A flagpole has a height of 47 yards. It will be supported by three​ cables, each of which is attached to the flagpole at a point 2 yards below the top of the pole and attached to the ground at a point that is 24 yards from the base of the pole. Find the total number of yards of cable that will be required.

Answers

Answer 1

Answer:

153 yards..

Step-by-step explanation:

umm due to the pythagorean theorem it would be 45^2+24^2=c^2

= 2025+576=c^2

= 2601=c^2

= square root of 2601 is 51

since there are 3 cables it would be 51*3=153


Related Questions

The scatterplot shows the number of bedrooms in a house and the selling price for that house.



Calculate the residual for the house with 6 bedrooms, to the nearest thousand.

The residual for the house with 6 bedrooms is ___
-30k
-26k
26k
30k

Answers

Answer:

-26k, -26,000 ; (B)

ED2021

The residual for the house with 6 bedrooms is -26k.

What is Scatterplots?

Scatterplots are the plotting of set of points on a vertical axis and an horizontal axis. The shows the correlation extent between the numbers of the observed quantities.

Given is a scatterplot showing the selling price of houses with the number of bedrooms.

Equation of the line of best fit is given as,

y = 6.3x + 4.8

Residual = Actual value - Predicted value

From the scatterplot,

Actual selling price of house with 6 bedrooms = 40 × 10,000 = 400,000

Predicted selling price for 6 bedrooms = (6.3 × 6) + 4.8

                                                                 = 42.6 × 10,000

                                                                 = 426,000

Residual = 400,000 - 426,000

              = -26,000

Hence the residual is -26k.

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please show me step by step​

Answers

Answer:

Step-by-step explanation:

Picture

Which of the fractions below are less than 2/5? Select two.

Answers

Answer:

1/8 is less than

Step-by-step explanation:

i dont see any fractions below gona have to edit your answer

Determine whether the statement below makes sense or does not make sense. Explain clearly. Based on our​ sample, the​ 95% confidence interval for the mean amount of television watched by adults in a nation is 1.9 to 3.5 hours per day.​ Therefore, there is​ 95% chance that the mean for all adults in the nation will fall somewhere in this range and a​ 5% chance that it will not.
A. The statement makes sense. There is​ 95% probability that the confidence interval limits actually contain the true value of the population​ mean, so the probability it does not fall in this range is ​100%−​95% =​5%.
B. The statement makes sense. There is​ 5% probability that the confidence interval limits do not contain the true value of the sample​ mean, so the probability it does not contain the true value of the population mean is also​ 5%.
C.The statement does not make sense. The probability the population mean is greater than the upper limit is​ 5% and the probability it is less than the lower limit is​ 5%, so the probability it does not is ​5%+​5%=​10%.
D. The statement does not make sense. The population mean is a fixed constant that either falls within the confidence interval or it does not. There is no probability associated with this.

Answers

The correct option is A because

The statement makes sense. There is​ 95% probability that the confidence interval limits actually contain the true value of the population​ mean, so the probability it does not fall in this range is ​100%−​95% =​5%.

From the question we are told that:

Confidence interval [tex]CI=95\%[/tex]

Mean [tex]\=x =1.9-3.5hours[/tex]

Level of significance (of the alternative hypothesis)

[tex]\alpha=100-95[/tex]

[tex]\alpha=5\%[/tex]

[tex]\alpha=0.05[/tex]

Generally

There is​ 95% probability that the confidence interval limits actually contain the true value of the population​ mean.

In conclusion

The  it does not fall in this range is Level of significance (of the alternative hypothesis)

​100%−​95% =​5%.

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Is this the correct answer?

Answers

Answer:

25.40

Step-by-step explanation:

tickets  ( 2 at 10.95 each) = 2* 10.95 = 21.90

popcorn ( 1 at 7.50)         = 7.50

Total cost before discount

21.90+7.50=29.40

subtract the discount

29.40-4.00 =25.40

Answer:

Yep! That's correct!

Step-by-step explanation:

We know that Marilyn and her sister are each getting a ticket that cost $10.95. They are also getting a $7.50 popcorn to share. Let's add those values up.

(10.95 * 2) + 7.50 {Multiply 10.95 by 2 to get 21.90.}

21.90 + 7.50 {Add 7.50 to 21.90 to get 29.40}

$29.40 (without the credit) in toal

A credit on a movie reward card functions as a discount, so what we need to do next is subtract 4 from 29.40. That will get us $25.40 as the total cost.

After doing the math, I can deduce that your answer is correct!

75,000 live bacteria are present in a culture in a flask. When an antibiotic is
added to the culture, the number of live bacteria is reduced as shown by the
equation. Approximately how many hours have passed when there are 4500
bacteria left alive?
4500 = 75,000 e-0.1733t

Answers

Answer:

16.23 hours

Step-by-step explanation:

To obtain the number of hours that have passed ; we have to solve for t on the equation ;

4500 = 75,000 e^-0.1733t

Divide both sides by 75000

4500/75000 = e^-0.1733t

0.06 = e^-0.1733t

Take the In of both sides ;

In(0.06) = - 0.1733t

-2.813410 = - 0.1733t

Divide both sides by - 0.1733

t = 16.23 hours

A park is 5 miles east of Roxana's home. A library is 4 miles north of the park. How far is Roxana's home from the library? ​

Answers

Answer: 9 miles I think but I dont know where her house is exactly.

?
6.2
Divided by 1/2

Answers

Answer:

The answer is 3.1

[tex]6.2 \div \frac{1}{2} = 3.1[/tex]

If we were to convert it into a **FRACTION** the answer would be : 31/10.

And that i an improper fraction, but as a **MIXED NUMBER** : [tex]3 \frac{1}{10}[/tex]

All answers would be : 3.1 , 31/10 and 3 1/10

Answer:

0.5167

Step-by-step explanation:

6.2/12 first rewrite 6.2 as an improper fraction or 36/5 then multiply by 1/12 to get the solution of 0.5167.

WILL GIVE BRAINLIEST ASAP

Answers

Answer:

Step-by-step explanation:

Twice a number increased by the product of the number and fourteen results in forty eight

Answers

Answer:

Let x = the number. Then you have:

2x + 14x = 48 Collect like terms

16x = 48 Divide both sides by 16

x = 3

PLEASE MARK AS BRAINLIEST ANSWER

The number that satisfies the given statement is 3.

We are given that twice a number increased by the product of the number and 14 results in 48.

We will find the value of the number that we used in the given above statement.

Understand the meaning of the keywords used in the statement.

Increased means addition.

Product means multiplication.

Results mean equal to sign.

Let's write the given statement in equation form.

Consider P = the number

Twice a number = 2P

Increased =  +

Products of the number and 14 =  P x 14

Results in 48 = equals 48.

Combining all the above we get,

2P + P x 14 = 48

2P + 14P = 48

16P = 48

P = 48 / 16

P = 3

Thus the number that satisfies the given statement is 3.

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in each figure below find m<1 and m < 2 if a||b

please help i don't have a lot of time I will give brainliest if you help

Answers

Answer:

m∠1 = 105°

m∠2 = 75°

Step-by-step explanation:

From the picture attached,

Two lines 'a' and 'b' are parallel and a transversal 't' is intersecting these lines at two distinct lines.

Therefore, m∠2 = 75° [Corresponding angles measure the same]

m∠1 + m∠2 = 180° [Linear pair of angles are supplementary]

m∠1 + 75° = 180°

m∠1 = 105°

What is the value of z for the equation fraction 1 over 3z = −fraction 5 over 6 + fraction 1 over 6z?

5
2
−2
−5

Answers

9514 1404 393

Answer:

  -1/5

Step-by-step explanation:

  [tex]\dfrac{1}{3z}=-\dfrac{5}{6}+\dfrac{1}{6z}\qquad\text{given}\\\\2=-5z+1\qquad\text{multiply by $6z$}\\\\1=-5z\qquad\text{subtract 1}\\\\\boxed{-\dfrac{1}{5}=z}\qquad\text{divide by $-5$}[/tex]

14/50 as as a percent?

Answers

The answer is 28%
.
.
.
.
........……………

Answer:

The answer would be 28%!

Step-by-step explanation:

14/50 is 0.28. To change a decimal to a percentage, we multiply it by 100 which we can do by moving the decimal two numbers to the right.

Jill records the temperature outside every hour for 4 hours. She finds that the temperature dropped by the same amount each hour. After 4 hours, she finds that the temperature dropped a total of 20∘F. She writes this number sentence.
(−20)÷4=−5
What does the number sentence mean?
The total drop in temperature, −20∘F, divided by 4 hours equals −5∘F per hour. The temperature dropped 5∘F each hour.

The total number of drops, 20, divided by 4 hours equals 5 times per hour. The temperature dropped 5 times per hour.

The total number of hours, 20, divided by 4∘F equals 5 hours. The temperature dropped once every 5 hours.

The total drop in temperature, −20∘F, divided by 4∘F in the first hour, equals −5 drops. The temperature dropped 5 times.

Answers

Answer:

It is the first one, The total drop in temperature, −20∘F, divided by 4 hours equals −5∘F per hour. The temperature dropped 5∘F each hour.

Step-by-step explanation:

which of the following is the correct graph of the solution to the inequality -18 > 5x + 2 > -48?

Answers

Answer:

good luck

.............

Answer: the third one. filled circle for 4 ,5,6,7,8,9, open circle 10

Step-by-step explanation:

Identify the decimals labeled with the letters A B and a C

Answers

Answer:

A=3.1

B=4.2

C=2.7

Step-by-step explanation:

(100 points) Select the correct answer.

Danny's 7 friends contributed an equal amount of money to buy him a birthday present. The present cost $84. How much money did each friend contribute?

A. 12

B. 36

C. 48

D. 84

Answers

7 friend -> 84 dollars
1 friend -> ?

84/7 = answer

Answer = 12

A) 12
Cost of present=84Total friends=7

Contribution per head

84/712

Option A

Answer the question given above

Answers

Answer:

See explanation

Step-by-step explanation:

This is how you are suppoussed to solve it:

Measure each and every side of the rectangle with a ruler and add it. This would be your perimeter

This cannot be solved unless the page is infront of us.

What is the value of n to the nearest whole number?
O 10
o 13
18
o
21

Answers

Answer:

n is 13

Step-by-step explanation:

[tex] {n}^{2} = {12}^{2} + {6}^{2} - (2 \times 12 \times 6) \cos(90 \degree) \\ {n}^{2} = 180 \\ n = 13.4[/tex]

Answer:

n is 13

Step-by-step explanation:

A ball thrown upwards hits a roof and returns back to the ground.

The upward movement is modeled by a function [tex]s=-t^2+3t+4[/tex]
s= −(t^2)+3t+4
and the downward movement is modeled by [tex]s=-t^2+3t+4[/tex]
s= −2(t^2)+t+7, where s is the distance (in metres) from the ground and t is the time in seconds.

Find the height of the roof from the ground.

Answers

Answer: 6 m

A ball thrown upwards from the altitude 4 m,

hits a roof and returns back to the ground.

upward movement:  s= −t²+3t+4

downward movement: s=-2t²+t+7

Step-by-step explanation:

Let's calculate the intersection:

[tex]- t^2+3t+4 =-2t^2+t+7\\\\t^2+2t-3=0\\\\t^2+3t-t-3=0\\\\t(t+3)-(t+3)=0\\\\(t+3)(t-1)=0\\\\t=-3 \ (exclude)\ or\ t=1\\\\if\ t=1 \ then\ s=-1^2+3*1+4=6\\\\height\ is\ 6\ m.\\[/tex]

Sorry, i have forgotten the picture.

Below is the graph of a polynomial function with real coefficients

(a) The function f is increasing over which intervals? Choose all that apply.
D(-0, -8)
O (-5,-2) O (-8, -2) O (-2,
2) (2,5)
O (5, 0 )
?
(b) The functionfhas local maxima at which x-values? If there is more than one value,
separate them with commas.
(c) What is the sign of the leading coefficient of f?
Select One
(d) Which of the following is a possibility for the degree of f? Choose all that apply.
4
5
6

Please help if you can thank you

Answers

9514 1404 393

Answer:

  (a) (-∞, -8), (-5, -2), (2, 5)

  (b) -8, -2, 5

  (c) negative

  (d) 6

Step-by-step explanation:

(a) The function is increasing on intervals where the graph slopes upward left-to-right. Those are (-∞, -8), (-5, -2), and (2, 5).

__

(b) The local maxima are at the right end of each interval on which the function is increasing: -8, -2, 5.

__

(c) The function opens downward (∩), so has a negative leading coefficient.

__

(d) There are three local maxima and two local minima (left end of an increasing interval), so a total o 5 turning points. The degree of the polynomial is at least one more than this: 6.

4. The rectangle shown below has been broken into four smaller rectangles. The area of three of the smaller
rectangles are shown in the diagram. Find the area of the fourth rectangle and justify your answer. [Think about
shared dimensions.]

Answers

Answer:

Step-by-step explanation:

Need the diagram for reference in order to answer...........

A chocolate chip cookie manufacturing company recorded the number of chocolate chips in a sample of 60 cookies. The mean is 22.36 and the standard deviation is2.97 . Construct a ​80% confidence interval estimate of the standard deviation of the numbers of chocolate chips in all such cookies.

Answers

Answer:

2.665 < σ < 3.379

Step-by-step explanation:

Given :

s = 2.97

Sample size, n = 60

α = 80%

χ² Critical value (two - tailed), df = (60-1) = 59

χ² = 45.577 ; χ² = 73.279

The 80% confidence interval for the standard deviation :

s * √(n - 1) / χ² critical

2.97 * √(60 - 1) / 73.279 < σ < 2.97 * √(60 - 1) / 45.577

2.665 < σ < 3.379

Rosa brought d drawings to an art show. After selling 15 of them, she had 38
left. Identify the equation that represents this situation and the correct
solution

Answers

Answer:

38= d - 15

Step-by-step explanation:

Help pleaseeeeeeeeeeeeeeeee

Answers

Answer:

D(- 1) = 2

Step-by-step explanation:

To evaluate D(- 1), substitute x = - 1 into D(x) , that is

D(- 1) = (- 1)² - 2(- 1) - 1 = 1 + 2 - 1 = 2

Find a pair of polar coordinates for the point with rectangular coordinates (5, –5).

Answers

Answer:

(5*sqrt(2), 5pi/4)

Step-by-step explanation:

In Polar coordinates, tan(theta)=y/x and r=sqrt(x^2+y^2)

tan(theta)=-5/5=-1. Theta=5pi/4

r=sqrt(5^2+5^2)=5*sqrt(2)

Hence the Polar coordinate is (5*sqrt(2), 5pi/4)

The polar coordinate is [tex](5\sqrt{2},\frac{-\pi }{4} )[/tex].

What is polar coordinate system?

The polar coordinate system is a two-dimensional coordinate system in which each point on a plane is determined by a distance from a reference point and an angle from a reference direction.

How to convert rectangular coordinates to polar coordinates?

To convert rectangular coordinate (x, y) to polar coordinate(r, θ) by using some formula

tanθ = y/x and [tex]r =\sqrt{x^{2} +y^{2} }[/tex]

According to the given question

We have

A rectangular coordinate (5, -5).

⇒ x = 5 and y = -5

Therefore,

[tex]r=\sqrt{(5)^{2} +(-5)^{2} } =\sqrt{25+25} =\sqrt{50} =5\sqrt{2}[/tex]

and

tanθ = [tex]\frac{-5}{5} =-1[/tex]

⇒ θ = [tex]tan^{-1} (-1)[/tex] = [tex]-\frac{\pi }{4}[/tex]

Therefore, the polar coordinate is [tex](5\sqrt{2},\frac{-\pi }{4} )[/tex].

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Find the equation of the line using the point-slope formula. Write the final equation using the slope-intercept form.
perpendicular to
7y = x − 4
and passes through the point
(−2, 1)

Answers

Answer:

[tex]y = -7x -13[/tex]

Step-by-step explanation:

Given

Perpendicular to

[tex]7y = x -4[/tex]

Passes through

[tex](-2,1)[/tex]

Required

The equation

First, we calculate the slope of:

[tex]7y = x -4[/tex]

Divide through by 7

[tex]y = \frac{1}{7}x - \frac{4}{7}[/tex]

A linear function is:

[tex]y=mx + c[/tex]

Where;

[tex]m \to slope[/tex]

So:

[tex]m = \frac{1}{7}[/tex]

For the perpendicular line; the slope is:

[tex]m_2 = -\frac{1}{m}[/tex]

So, we have:

[tex]m_2 = -\frac{1}{1/7}[/tex]

[tex]m_2 = -7[/tex]

The equation is:

[tex]y = m(x - x_1) + y_1[/tex]

So, we have:

[tex]y = -7(x - -2) + 1[/tex]

[tex]y = -7(x +2) + 1[/tex]

Open bracket

[tex]y = -7x -14 + 1[/tex]

[tex]y = -7x -13[/tex]

Which is a factor of: 2x^2 - 4x – 6?


I don’t understand how u get it in this form of an answer

Answers

Answer:

A

Step-by-step explanation:

2x^2-6x+2x-6=2x(x-3)+2(x-3)=(2x+2)(x-3).

Please i need to find the era bounded by the following curves

Answers

Answer:

10 2/3 or 32/ 3

Step-by-step explanation:

5 - x^2 - (2 - 2x) =

= -x^2 + 2x + 3

Integral of (-x^2 + 2x + 3)dx from -1 to 3 =

= -x^3/3 + 2x^2/2 + 3x from -1 to 3

= -x^3/3 + x^2 + 3x from -1 to 3

= -27/3 + 9 + 9 - (1/3 + 1 - 3)

= -9 + 9 + 9 - 1/3 - 1 + 3

= 11 - 1/3

= 10 2/3 = 32/3

Answer:

32/3

Step-by-step explanation:

Check the pdf :)

14
11. The number of kilograms of corn needed
to feed 5000 chickens is 30 less than twice
the number of kilograms needed to feed
2800 chickens. How many kilograms of
corn are needed to feed 2800 chickens?
(A) 70
(B) 110
(C) 140
(D) 190
(E) 250

Answers

Answer:

x = 2515

Step-by-step explanation:

5000 = 2x - 30

2800 = x

have a great day! I hope this helps!

140 kilograms of corn is needed to feed 2800 chickens.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the number of kilograms of corn needed to feed 5000 chickens is 30 less than twice the number of kilograms needed to feed 2800 chickens.

Assume that [x] kilograms of corn is needed to feed 2800 chickens.

for 2800 chickens [x] Kg of corn is needed

for 1 chicken[x/2800] Kg of corn is needed.

So, we can write -

5000 × [x/2800] = 2x - 30

50x/28 = 2x - 30

50x = 28(2x - 30)

50x = 56x - 28 x 30

50x - 56x = - 840

- 6x = - 840

6x = 840

x = 140

Therefore, 140 kilograms of corn is needed to feed 2800 chickens.

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