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jek_recluse [69]
3 years ago
5

What is Formula of Volume of a pentagonal prism?

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
7 0
Volume of the pentagonal prism =
Area of the pentagon• height of the prism
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2 Ella, James, and Ray's grandmother gave them $24 to divide equally. They spent the
Musya8 [376]

3 kids and $24 will give each 24/3=$8 each

$8 for 4days is 8/4=$2 a day they spent

3 0
3 years ago
3.If the ratio of lynx to mountain lions and wolverines in the park is 2:3:1.So for every 2 lynx, there are 3 mountain lions and
Zolol [24]
A.  The ratio of lynx to mountain lions to wolverines is 2:3:1.

Thus, there are 2 lynx in the ratio.  If there were 6 lynx, we would have to multiply all of the numbers in the ratio by 3 (because 6/2 = 3) to keep the ratio in the same proportion.  

Therefore, because there is 1 wolverine in the ratio, and 1 * 3 = 3, if there were 6 lynx, there would be 3 wolverines.

b. We can use the same ideas that we had in part a to help us in part b.
There are 3 mountain lions in the ratio, but there are 15 mountain lions in the problem.  Thus, the multiplier is 5, because 15/3=5.

Therefore, because there are 2 lynx in the ratio, and 2*5 = 10, if there were 15 mountain lions, there would be 10 lynx.

c.  There is one wolverine in the ratio, but there are 10 wolverines in the problem.  Thus, the multiplier is 10, because 10/1 = 10

Therefore, because there are 3 mountain lions in the ratio, and 3 * 10 = 30, if there were 10 wolverines in the park, then there would be 30 mountain lions.

d.  The total number of lynx, mountain lions, and wolverines is 30.
To find out how many of each animal there should be, we must make an equation using the ratio and the variable x. 

2x + 3x + 1x = 30

This equation means that the total number of animals together is 30, which is true.  Now let's simplify by combining like terms.

6x = 30

Finally, we can simplify by dividing both sides by the coefficient of x, or 6.

x = 5

Thus, going back to our original equation, we know that the amount of lynx is 2x, mountain lions is 3x, and wolverines is 1x.

Lynx = 2x = 2(5) = 10 lynx
Mountain Lion = 3x = 3(5) = 15 mountain lions
Wolverines = 1x = 1(5) = 5 wolverines

Hope this helps! :)

7 0
3 years ago
A man standing on level ground is 1000 feet away from the base of a 350-foot-tall building. Find,
CaHeK987 [17]

If you sketch the man and the building on paper, you'll have a
right triangle.  The right angle is the point where the wall of
the building meets the ground.  The height of the building
is one leg of the triangle, the line on the ground from the
building to the man's feet is the other leg, and the line
from his feet to the top of the building is the hypotenuse.

We need to find the angle at his feet, between the hypotenuse
and the leg of the triangle.

Well, the side opposite the angle is the height of the building -- 350ft,
and the side adjacent to the angle is the distance from him to the
building -- 1,000 ft.

The tangent of the angle is      (opposite) / (adjacent)

                                                = (350 ft)  /  (1,000 ft) = 0.350 .

To find the angle, use a book, a slide rule, a Curta, or a calculator
to find the angle whose tangent is 0.350 .

           tan⁻¹(0.350)  =  19.29° .  (rounded)

3 0
3 years ago
Y’all what’s this I’m so confused help
Snowcat [4.5K]

Answer:

x = 66

Step-by-step explanation:

√(x - 2) + 3 = 11

Subtract 3 from both sides:  √(x - 2) = 8

Square both sides:                   x - 2 = 64

Add 2 to both sides:                      x = 66

8 0
2 years ago
What are the points for a 90 degree rotation counterclockwise about the origin
natulia [17]

Answer:

I think the answer is 180 degree angle

8 0
3 years ago
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