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Anvisha [2.4K]
3 years ago
12

In the figure below, what is the length of PS in terms of x please help

Mathematics
2 answers:
3241004551 [841]3 years ago
8 0

Answer:

B) x+22

Step-by-step explanation:

PS= PQ+QR+RS

PS= 2x+4+8+10-x

PS= x+22

Hope this helps you.

lilavasa [31]3 years ago
8 0

Answer:

<h2>B)x+22</h2>

Step-by-step explanation:

<h3>to understand the solving steps</h3><h3>you need to know about:</h3>
  • algebra
  • segment
  • line
  • PEMDAS
<h3>given:</h3>

PQ=2x+4

QR=8

RS=10-x

<h3>let's solve:</h3>

to find PS

we need to add PQ,QR,RS

According to the question

PQ+QR+RS

2x+4+8+10-x

2x-x+4+8+10

2x-x+12+10 (combine the like terms)

x+22 (collect the like terms)

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Answer:

It will take the boulder approximately 4.28 seconds to hit the road

Step-by-step explanation:

The given height of the cliff from which the boulder falls, h = 90 feet

The equation that can be used to find the time it takes the boulder to fall is h = u·t + (1/2)·g·t²

Where;

h = The height of the cliff = 90 ft.

u = The initial velocity of the boulder = 0 m/s (The boulder is assumed to be at rest when it falls)

g - The acceleration due to gravity ≈ 9.81 m/s²

t = How long it will take for the boulder to hit the road below

Plugging in the values gives;

90 = 0 × t + (1/2)×9.81×t² = 4.905·t²

∴ t = √(90/4.905) ≈ 4.28

The time it takes the boulder to hit the road, t ≈ 4.28 seconds.

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Making 40*y=2400
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