Answers
This is a right triangle. Use the Pythagorean theorem to solve:
x^2 + 5.8^2 = 15.6^2
x^2 + 33.64 = 243.36
Subtract 33.64 from both sides:
x^2 = 209.72
Take the square root of both sides:
x = 14.48171
Round to 1 decimal place:
x = 14.5 in.
Answer:
x = 14.5 in
Step-by-step explanation:
There is something called pythagoras' theorem. It states that
a^2 + b^2 = c^2,
a, b and c being sides of a right-angled triangle.
C is always the hypotenuse and a and b are any of the other two.
(The hypotenuse is always the longest side, and always opposite to the right angle, which is always the biggest angle of a right-angled triangle.)
So here we know two sides, the hypotenuse and another side. Let's substitute them into the formula:
5.8^2 + x^2 = 15.6^2
x^2 = 15.6^2 - 5.8^2
x^2 = 243.36 - 33.64
x^2 = 209.72
x = sqr209.72
x = 7sqr107/5 = 14.48171261 in
= 14.5 in (if rounded to 3 significant figures)
You could use a shortcut to do all this and find the answer more quickly:
a^2 = c^2 - b^2 or b^2 = c^2 - a^2
also:
a = sqr(c^2 - b^2)
x = Sqr(15.6^2 - 5.8^2)
= 14.5 in
Related Questions
Kim and her mom have some items to donate to families in need for Christmas baskets. They have 100 rolls and 25 pumpkin pies. They want every basket to be exactly the same, and they don't want any leftover food. What is the largest number of baskets that they can make?
Answers
Answer:
There will be 25 baskets each container 4 rolls and 1 pumpkin
Step-by-step explanation:
Rolls = 100
Pumpkins = 25
To make every basket to be exactly the same number of rolls and pumpkins,
Find the highest common factor of 100 and 25
100 = 1, 2, 4, 5, 10, 25, 50, 100
25 = 1, 5, 25
The highest common factor of 100 and 25 is 25
Rolls = 100
= 100/25
= 4
Pumpkins = 25
= 25/25
= 1
Therefore,
There will be 25 baskets each container 4 rolls and 1 pumpkin
HELP PLEASE! 20 POINTS AND WILL MARK BRAINLIEST.
Suppose you want to find the 40th term of a sequence. Would you rather use a recursive rule or an explicit rule? Explain your reasoning.
Answers
Answer:
I'd rather use an explicit rule for bigger values of n
Step-by-step explanation:
Suppose we have a sequence like:
6,14,22,30,..
And we wanted to calculate the 200th term. The recursive rule is:
[tex]a_n=a_{n-1}+8[/tex]
Since each term is 8 more than the previous term. If we wanted to caclulate the term n=200, we would need to go up to 200 one-by-one until reaching the desired value.
The explicit rule is:
[tex]a_n=6+8(n-1)[/tex]
To find the term for n=200, just substitute into the rule:
[tex]a_{200}=6+8(200-1)=1598[/tex]
Thus, I'd rather use an explicit rule for bigger values of n
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS
Answers
Answer:
( 1, -2)
step-by-step explanation:
original coordinates of C: (4, -2)if reflected over y-axis: use the formula: (x,y) → (-x,y)
new coordinates: (-4, -2)then if translated 5 units horizontally, there will be change in x axis:
new coordinates: (-4+5, -2) → ( 1, -2)Pls help me I don’t which on it is
Answers
Which answer is the best estimate of the correlation coefficient for the variables in the scatter plot?
Answers
BRAINLIEST!!
please help!! i need this question/problem answered with a COMPLETE solution!!
giving brainliest to who answered completely!!
Answers
perpendicular bisector: OP
drew it in the picture
Explanation:
perpendicular lines are lines that intersect at a right (90 degrees) angle.
so I drew the line segment AB with CD intersecting at point X at 4 cm from point A, OP intersecting at point Z at 5 cm, and LM intersecting at point Y at 7 cm.
perpendicular bisector is a line or a segment perpendicular to a segment that passes through the midpoint of the segment.
the midpoint of line AB is at 5 cm because the total length is 10 cm (it’s just the middle)
OP is the perpendicular bisector because it’s at the midpoint 5 cm
7. Find the value of x. Round to the nearest tenth of a unit. (2 points)
27°
work:
21
х
X =
Answers
Answer:
41.2
Step-by-step explanation:
By the alternate interior angles theorem, the angle of depression is congruent to the angle of elevation.
This means that tan(27)=21/x.
x(tan 27)=21
x=21/(tan 27), which is about 41.2
Someone help, 3x-5+23x-9
Answers
Answer:
26x - 14
Step-by-step explanation:
3x - 5 + 23x - 9
26x - 5 - 9
26x - 14
Answer:
26x - 14
Step-by-step explanation:
3x - 5 + 23x -9
3x +23x - 9 - 5
26x - 14
A woman wishes to enclose a rectangular garden with fencing, using the side of her garage as one side of the rectangle. A neighbor gave her 27 feet of fencing, and she wants the length of the garden along the garage to be 6 feet more than the width. What are the dimensions of the garden?
Answers
Answer:
Width = 3.75 feet
Length = 9.75 feet
Step-by-step explanation:
Given:
Length of fencing = 27 feet
Find:
Dimensions of the garden
Computation:
Assume
Width = x
So,
Length = x + 6
2(L+B) = Perimeter
2(x + x + 6) = 27
2(2x + 6) = 27
4x + 12 = 27
4x = 15
x = 3.75
Width = 3.75 feet
Length = 3.75 + 6 = 9.75 feet
x = -4
I need to find the slope,x-intercept, and y-intercept?
Answers
Answer:
no y intercept
x=-4 is the x intercept
slope is undefined
Step-by-step explanation:
for the intercepts: x=-4. will be clear through a graph
NO Y INTERCEPTS since x=-4 is a vertical line.
slope: the slope is undefined.
What is the midpoint m given q(-2, -4) and R(6, 10)
Answers
Answer:
(2,3)
Step-by-step explanation:
Answer:
(2, 3)
Step-by-step explanation:
The formula for midpoint is: M = [tex]\frac{(x_{1}+x_{2} )}{2} , \frac{(y_{1} + y_{2}) }{2}[/tex]
Measure the distance between the two end points, and divide the result by 2. This distance from either end is the midpoint of that line. Alternatively, add the two x coordinates of the endpoints and divide by 2. Do the same for the y coordinates.
Write a comparison for 2/8 and 3/10
Answers
Answer:
3/10 is 1/20 greater than 2/8.
Step-by-step explanation:
3/10 - 2/8
= 12/40 - 10/40
= 2/40
= 1/20
D is the centriod. What is the value of X
Answers
Answer: 4
Step-by-step explanation:
PLEASE HELP
Study the diagram of circle K, where JL and LM are tangent to circle K at points J and M, respectively. Also, JL=3x+10 and ML=7x−6.
What is the length of LM?
17.6
16
4
22
Answers
Answer:
LM = 22
Step-by-step explanation:
Tangents to a circle from an external point to the circle are congruent , that is
ML = JL , substitute values
7x - 6 = 3x + 10 ( subtract 3x from both sides )
4x - 6 = 10 ( add 6 to both sides )
4x = 16 ( divide both sides by 4 )
x = 4
Then
LM = 7x - 6 = 7(4) - 6 = 28 - 6 = 22
The area of a rectangular door is given by the trinomial x2 – 14x + 45. The door's width is
(x - 9). What is the door's length?
Answers
Explanation:
Area
=
Width × Length
⇒
x
2
−
14
x
+
45
=
(
x
−
9
)
× Length
⇒
Length =
x
2
−
14
x
+
45
(
x
−
9
)
⇒
Length =
(
x
−
5
)
(
x
−
9
)
(
x
−
9
)
⇒
Length =
(
x
−
5
)
(
x
−
9
)
(
x
−
9
)
⇒
Length =
(
x
−
5
)
у is directly proportional to the square route of x
If y = 32 when x = 64 find,
x when y = 48
Answers
Sorry if it’s wrong
14 Compare 3(2 + x) to the equivalent expression in 13. What property did you apply
15 Simplify the expression from problem 14.
16 ls 3(2+x) equivalent to your simplified expression? Explain.
Answers
Answer:
14.) DC
community property
15.) 13+x
community property
12.) 6x-12
distributive property
Hope it helps!!!Brainliest pls!!!A gorilla has a mass of 156 kilograms. Choose all of the customary measures that are less than 156 kilograms.
400 Ib
350 Ib
300 Ib
250 Ib
200 Ib
Answers
Answer:
300lb, 250lb, 200lb
Step-by-step explanation:
156kg=343.9lb
70% of the shoes in the UK are made abroad. if you survey 120 people about the shoes they are wearing, how many do we expect to have UK-made shoes?
Answers
Answer:
84
Step-by-step explanation:
70% of 120= 84
solve by substitution
y=-2x + 3
y=2x-1
Answers
Answer:
Answer is in the picture bro.
Step-by-step explanation:
Which sentence is an example of indirect characterization?
like her mother, she was both practical and brave
"We’re all strong and hard workers with a lot of stamina,"
Lily worked day and night doing laundry
So the family began preparing for the journey
Answers
Answer:
C. Lily worked day and night doing laundry
Step-by-step explanation:
Edge 2022
Answer:
c
Step-by-step explanation:
HALP ME PLS
Simplify the expression.
5n - 3(4n + 1) =
Answers
Answer:
-7n - 3
Step-by-step explanation:
5n-3(4n+1) =
5n -12n -3= 0
-7n - 3
Answer: -7n-3
Step-by-step explanation: first bring the 5n down then multiply -3x4n gives you -12 and multiply 5x1 that gives you 5 so you would write (5n−12n)−3
then remove the parentheses combine like terms like 5 and 12 are alike because of the n's that means subtract because of the - sign 5-12 which gives you -7 and then you bring down -3 because it's outside the parentheses and that's the answer.
Help please! Thank you!
Answers
Answer:
The answer would be x = 20. First, you must set up a proportion, since you know that the two polygons are similar: 12/48 • 5/x. Then, you have to do cross multiplication which would result in 12x = 240. Afterwards, you must divide both sides by 12, giving you x = 20.
Manolo says that the solution of the equation g squared equals 36 is g = 6 because 6*6 = 36. Is Manolos reasoning complete? Explain.
Answers
Answer: No. Manolo forgot to include that the opposite of squaring a number is square rooting. If you take the square root of 36, you get 6. When you square a number, you multiply it by itself, which is what Manolo did. He multiplied 6 by itself and got the answer of 36.
Step-by-step explanation: Hope this helps!
The Manolos reasoning is not complete because the quadratic equation has two roots and the roots are 6 and -6.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
It is given that:
A quadratic equation:
g² = 36
Manolo says that the solution of the equation g squared equals 36 is g = 6 because 6×6 = 36
As we know, the quadratic equation has two roots.
To solve the quadratic equation we can use the identity:
a² - b² = (a + b)(a - b)
g² = 36
g² - 36 = 0
g² - 6² = 0
(g + 6)(g - 6) = 0
g + 6 = 0 ⇒ g = -6
g - 6 = 0 ⇒ g = 6
Thus, the Manolos reasoning is not complete because the quadratic equation has two roots and the roots are 6 and -6.
Learn more about quadratic equations here:
brainly.com/question/2263981
#SPJ5
PLEASE HELP ANYONE!?
Answers
Answer:
Step-by-step explanation:
this is hard that I will say
PLS HELP ME
Aisha divides 1/5 meter of ribbon into 2 equal pieces.
What is the length of each piece of ribbon?
Enter your answer as a fraction in simplest form by filling in the boxes.
⊆⊇ m
⊂⊃
Answers
Step-by-step explanation:
[tex] \frac{ \frac{1}{5} }{2} = \frac{ \frac{1}{5} }{ \frac{2}{1} } [/tex]
Multiply means by means and extremes by extremes to get;
[tex] \frac{1}{10} \: \: \: meters[/tex]
Let's divide
1/5÷21/5×1/21/5(2)1/100.1mExpand and simplify 3(q + 5) - 2(2-4)
a 2
Answers
Answer:
hope it helps
good afternoon
help would be greatly appreciated:)
Answers
Answer:
I have no idea
Step-by-step explanation:
Defining terms
Y is any y value on the the line
X is any x value in the line
M is the slope
B is the y intercept (0,b)
The problem is essentially asking you to find the value for b
To do this, we sub in the values we know
So, put the slope value in the formula
Y=(-1/4)x+b
From there, you can substitute the coordinate values provided and solve for b
-5=(-1/4)(-5)+b
-5=(5/4)+b
-6.25=b
So now we can rewrite the whole equation as
Y=(-1/4)x-6.25
Hope that helped!
Q1. Find the square root of the following by division method
i ) 9801
Answers
I'm not sure if this is how you want it to be done.
Nc
In 5-7, use the table at the right. The table shows the lengths
to the nearest fourth inch of fish that scientists studied.
5. Make a line plot to show the data.
DATA
Fish Lengths
9. in. 9 in. 11 in. 9 in. 8 in. 10 in.
8. in. 9 in. 10. in. 8 in.
102 in. 8 in. 9 in. llin.
10 in. 8 in. 102 in. Olin
10in. 9 in.
Answers
Based on the information in the table given, the line plot to show the data is given in the attached picture.
What is a line plot?This is a kind of graph that shows data on a number line. The data that is to be represented will be put as points above the numbers on the number line.
Numbers with more variables will have multiple points placed above them to show that they have more frequency.
Find out more on line plots at https://brainly.com/question/15207273.