A flagpole has a height of 66 yards. It will be supported by three cables, each of which is attached to the flagpole at a point 6 yards below the top of the pole and attached to the ground at a point that is 32 yards from the base of the pole. Find the total number of yards of cable that will be required

Answers

Answer 1

Answer:

The value is [tex]Y = 204 \ yards[/tex]

Step-by-step explanation:

From the question we are told that

   The height of the flag pole is  [tex]h = 66 \ yards[/tex]

   The position of the cables on the pole with respect to its top is  [tex]x = 6 \ yards[/tex]

   The position of the cable from the base of the pole is  [tex]w = 32 \ yards[/tex]

    The number of cables is n =  3

Generally the length of one of the cable is obtained using Pythagoras theorem as follows

       [tex]u = \sqrt{ (h - x)^2 + w^2}[/tex]

=>    [tex]u = \sqrt{ (66 - 6)^2 + 32^2}[/tex]

=>    [tex]u = 68 \ yards[/tex]

Generally the total number of yards of cable that will be required is mathematically represented as

       [tex]Y = 3 * u[/tex]

=>     [tex]Y = 3 * 68[/tex]

=>     [tex]Y = 204 \ yards[/tex]


Related Questions

Please helppp.

Then for 13 it’s asking: is c a scaled copy of B?

And for 14 it’s asking: is c a scaled copy of r?

Please help meee it’s graded and due today I’ll give 30 points.

Answers

Answer:

Yes, C is a scaled copy of B.

Step-by-step explanation:

The scale factor of C from B is 1/9th.

C is also a scaled copy of R. The scale factor is 1/36th.

The scale factor of B to R is 1/4th.

I need help as fast as possible

Answers

Answer:

No, because the relation does not pass the vertical line test for every possible input

Step-by-step explanation:

A sugar mixture has 3 parts water and 2 parts sugar. Suppose the chef adds one more part to each. What is the new ratio of sugar to water?
2 parts sugar to 4 parts water
3 parts sugar to 4 parts water
3 parts sugar to 3 parts water
4 parts sugar to 3 parts water

Answers

Answer: 4 parts sugar to 3 parts water would be the answer

Step-by-step explanation:

3 + 1 =4 and 2+1=3

4 parts sugar to 3 parts water  is what i got correct on my test hope it helps

GOODLUCKKKKKK


Explain how to use multiplication to find the value of 1/3 divided by 9/5 Use the words
multiplication, divisor, quotient, and reciprocal in your explanation

Answers

Answer:

[tex] \frac{1}{3} \div \frac{9}{5} = \frac{5}{27} [/tex]

Step-by-step explanation:

[tex] \\ \frac{1}{3} \div \frac{9}{5} \\ \\ \frac{1}{3} \times \frac{5}{9} \\ \\ \frac{5}{27} \\ \\ to \: get \: the \: quotient \: of \: the \: division \\ between \: \frac{1}{3} \: and \: \frac{9}{5} \: \\ the \: reciprocal \: of \: the \: divisor \: \: \frac{9}{5}, \\ is \: taken \: as \: the \: division \: sign \: is \: turned \\ \: to \: a \: mutiplication \: sign.\\ [/tex]

Answer: 5/27

First, we have to get the quotient. So, we divide.

[tex]\frac{1}{3}[/tex] ÷ [tex]\frac{9}{5}[/tex]

The reciprocal of [tex]\frac{9}{5}[/tex] will be turned into a multiplication sign.

[tex]\frac{1}{3}[/tex] × [tex]\frac{9}{5}[/tex] = [tex]\frac{5}{27}[/tex]

This is your answer.

Write an equation of a line in slope-intercept form that is parallel to the graph of y = 2x + 5/4 and has a y-intercept of -1/2.
A. y=2x+5/4
B. y=1/2x-1/2
C. y=-1/2x-1/2
D. 2x-1/2

Answers

Answer: y = 2x - 1/2

Step-by-step explanation:

1. graph the first line

2. shift it down enough to get the correct y intercept

3. keep the slope the same

4. done

how many times do you have to regroup to subtract 847 -268

Answers

Answer:

You can regroup it 3 times and a remainder of 43. :) hope it helped!

Every month Neha takes a fixed amount of ₹3750 from her mother for her expenses. What is the amount she is spending in a year. What is the quality reflected here?

Answers

Answer:

Yearly expenses = ₹45,000

Step-by-step explanation:

Given:

Monthly expenses = ₹3,750

Find:

Yearly expenses

Computation:

Yearly expenses = 12 x ₹3,750

Yearly expenses = ₹45,000

Neha is unemployed and his expenses are totally fixed during the whole year.

42:11
What is the slope and the y-intercept of the line on the graph below?
-6-5-43
-2
3
4
-5
O slope = -4, y-intercept = 1
slope = -4, y-intercept
1
slope = -4 y-intercept = 1
Mark this and retum
Next
Submit

Answers

Answer:the answer should be B

Step-by-step explanation:

Can someone explain how to do this?

Answers

it has to be in y = mx + b form

then divide everything by what’s in the y

then simplify

if anything use cymath !!

What numbers belongs at the top? Really confused on how to solve this one

Answers

Answer:

What is it? Like what type of math?

Step-by-step explanation:

I'm confused cause it can't be geometry cause a square would not have squares within  it that are different area units????

Is it geometry or algebra ?? I’m confused here need more Pacific

The length of Carl's hair was 9 3/4 inches. After his hair cut, the length was 6 1/2 inches . How many inches did he cut?

Answers

Answer: 3 1/4 inches

Step-by-step explanation:

9 3/4 - 6 1/2

I turned 6 1/2 into an easier fraction so it can be easier to subtract. Now the expression is:

9 3/4 - 6 2/4

6 2/4 is equivalent to 6 1/2

I then got 3 1/4

Suppose the line segment with endpoints C(1,3) and
D(5,2) is reflected over the y-axis, and then reflected
again over y = x. What are the coordinates C" and D"?
what is it help???

Answers

Answer:

hsuwbdi idd

Step-by-step explanation:

bdjxisbwbcocjsbdjc9f8whebfocie

5 more than the product of 6 and a number 23. What is the number?

Answers

Answer:

x = 3

Step-by-step explanation:

Let x be the number

Write it out as an equation: 6x + 5 = 23Subtract 5 from each side, so it now looks like this: 6x = 18Divide each side by 6 to cancel out the 6 next to x. It should now look like this: x = 3

I hope this helps!

Which is the best estimate of 11/12 x 4/5

Answers

Answer:

44/60

Step-by-step explanation:

times the top by the bottom.

If y varies directly as x and y = 208 when x = 16, what is the value of y when x= 11? ​

Answers

Y = kx
208 = k16
208/16 = k
13 = k

Y = 13(11)
Y = 143

A bag contains 15 marbles. The probability of randomly selecting a green marble is One-third. The probability of randomly selecting a green marble, replacing it, and then randomly selecting a red marble is StartFraction 1 over 15 EndFraction. What is the probability of randomly selecting a red marble

Answers

Answer:

1/5

Step-by-step explanation:

Total Number of Marbles in the bag = 15

The probability of randomly selecting a green marble is 1/3

The probability of randomly selecting a green marble, replacing it, and then randomly selecting a red marble = 1/15

The probability of randomly selecting a green marble, replacing it, and then randomly selecting a red marble is calculated as

The probability of randomly selecting a green marble × The probability of randomly selecting a red marble

Hence:

1/15 = 1/3 × R

1/15 = R/3

Cross Multiply

R × 15 = 1 × 3

R= 3/15

R= 1/5

Hence, the probability of randomly selecting a red marble is 1/5

The maroon team and the orange team played a game of football. The maroon team scored 30 points and the orange team scored 9 points. What is the ratio of points scored by the maroon team to points scored by the orange team simply

Answers

Answer:30:9

Step-by-step explanation:

PLEASE HELP I WILL GIVE BRAINLIEST! if anybody can PLEASE make this circular flow model on paper and send me the picture but make it about AMAZON, that will be so appreciated!! thank you so much, it is due in an hour!

Answers

This it hope this helped :D

Lauren solved the equation - 3y - 18x = 12x - 21 for y and got y = 10x -
7 as the answer. Is this the correct answer?
O Yes
O No

Answers

Answer:

No, it's incorrect.

Step-by-step explanation:

The answer should be y = -10x + 7

how tall is the table

Answers

Answer:

I believe it's 105 cm.

PLEASE HELP :D 10pts


The sum of two consecutive integers is at most 223.
What is the larger of the two integers?

Answers

Answer:

Divide 223 by 2: 223/2 = 111.5

Then fix one number to 111.5 - 0.5 ann the other to 111.5 + 0.5

The two numbers are 111 and 112.

Then the answer is 112.  

Step-by-step explanation:

Ray AT bisects ZCAR, mZCAT = 5x and mZCAR = 9x + 7. What is mZ TAR?

Answers

what did you just say-

When graphed, the three lines y=-x + 2 y=2x-1, and y= x-2 intersect in such a way that they form a triangle.
What are the coordinates of the three vertices of this triangle?
.
-6
-5
3
1
2 3
4
5 6
7
3
4
-5
-6
OA (2.0), (0, 2), and (-1, -3)
ОВ. (0, 2), (2.0), and (1,-1)
2020 Edmentum. All rights reserved.

Answers

Answer:

the three vertices are (1, 1), (2, 0), (-1, -3).

The vertices of the triangles are the coordinates of the point of

intersection of the graph of the equation of the three lines.

Correct response:

The coordinates of the three vertices of the triangles are;

E. [tex]\underline{(2, 0), \ (1, -1), \ and \ (-1, -3)}[/tex]

How are the coordinates of the vertices obtained?

The equation of the given lines are;

y = -x + 2, y = 2·x - 1, y = x - 2

The point of the intersection of the two lines, gives the vertices, and are

the solution of the two linear equations of the lines.

At the points where the lines intersect, we have;

-x + 2 = 2·x - 1

Which gives;

3·x = 3

x = 1

y = -1 + 2 = -1

A vertex is at the point (1, -1)

The coordinate of the second vertex is given as follows;

2·x - 1 = x - 2

2·x - x = -2 + 1 = -1

x = -1

y = -1 - 2 = -3

The second vertex is; (-1, -3)

The coordinates of the third vertex is given as follows;

-x + 2 = x - 2

2·x = 4

x = 2

y = 2 - 2 = 0

Which gives the point; (2, 0)

The three vertices are; E. (2, 0), (1, -1), and (-1, -3)

Learn more about linear equations here:

https://brainly.com/question/1430935

A rectangular pool is 20 ft by 25 ft. The walk way around the pool is x ft. wide. What is the area of the walkway?

Answers

Answer:

the answer is 500x

Step-by-step explanation:

  hope it helps :)

Sally buys a hand bag. There was a discount
of 30%. If Sally paid $20, what was the original
price?

Answers

Answer: it is 29 dollars in total

Step-by-step explanation: hope its right, hope it helps, and ahve a good day!

Which of the following equations have no solution? Check all that apply.

Answers

1) 3) and 5)
Explaination
Open and check whether the term ‘x’ is getting canceled or not
If it is getting cancelled:no solution
If not:has a solution

10^2a=10^a-4
please help me solve this exponential problem

Answers

Answer: -4

Step-by-step explanation:

10^2a = 10^a-4

Ignore the base

2a = a - 4

2a - a = -4

a = -4

solve (2x+)x(6x^2-4x+3x^4)x(x-1)

Answers

Answer:

3x^6 -3x^5 +6x^4 -10x ^3 +4x ^2

Step-by-step explanation:

Remove the parentheses

Collect like terms

Reorder the terms

Hope this helped!

A truck can be rented from Company A for $130 a day plus $0.60 per mile. Company B charges ​$70 a day plus ​$0.90 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.

Answers

Answer:

200 miles

Step-by-step explanation:

Let's say that our variable is x, where x equals the amount of miles

Company A: a(x)=0.6x+130

Company B: b(x)=0.9x+70

For the first equation, you are charged 130 dollars, in addition to the 0.60 cents that you are charged per mile.

For the second equation, you are charged 70 dollars, in addition to the 0.90 cents that you are charged per mile.

You want to find how many miles it takes to make the two equations equal:

0.6x+130 = 0.9x+70 (Set them equal to each other because you are trying to find when the miles are equal and the cost is equal)

130=0.3x+70 (Subtract 0.6x from both sides)

60=0.3x (Subtract 70 from both sides)

x=200 (Divide both sides by 0.3 to find x)

Remember that x is the amount of miles, so, Company A and B would charge the same if you drove 200 miles.

Answer:I believe it’s 200 miles

Step-by-step explanation: let x represent the mileage you are trying to find and set the two equations equal to one another to find the mileage and which the rental cost would be the same.

130 + 0.60x = 70 + 0.90x

130-70 = 0.90x - 0.60x

60 = 0.30x

X= 60/0.03

X= 200 miles

Hernando ate StartFraction 2 Over 8 EndFraction of a pizza for a dinner. He gave his 6 friends the rest of the pizza and told them to share it equally. To determine the fraction of the whole pizza that each of his friends received, Hernando performed the calculations below. StartFraction 6 Over 8 EndFraction divided by 6 = StartFraction (6 divided by 6) Over 8 EndFraction = one-eighth He concluded that each person received One-eighth of the whole pizza. Are Hernando's calculations correct? Explain why or why not. Yes, they are correct. Hernando divided 6 by 6. Yes, they are correct. Hernando divided Two-eighths by 6. No, they are not correct. Hernando should have multiplied by 6, not divided by 6. No, they are not correct. Hernando should have divided 8 by 6, not 6 by 6.

Answers

Answer:

Step-by-step explanation:

Hernando = 2/8

His 6 friends = 6/8

Total pizza = 2/8 + 6/8

= 8/8

Hernando's calculation

6/8 ÷ 6

= (6÷6) / 8

= 1/8

Correct calculation

6/8 ÷ 6

= 6 / 8 × 1/6

= (6 × 1) / (8*6)

= 6/48

= 1/8.

Therefore, Yes, they are correct. Hernando divided 6 by 6.

Answer:

The correct answer is A

Step-by-step explanation:

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