You and a friend want to know how much rope you need to climb a large rock. Your friend is 5.5 feet tall and casts a shadow that is 18 feet long. If the rock casts a shadow that is 209.5 feet long, calculate the height of the rock from the ground. Round your answer to the nearest foot. (Hint: make a drawing) a. 64 ft b. 18 ft c. 210 ft d. 219 ft

Answers

Answer 1

Answer: The value of x from the equation is 64 ft. Thus, they will be needing approximately 64 ft of rope.

Step-by-step explanation: The concept that is useful in order to answer this item is the concept of ratio and proportion. Let x be the height of the rock from the ground. We use the equation below to answer.

                                   5.5 ft / 18 ft = x ft / 209.5 ft


Related Questions

Hikers spent the following amounts of time (in minutes) to complete a
nature hike: 48, 46, 52, 57, 58, 52, 61, 56.
Suppose another hiker takes 92 minutes to complete the hike.
How does the median and mean change when the new hiker is
factored in to the data?

Answers

Answer:

the mean is 53.75 and median is 54

Step-by-step explanation:

PLEASE HELP ME!!!!!.........

Answers

Answer:

C.

Step-by-step explanation:

Trust me.

Mona solved an equation incorrectly, as shown below:

Step 1: 5x = 30
Step 2: x = 30 − 5
Step 3: x = 25

Which statement best explains why Step 2 is incorrect in Mona's solution?

She did not add 5 to 30.
She did not divide 30 by 5.
She did not multiply 30 by 5.
She did not multiply 30 five times.

Answers

Answer:

She did not add 5 to 30. ... Mona subtracted 5 where she should have divided 5.

Step-by-step explanation:

Answer:

B. She did not divide 30 by 5

Step-by-step explanation:

This is the only way to cancel out the 5 and get the variable alone

Find the length of “c” to the nearest tenth using the Pythagorean Theorem.

NO BOTS

Answers

Answer:

10.6

Step-by-step explanation:

you do 7 squared + 8 squared to get 113. the square root of 113 rounded to the nearest tent is 10.6

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Gabrielle swam for 142 minutes during her first week of vacation. In her two weeks of vacation, she swam for a total of 347 minutes. How many more minutes did she swim for in the second week than in the first week?
Gabrielle swam for ????
more minutes in the second week than in the first week.

Answers

Answer:

she swam 63 minutes more than in the first

Step-by-step explanation:

first week only = 142 minutes

total week = 347

second week only = 347 - 142 = 205 minutes

205 - 142 = 63 minutes

The number of students that participated in sports last year was 100. This year there are 140 students participating in sports. What is the percent of increase in the number of students participating in sports from last year to this year? __________%

Answers

Answer: 40%

Step-by-step explanation:

HOPE THIS HELPS ^^

Which of the following would increase if the professional football players were removed from the data set?

Answers

Answer:

the standard deviation of the residuals

Step-by-step explanation:

The removal of the professional football players will cause the correlation, and consequently r2 to become closer to 0 due to the fact that the high school athletes tend to show no association between the number of energy drinks consumed and the number of pull ups that can be done. The slope of the regression line will also be nearly 0 without the professional football players. The standard deviation of the residuals, however, will increase without the presence of the professional football players because the remaining scatter about the new regression line will be greater due to the loss of the 4 professional football players which all had small residuals.

The option that will increase if the football players were removed from the data set is the standard deviation of the residuals

What is standard deviation?

It should be noted that standard deviation simply means the difference between the observed data and the predicted values.

In this case, the standard deviation of the residual will increase if the football players were removed from the data set as the removal of the professional football players will cause the correlation.

Learn more about standard deviation on:

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id- 5121786233 p/w- tepQ3w​

Answers

Answer:

ok

Step-by-step explanation:

40 POINTS !! 40 POINTS !!

PLEASE HELP , DONT SKIP !

NO LINKS OR FILES.

Answers

Answer:

Step-by-step explanation:

4 6/7

the answer is 4 6/7

if the measure of arc LK is 56 degrees and the measure of arc LM is 187 degrees, what is m JKM angle KL = 56 degrees

Answers

Answer:

JKM is 123 degrees and the measure of arc KL is 56

Which of the following is a radical equation?
O x+ √5 - 12.
O x2 = 16
O 3+x7 - 13
0 7 √x = 14

Answers

Answer:

7√x = 14

Step-by-step explanation:

A radical equation is an equation in which a variable is under a radical. Out of all the equations, the only answer with x under the radical (square root symbol) is 7√x = 14.

The equation which is a radical equation from the given answer choices is; 7 √x = 14.

What is a radical equation?

According to the task content;

It follows that we are required to determine the equation which is a radical equation.

On this note, the required equation is 7 √x = 14 because the variable is under a radical.

Read more on radical equation;

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The radius of a circle is 3 centimeters. What is the circle's area?

Answers

Answer:

If the circle's radius is 3, then its area is 28.27 cm.

Step-by-step explanation:

A circle's area is equal to (A = π r²).

Plug in the radius for R, and your equation should look like the following:

A = π3²

According to PEMDAS, you have to do the exponent first.

Do 3 squared, THEN multiply what you get by pi.

Then what you get should be your area.

Hope this helped !!

convert 49% into a equivalent decimal​

Answers

Answer:

0.49

Step-by-step explanation:

49 / 100 = 0.49

Answer:

49% = 49/100 out of 1, so it is .49.

The district manager of four different restaurants wanted to investigate whether the four restaurants differed with respect to customers ordering dessert or not based on family classification (with children or without children). Independent random samples of 100 customers who ordered dessert were selected from each restaurant, and the customers were identified as either being with children or without children. After verifying the conditions for the appropriate hypothesis test, the manager calculated a chi-square test statistic of 6.45 with an associated p-value of 0.092. Based on the p-value and a = 0.05, what conclusion should the manager make regarding the proportion of customers who order dessert at each restaurant and the customers' family classification?
A. There is convincing statistical evidence to suggest that the proportion of customers who order dessert at each restaurant is the same based on family classification.
B. There is convincing statistical evidence to suggest that the proportion of customers who order dessert at each restaurant is not the same based on family classification.
C. There is not convincing statistical evidence to prove that the proportion of customers who order dessert at each restaurant is not the same based on family classification.
D. There is not convincing statistical evidence to suggest that the proportion of customers who order dessert at each restaurant is the same based on family classification.
E. There is not convincing statistical evidence to suggest that the proportion of customers who order dessert at each restaurant is not the same based on family classification.

Answers

Answer:

E

Step-by-step explanation:

Y=-3x+5. Fill in the table using this function rule

Answers

X   Y

1    8

2   11

3   14

4   17

5   20

6   23

7   26

8   29

9   32

10  35

11   38

12  41

13  44

14  47

15  50

16  53

17  56

18  59

19  62

20  65

The quantity of a product demanded by consumers is a function of its price. The quantity of one product demanded may also depend on the price of other products. For example, if the only chocolate shop in town (a monopoly) sells milk and dark chocolates, the price it sets for each affects the demand of the other. The quantities demanded, q1​ and q2​, of two products depend on their prices, p1 and p2, as follows:

q1​=150−2p1​−p2
q2​=200−p1​−3p2​.​

If one manufacturer sells both products, how should the prices be set to generate the maximum possible revenue? What is that maximum possible revenue?

Answers

Answer:

Both prices should be set to #25.

The maximum revenue is #4375

Step-by-step explanation:

Given

[tex]q_1 = 150-2p_1-p_2[/tex]

[tex]q_2 = 200-p_1-3p_2[/tex]

Start by calculating the total revenue (R):

[tex]R = p_1q_1 + p_2q_2[/tex]

[tex]R = p_1(150-2p_1-p_2) + p_2(200-p_1-3p_2)[/tex]

[tex]R = 150p_1-2p_1^2-p_1p_2 + 200p_2-p_1p_2-3p_2^2[/tex]

Collect and solve like terms

[tex]R = 150p_1+ 200p_2-2p_1^2-2p_1p_2 -3p_2^2[/tex]

Differentiate with respect to pi and to p2, respectively

[tex]\frac{dR}{dp_1} = 150 -4p_1 - 2p_2[/tex]

[tex]\frac{dR}{dp_2} = 200 -2p_1 - 6p_2[/tex]

Equate both to 0, to get the critical point

[tex]150 -4p_1 - 2p_2 = 0[/tex]

[tex]200 -2p_1 - 6p_2 = 0[/tex]

Solve for p1 in [tex]150 -4p_1 - 2p_2 = 0[/tex]

[tex]4p_1 = 150 - 2p_2[/tex]

[tex]p_1 = 37.5 - 0.5p_2[/tex]

Substitute [tex]p_1 = 37.5 - 0.5p_2[/tex] in [tex]200 -2p_1 - 6p_2 = 0[/tex]

[tex]200 - 2(37.5 - 0.5p_2) - 6p_2 = 0[/tex]

[tex]200 - 75 - p_2 - 6p_2 = 0[/tex]

[tex]125 - 7p_2 = 0[/tex]

[tex]-7p_2 =-125[/tex]

[tex]p_2 = 25[/tex]

Substitute [tex]p_2 = 25[/tex] in [tex]p_1 = 37.5 - 0.5p_2[/tex]

[tex]p_1 = 37.5 - 0.5 * 25[/tex]

[tex]p_1 = 37.5 - 12.5[/tex]

[tex]p_1 = 25[/tex]

So, we have:

[tex]p_1 = p_2 = 25[/tex]

This implies that the prices should be set to #25.

The maximum possible revenue is:

[tex]R = 150p_1+ 200p_2-2p_1^2-2p_1p_2 -3p_2^2[/tex]

[tex]R = 150 * 25 + 200 * 25 -2 * 25^2 - 2 * 25 * 25 - 3 * 25^2[/tex]

[tex]R = 4375[/tex]

The maximum revenue is #4375

The maximum possible revenue is 4375.

How to calculate the revenue?

From the information given, the following can be deduced:

Q₁ = 150 - 2P₁ - P₂

Q₁ = 150 - 2P₁ - P₂Q₂ = 200 - P₁ - 3P₂

The total revenue will be:

R = P₁Q₁+ P₂Q₂

R = P₁(150 - 2P₁ - P₂) + P₂(200 - P₁ - 3P₂)

R = 150P₁ + 200P₂ - 2P₁² - 2P₁P₂ - 3P₂²

To maximize, differentiate it in both the direction of P₁ and P₂.

d/dP₁ = 150 - 4P₁ - 2P₂

d/dP₂ = 200 - 2P₁ - 6P₂.

Solving for P₁ goes thus:

4P₁ = 150 - 2P₂

Divide through by 4

P₁ = 37.5 - 0.5P₂

Since 200 - 2P₁ - 6P₂ = 0

200 - 2(37.5 - 0.5P₂) - 6P₂ = 0.

P₂ = 25

Therefore, the revenue will be:

= 150P₁ + 200P₂ - 2P₁² - 2P₁P₂ - 3P₂²

= (150 × 25) + (200 × 25) - (2 × 25 × 25) - (3 × 25²)

= 4375

In conclusion, the revenue is 4375.

Learn more about revenue on:

https://brainly.com/question/25623677

Is the following number rational, irrational, or nonreal.​

Answers

Answer:

rational i just know it hope it helps you

Answer:

Rational

∛-8

=-2

plz mark me as brainliest.

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Find the area of the following
triangle:
5 cm
10 cm
A= [?] cm2
Enter the exact answer as a decimal.

Answers

Answer:

25

Step-by-step explanation:

a=1/2bh

a=1/2(5)(10)

a=1/2(50)

a=25

Find the value of x. Round to the nearest degree.

Answers

Its not yet known. We need other numbers and letters!

Express the confidence interval 0.777

ộHE = +0

Answers

He’s right For the answer

The radius of a circle is 16 cm. Find its area in terms of \piπ

Answers

Answer256pi

Step-by-step explanation:

Area=pi*r^2

=pi*16^2

256pi

Ceasar opens a bank account and makes an initial deposit of $800. The banker tells Ceasar that he is going to receive an annual rate of 10% compounded continuously on his investment. Find the bank balance assuming Ceasar leaves the account untouched for 8 years. asnwer this question using the fomula A(t) = Pe^(rt). please show work plese

Answers

Answer:

Initial Deposit= $800

Annual rate= .1%

Leaves= 8 years

8 x .1= .8

$800 x .8= $640

$800+$640= $1,440

So your answer is $1,440 is the bank balance in 8 years

Step-by-step explanation:

hope i help have a great day

Which of the following would be the most appropriate unit to measure the volume of a bucket?

A. inch
B. cubic mile
C. cubic centimeter
D. cubic kilometer

Answers

Answer:

Volume uses cubic ___  

A mile or kilometer is to big

So an cubic centimeter is about right

C

i need help with this!

Answers

Answer:

the square root of 23 is 4.8 or if you need the longer one it's 4.79583152331

Answer:

z=529

Step-by-step explanation:

Let's solve your equation step-by-step.

√z=23

Solve Square Root.

√z=23

z=232(Square both sides)

z=529

Check answers. (Plug them in to make sure they work.)

z=529(Works in original equation)

11. Find mZB.
С
B
(4x + 11)
(6x – 15°
D
A

Answers

Answer: 117

Step-by-step explanation:

first i found x which is 13

4x+11=6x-15

   +15     +15

4x+26=6x

-4x       -4x

  2x=26

26÷2 2÷2

x=13

then i just put 13 nto the equation and got

m<B=117

if you know how to please mark brainlyest!

What is the value of the expression (25-7)x2 divided by 4+2

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{(25-7)(2)}{4}+2}[/tex]

[tex]\mathsf{25-7=\bf 18}[/tex]

[tex]\mathsf{\dfrac{\bold{18}(2)}{4}+2}[/tex]

[tex]\mathsf{18(2)= \bf 36}[/tex]

[tex]\mathsf{\dfrac{\bold{36}}{4}+2}[/tex]

[tex]\mathsf{\dfrac{36}{4}=\bf 9}[/tex]

[tex]\mathsf{\bold{9}+2 }[/tex]

[tex]\bold{= 11}[/tex]

[tex]\boxed{\large\textsf{Possible answer \#1: \bf 11 }}\huge\checkmark[/tex]

[tex]\huge\text{OR....}[/tex]

[tex]\mathsf{\dfrac{(25-7)(2)}{4+2}}[/tex]

[tex]\mathsf{25-7=\bf 18}[/tex]

[tex]\mathsf{\dfrac{\bold{18}(2)}{4+2}}[/tex]

[tex]\mathsf{18(2)=\bf 36}[/tex]

[tex]\mathsf{\dfrac{\bold{36}}{4+2}}[/tex]

[tex]\mathsf{4+2= \bf 6}[/tex]

[tex]\mathsf{\dfrac{36}{\bold{6}}}[/tex]

[tex]\mathsf{\bf = 6}[/tex]

[tex]\boxed{\large\textsf{Possible answer \# 2: \bf 6}}\huge\checkmark[/tex]

[tex]\boxed{\boxed{\large\text{{Answer(s): \bf Answer \#1: 11 OR Answer \#2: 6}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

What is the volume of a cylinder, in cubic cm, with a height of 8cm and a base
diameter of 18cm? Round to the nearest tenths place.

Answers

It’s is 20cm I think

Help w homework plsssss

Answers

Answer:

67

Step-by-step explanation:

complementary mean it equals 90 degrees

90-23 = 67

m<2=67

URGENT PLZ HELP!!!!!

Answers

Answer:

30% man this easy

Step-by-step explanation:

PLS GIMME BRAINLIEST PLS

Determine the missing side length

Answers

Hope this helps the answer is 97!

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