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3 years ago

What is the surface area of a box if it is scaled up by a factor of 10

1 answer:

4 0

Answer: 100 x the original surface area of the box.
Discussion: Note that a box implies three dimensions. However, when dealing with surface area, we are dealing only with two dimensions. Therefore, scaling up a box where we have sides a, b, and c, by a factor of 10, we increase each side by a factor of 10. The scaled up box now has each of those dimensions as 10a, 10b, and 10c. Whereas the VOLUME is increased from (a x b x c) to (10a x 10b x 10c), the SURFACE AREA is increased from 2(a x b) + 2(a x c) + 2(b x c) to 2(10a x 10b) + 2(10a x 10c) + 2(10b x 10c). The SURFACE AREA is therefore kept in only square units, while VOLUME is in cubed units.

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A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function

Nitella [24]

Step-by-step explanation:

We have,

A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function :

$h=-16t^2 + 36t + 10$ ......(1)

Part (a) :

The maximum height reached by the ball is given by :

$\dfrac{dh}{dt}=0\\\\\dfrac{d(-16t^2 + 36t + 10)}{dt}=0\\\\-32t+36=0\\\\t=\dfrac{36}{32}\\\\t=1.125\ s$

Part (b) :

The maximum height of the ball is calculated by putting t = 1.125 in equation (1) such that :

$h=-16(1.125)^2 + 36(1.125)+ 10\\\\h=30.25\ m$

7 0

4 years ago

In a symmetric and bell-shaped distribution, the mean, median, and mode are the same.

lidiya [134]

The answwer to your question is D

7 0

3 years ago

5 Select the correct expressions. Which expressions are equivalent to 3x + 2(x - 1) - 4? 3x + 2x - 2 - 4 5x - 6 3(x-4) 3(x + 2)

beks73 [17]

Your question is a bit unclear, but I will try to answer it anyway.

The expression 3x + 2(x - 1) - 4 simplified is:

3x + 2(x - 1) - 4

= 3x + 2x - 2 - 4

= 5x - 6

I cannot tell what the answers are but I am guessing they are these?:

A) 3x + 2x - 2 - 4

B) 5x - 6

C) 3(x - 4)

D) 3(x + 2) - 6

E) 6(x - 1)

Answer A is one, and so is answer B. If I read your question accurately.

I hope I helped!

8 0

3 years ago

The original price of a bike is $340. The store offers a discount of 20% off the original price. A customer has a coupon for an

FinnZ [79.3K]

Answer:

$450

explanation:

I think that's the answer

3 0

3 years ago

Simplify 36x^2/64x^2y

aniked [119]

Answer: 3/4

Step-by-step explanation:

1. square root the denominator and nominator, 36= 6 and 64= 8

2. put them together (6/8)

3. simplify 6/8

4. 6/8 divided by 2

5. 3/4 is your answer

3 0

3 years ago

Read 2 more answers