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stepan [7]
3 years ago
11

What is the volume of the prism below?

Mathematics
1 answer:
Fudgin [204]3 years ago
5 0

Answer: A) 150 cubic units

V = area of the base <u>times</u> the height of the prism.

(5)(6) = 30

30/2 =15

V = (15)(10)

V = 150 cubic units

You might be interested in
Which point is collinear with points a and d
Art [367]
B. (6, -8)

First, you need to figure out the slope of the line

(y1 - y2) / (x1 - x2)

After substituting points D(-3, 4) A(3, -4)

[4 - (-4)] / (-3 - 3)
(8) / (-6)

The slope of the line is -8/6 or -4/3 simplified

Then you can put it in point slope form:

(y - y1) = m(x - x1)

(y - y1) = -4/3(x - x1)

The point that I am using for point slope form is A(3, -4)

[y - (-4)] = -4/3(x - 3)
y + 4 = -4/3(x - 3)

Next you have to simplify the equation so that y is isolated

y + 4 = -4/3(x - 3)

First distribute the -4/3

y + 4 = -4/3(x) + (-4/3)(-3)
y + 4 = -4/3x + 4

Subtract 4 on both sides
y + 4 - 4 = -4/3x + 4 - 4
y = -4/3x

Now that you have y = -4/3x, you can substitute the values until one of them makes the equation equal

For example) (6, -8)
-8 = -4/3(6)
-8 = -8

So since (6, -8) fits in the slope intercept equation, it must me collinear with points A and D

~~hope this helps~~

6 0
4 years ago
Each day, the human heart pumps about 7500 liters of blood. As a simple approximation, assume that the work done by the heart is
erik [133]

Answer with Step-by-step explanation:

We are given

Volume of blood=V=7500 L=7500\times 0.001=7.5 m^3

1 liter=0.001 m^3

Height of person=h=1.5 m

Density of blood,\rho=1050 kg/m^3

We have to find the work done and power of person's heart.

We know that

Work done,W=mgh=\rho Vgh

Where g=9.8 m/s^2

Using the formula

W=1050\times 7.5\times 9.8\times 1.5=1.16\times 10^5 J

Time,t=1 day=24\times 60\times 60=86400 s

Power, P=\frac{W}{t}

Using the formula

P=\frac{1.16\times 10^5}{86400}=1.34 Watt

7 0
3 years ago
Please Find the surface area of the sphere. Round your answer to the nearest hundredth.
Lorico [155]
The first thing I did was to be a part of the world and the other is a great way to get the best out of the way and I have to say that I am not a fan of the most important things to do in the future and the other is a great way to get the best out of the way and I have to say that I am
7 0
3 years ago
Write the equation of a line with a slope of 3 and a y-intercept of 1. (2 points)
lozanna [386]
Y = mx + b where m =  slope = 3 and b = y intercept = 1
so equation
y = 3x + 1

answer
<span>y = 3x + 1</span>
6 0
3 years ago
What is the solution to the equation?
pashok25 [27]

Answer:

x= 27

Step-by-step explanation:

Move <u>constant</u> to the right-hand side and change its sign.

\sqrt{2x+10} = 2+6

Add the numbers.

\sqrt{2x+10}= 8

Square both sides of the equation.

2x+10= 64

Move the <u>constant</u> to the right-hand side and change its sign.

2x= 64-10

Subtract the numbers.

2x= 54

Divide both sides of the equation by 2.

x= 27

4 0
3 years ago
Read 2 more answers
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