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ValentinkaMS [17]
3 years ago
13

Determine the amount potential energy of 5.0kg book that is moved to three different shelves on a bookcase. The height of each S

helf is 1.0 m, 1.5
Mathematics
1 answer:
Neporo4naja [7]3 years ago
8 0
P. e = mgh
m=5kg
g=10ms-²
h=1 + 1.5 + (you didn't specify the third shelf height) i assume it is 2m
so total = 1+1.5+2= 4.5
p. e = 5×10×4.5 = 225joules
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Marta_Voda [28]

Answer:

choose "infinitely more solutions"

Step-by-step explanation:

Let's solve this system by substitution method

y+1=2x

- 1 = - 1

y = 2x -1   <-- sbstitute this in the next equation

---------------------------------------------------------------------------------

    5y+5 = 10x

5(2x -1) + 5 = 10x

10x -5 + 5 = 10x

10x + 0= 10x

- 10x = -10x

0 = 0      <-- infinitely more solutions

4 0
3 years ago
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MUSIC A song has 28 beats in 4 seconds. At this rate, how many beats are there in 30 seconds?
Deffense [45]
In 4 seconds, number of beats = 28
In 1 sec., it is = 28/4 = 7

Now, In 30 seconds, it would be: 30 * 7 = 210

In short, Your Answer would be: 210 beats

Hope this helps!
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3 years ago
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3 years ago
Pyramid A is a square pyramid with a base side length of 12 inches and a height of 8 inches. Pyramid B is a square pyramid with
yan [13]

Answer:

<em>The volume of pyramid B is 64 times the volume of pyramid A.</em>

<em></em>

Step-by-step explanation:

Given:

Two square pyramids A and B.

Side Length of A, s_A = 12 inches

Height of A, h_A = 8 inches

Side Length of B, s_B = 48 inches

Height of B, h_B = 32 inches

To find:

How many times bigger is the volume of pyramid B than pyramid A?

OR

V_B is how many times bigger than V_A ?

Solution:

First of all, let us have a look at the formula for volume of a pyramid:

V=\dfrac{1}{3} \times \text{Area of Base} \times \text{Height}

Here, base is square, so:

V=\dfrac{1}{3} \times s^2 \times h

Volume of pyramid A:

V_A=\dfrac{1}{3} \times s_A^2 \times h_A

\Rightarrow V_A=\dfrac{1}{3} \times 12^2 \times 8 = 384\ inch^3

Volume of pyramid B:

V_B=\dfrac{1}{3} \times s_B^2 \times h_B

\Rightarrow V_B=\dfrac{1}{3} \times 48^2 \times 32 \\\Rightarrow V_B=\dfrac{1}{3} \times 12^2 \times 8 \times 4^2 \times 4\\\Rightarrow V_B=\dfrac{1}{3} \times 12^2 \times 8 \times 64\\\Rightarrow V_B= 24576\ inch^3 = 384\times 64\ inch^3\\\Rightarrow V_B = V_A\times 64\ inch^3

<em>The volume of pyramid B is 64 times the volume of pyramid A.</em>

3 0
3 years ago
Y=e^x how do I solve this
kolezko [41]
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