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3 years ago

A car travels 106 miles on 4 gallons of gas. How far can it go on a full tank of 12 gallons?

2 answers:

8 0

318 because you figure out how far the car can go on 1 gal (26.5) and then multiply it by 12. (to figure out haw far it gets on one gal you have to divide 106 by 4)

tino4ka555 [31]3 years ago

7 0

106*3=318

106/4=x/12

the answer is 318

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Two sides of a triangle are 8 m and 9 m in length and the angle between them is increasing at a rate of 0.06 rad/s. Find the rat

Lelechka [254]

<h2>Rate at which area is increasing is 1.08 m²/s.</h2>

Step-by-step explanation:

Area of triangle is with side a and b and angle C between them is given by

A = 0.5 ab SinC

Here we need to find how area changes with a and b fixed and C is changing,

$\frac{dA}{dt}=\frac{d}{dt}\left (0.5 absinC\right )\\\\\frac{dA}{dt}=0.5ab\frac{d}{dt}\left (sinC\right )\\\\\frac{dA}{dt}=0.5abcosC\frac{dC}{dt}$

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a = 8 m

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Substituting

$\frac{dA}{dt}=0.5\times 8\times 9\times cos\left ( \frac{\pi}{3}\right )\times 0.06\\\\\frac{dA}{dt}=1.08m^2/s$

Rate at which area is increasing is 1.08 m²/s.

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3 years ago

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5.60 divided by 4 is 1.40$
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4 years ago

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What is the measure of n?

horsena [70]

The value of n is 32 if the total; base length is 12(8+4) and n is the length of the perpendicular.

<h3>What is a right-angle triangle?</h3>

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

We can use the altitude rule:

8/n = n/4

n² = 32

n = √32

Thus, the value of n is 32 if the total; base length is 12(8+4) and n is the length of the perpendicular.

Learn more about the right angle triangle here:

brainly.com/question/3770177

#SPJ1

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2 years ago