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QveST [7]
3 years ago
6

Part B: The length of rod PR is adjusted to 17 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)

Mathematics
2 answers:
Roman55 [17]3 years ago
7 0

Answer:

9.64ft

Step-by-step explanation:

Since the diagram tends to form...a right angled triangle....;

with PR = 17ft...,PQ = 14ft

then to calculate the length of QR

we use the pythagoras theorem...which is only applicable to right angled triangles

PR^2 = PQ^2 + QR^2

(17)^2 = (14)^2 + QR^2

where we make QR the subject of formula;

QR^2 = (17)^2 - (14)^2

QR = square root of( 289 - 196)

QR = square root of( 93)

;Therefore the length of QR = 9.64ft

Alenkinab [10]3 years ago
5 0

Answer:

9.64ft

Step-by-step explanation:

Since the diagram tends to form...a right angled triangle....;

with PR = 17ft...,PQ = 14ft

then to calculate the length of QR

we use the pythagoras theorem...which is only applicable to right angled triangles

PR^2 = PQ^2 + QR^2

(17)^2 = (14)^2 + QR^2

where we make QR the subject of formula;

QR^2 = (17)^2 - (14)^2

QR = square root of( 289 - 196)

QR = square root of( 93)

;Therefore the length of QR = 9.64ft

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Murrr4er [49]

The volume of cone B will be 6 cubic units.

<h3>What is the volume of the cone?</h3>

Let h be the height of the cone and A be the base area of the cone.

Then the volume of the cone will be

Volume = (1/3) × A × h

Consider cone A and cone B.

The bases of the cones are congruent.

The height of cone A is 4 times larger than the height of cone B.

\rm h_a = 4h_b

The volume of cone A is 24.

24 = (1/3) Ahₐ

Then the volume of the cone B will be

\rm V = (1/3)Ah_b

Simplify the expression, then the volume will be

V = 1/4 x (1/3)Ahₐ

V = 1/4 x 24

V = 6 cubic units

The volume of cone B will be 6 cubic units.

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

brainly.com/question/1984638

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4 0
1 year ago
Consider the quadratic equation below. 4x^2-5=3x+4 Determine the correct set-up for solving the equation using the quadratic for
lidiya [134]

4x^2-5=3x+4

4x^2 - 3x - 5 - 4 = 0

4x^2 - 3x -9 = 0

x= \dfrac{3 \pm \sqrt{3^2 - 4(4)(-9)}}{2(4)}

x = \frac 1 8 (3 \pm \sqrt{9(1 + 16)})

x = \frac 1 8 (3 \pm 3\sqrt{17})


7 0
3 years ago
Read 2 more answers
John playing with his friends a game where you need to get 20 points to win. In the start of the game John lose 10 points and th
zloy xaker [14]

Answer:

2

Step-by-step explanation:

0 - 10 = -10

-10 + 12 = 2

John has 2 points

3 0
3 years ago
An athletic director pays $90 for 12 sun visors for the softball team. how much will the athletic director pay to buy 15 more su
Dvinal [7]
90/12=7.5. 

so.....

7.5 times 15 is 21.

That added to the orginal amount equals to : 111.

How much the athletic director will pay to buy 15 more sun visors is $111.

Hoped I helped!<span>

</span>
3 0
3 years ago
Read 2 more answers
Need help ASAP! Thankyou
Paladinen [302]
Juanita did make an error, she should have combined -4 and -5 to make -9
6 0
3 years ago
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