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notka56 [123]
3 years ago
6

Carmen plans to paint the inside of her swimming pool before she fills it. The pool is a rectangular prism with a length of 20 f

eet, a width of 10 feet, and a depth of 5 feet. (Note: the top of the pool is open and will not be painted.)
How many square feet of surface area will she paint?
1000
700
300
500
Mathematics
1 answer:
N76 [4]3 years ago
7 0

Answer:

1000

Step-by-step explanation:

length x width x height

You might be interested in
Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 3000
defon

Answer:

a) 80
b) 56

Step-by-step explanation:

a) Calculate the volume of the the cup using volume of cylinder equation: V = \pi r^{2} h

Where V = Volume, r=radius, and h=height. Your answer should be in cubic inches (in^3).
You're given diameter, so use equation d/2  = r to find radius.
Substituting these equations will give you: V = \pi (d/2)^2 h
However, the given volume of the sink is 3000\pi, meaning that you should modify your results to match this value. Do not substitute \pi for 3.14..., leave it as a symbolic value. Your final V of the cup should = 37.5 \pi
Divide the volume of the sink by the volume of the cup. This number will be the amount of cups needed to empty it. In equation form:
Vsink / V cup = # of cups.
Note the the \pi will cancel each other out, so there's not need to factor that in.
b) Repeat the steps above with the new d (diameter) value.

5 0
3 years ago
Write an equation of the line that passes through (-3,3) and is perpendicular to the line 2y = 8x - 6​
Aliun [14]
Y=4x-3
M of new line = -1/4

y=(-1/4)x+b
3=(-1/4)(-3)+b
3=(3/4)+b
b=9/4

y=(-1/4)x+(9/4)
3 0
3 years ago
Lin rode her bike 2 miles in 8 minutes. She rode at a constant speed. How
hodyreva [135]

Answer: 4

Step-by-step explanation:

For this question, we have to divide the number 8 by 2.

8 ÷ 2 = 4

Now, we have to take the quotient, 4, and multiply it by 1.

1 x 4 = 4

The answer is 4.

6 0
3 years ago
Which graph is the graph of this fucntion
OverLord2011 [107]
<h2>Answer:</h2>

Graph C

<h2>Step-by-step explanation:</h2>

This is a piecewise-defined function because it is defined by two equations over a specified domain and this domain is [0,5]. The first function comes from the pattern of the square root function f(x)=\sqrt{x} and the second one is a linear function.

The graph of 3\sqrt{x+1} has been shifted one unit to the left of f(x)=\sqrt{x} and stretched vertically where each y-value is multiplied by 3.

Moreover, we can prove that:

The graph of 3\sqrt{x+1} passes through points (0,3) and (3,6):

y= 3\sqrt{x+1} \\ \\ \\ \bullet \ (0,3): \\ \\ let \ x=0: \\ \\ y= 3\sqrt{0+1} \therefore y=3\sqrt{1} \therefore y=3(1) \therefore y=3 \\ \\ \\ \bullet \ (3,6): \\ \\ let \ x=3: \\ \\ y= 3\sqrt{3+1} \therefore y=3\sqrt{4} \therefore y=3(2) \therefore y=6

It passes through these points.

The graph of 5-x passes through points (5,0) and (3,2):

y=5-x \\ \\ \\ \bullet \ (5,0): \\ \\ let \ x=5: \\ \\ y=5-0 \therefore y=5 \\ \\ \\ \bullet \ (3,2): \\ \\ let \ x=3: \\ \\ y=5-3 \therefore y=2

It passes through these points.

____________________

<h3>Finally, the graph is shown bellow and matches Graph C.</h3>

6 0
3 years ago
Find the rate of change of the function h(x) = 4x – 3 on the interval 0 ≤ x ≤ 1. The rate of change is .
bixtya [17]

Answer:

slope = (1 -(-3)) / (1-0) = 4/1 = 4

Step-by-step explanation:

the function is linear, so the rate of change is constant. Another word for rate of change is slope.  The slope of the line is 4.

y = mx + b (m is the slope; b is the y-intercept)We can do the math if your teacher wants.

f(x) = 4x -3

f(1) = 4 -3 = 1

f(0) = 0 -3 = -3

slope = (1 -(-3)) / (1-0) = 4/1 = 4

hope this helped :) <3

5 0
3 years ago
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