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2 years ago

What happens to the value?

Mathematics

1 answer:

Fiesta28 [93]2 years ago

4 0

Answer:

D.) c is multiplied by 4

Step-by-step explanation:

$c = \dfrac{8a^3}{b}$

If a is doubled, it becomes 2a. If b is doubled, it becomes 2b. Now we replace a with 2a and b with 2b and simplify.

$c = \dfrac{8(2a)^3}{2b}$

$c = \dfrac{8 \times 8a^3}{2b}$

$c = \dfrac{4 \times 8a^3}{b}$

$c = 4 \times \dfrac{8a^3}{b}$

Answer: D.) c is multiplied by 4

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2 years ago

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Edward is driving a car on the highway. He drives for 28.5 miles in 3/8 of an hour. At this rate, how much distance can he cover

Rom4ik [11]

The distance covered in one hour is 76 miles.

Step-by-step explanation:

Edward drives a car for 28.5 miles.

Therefore, the distance he travels by the car = 28.5 miles.

The time it takes to drive 28.5 miles is 3/8 of an hour.

The formula to find the rate :

Rate = Distance traveled / Time taken in hours.

Here, the distance is 28.5 miles and time is 3/8 hour.

Rate = $28.5/ (3/8)$

To find the distance covered in 1 hour :

Let us assume, 'x' be the distance covered in one hour.

Rate = $x/1$

Now, comparing the rates to find the x value :

⇒ $28.5 / (3/8) = x /1$

⇒ $x = 28.5 \times 8/3$

⇒ $x = 228/3$

⇒ $x = 76$

Therefore, the distance covered in one hour is 76 miles.

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3 years ago

I need help proving this ASAP

Ket [755]

Answer:

See explanation

Step-by-step explanation:

We want to show that:

$\tan(x + \frac{3\pi}{2} ) = - \cot \: x$

One way is to use the basic double angle formula:

$\frac{ \sin(x + \frac{3\pi}{2} ) }{\cos(x + \frac{3\pi}{2} )} = \frac{ \sin(x) \cos( \frac{3\pi}{2} ) + \cos(x) \sin( \frac{3\pi}{2}) }{\cos(x) \cos( \frac{3\pi}{2} ) - \sin(x) \sin( \frac{3\pi}{2}) }$

$\frac{ \sin(x + \frac{3\pi}{2} ) }{\cos(x + \frac{3\pi}{2} )} = \frac{ \sin(x) ( 0) + \cos(x) ( - 1) }{\cos(x) (0) - \sin(x) ( - 1) }$

We simplify further to get:

$\frac{ \sin(x + \frac{3\pi}{2} ) }{\cos(x + \frac{3\pi}{2} )} = \frac{ 0 - \cos(x) }{0 + \sin(x) }$

We simplify again to get;

$\frac{ \sin(x + \frac{3\pi}{2} ) }{\cos(x + \frac{3\pi}{2} )} = \frac{- \cos(x) }{ \sin(x) }$

This finally gives:

$\frac{ \sin(x + \frac{3\pi}{2} ) }{\cos(x + \frac{3\pi}{2} )} = - \cot(x)$

6 0

3 years ago