Look at the picture of a scaffold used to support construction workers. The height of the scaffold can be changed by adjusting two slanting rods, one of which, labeled PR, is shown:

A support structure is shown in which a right triangle PQR is formed with the right angle at Q. The length of PQ is shown as 14 feet, and the length of QR is shown as 9 feet..

Part A: What is the approximate length of rod PR? Round your answer to the nearest hundredth. Explain how you found your answer stating the theorem you used. Show all your work. (5 points)

Part B: The length of rod PR is adjusted to 18 feet. If width PQ remains the same, what is the approximate new height QR of the scaffold? Round your answer to the nearest hundredth. Show all your work. (5 points)

Answers

Answer 1

Answer:

Triangle PQR is a right triangle therefore you can use the pythagorean theorem to find the length of PR which is the same as the hypothenuse

Step-by-step explanation:

Theorem:

(QP)² + (QR)² = (PR)²

(6)² + (14)² = 232 ⇒  (PR)² = 232  then PR = √232 = 15.23

If PR is adjusted to 16 feet then we use the Pythagorean theorem again to find the height QR

(QR)² + (14)² = (16)²

(QR)² = 256 - 196 = 60 ⇒ QR = √60 = 7.75.


Related Questions

Kelsey graphed the equation y = 3x + 1 as shown below.

Answers

I think it’s B but I’m not for sure
D

Explanation: So basically I think that Kelsey graphed the slope as the y intercept so it would be the last one! I’m sorry if it’s wrong!

Help? Write the equation of a line in STANDARD form with a slope of 2 passing through the point (1,4)

A. x + y = -2
B. x - y = -2
C. 2x + y = 2
D. 2x - y = -2

Answers

Answer:

[tex]2x+y=2[/tex]

Step-by-step explanation:

Use the formula  

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

In order to solve for  b . Then, plug in known values.

[tex]y=2x+2[/tex]

Re-order.

[tex]2x+y=2[/tex]

Hope this helps :)

Hope it is useful !!

Solve for x.​ [REMAKE]
x = ?

8 = 2x + 4
1/1 Hint(s) : To solve for a variable, use inverse operations to undo the operations in the equation. Be sure to do the same operation to both sides of the equation.

This is just remake because the first one was a mistake sorry for the first one :(

Answers

Answer:

x = 2

Step-by-step explanation:

X=2
!!!!!!!!!!!!!!!!!!!!!

Please help!! Will give Brainliest if correct.

Answers

Answer:

1

Step-by-step explanation:

nxp= -5 x -2  (negative times a negative is positive)                                                     -5 x -2= 10                                                                                                                     m/10=10/10 = 1

PLS ANSWER BOTH I WILL GIVE BRIAN LEST

Answers

Answer:

i think 1 is 300 and 2 is -50

Step-by-step explanation:

sorry if im wrong

Answer:

1. There is no change in the number of state representatives for fourth state after the last census.

2.  We have been given a table that shows the record low temperatures for several states. We are asked to graph the temperatures on a number line.

First of all we will draw a number line going to infinity into both directions.  

To graph the given temperatures on number line let us arrange temperatures in less negative order.  

-34, -32, -30, -29, -27.  

Since we know that numbers with large negative values lie on the left at number line. Let us graph our large negative temperature on the left at our number line.      

We can see that -34 is the most negative temperature, therefore, it will be on the left most side of our number line.  

-27 is greatest of our given negative temperatures. -27 is less negative temperature than our other given low temperatures, therefore, it will lie on the right most side of our number line.  

Other temperatures will lie between these two values according to their temperatures.    

-32 is second large negative temperature after -34, therefore, it will lie on the right side of -34.

-30 will lie on the right side of -32 and -29 will lie on the right of -32.

Step-by-step explanation:

A restaurant has a sign by the front door that says, "Maximum occupancy: 75 people." Answer each question and explain or show your reasoning.

What percentage of its capacity is 9 people?
What percentage of its capacity is 51 people?
What percentage of its capacity is 84 people?

Answers

Step-by-step explanation:

9/75 * 100% =

51/75 * 100% =

84 /75 * 100% =

The percentage of its capacity is 9 people, 51 people, and 84 will be 12%, 68%, and 112%, respectively.

What is the percentage?

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

A restaurant's front entrance is marked with the words "Maximum occupancy: 75 persons."

The percentage of its capacity is 9 people is given as,

P = (9/75) x 100

P = 12%

The number of people is less than the maximum capacity.

The percentage of its capacity is 51 people is given as,

P = (51/75) x 100

P = 68%

The number of people is less than the maximum capacity.

The percentage of its capacity is 84 people is given as,

P = (84/75) x 100

P = 112%

The number of people is more than the maximum capacity.

More about the percentage link is given below.

https://brainly.com/question/8011401

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Show work pleaasseeee
1/15 + (-3/5) =

Answers

Answer:

-8/15

Step-by-step explanation:

(1/15)-(3/3)*(3/5)= (1/15)-(9/15)=(1-9)/15=-8/15

What is the approximate radius of a sphere with a volume of 1436 cm^3?

Answers

Answer: 7 cm

Step-by-step explanation:

The approximate radius of a sphere with a volume of 1436 cm³ will be 7 cm.

What is the volume of the sphere?

Let r be the radius of the sphere.

Then the volume of the sphere will be

V = 4/3 πr³ cubic units

The volume of the sphere will be 1463 cm³.

Then the radius will be

    1436 = 4/3 πr³

    1077 = πr³

342.82 = r³

          r = 6.998

          r ≈ 7 cm

More about the volume of the sphere link is given below.

https://brainly.com/question/9994313

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Can Someone help me?

Answers

first question
1:C 2:D 3:B 4:D

second question
0-2+5

Answer:

Step-by-step explanation:

The match the correct letters are

1. C -6+6 is 0

2. D-9+9 is 0

3. B 5 times 2 is 10 and 10-10 is zero

4.A 4 times 4 is 8 and 8-8 is 0 also.

and the equation is 0-2=5

Need helpp fastt plss will give brainliest to who is correct plss helpp
PLSSS HELPP I NEED THE ANSWER CORRECT

Answers

36 in sq, because a rectangle has even sides on both so it’s 12 + 12 + 6 + 6

Answer:

84 square cm.

Step-by-step explanation:

The area of the rectangle: 12*6=72

The area of one right triangle: 1/2(2*6)=6

Since we have two right triangles, their area combined: 6*2=12

Add 72+12= 84 square cm.

Hope this helped.

I NEED HELP NOW!!!!!!

Answers

Answer:

Water as a Compound and Molecule

Step-by-step explanation:

Water is a compound. You can also say it’s an element, but elements consists of only one atom in scientific definitions. Hope this helped. Also I would say that Kaliko is right :D

Find the percent of increase:
Year 2005 2010
Population 3.2

(millions) 5.6

Answers

Answer:

the answer is x4sqaured=2

mark me brainliest

Step-by-step explanation:

increased by 2 million

The school orchestra has 25 woodwinds, 15 percussionists, 10 strings and 50 brass instruments.

Select the portion of the instruments that are percussion. Select all that apply.
(0.15) (15%) (3/20) (1.5) i need this asap

Answers

Answer:

0.15, 15%, 3/20

Step-by-step explanation:

Which situation describes a car that can travel $40 miles per gallon of gasoline?


A . A car can travel $2 miles on $80 gallons of gasoline.


B. A car can travel $42 miles on $2 gallons of gasoline.


C. A car can travel $80 miles on $2 gallons of gasoline.


D. A car can travel $80 miles on $40 gallons of gasoline.

Answers

Answer:

A car can travel 80 miles on 2 gallons of gasoline.

Step-by-step explanation:

please help your sis out!!!!!!!!!!
The total cost for renting a car, t, driven m miles is modeled by the equation t = 0.05m + 60. What is the cost after driving 10 miles?

Answers

You would input 10 as m into the equation
t= 0.05(10) +60
t=0.5+60
t=60.5
60.5!!!!!!!!!!!!!!!!!!

help please dk much.

Answers

Answer:

Yes, she'll have a cup left over

Step-by-step explanation:

there is 2 cups in a pint so lets first convert the 5 pints that she has into cups.

She has 10 cups.

6 x 1.5 = 9

She need 9 cups for 6 cakes so she'll have a cup of extra milk.

what the other person put correct

{(3, 5), (3, 7), (6, 7), (4, 1), (8, 1)}
Determine the domain and the range of the relation. *Type the domain and range in number form from least to greatest

Answers

i’m not so sure i’m sorry

PLS HELPPPP TY!!!!! pls no stupid answers...

Answers

Answer:

g) 8.50 per pound

Step-by-step explanation:

22.10/2.6

Answer:

8.50 pounds per salmon (G), -64

Step-by-step explanation:

(-4)(-4)(-4) = -64

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP PLEASEEEEEEEEEEEEEEEEEEEEEE

Tell which value of the variable is the solution of the equation.

Answers

1.61 I’m pretty sure
A= 1.61
A= 3.09- 4.7
= 1.61

All rational numbers can be written as a _______

Answers

Answer:

fraction dude

As you might remember, a rational number is any number that can be written as a fraction pq. Here the numerator and denominator are both integers, and q≠0.

Step-by-step explanation:

happy to help

Written as a fraction

Help, brainless to fastest answer!!

Answers

Answer:

5/12

Step-by-step explanation:

change 1 1/4 to improper fraction:

1 1/4=5/4

find common denominator: 12

5/4=15/12

5/6=10/12

subtract:

15/12-10/12=5/12

hopefully this helps :)

The answer is 5/12 this is correct

please help!! select all! will give brainliest!!!!!!!!!

Answers

Answer:

B and C

Step-by-step explanation:

-800 divided by 100= -8

Should be B and C. Sorry if i’m wrong

A keyboard that costs $400 is marked down 10% for a sale. What is the total savings? What is the new price of the keyboard?

Answers

Answer:

The total savings is $40 and the new price is $360

Step-by-step explanation:

Multiply 400 by .10 and you get the savings, $40.

Then subtract 400 by 40 and you get the new price.

Answer:

Step-by-step explanation:

400*0.10=40

400-40 because 40 is the savings and 400 is the total price

400-40= $360 is the new price

help me plz plz i NEED IT

Answers

Answer:

the answer is yes y= 53x

Step-by-step explanation:

"50 plus 3" 53

hope this helps

pls help 15 min left!!

Answers

Answer:

A

Step-by-step explanation:

I hope I am right.....

Answer: B

Step-by-step explanation:

Carlos took a test and made a 50. On the next test, he made 75. What is the percentage of change between the two test scores?

A. 150% increase
B. 150% decrease
C. 50% decrease
D. 50% increase

Answers

Answer:

D

because if you increase by 50%, you get half of 50, which is added on ecause its an increase, therefore you should be left with 75%

D. 50% increase! 50% of 75 is 25, and 25+50=75%

For each pair of points, find the slope of the line that passes through both points. If you get stuck, try plotting the points on graph paper and drawing the line through them with a ruler.

Answers

Answer: The answer is number choice 1.

Step-by-step explanation:

The slope of each pair of coordinates are as follows -

Pair 1 → (1, 1) and (7, 5) m[1] = 2/3

Pair 2 → (1, 1) and (5, 7) m[2] = 3/2

Pair 3 →  (2, 5) and (-1, 2) m[3] = 1

Pair 4 → (2, 5) and (-7, -4) m[4] = 1

What is Slope of a line?

Slope of a line is defined as the rate of change of dependent variable with respect to independent one.

Given are the four pairs of coordinates.

The formula to calculate the slope of a line using the coordinates is -

m = (y₂ - y₁) / (x₂ - x₁)

→ for (1, 1) and (7, 5), the slope will be -

m[1] = (5 - 1)/(7 - 1)

m[1] = 4/6

m[1] = 2/3

→ for (1, 1) and (5, 7), the slope will be -

m[2] = (7 - 1)/(5 - 1)

m[2] = 6/4

m[2] = 3/2

→ for (2, 5) and (-1, 2), the slope will be -

m[3] = (2 - 5)/(-1 - 2)

m[3] = -3/-3

m[3] = 1

→ for (2, 5) and (-7, -4), the slope will be -

m[4] = (- 4 - 5)/(-7 - 2)

m[4] = -9/-9

m[4] = 1

Therefore, we can write the slope of each pair of coordinates as -

Pair 1 → (1, 1) and (7, 5) m[1] = 2/3

Pair 2 → (1, 1) and (5, 7) m[2] = 3/2

Pair 3 →  (2, 5) and (-1, 2) m[3] = 1

Pair 4 → (2, 5) and (-7, -4) m[4] = 1

To solve more questions on Slope of line, visit the link below-

https://brainly.com/question/23087740

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PLEase help please please

Answers

Answer:

$12 per Pizza

Step-by-step explanation:

216 divided by 18=12

$12

$216/18 pizzas =$12/1 pizza

Need helpp fastt plss will give brainliest to who is correct plss helpp
PLSSS HELPP I NEED THE ANSWER CORRECT

Answers

Answer:

The answer is 14.

Step-by-step explanation:

6(2+5)/3 would be the equation

12+30/3

42/3

14

14 bc 5+2=7 7x6=42 42/3=14

A video game is on sale at Amazon for 35% off the original price of $28.50. Both Pat and Henri want to purchase the game, but they only have $21 each. They will have to pay 10% sales tax. Pat and Henri have different strategies to calculate the price and decide if they have enough money to get the game.

Pat takes 35% of $28.50 and subtracts that from the original price. She takes 10% of the sale price and adds it to the sale price to find the total amount she would have to pay.

Henri finds 65% of the original price and then calculates 110% of the sale price.



Will Pat's strategy calculate the correct total? Explain the calculations.

Will Henri's strategy calculate the correct total? Explain the calculations.

Do they each have enough to purchase the game?

Explain your answers using complete sentences and show your work.

Answers

Answer:

yes pat will, because he is taking 35% off of the original price to get the sales price. no henry wont, because the total is supposed to go down not up. no they will not be able to buy 1 for each of them because 1 game costs $18.70

Step-by-step explanation:

28.50/100=0.285

0.285=0.28

0.28*35=9.80

28.50-9.80=18.70

Pat will but Henry will not
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