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Rasek [7]
3 years ago
7

what is the height of a rectangular prism that has a volume of 280 cubic meters , a length of 8 meters, and width of 7 meters?

Mathematics
1 answer:
murzikaleks [220]3 years ago
8 0

Volume = L x W x H

V = 280

L = 8 m

W = 7 m

8 x 7 = 56

280 / 56 = 5

7 x 8 x 5 = 280

Height = 5

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3 years ago
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Question part points submissions used as a science project, you drop a watermelon off the top of the empire state building, 320
Nataly [62]
We are given a watermelon dropped at free fall from a building 320 meters above the sidewalk. Superman is headed down at 30 meters per second. We are asked to determine how fast is the watermelon going when it passes Superman. To solve for the final velocity of the watermelon, we will use one of the kinematic equations (free fall):

vf = vi + a*t

where vf is the final velocity
            vi is the initial velocity, zero
            a is the acceleration, in this case, gravitational acceleration = 9.8m/s^2
            t is time

we also need to set-up another equation using the distance:

d = vf + vi / 2 * t

(1) 320 m = vf * t /2

(2) vf = 9.8 m/s^2 * t

From here, we have two equations and two unknown, thus we can solve the problem by substitution. 

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8 0
3 years ago
Which of these limits evaluate to 0?
Vikentia [17]
<h3>Answer: C) I and II only</h3>

===============================================

Work Shown:

Part I

\displaystyle \lim_{x \to 2}\frac{x-2}{x+2} = \frac{2-2}{2+2}\\\\\\\displaystyle \lim_{x \to 2}\frac{x-2}{x+2} = \frac{0}{4}\\\\\\\displaystyle \lim_{x \to 2}\frac{x-2}{x+2} = 0\\\\\\

----------

Part II

\displaystyle \lim_{x \to 0}\frac{\sin(x)}{x+2} = \frac{\sin(0)}{0+2}\\\\\\\displaystyle \lim_{x \to 0}\frac{\sin(x)}{x+2} = \frac{0}{2}\\\\\\\displaystyle \lim_{x \to 0}\frac{\sin(x)}{x+2} = 0\\\\\\

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Part III

\displaystyle \lim_{x \to 5}\frac{x}{x} = \lim_{x \to 5}1\\\\\\\displaystyle \lim_{x \to 5}\frac{x}{x} = 1\\\\\\

7 0
3 years ago
the amount of money in an account with continuously compounded interest. calculated to the nearest tenth of a year how long it t
pentagon [3]
You will need this formula:
Years = ln (Total / Principal) / rate
(where "ln" means natural logarithm)
and we'll use $100 and $200 for beginning and ending amount
Years = ln (200 / 100) / rate
Years = 0.69314718056 / .052
Years = <span> <span> <span> 13.3297534723 </span> </span> </span>
Rounding to the nearest tenth of a year:
Years = <span> <span> <span> 13.3

Source:
http://www.1728.org/rate2.htm

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6 0
3 years ago
Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.
Ivan

Answer:

The final answers are x = 10.385 OR x = -0.385  

Step-by-step explanation:

Given the equation is x^2 -4 = 10x

Rewriting it in quadratic form as:- x^2 -10x -4 = 0.

a = 1, b = -10, c = -4.

Using Quadratic formula as follows:- x = ( -b ± √(b² -4ac) ) / (2a)

x = ( 10 ± √(100 -4*1*-4) ) / (2*1)

x = ( 10 ± √(100 +16) ) / (2)

x = ( 10 ± √(116) ) / (2)

x = ( 10 ± 10.77 ) / (2)

x = ( 10 + 10.77 ) / (2) OR x = ( 10 - 10.77 ) / (2)

x = 20.77/2 OR x = -0.77/2

x = 10.385 OR x = -0.385

Hence, final answers are x = 10.385 OR x = -0.385

3 0
3 years ago
Read 2 more answers
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