The dimensions of the rectangular area of Tina's fence is 40 ft by 40 ft
Area of a rectangle:area = lwwhere
l = length
w = width
She wants to create a rectangular area of 1,600 square feet for her pet . Therefore,
area = 1600 ft²lw = 1600
Therefore,
perimeter = 160 ft
Then,
perimeter of rectangle = 2(l + w)
160 = 2(l + w)
l + w = 80
Let's combine the equations
lw = 1600
l + w = 80
l = 80 - w
Therefore,
w(80 - w) = 1600
80w - w² = 1600
Therefore,
w² - 80w + 1600 = 0
w² - 40w - 40w + 1600 = 0
w(w - 40) - 40(w - 40) = 0
(w - 40)(w - 40) = 0
w = 40 or 40
Therefore, the dimensions can be calculated as follows:
lw = 1600
40l = 1600
l = 1600 / 40
l = 40 ft
Therefore, the dimensions are 40ft by 40 ft
learn more on algebraic model here: https://brainly.com/question/4151078
pls help answer don't understand
Answer:
1.1
Step-by-step explanation:
square root of 1.19- 1.09087...- rounded to 1.1
Answer:
it is 1.1
you should use calculator
Step-by-step explanation:
:)
What happens if the red lines are NOT parallel. Which angle types are still congruent?(please help)
Answer:
If they are not parallel they will cross.
The angle types that are still congruent are the angles that are the same size.
Step-by-step explanation:
Parallel lines never cross but non parallel lines cross.
Could I please have BRAINLIEST?Answer:
vertical ?
Step-by-step explanation:
sorry if wrong :')
A shipping box should weigh 2.0 pound. If there is a 5% error on the weight, what is the range of acceptable weight? Question 2 options: 0.1 pound to 0.9 pound 1.1 pounds to 2.2 pounds 1.9 pounds to 2.1 pounds 2.0 pounds to 2.1 pounds
Answer:
2
lb
,
0.05
a
,
2
,
0.1
lb
,
0.99
lb
2
,
4.18
lb
2
,
4.2
lb
2
,
2.1
lb
Step-by-step explanation:
This figure has two intersecting lines and a ray. What is the value of x?
108°
72°
19°
37°
Answer: The answer is 37
Step-by-step explanation:
If you subtract 71 from 108 the answer is 37
Since the angles of (x + 71)º is opposite to the same vertex to the angle of 108º, it is found that x = 37º.
The ray generated two angles, xº and 71º.Adding these angles, there is an angle of (x + 71)º, which is opposite to the same vertex to the angle of 108º, meaning that they have the same measure.
Applying the equality:
[tex]x + 71 = 108[/tex]
[tex]x = 108 - 71[/tex]
[tex]x = 37[/tex]
Thus, x = 37º.
A similar problem is given at https://brainly.com/question/16742265
Find the sum of the measures of the interior
angles of a convex 70-gon.
What is (184730248764874252034*9748242241036484916485)\(9489258234569786578024628435672046*72386438952467922592641964870)+(892187341935496495*2873937610)+(903781)?
i cant tell if thats a real question or not but ahhhhh thats a big number
Who ever is reading this:
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The world needs u
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ur beautiful for who u r, not wht u look like. no matter ur shape, size, color, gender.. anything
don't give up bby i need u to live.
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Pls pass this on. Everyone deserves to know this. ♥️♥️
just copy and paste its not hard pls this could save someones life
Answer:
it 40 super easy
Step-by-step explanation:
Question:
The variables x and y are directly proportional, and y = 4 whenx = 3. What is the value of y whenx = 15?
What is the midpoint of the segment below?
Answer:
A. (0,2)
Step-by-step explanation:
solve for x. 3x+9=15x-5. show work
Sol:
3x-15x=-5-9
or,-12x=-14
or,x=14/12
or,x=1.667
so, x=1.667
Answer:
[tex]3x+9=15x-5[/tex]
[tex]3x+9-9=15x-5-9[/tex]
[tex]3x=15x-14[/tex]
[tex]3x-15x=15x-14-15x[/tex]
[tex]-12x=-14[/tex]
[tex]\frac{-12x}{-12}=\frac{-14}{-12}[/tex]
[tex]x=\frac{7}{6}[/tex]
or
[tex]x=1.1666[/tex]
given g(x)=5x+4, solve for x when g(x)=9
Answer:
The value of x is equal to 1, written as x = 1.
General Formulas and Concepts:
Algebra I
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityTerms/Coefficients
Functions
Function NotationStep-by-step explanation:
Step 1: Define
g(x) = 5x + 4
g(x) = 9
Step 2: Solve for x
Substitute in function value: 9 = 5x + 4[Subtraction Property of Equality] Subtract 4 on both sides: 5 = 5x[Division Property of Equality] Divide 5 on both sides: 1 = xRewrite: x = 1∴ when the function g(x) equals 9, the value of x that makes the function true would be x = 1.
---
Topic: Algebra I
The formula below relates distance, rates, and time.
d = rt
Solve this formula for t
d = rt
d/r rt/r
d/r = t
Please help (explain it)
Answer:
The y-intercept is 2 because it is on the y-axis. The y-intercept is located on the y-axis.
C
5 mi
12 mi
What is the length of the hypotenuse?
C =
miles
The average number of customers that visited a particular store during the past year is 200 per day and a standard deviation of 25 customers per day. The probability that x>200 is:
Answer:
0.5
Step-by-step explanation:
Considering we are given a mean and standard deviation, the distribution of the data is likely to be a normal or Gaussian distribution, i.e. a symmetrical, bell-shaped distribution of probability density, peaked at the mean;
Such a distribution has 0.5 probability each side of the mean;
So, if the mean is 200 then, the probability that the number of customers is greater than 200 (x > 200), according to this mean, is 0.5;
As a normal distribution is symmetrical, this is also the probability of a number of customers less than 200.
if p is q and q is r which statement must be true
A.S is p
B.R is p
C. p is s
D. P is R
Answer: D
Step-by-step explanation:
Answer:p is r
Step-by-step explanation:
A pre-paid cell phone plan has a flat rate of $15 with an additional cost of $0.15 per
minute. At most, how many minutes can Chelsea purchase if she has $35?
Write an inequality for this statement, write out 3 values that would make the inequality true
Answer:
anything less than 133 would be true
Step-by-step explanation:
35 ≥ 0.15m + 15
solve for m
subtract 15 from both sides
20 ≥ 0.15m
divide both sides by 0.15
133.33 ≥ m
m cannot be more than 133 minutes
Molly pracices her multiplication tables every 3 days, her division facts every 5 days, and fractions every 6 days. If she practiced all three skills today, in how many days will she practice all three skills again?
Answer: 30 days.
Step-by-step explanation: Figure out the least common multiple for each number.
х
у
-11
-3
-1
-3
0
9
un lwin
13
21
Which function best represents the relationship shown in the graph? 8.51
А
1
y -x + 1
B
y = 4x - 1
C y = x + 4
Dy = 4x + 1
A semicircle is drawn onto one of the shorter sides of a rectangle. The shorter side of the rectangle measures 4 centimeters. The area of the figure is 41.4 square centimeters.
What is the length of the longer side of the rectangle?
Use 3.14 for π.
Enter your answer as decimal in the box.
We are given that :
A semicircle is drawn onto the shorter side of rectangle.Shorter side of rectangle measures 4cm. i.e; the diameter of the circle is 4cmArea of the figure is 41.4 cm²Using Formulas:
Area of rectangle:
[tex] \quad\hookrightarrow\quad{\pmb{ \mathfrak {length\times breadth }}}[/tex]
Area of semicircle:
[tex] \quad\hookrightarrow\quad{\pmb{ \mathfrak{ \dfrac{\pi r^2 }{2}}}}[/tex]
We have to find the length of longer side of rectangle!Here, we can know that the figure is composed of one rectangle and one semicircle. Therefore by combining the areas of rectangle and circle and taking the length of rectangle as a variable , we will finds its value ;
[tex] \quad\dashrightarrow\quad \sf {Area_{\tiny { total}} = Area_{\tiny {rectangle}}+ Area_{\tiny {semicircle}}}[/tex]
[tex] \quad\dashrightarrow\quad \sf {A = ( l \times b ) + \dfrac{\pi r^2 }{2} }[/tex]
[tex] \quad\dashrightarrow\quad \sf {41.4 = ( l \times 4 ) +\dfrac{3.14\times 2^2}{2} }[/tex]
[tex] \quad\dashrightarrow\quad \sf { 41.4= ( l \times 4 )+ \dfrac{ 3.14\times 4}{2}}[/tex]
[tex] \quad\dashrightarrow\quad \sf { 41.4=( l \times 4 )+ \dfrac{12.56}{2}}[/tex]
[tex] \quad\dashrightarrow\quad \sf { 41.4= (l \times 4 )+ 6.28}[/tex]
[tex] \quad\dashrightarrow\quad \sf {l \times 4 = 41.4-6.28 }[/tex]
[tex] \quad\dashrightarrow\quad \sf { l\times 4 = 35.12}[/tex]
[tex] \quad\dashrightarrow\quad \sf { l =\dfrac{35.12}{4}}[/tex]
[tex] \quad\dashrightarrow\quad \underline{\underline{\pmb{\sf {l = 8.78\:cm}}} }[/tex]
The length of the longer side of the rectangle will be 8.78 cm.
What is the area?The area of a two - dimensional figure is the area that its perimeter encloses. The quantity of unit squares that occupy a closed figure's surface is its region.
On one of a rectangle's shorter sides, a semicircle is drawn. The rectangle's shorter side is 4 cm long. The figure has a surface area of 41.4 square centimeters.
Then the length of the rectangle is calculated as,
A = πr² / 2 + l × b
41.4 = (3.14 / 2) × (4/2)² + 4l
41.4 = 6.28 + 4
l = 8.78 cm
The length of the longer side of the rectangle will be 8.78 cm.
More about the area link is given below.
https://brainly.com/question/27683633
#SPJ3
How do you factor m^2+6m-7
Answer:
Your answer is: (m-1) (m+7)
Step-by-step explanation:
Hope this helped : )
4. If the area of a rectangle is 6 m2, then the dimensions must be 2 meters by 3 meters. oh
Answer:
False.
Step-by-step explanation:
The formula that is used to find the area of a rectangle is given by :
A = l×b
Where,
l is length and b is breadth
If area of a rectangle is 6m², it means we need to find the factors of 6. The factors of 6 are 2 and 3. If we multiply 2 and 3, we get 6.
Other possibility can be 1 m by 6 m because if we muliply 1 m and 6 m, we get 6m².
It means there are more than one possibiliy about the length and breadth of the rectangle.
Hence, the given statement is not true.
While reviewing last month's finances, Oscar noticed that he had spent $200 on a wedding cake and deposited $500 that he had earned from selling books to a used bookstore. Then, he again spent $127 to buy some new books. Which integer represents the change in Oscar's savings?
Answer:
$173
Step-by-step explanation:
Given the following :
Amount spent on wedding cake = $200
Amount deposited = $500
Amount spent on new books = $127
Change in savings :
Amount deposited - total amount spent
Total amount spent = ($200 + $127).= $327
Hence,
Change in saving = $500 - $327
= $173
14. The referee at a college football game is standing 12 yards behind the ball. The
back judge is standing 22 yards in front of the ball. The field judge is standing
exactly halfway between them. Using coordinates to model the situation, find
how far in front of the ball the field judge is. Explain.
Using coordinates, the field judge is exactly 5 yards in front of the ball.
What are coordinates?These are values that show the position of an object, these values often include a number for the x-axis (horizontal axis) and one for the y-axis (vertical axis).
What are the positions of the referee, the back judge, and the field judge?If we consider the ball as 0 or the starting point the coordinates are:
Referee (12, 0)Back judge (-22,0)Field judge y-axis = 0 because all of them are at the ground levelx- axis = 12 + 22 = 34/2 = 17x- axis =-22+17= -5=x-axis= -5 or 5 yards in front of the ball.Learn more about coordinates in: https://brainly.com/question/13140132
Can someone help me with this please 1/4(5x+16/3)-2/4(3/4x+1/2)=-5.
I am in 8th grade and i need help on Pre Algebra could you help me?
Answer:
Sure, what do you need help on?
can someone help me do this??? Thank youuuu!!!!
Answer:
See below.
Step-by-step explanation:
a) Complementary angles (= 90°)
∠DCM and ∠DMC∠FGM and ∠GMFb) ∠FMG, ∠GMC, and ∠DMC
Ms. Waters, the manager of Paradise Lake, just ordered a duck and goose food dispenser. She plans to use a paper cone to hold the pellets. The machine is set to dispense no more than 350 cm3 of food for each token. The cones are 12 cm. in diameter. How tall must the cone be to hold the food
Step-by-step explanation:
Equation for the volume of a cone is
V = (pi(r^2)h)/2
Plug in the known values to get
350 = (pi(6^2)h)/2
To find h, just isolate it by first dividing both sides by 2 and squaring 6 to get
175 = pi(36)h
Then, divide both sides by pi36 to get
h = 175/pi(36)
what fraction is equal to 1.5?
Answer:3/2
Step-by-step explanation:
Write the equation of the line that passes through (2, 0) and (0, 3).
Answer:
Y= -1.5x+3
Step-by-step explanation:
(Y-Y1)=m(x-x1)
0-3=m(2-0)
m= -1.5
Y= -1.5x+B
when y=3 and x=0 b=3
a toy manufacturer estimates that 16% of its products are defective. if it produces 550 toys in one day, how many will be defective?
Answer:
88 toys
Step-by-step explanation:
If 16 percent of them are defective we want to multiply 550 by .16. This gets you 88.