A telephone pole is 24 feet tall. A support cable is attached to the top of the pole to keep the pole from leaning. The stake for the cable is set in the ground 18 feet away from the base of the pole, as shown. How long is the support cable?

Answers

Answer 1

Answer:

30

Step-by-step explanation:

Answer 2

Answer:

30

Step-by-step explanation:


Related Questions

y = (x - 4)(x-8)
Distribution

Answers

Answer:

[tex]y= x^{2} -12x+32[/tex]

Explanation:

[tex]y=x^{2} -8x-4x+32\\y= x^{2} -12x+32[/tex]

The problem involves a conversion from feet to miles. How many feet are in one mile? Use the Internet or another resource if you need help.

Answers

Answer:

5280

Step-by-step explanation:

I'm American and our system sucks but 1 mile is equal to 5280 feet

May I have brainliest please? :)

Answer:

I'm American and our system sucks but 1 mile is equal to 5280 feet

Help will give a crown!!

Answers

Answer:

okay

Step-by-step explanation:

1) Each side length is 12

2) Each side length is 2

3 and 11
Find the midpoint

Answers

Answer:

7

Step-by-step explanation:

Write the equation of the line, in point slope form that goes through the given point with the given slope. through: (-2,5), slope = -4* O y + 2 = 5(x + 4) O y - 2 = 5(x-4) O y + 5 = -4(x +2) O y- 5 = -4(x + 2)​

Answers

Answer:

y-5 = -4(x + 2)

Step-by-step explanation:

The point slope form is;

y-y1 = m(x-x1)

where m represents the slope

(x1, y1) represents the given point

Thus;

y-5 = -4(x + 2)

Point M is the midpoint of A and B
What are the coordinates of point B?​

Answers

Answer:

(6, 7) is where B is.

Step-by-step explanation:

If you go down 1/2 and right 5, you get to M. If you go another 1/2 down and right 5, you will get to B.

This is because M is the midpoint, or center point, of line AB. That means there is equal distance going from A to M and equal distance going from B to M.

#teamtrees #WAP (Water And Plant)

How do I solve 4x+23>-21

Answers

Answer:

Inequality Form:

x>-11

Step-by-step explanation:

Interval Notation:

(-11,\infty )

Answer:

Step-by-step explanation:

4x + 23 > -21

4x > -21 -23  (moving 23 to the right side of equation changes the +23 to  -23

4x > -44  (adding -21 to -23)

x > -11  (dividing both sides of equation by 4, this keeps the equation the same

Solution:  x > -11  (x is greater than negative 11)

0.2x + 1 = 1.6x + 3.1
What value of x satisfies the equation above?

Answers

Answer:

x = -1.5

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

0.2x + 1 = 1.6x + 3.1

Step 2: Solve for x

Subtract 0.2x on both sides:          1 = 1.4x + 3.1Subtract 3.1 on both sides:             -2.1 = 1.4xDivide both sides by 1.4:                 -1.5 = xRewrite:                                            x = -1.5

Step 3: Check

Plug in x to verify it's a solution.

Substitution:                    0.2(-1.5) + 1 = 1.6(-1.5) + 3.1Multiply:                           -0.3 + 1 = -2.4 + 3.1Add:                                 0.7 = 0.7
Your answer is -1.5

What is the nth term rule of the quadratic sequence below?
-5, -3,3, 13, 27, 45, 67, ...

Answers

Answer:

the pattern is +2, +6, +10, +14, +18 etc

so its in increment of 4

the rest is trivial

Step-by-step explanation:

Answer:

[tex]u_{n} = 2n^{2} -4n-3[/tex]

Step-by-step explanation:

a +b + c = - 5    First term in sequence

3a + b = 2   Difference between first two terms

2a = 4         Difference between  the difference of the first two terms and the second third terms (the difference between -5 and -3 is 2 the difference between -3 and 3 is 6; the difference between 6 and two is 4)

2a = 4 so a = 2; 3(2) + b = 2 → 6 + b = 2 so  b = -4; 2 - 4 + c = -5  → -2 + c = -5 so c = -3

What is the image of (2,3)(2,3) after a reflection over the line y=-xy=−x?

Answers

Answer:

After the reflection over the line  y = -x, the image of the point is: (-3,-2)

Step-by-step explanation:

When a given point is reflected over a line the point only changes place but the distance between the point and the line remains same.

Let (x,y) be a point on the plane

and

y = -x be a line on the plane

When a point is reflected over a line y = -x , the coordinates of the point are exchanged which means x becomes y and y becomes x and both are negated

So (x,y) will become (-y,-x)

Given point is:

(2,3)

After the reflection over the line  y = -x, the image of the point is: (-3,-2)

You are tasked with buying pizza for a party that has 100 guests. 40 guests are children, and 60 guests are adults. Half of the children want pizza, and two thirds of the adults want pizza. Children will eat one slice of pizza, and adults will eat two slices of pizza. A pizza pie can be cut into 8 slices and costs $9 dollars per pie.

Answers

Total slices required for children,

[tex]C = \dfrac{40}{2}\times 1\\\\C = 20\ slices[/tex] .

Total slices required for adults,

[tex]A=\dfrac{2}{3}\times 60\times 2\\\\A = 80\ slices[/tex]

So, total slices required are, 20 + 80 = 100 .

Number of pizza, n = 100/8 = 12.5

So, he has to order 13 pizza cause pizza cannot be purchased in fraction.

Total price, P = 13 × 9 = $117 .

Hence, this is the required solution.

where is plymoth rock

Answers

Answer:

If u mean plymouth rock then the answer is

Lost at sea, they happened upon a piece of land that would become known as Cape Cod. After surveying the land, they set up camp not too far from Plymouth Rock. ... The 102 travellers aboard the Mayflower landed upon the shores of Plymouth in 1620. This rock still sits on those shores to commemorate the historic event.

Step-by-step explanation:

. Determine if the lines are parallel, perpendicular, or neither to the given line 24x + 12 y = 24
a. y = 3x – 5 b. y =5-x/3

Answers

Answer:

a -  neither b - perpendicular

Step-by-step explanation:

put them in desmos and look at the lines

Please help me answer 16 please

Answers

Answer:

SSS

Step-by-step explanation:

I can identify that these triangles are congruent by using the SSS (Side, Side, Side) postulate theorem. I know this because first, second, and home triangle share the same side as the third, second, and home triangle, meaning they are congruent, so are the other sides of the angle since the question states they are congruent.

An antelope can run 152.5 miles in 2.5 hours. The average speed of the antelope 62 mi/hr

True
False

Answers

Answer:

Step-by-step explanation:

152.2 miles /2.5 hours= 60.88 mph so false.

check by 62 mph * 2.5 hours = 155 miles or more then what the antelope actually ran.

evaluate (73)^2 using the identity (a+b)^2=a2+2ab+b^2

Answers

73^2 = 5329

There's no identity that can be used.

PLS GIVE BRAINLIEST

Help me please. I’m trying very hard.

Answers

Answer:

27/3

Step-by-step explanation:

50-(18+5)= 27

27/3

Use long division to find the quotient below.
(15x2 + 2x2 - 75) - (3x-5)
O A. 5x2 - 9x + 15
B. 5x2 + 9x + 15
C. 5x2 + 12x + 15
D. 5x2 - 12x + 15

Answers

A. Is your answer. Hope this helps!
The answer is A have a good day!

[tex]-0.2\sqrt{x^2}[/tex] You have to simplify this

Answers

Answer:

The simplified answer to that is -0.2x.

Hope this helps and if you could mark this as brainliest. Thanks!

Answer:

-0.2x

Step-by-step explanation:

If x is negative then,

-0.2(-2) = 0.4

Find the possible values of x. The perimeter is less than 28 feet. The sides of the triangle are labeled 7 feet, 7 feet, and x. The possible values of x are

Answers

7 + 7 + x < 28
14 + x < 28
x < 14
The value of x is anything less than 14

The possible values of x are positive integers that are less than 14

The perimeter of a figure is the sum of all its sides.

A triangle has 3 sides. The length of the 2 sides are given. The third side is x . Therefore,

perimeter  = 7 + 7 + x

perimeter < 28 feet

Therefore,

7 + 7 + x < 28

14 + x < 28

subtract 14 from both sides

14 - 14 + x < 28 - 14

x < 14

Therefore, the possible value of x are positive integers that are less than 14.

read more: https://brainly.com/question/11473110?referrer=searchResults

What is the solution set for |x/2|=8?

Answers

Answer:

D) x=16 and x=-16

Step-by-step explanation:

D) x=16 and x=-16

If you replace x with either one of them and then take the absolute value, you would have 8.

a rental car company charges a customer $60 plus $0.32 per mile. write the equation that best describes the relationship between the cost, y, of renting the car and the number of miles, x, the car was driven​

Answers

Answer:

0.32x + 60= y

Step-by-step explanation:

Will mark brainliest! Please help I have no idea!

Answers

Answer:

the decimals should line up.

Answer:

press the right arrow 3 times

Step-by-step explanation:

to properly subtract any numbers the value of the digits need to be in line

I need helppppppppp!!!!

Answers

I drew on the coordinates to help you visualize! :) When moving to the left the Y value stays the same however, the X would decrease by 5.

what is halfway between 5.3 and 5.4

Answers

Answer:

5.35

Step-by-step explanation:

5.31 5.32 5.33 5.34 5.35

The answer will be 5.35

If a pair of shoes was 25% off and the original price was $80 how much is the amount of the discount?

Answers

The amount of the discount would be 20 Dollars

VERY URGENT WILL GIVE YOU 100 POINTS

Answers

    Answer:

11x5x+75x+88x+9yx+8y+1212x+3y10a+7b+419a+11a+16b+104a+17b+1112a+2b+244a+3b+12⋅(4x+3)11x+204x+2711x+8y5x+3y+187x+15y+307⋅(x+y)10y+5x+332x+7y+379x+7y+92⋅(3x+4)8x+13

Answer:

1. 11x

2.5x + 7

3. 5x +8

4. 8x + 9y

5. X + 8y +12

6. 12x + 3y

7. 10a + 7b + 4

8. 19a + 11

9. a + 16b + 10

10. 13a + 9b * 11

11. 12a + 2b + 24

12. 4a + 3b + 1

13. 8x + 6

14. 4x + 27

15. 11x + 20

16. 11x + 8y

17. 5x + 3y + 18

18. 7x + 15y + 30

19. 7x + 7y

20. 5x + 10y + 33

21. 2x + 7y + 37

22. 9x + 7y + 9

23. 6x + 8

24. 8x + 13

What will the first step look like in a substitution problem?

y=2x
x+y=9​

Answers

Answer:

x + 2x = 9

General Formulas and Concepts:

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Since we are using substitution, we must replace one variable in 1 equation as the 2nd equation.

We are given:

y = 2x

x + y = 9

Here we see that y equals 2x. We can go ahead and replace in the 2nd equation y.

x + 2x = 9

And we would solve from there.

What is the solution of the proportion 3/5=13/x ? Round to the nearest tenth if necessary.

Answers

Answer:  x = 21 2/3

Step-by-step explanation:

3/5 = 13/x

cross multiply  5 × 13,  then divide  by 3.  

65/3 = 21 2/3

It's like multiplying both sides by the reciprocal of the left side.

4x +5y =24
2x+7y=21​

Answers

Use elimination
Multiply second equation by 2
4x + 14y = 42
4x + 5y = 24
Now subtract both
9y = 18
Y = 2
Plug 2 into equation to solve for x
4x + 5(2) = 24
4x = 14
x = 3.5, y = 2

Answer:

x = 3.5, y = 2

Step-by-step explanation:

This is a system of equations.

Original equations:

[tex]4x+5y=24\\3x+7y=21[/tex]

Substitute y and solve for x:

[tex]y=\frac{24-4x}{5} \\2x+7y=21[/tex]

Substitute the value for y and simplify:

[tex]2x+\frac{7(24-4x)}{5} =21[/tex]

[tex]2x + \frac{(168 - 28x)}{5}=21[/tex]

Multiply by 5 on both sides

[tex]10x + 168-28x = 105[/tex]

Simplify [tex]-18x = -63[/tex]

[tex]x = 3.5[/tex]

Plug in the value for x into either equation:

→ [tex]4*3.5 + 5y=24[/tex]

→ [tex]14+5y=24[/tex]

→ [tex]5y=10[/tex]

→ [tex]y=2[/tex]

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