Answers
Answer:
Step-by-step explanation: add i'll the sides togetheir
Related Questions
PLS SOLVEEEEEEEE!!! This is urgent :(
Answers
Answer:
B) 16
Step-by-step explanation:
12/3 = x/4
48 = 3x Divide both sides by 3
16 = x
Can anyone tell me how to solve this with step by step and show work
Also apparently the answers are A and C but I need to know how to get to the answer
Answers
Imagine your square has an area of 64,
That means it’s sides are 8 x 8
So only rectangles that are 8inches x 8 inches or less will fit. A and C have these dimensions, they will fit. The other two will not. See my attachment, the green rectangle must fit inside the 8 x 8 square.
Which ordered pairs are in the solution set of the system of linear inequalities?
y > Negative one-halfx
y < One-halfx + 1
On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 0) and (4, negative 2). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 2, 0) and (2, 2). Everything below the line is shaded.
(5, –2), (3, 1), (–4, 2)
(5, –2), (3, –1), (4, –3)
(5, –2), (3, 1), (4, 2)
(5, –2), (–3, 1), (4, 2)
Answers
The ordered pairs (5 , -2) , (3 , 1) , (4 , 2) are in the set of the solution (Option C)
What is an ordered pair?An ordered pair is a composite of the x coordinate (abscissa) and the y coordinate (ordinate), with two values expressed between parenthesis in a predetermined order.
It aids visual comprehension by locating a point on the Cartesian plane.
How do we arrive at the solution?The first line has negative slope and passing through points (0 , 0) and (4 , -2)
That is y > (-1/2)x
The second line has positive slope and passing through points (-2 , 0) and (2 , 2)
That is: y < (1/2)x + 1.
- Refer to the accompanying diagram to discover the common component of the solutions.
- The inequity is shown by the red shading.
- The inequity is shown by the blue shading.
- The two-colored shaded area reflects the common solutions to the two inequalities.
- Let's discover the ordered pairs in the system of linear inequalities' solution set.
- Points (-4, 2), (-3, 1), (4, -3) define the common shaded area.
- Points (5, -2), (3, 1), (3, -1) (4 , 2)
As a result, Point (5, -2) is in the darkened region.
As a result, Point (3, 1) is in the darkened area.
As a result, Point (4, 2) is in the darkened area.
As a result, the ordered pairings (5, -2), (3, 1), (4, 2) are in the solution set.
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Jaime currently pays $60 a YEAR for his Amazing Primo membership,
which allows him to rent movies for $2.25 each. However, he finds out that
with a Netflakes membership he could rent each movie for only $1.00. If
Netflakes charges $15 a MONTH for membership, how many movies
would Ricardo have to rent each month for a Netflakes account to be
cheaper overall than having Amazing Primo?
8
24
23
9
15
Answers
Answer:
9
Step-by-step explanation:
Let x = # of movies Jamie watches in a month. 5 + 2.25x represents the monthly cost of Amazing Primo, and 15 + x represents the monthly cost of Netflakes.
5 + 2.25x > 15 + x
1.25x > 10
x > 8
Jamie must watch more than 8 movies each month for the Netflakes account to be cheaper overall.
Christian randomly selects students from his grade to rate a math test as easy, moderate, or difficult. Of the students he surveyed, 13 said the test was easy, 11 rated it as moderate, and 3 found it difficult. Assuming that all students took the same test, how many of the 162 total students in Christian’s grade would probably rate the test something other than easy?
Answers
Answer:
84
Step-by-step explanation:
Total students he surveyed: 27
Amount that found it something OTHER than easy: 14 (11 moderate + 3 difficult)
This means that [tex]\frac{14}{27}[/tex] found it something other than easy
Multiply that by 162 to find the proportion for the larger population:
162 * (14/27), and we get 84.
What value of k will result in the quadratic having one rational solution if 4x2+kx+4=0?
Answers
The value of 'k' in the quadratic Equation [tex]4x^{2}+kx+4=0[/tex] having one rational solution is k is 8.
What is a Quadratic Equation?Quadratic equations are the polynomial equations of degree 2 in one variable of the type [tex]f(x) = ax^{2} + bx + c = 0[/tex] where a, b, c, ∈ R and a ≠ 0.The standard form of a quadratic equation is [tex]ax^{2} + bx + c = 0[/tex] .Here, the given equation is [tex]4x^{2}+kx+4=0[/tex]
By comparing the given equation with the standard form of the quadratic equation we get,
a = 4
b = k
c = 4
The given quadratic is having one rational solution, which means [tex]b^{2} -4ac=0[/tex]
Therefore,
[tex]k^{2} -4 \times 4\times4=0\\k^{2} -64=0\\k^{2} =64\\k=\sqrt{64} \\k=8[/tex]
Therefore, the value of k is 8.
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A bag contains 1 white (W), 3 blue (B1, B2, B3), and 2 red (R1, R2) marbles. (4 points)
Use a tree diagram to list all the possible outcomes for tossing a coin and then drawing a marble from the bag.
show all work
insert picture of the tree diagram pls
Answers
The possible outcomes are WH, BH, BH, BH, RH, RH, WL, BL, BL, BL, RL, RL
How to determine the possible outcomes?The given parameters are:
Coin = Head (H) and Tail (T)
Marble = W, B, B, B, R, R
See attachment for the tree diagram
From the tree diagram, we have the following possible outcomes
WH, BH, BH, BH, RH, RH, WL, BL, BL, BL, RL, RL
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What is the missing letter in the pattern below?
t, s, r, q, _, o, n, m,...
A. u
B. p
C. l
D. v
Answers
The missing letter is p. The correct option is B. p
Letter patternFrom the question, we are to determine the missing letter in the given pattern
The given pattern is
t, s, r, q, _, o, n, m,...
Consider the English alphabet
a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z.
If we study the pattern, we will realize that the alphabets are in the reverse order.
Hence, the missing letter is p. The correct option is B. p
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For decades, hoax artists have been going out into grain fields to make crop circles like the one shown below. Though many people believed these crop circles to be the work of aliens we now know that these designs were made by people with very simple tools and some geometric knowledge. To make each circle, one person stands stationary in a field holding a rope of a specific length, while another person holds the other end of the rope. The second person circles the first and uses a wooden plank to bend the grain stalks until all the grain in that circle lies flat against the ground. Then they both move to make other circles. The result is often very beautiful, especially when seen from the air. Along with the image below, Use your knowledge of the unit circle and radian measure of angles to answer the following questions. [Note: When the questions ask you to consider circles and their angle in relation to the main circle, the question is referring to the location of the center of each circle.]
a. Consider circles 1 through 6. If these circles are equally spaced around the main circle, and circle 1 is at 0°, what is the direction (in degrees) of each of these circles in relation to the main circle?
b. Consider circles 7 through 12. If circle 7 is at 45°, what is the radian measure of each of these circles in relation to the main circle? Explain how you know these values.
c. If the center of circle 3 is 100 feet away from the main circle, what are the coordinates of the center of circle 3 (the origin is at the center of the main circle)? Use these coordinates to prove that the distance from the centers of circle 3 and the main circle are 100 feet apart.
d. After creating the design, the designers want to inspect their work. They start at 0° and walk all the way around the design almost two times and stop at circle 12. How many radians did they cover during their inspection?
e. Consider circles 5 and 6. In relation to the main circles, do the center points of circles 5 and 6 have even or odd symmetry? Why?
Answers
a. circle 2 = 60°
circle 3 = 120°
circle 4 = 180°
circle 5 = 240°
circle 6 = 300°
b. circle 8 = 15°
circle 9 = 75°
circle 10 = 155°
circle 11 = 215°
circle 12 = 265°
How to determine the valuesFrom the information given, we have that;
There are six major circles
Six minor circles
a. There are 6 circles at a point
Note that angles at a point sum up to 360 degrees
Now, let's divide their sum by the six parts
= [tex]\frac{360}{6}[/tex]
= [tex]60[/tex] degrees
Then, circle 1
= 0 × 60
= 0
Circle 2
= 1 × 60
= 60°
Circle 3
= 2 × 60
= 120°
Circle 4
= 3 × 60
= 180°
Circle 5
= 4 × 60
= 240°
Circle 6
= 5 × 60
= 300°
b. We have that each of these circles ( circle 7 - 12) radian measure is
= main circle - [tex]\frac{\pi }{12}[/tex]
The relative position or direction of circle 7 - 12 to their corresponding main circles ( 1 - 6) are all the same, we then have;
For circles 8
= 60° - 45°
= 15°
Circle 9
= 120° - 45°
= 75°
Circle 10
= 180° - 45°
= 155°
Circle 11
= 240° - 45°
= 215°
Circle 12
= 300° - 45°
= 265°
They share the relationship of radian of circle 7 - 12 corresponding to circles 6 - 12 minus π/12
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Can someone help me with these two problems and show work please !
Answers
Answer:
1. The zeros are at x = 0 and x = –10
2. The zeros are at x = 3 and x = 4
Step-by-step explanation:
1. f(x) = x (x + 10)
Multiplying any number by 0 = 0,
so f(x) = 0 when...
• x = 0
or
• x + 10 = 0 (if you subtract 10 from both sides, you get x = –10)
2. f(x) = x (x - 3) – 4 (x - 3)
Use distributive property to expand
x² – 3x – 4x + 12
Combine like terms
x² – 7x + 12
Factor
(x – 3) (x – 4)
(You could have also just noticed in the original function that both x and –4 were multiplied by (x – 3) and factored then.)
So f(x) = 0 when...
• x – 3 = 0 (add 3 to both sides to get x = 3)
or
• x – 4 = 0 (add 4 to both sides to get x = 4)
I hope that helped!
Which statements can be concluded from the diagram and used to prove that the triangles are similar by the SAS similarity theorem?
StartFraction R S Over V U EndFraction = StartFraction S T Over U T EndFraction and angle S is-congruent-to angle U
StartFraction R S Over V U EndFraction = StartFraction S T Over U T EndFraction = StartFraction R T Over V T EndFraction
StartFraction R S Over V U EndFraction = StartFraction T U Over T S EndFraction and angle S is-congruent-to angle U
StartFraction R S Over V U EndFraction = StartFraction T U Over T S EndFraction = StartFraction R T Over V T EndFraction
Answers
The statement that can be concluded from the triangle is A. RS/VU=ST/UT and ∠S≅∠U.
How to illustrate the information?The Side-Angle-Side Similarity Theorem states that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar.
In this problem the included angle is ∠S≅∠U, therefore side RS must be proportional to side VU and side ST must be proportional to side UT
Hence, RS/VU=ST/UT.
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Mari works part time selling both hats and scarfs. One week she earns $114.00 by selling eight hats and 10 scarves. The following week she sold 12 hats and six scarves and earned $108.00. How much does she earn for each hat and scarf she sells?
Answers
Using a system of equations, it is found that she earns $5.5 for each hat and $7 for each scarf sold.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
Variable x: Cost of a hat.Variable y: Cost of a scarf.One week she earns $114.00 by selling eight hats and 10 scarves, hence:
8x + 10y = 114.
The following week she sold 12 hats and six scarves and earned $108.00, hence:
12x + 6y = 108
Simplifying by 6:
2x + y = 18
y = 18 - 2x.
Replacing in the first equation:
8x + 10y = 114.
8x + 10(18 - 2x) = 114
12x = 66
x = 66/12
x = 5.5
y = 18 - 2x = 18 - 2 x 5.5 = 7.
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In Wagnerian music drama, a basic recurring theme representing a person, object, event, or emotion is known as:
Answers
In Wagnerian music drama, a basic recurring theme representing a person, object, event, or emotion is known as Leitmotif.
Leitmotiv, from the German "leading motive," is a recurrent musical motif that typically appears in operas but can also be found in symphonic poems.Overture to a concert. Romantic-era concert piece for orchestra in one movement, frequently based on a literary program.What is serious opera called?
Opera seria, or "serious opera," is an Italian operatic genre that was popular in 18th-century Europe. The genre is commonly referred to as Neapolitan opera since it first appeared in the late 17th century, particularly in the works of Alessandro Scarlatti and other composers based in Naples.What is Wagnerian leitmotif?
A theme of easily recognizable melodic, rhythmic, or harmonic identity, first used in connection with a certain character of incident, and which returns time and time again, always with a recollection of the original association. The term was coined by the Wagnerian scholar Hans von Wolzogen.Learn more about leitmotif
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If the sum of three numbers is 200, and the smallest number is 25, could the largest number be 75?
Answers
Answer:
No largest no could be 100
Step-by-step explanation:
Yes, the sum of the three numbers is 200, and the largest number can indeed be 75.
Let's assume the three numbers are:
Smallest number = 25
Middle number = x (unknown)
Largest number = 75
The sum of the three numbers is 200, so we can set up the equation:
25 + x + 75 = 200
Now, let's solve for x:
x = 200 - 25 - 75
x = 100
So, the middle number is 100.
Now, we can check if the largest number (75) is correct:
25 + 100 + 75 = 200
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The mean number of goals a netball team scores
per match in the first 9 matches of a competition
is 4.
a) How many goals does the team score in total in
the first 9 matches of the competition?
b) If the team scores 3 goals in their next match,
what would their mean number of goals after 10
matches be?
Answers
The goals does the team score in total in the first 9 matches of the competition is 36 and their mean number of goals after 10 matches is 3.9.
What is the total goals scored by the team in 9 matches ?Given that the mean number of goals a netball team scores per match in the first 9 matches of a competition is 4.
Thus the average of the goals in 9 matches is 4.
Total number of goals is = 9*4 = 36 goals .
What is the mean number of goals after 10 matches ?Given that the team scores 3 goals in their next match .
Thus the total number of goals scored in 10 matches is 36 + 3 = 39 goals,
Required mean = Total goals / 10 matches .
∴ Required mean = 39/10 = 3.9 .
Therefore, the goals does the team score in total in the first 9 matches of the competition is 36 and their mean number of goals after 10 matches is 3.9.
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Answers are 1/3, 1/2, and 1/4 (not respectively). But can someone tell me how to get there please?
Answers
The value of X is 1/3 and Y is 1/2 and Z is 1/4.
According to the statement we have given the equations which are
X + Y = 5XY -(1)
Y + Z = 6YZ -(2)
Z + X = 7XZ -(3)
and we have to find the value of X,Y,Z.
So, solve the equations for the X,Y,Z
From (1) equation
Y = X / (5X-1) -(4)
From (3) equation
Z = X / (7X-1) -(5)
Put (4) and (5) in (2) then
X / (5X-1) + X / (7X-1) = 6{[X / (5X-1)][X / (7X-1)]}
X(7X-1) + X(5X-1) = 6{[X / (5X-1)][X / (7X-1)]} / {[1 / (5X-1)][1 / (7X-1)]}
Then after solving
12(X)^2 -2X = 6(X)^2
6(X)^2 -2X = 0
X (6X-2) = 0
X = 0, X = 1/3
Here X = 0 is neglected.
So, X=1/3 -(6)
Put (6) in (4) and (5) then
From 4
Y = X / (5X-1)
Y = (1/3) / (5(1/3)-1)
Y = (1/3) / (2/3)
Y = 1/2.
From (5) equation
Z = X / (7X-1)
Z = (1/3) / (7(1/3)-1)
Z = (1/3) / (4/3)
Z = 1/4.
So, The value of X is 1/3 and Y is 1/2 and Z is 1/4.
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1. Mrs Ratu bought a Twin-Tub Washing Machine from M.H Homemaker in Suva. The washing machine's Cash Price is $650.00. She paid a deposit of $250.00 and agrees for a 24 monthly payments of $25.50 per month. a. Calculate the monthly instalment of 24 months. b. How much would she have to pay altogether for the Washing Machine? C. How much could she save if she had bought in cash?
Answers
Answer:
925.5
Step-by-step explanation:
Hope it helps!
<3
A triangle has vertices at coordinates $(11,1)$, $(2,3)$ and $(3,7)$. What is the number of units in the length of the longest side of the triangle
Answers
Answer:
10 units
Step-by-step explanation:
the longest length is from (11, 1) to (3, 7) and can be clearly shown when graphed
now to find the length you must use the pythagorean theorem
the distance between 11 and 3 is 8 and the distance between 1 and 7 is 6 so
8^2 + 6^2 = c^2
64 + 36 = c^2
100 = c^2
c = 10
that is your answer
How to represent 5 rational numbers on line. the numbers should be of form p/q where p or q should be a taxicab number. the fraction can be then reduced to its standard form. write about the taxicab numbers in brief.
Answers
The five rational numbers are 1/1729, 1/2, 3/2, 2/1, 1729/1 and the numbers should be of form p/q where p or q should be a taxicab number.
According to the question,
To represent 5 rational numbers on line, the numbers should be of form p/q where p or q should be a taxicab number.
A taxicab number is a smallest integer can be expressed as a sum of two positive integer cube.
The most famous taxicab number is 1729. Thus,
1729 = 1³ + 12³
1729 = 9³+ 10³
Now, 2 = 1³ + 1³ so, 2 is the first taxicab number. Therefore, five rational numbers are 1/1729, 1/2, 3/2, 2/1, 1729/1.
In 1/1729 -> 1729 is taxicab number
In 1/2 -> 2 is taxicab number
In 3/2 -> 2 is taxicab number
In 1/1729 -> 2 is taxicab number
In 1729/1 -> 1729 is taxicab number
Hence, five rational numbers are 1/1729, 1/2, 3/2, 2/1, 1729/1 and the numbers should be of form p/q where p or q should be a taxicab number.
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PLEASE ANSWERERRREEERRR
Answers
the operation:
[tex]2*10^1 - 4*10^0 = 20 - 4 = 16[/tex]
Gives a square number.
How to get a perfect square?
A perfect square is the product of a number and itself.
As you can see in the example, 16 is a square number. Then let's try to get 16.
To get 16 we can use the difference:
20 - 4
So the first therm needs to be equal to 20, and the second equal to 4.
To write 20 in scientific notation we have:
[tex]2*10^1[/tex]
To write 4 in in scientific notation:
[tex]4*10^0[/tex]
Then the operation:
[tex]2*10^1 - 4*10^0 = 20 - 4 = 16[/tex]
Gives a square number.
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PLEASE HELP QUICK!!
Javier will evaluate the expression 2a(to the power of 3) - 1 for a = 2. Once he submitted 2 for a in the expression, what is the next step Javier needs to take in order to evaluate the expression?
Answers
The next step Javier needs to take in order to evaluate the expression is to simplify it to it's lowest term. Details below
Data obtained from the questionExpression = 2a³ - 1Evaluation =?How to evaluate the expressionFrom the question given, we were told that Javier submitted 2 for a
Thus, the new expression becomes
2 × 2³ - 1
Recall
Aⁿ × Aᵐ = Aⁿ⁺ᵐ
Thus,
2 × 2³ = 2¹⁺³ = 2⁴
Therefore,
2 × 2³ - 1 = 2⁴ - 1
But
2⁴ = 16
Thus,
2⁴ - 1 = 16 - 1
2⁴ - 1 = 15
Therefore,
2 × 2³ - 1 = 15
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Simplify equation
(answers in the picture)
Answers
Hello !
[tex](x {}^{a} ) {}^{b} = x {}^{a \times b} [/tex]
[tex](b {}^{5} ) {}^{2} = b {}^{ 5\times 2} = b {}^{10} [/tex]
→ Answer D
Answer:
D
Step-by-step explanation:
using the rule of exponents
[tex](a^{m}) ^{n}[/tex] = [tex]a^{mn}[/tex] , then
[tex](b^5)^{2}[/tex] = [tex]b^{5(2)}[/tex] = [tex]b^{10}[/tex]
What's the correct equation?
Answers
Answer:
C
Step-by-step explanation:
y=mx+b where m is the slope or weekly payments and b is the y-intercept or initial fee.
300 = 30w + 60 fits this
SOMEONE PLEASE HELP!!!!!!
Consider the functions graphed below. A curve a intersects a parabola b at (negative 1, 0 point 5) and a parabola c at (negative 2 point 4, 0 point 3). A diagonal curve d intersects the parabola b at (0 point 5, 0) and (2, 3) and parabola c at (negative 1 point 2, negative 1 point 2). Determine which function has the greatest rate of change over the interval [0, 2]. A. d B. b C. c D. a
Answers
The function with the greatest rate of change over the interval [0, 2] is: D. a.
How to determine function with the greatest rate of change?In Mathematics, the rate of change of a function over a given interval can be determined by calculating the slope of the straight line which connect its end points.
Mathematically, the slope of any straight line can be calculated by using this formula;
[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]
For line a, we have:
Points (x, y) = (0, 1) and (2, 4)
Slope = (4 - 1)/(2 - 0)
Slope = 3/2 or 1.5.
For line b, we have:
Points (x, y) = (0, 0) and (2, 2)
Slope = (2 - 0)/(2 - 0)
Slope = 2/2 or 1.0.
For line c, we have:
Points (x, y) = (0, -1) and (2, 0)
Slope = (0 + 1)/(2 - 0)
Slope = 1/2 or 0.5.
For line d, we have:
Points (x, y) = (0, 0.5) and (2, 2.5)
Slope = (2.5 - 0.5)/(2 - 0)
Slope = 2/2 or 1.
In conclusion, we can logically deduce that "function a" has the greatest rate of change over the interval [0, 2].
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How many different 2 digit numbers are there with the following property: the tenth digit is greater that the units digit?
Answers
Answer:
45 numbers
Step-by-step explanation:
The 10-digit numbers are from 10-99. We can manually analyze each tenth digit and see if we can find a pattern from it. First, 10-19 ~ 10 is the only number in the sequence where the tenth digit is greater than the unit digit (because 1 > 0). In every other case, 1 is less than or equal to the unit digit.
Next, 20-29 ~ 20 and 21 are the two numbers where the tenth digit is greater than the unit digit
30-39 ~ 30, 31, 32 follow the property
40-49 ~ 40, 41, 42, 43 follow the property
We can keep going, but we can see that there is a pattern. The number of numbers that correspond with the property for each set of 10 numbers is equal to the value of the tenth digit. We see that for the 40s, there are 4 numbers. For the 20s, on the other hand, there are 2 numbers. This pattern carries through:
50-59 ~ 5 numbers, 60-69 ~ 6 numbers, 70-79 ~ 7 numbers, 80-89 ~ 8 numbers, 90-99 ~ 9 numbers
We need to find how many 2-digit numbers total follow the property. We can just add our results together to get our answer:
1+2+3+4+5+6+7+8+9=45
Find the volume of the pyramid. Round to the nearest tenth if necessary. hurry!!
Answers
Answer:
Step-by-step explanation:
All pyramids have a volume as one-third of a prism with the same base area and the same height.
This will make the formula for the volume [tex]\frac{1}{3}(base*height)[/tex]. We already know the height of the pyramid is 10, but the area of the base for this rectangle would be its length and its width. Let's calculate this:
[tex]7*2.3=16.1\hspace{0.1cm}in^2[/tex]
Let's put these values back into the formula:
[tex]V=\frac{1}{3}(16.1*10)\\ V=\frac{1}{3}(161)\\ V= 53.7\hspace{0.1cm}in^3[/tex]
A streetlight is at the top of an 18ft tall pole. A woman 6 ft tall walks away from the pole at a speed of 4 ft/sec along a straight path. How fast (in ft/sec) is the tip of her shadow moving away from the pole when she is 45 ft from the base of the pole
Answers
The woman's shadow is moving away from the pole at the speed of 4 feet/sec.
Calculating the value of shadow speedThe height of a pole-mounted street light = 18 ft
The height of a lady = 6 ft
The woman is moving quickly and directly away from the pole. Her speed = 4ft/sec.
The woman's distance from the pole at the precise moment question want to know the speed of the woman's shadow's leading edge = 45ft
A woman standing 6 feet tall moves away from the pole in a straight route at a pace of 4 feet per second. If we assume that t is the passing time in seconds and that x is the distance in feet between the pole and the lady, we are informed that dx/dt=4 ft/sec.
Therefore, it is concluded that the final answer is 4 ft/sec.
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Step 4: By the definition of similar polygons, the lengths of corresponding sides are __________. This means that OKNL = KMLM OKNL = KMLM . Substituting in the lengths, we get 128 = 20 + xx 128 = 20 + xx . Cross multiply and solve the proportion for x.
Answers
By the definition of similar polygons, the lengths of corresponding sides are proportional.
The proportion for [tex]x=40[/tex].
What are similar polygons?Similar polygons are two polygons that have the same shape but are not always the same size. Similar polygons have congruent angles and proportional sides. Consider identical polygons as enlarging or contracting the same shape. The similarity is represented by the symbol.As it is given in the definition, similar polygons have congruent angles and proportional sides.
Therefore, by the definition of similar polygons, the lengths of corresponding sides are proportional.
Cross multiply and solve the proportion [tex]x[/tex] as follows:
The blank should be proportional.
[tex]\frac{12}{8} =\frac{20+x}{x}\\ 12x=160+8x\\4x=160\\x=40[/tex]
Therefore, the proportion for [tex]x=40[/tex].
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PLEASE HELP!! This graph shows the bird population of a large lake. Note that the
number of birds at the lake in the month of December is zero. What
does this extreme drop between November and December MOST
likely represent?
Select one:
O a. The beginning of duck hunting season.
O b. A reflection of the migratory nature of the birds at the lake.
O c. An inaccurate collection of data, and so, invalid results.
Od. A reflection of the hibernation patterns of the birds at the
lake.
Answers
The extreme drop can be said to most likely represent: b. A reflection of the migratory nature of the birds at the lake.
What is Bird Migration?Bird migration is a natural process which can be described as a the movement of different birds by flight across thousands of kilometers in search of ecological conditions and habitats that favors breeding, feeding, and raising of their young.
Migratory birds have well built physiology and morphology that make them better equip to fly fast and across long distances in search of the best ecological conditions, which is dependent on seasons.
Like in the graph given, like we see that at the beginning of January, number of birds were few in the lake until sudden increase occurred. It can be said that during those period of increase, the ecological conditions favored the survival of the bird until November and December. This extreme drop can be said to most likely represent: b. A reflection of the migratory nature of the birds at the lake.
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I dont know this. pls help
Answers
Answer:
28, 4 or 4, 28 (order doesn't matter, both are true answers)
Step-by-step explanation:
l + w = 32
l*w = 112
l = 112/w
112/w + w = 32
w = 28 or 4
l = 28 or 4
Answer:
4,28
Step-by-step explanation:
So let's look at the sentence to take any necessary information out. It says the length of a rectangle plus it's width is 32. Since we do not know what the length and width are, let's just represent them as L (length) and W (width). Using this information we get the equation: [tex]L + W = 32[/tex] and since we're given the area of the rectangle, we can also define another equation which is: [tex]LW = 112[/tex] since the length * width = area.
So now all we have is a systems of equations. We can solve for L or W in the area equation and plug it into the addition equation. We can also solve for L or W in the addition equation and then plug it into the area equation, either should work, but in this example I'll solve for L in the addition equation:
Original Equation:
[tex]L + W = 32[/tex]
Subtract 32 from both sides
[tex]L = 32-W[/tex]
Now let's use this definition of L to plug into the second equation:
[tex]LW = 112 \implies (32-W)W = 112[/tex]
Distribute the W
[tex]-W^2+32W=112[/tex]
Now if you notice, we simply have a quadratic equation and we can subtract 112 from both sides and then use the quadratic formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Subtract 112 from both sides
[tex]-W^2+32W-112=0[/tex]
Use quadratic formula
[tex]W = \frac{-32\pm\sqrt{32^2-4(-1)(-112)}}{2(-1)}[/tex]
Simplify stuff in radical
[tex]W = \frac{-32\pm\sqrt{576}}{-2}[/tex]
Calculate the square root
[tex]W=\frac{-32\pm24}{-2}[/tex]
Use positive sign:
[tex]W=\frac{-32+24}{-2}[/tex]
Simplify numerator
[tex]W = \frac{-8}{-2}[/tex]
Simplify fraction
[tex]W=4[/tex]
Take negative sign
[tex]W = \frac{-32-24}{-2}[/tex]
Simplify numerator
[tex]W=\frac{-56}{-2}[/tex]
W = [tex]28[/tex]
So we have two solutions, and the reason for this is because had we solved for W in the original equation and substituted that into here, there would be no different, it's not bound by some variable name. So these are actually the two sides of the rectangles
4 + 28 = 32
4 * 28 = 112
4, 28