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Alika [10]
3 years ago
14

the volume V of a gas at a constant temperature varies inversely with the pressure P. when the volume is 100 cubic inches the pr

essure is 25 pounds per square inch. what is the pressure when the volume is 125 cubic inches ​
Mathematics
1 answer:
fiasKO [112]3 years ago
8 0

Answer:

The pressure is 20\ psi

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form y*x=k or y=k/x

In this problem we have

V*P=k

where

V is the volume of a gas at a constant temperature

P is the pressure

we have

For V=100\ in^{3},P=25\ psi

step 1

Find the value of k

substitute the values of V and P

100*25=k

k=2,500

The equation is equal to  V*P=2,500

step 2

Find the pressure when the volume is 125 cubic inches

For V=125\ in^{3}

substitute in the equation and solve for P

125*P=2,500

P=2,500/125=20\ psi

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If the length of a rectangle is 3 and the width is 2, the length of the diagonal is a 13 b 5 c √5 d √13
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Answer:

The length of the rectangle is 12cm and the area of the rectangle is 60cm2.

Explanation:

By definition, the angles of a rectangle are right. Therefore, drawing a diagonal creates two congruent right triangles. The diagonal of the rectangle is the hypotenuse of the right triangle. The sides of the rectangle are the legs of the right triangle. We can use the Pythagorean Theorem to find the unknown side of the right triangle, which is also the unknown length of the rectangle.

Recall that the Pythagorean Theorem states that the sun of the squares of the legs of a right triangle is equal to the square of the hypotenuse. a2+b2=c2

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Since the length of the side is a measured distance, the negative root is not a reasonable result. So the length of the rectangle is 12 cm.

The area of a rectangle is given by multiplying the width by the length.

A=(5cm)(12cm)

A=60cm2

3 0
3 years ago
I need help thank you
Juliette [100K]

Answer:


Step-by-step explanation:

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(2,-8) (-2,-8)

What you find out is that the y value is always - 8.

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Step-by-step explanation:

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Hi There!

Answer:

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Step-by-step explanation:

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