7. Meghan said the opposite of the sum of -12 and 4 is 8. Do you agree? Why or why not?

Mathematics

1 answer:

muminat2 years ago

8 0

I agree, the sum of -12 and 4 is -8. so, the opposite of that would be positive 8.

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1. Find "V". Round to hundreds. V = LWH L= 29.4 W = 16.7 H = 21.8

postnew [5]

Volume = 10,700

V = LWH

L = 29.4

W = 16.7

H = 21.8

All we need to do is multiply them all together and then round the answer to get our final answer to the hundreds place.

V = LWH

V = 29.4(16.7)(21.8)

V = 490.98(21.8)

V = 10703.364

Then, we need to round it to the hundreds place.

V = 10,700

4 0

2 years ago

The wheels on Darlene's car have on 11-inch radius. If the wheels are rotating at a rate of 378 rpm, find the linear speed in mi

elena-s [515]

Answer:

The linear speed in which Darlene is traveling is 24.74 miles per hour.

Step-by-step explanation:

The wheel experiments rolling, which is a combination of translation and rotation. The point where linear speed happens is located at geometrical center of the wheel and instantaneous center of rotation is located at the point of contact between wheel and ground. The linear speed ( $v$ ), measured in inches per second, is defined by following expression:

$v = R\cdot \omega$ (1)

Where:

$R$ - Radius of the wheel, measured in inches.

$\omega$ - Angular speed, measured in radians per second.

If we know that $R = 11\,in$ and $\omega \approx 39.584\,\frac{rad}{s}$ , then the linear speed, measured in miles per hour, in which Darlene is traveling is: