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Vesnalui [34]
3 years ago
14

I have 15a but I need 15b and 14

Mathematics
1 answer:
Naily [24]3 years ago
8 0
14. For a prism, the volume is given by
.. V = Bh . . . . . . . . where B is the area of the base, and h is the height of the prism

For a pyramid, the volume is given by
.. V = (1/3)*Bh . . . . where B is the area of the base, and h is the height of the pyramid

The volume is proportional to the area of the base. If the dimensions of the base decrease linearly to zero at the height of the geometry as they do for pyramids and cones, then the volume formula includes a factor of 1/3.


15b. The volume of a pyramid is 1/3 that of a prism with the same base area and height.
You might be interested in
A set of piano prices distributed at a mean of 3000 and a standard deviation of 200 dollars. An electric piano has a price of 25
lana [24]

Answer:

The proportion of piano prices higher than the electric piano is 98.3%

Step-by-step explanation:

The first thing to do here is to calculate the standard score of the price of the electric piano given.

Mathematically, this is

z-score = (x-mean)/SD

where mean is 3000 and SD is 200, x is 2576

z-score = (2576-3000)/200 = -2.12

Now we proceed to calculate the probability of this z-score

The probability we are trying to calculate is

P( x > $2576) or simply P ( z > -2.12)

Using standard score probability calculator or table, we have

P(x>2576) = 1 - P(x<2576)

But, P(x<2576) = 0.017003

P(x>2576) = 1 - P(x<2576) = 0.983

This is same as 98.3%

4 0
3 years ago
Jim, Dan and David share some sweets in the ratio 3:1:5. Jim gets 21 sweets. How many more sweets does David get over Dan?
nadezda [96]

Answer:

David gets 28 more than Dan

Step-by-step explanation:

Jim: Dan : David: total

3   :    1    :  5       : 3+1+5 = 9

Jim gets 21

21/3 = 7

Multiply each number by 7

Jim: Dan : David: total

3*7 :  1*7  :  5 *7  :  9*7

21  :   7     :  35   :  63

David has 35 and Dan has 7

35-7 = 28

David gets 28 more than Dan

8 0
3 years ago
Graph the image of this triangle after a dilation with a scale factor of 2 centered at the origin. Use the polygon tool to graph
Olenka [21]

The triangle is illustrated below.

<h3>How to explain the triangle?</h3>

The first thing you should find are the new vertices:

(x, y) ---> (2x, 2y) ---> (x', y')

(0, 0) ---> (2 (0), 2 (0)) ---> (0, 0)

(-4, 4) ---> (2 (-4), 2 (4)) ---> (-8, 8)

(-4, -2) ---> (2 (-4), 2 (-2)) ---> (-8, -4)

Then, you must join the ordered pairs and graph the new triangle.

See the attached graph.

Learn more about triangles on:

brainly.com/question/1058720

#SPJ1

5 0
1 year ago
-5/4x+2/5=-13/30. What is the solution to ths equation
uysha [10]
2/3 is the answer to this problem.
8 0
3 years ago
Reynaldo drew a rectangular design that was 6 in. wide and 8in. long. He used a copy machine to enlarge the design so that the w
son4ous [18]

Answer:

13\frac{1}{3}\ in

Step-by-step explanation:

we know that

The dilation is a non-rigid transformation that produces similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

step 1

Find the scale factor

Let

z ----> the scale factor

z=\frac{10}{6} ----> ratio of corresponding sides

simplify

z=\frac{5}{3}

step 2

Find the length of the enlarged design (L)

Multiply the length of the original design by the scale factor

so  

L=\frac{5}{3}(8)=\frac{40}{3}\ in

Convert to mixed number

\frac{40}{3}\ in=\frac{39}{3}+\frac{1}{3}=13\frac{1}{3}\ in

7 0
3 years ago
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