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irakobra [83]
3 years ago
8

How can a triangular prism have a greater volume than a rectangular prism?

Mathematics
1 answer:
son4ous [18]3 years ago
3 0

Answer:

Step-by-step explanation:

Assume that the two prisms have bases of equal area.

Then the volume of the rectangular prism is V = (base area)(height).

The volume of the triangular prism is V = (1/3)(base area)(height)

We could compare the two volumes by creating the ratio inequality

  (1/3) (base area)(t-height)

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

      (base area)(r-height)

The triangular prism will have the greater volume for (1/3)((t-height) > r-height.

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A construction worker fills a mold with concrete. This solid figure represents the mold.
nadezda [96]

Answer:

volume = 338 x 20 = 6760 cm^3

Step-by-step explanation:

large rectangular top area = 14 x 22 = 308 cm^2

small rectangular top area = 6x5 = 30 cm^2

total top area = 308 + 30 = 338 cm^2

volume = 338 x 20 = 6760 cm^3

4 0
3 years ago
How do I find the y intercept in a fraction
Furkat [3]

ANSWER:

Both functions have the same slope

The linear equation does not have a y-intercept

The table and the grahp express an equivalent function

STEP-BY-STEP EXPLANATION:

In order to compare, we must calculate the slope of the table, knowing that the equation in its slope and intercept form is the following:

\begin{gathered} y=mx+b \\ \text{where m is the slope and b is y-intercept} \end{gathered}

The formula to calculate the slope is the following:

m=\frac{y_2-y_1}{x_2-x_1}

The points are (-6, -9/2) and (4,3), replacing:

m=\frac{3-(-\frac{9}{2})}{4-(-6)}=\frac{3+\frac{9}{2}}{4+6}=\frac{\frac{15}{2}}{10}=\frac{15}{20}=\frac{3}{4}

The slope is 3/4

Now, for b

x = 4

y = 3

m = 3/4

replacing:

\begin{gathered} 3=\frac{3}{4}\cdot4+b \\ b=3-3 \\ b=0 \end{gathered}

The equation is:

y=\frac{3}{4}x

Therefore, the true statements are:

• Both functions have the same slope

,

• The linear equation does not have a y-intercept

,

• The table and the grahp express an equivalent function

8 0
9 months ago
3.6 - 1.24 is equal to what?
bogdanovich [222]
The answer is 2.36 :) :) :) :) :)
4 0
2 years ago
Read 2 more answers
Please help!!!!!!!!! ​
MArishka [77]

Answer:

Step-by-step explanation:

The point means that 15 pounds of beans cost 12 dollars.

7 0
2 years ago
Which functions have an axis of symmetry of x = -2? Check all that apply. A. f(x) = x^2 + 4x + 3 B. f(x) = x^2 - 4x - 5 C. f(x)
Snowcat [4.5K]

Answer:

A. f(x) = x^2 + 4x + 3

D. f(x) = -2x^2 - 8x + 1

Step-by-step explanation:

The axis of symmetry is found by h = -b/2a  where ax^2 +bx +c

A. f(x) = x^2 + 4x + 3

  h = -4/2*1 = -2    x=-2

B. f(x) = x^2 - 4x - 5

h = - -4/2*1 = 4/2 =2  x=2  not -2

C. f(x) = x^2 + 6x + 2

h =  -6/2*1 = -3/2 =  x=-3/2  not -2

D. f(x) = -2x^2 - 8x + 1

h = - -8/2*-2 = 8/-4 =-2  x=-2  

E. f(x) = -2x^2 + 8x - 2

h = - 8/2*-2 = -8/-4 =2  x=2  not -2

7 0
3 years ago
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