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lys-0071 [83]
3 years ago
5

A triangular pyramid has the same base and height as a triangular prism. The volume of the pyramid is 31 cubic millimeters. What

is the volume of the triangular prism?
Mathematics
1 answer:
SOVA2 [1]3 years ago
3 0
Given:
Triangular pyramid volume is 31 cubic millimeters
Triangular prism
Base and height are the same.

Volume of Triangular pyramid = 1/3 * Base Area * height
Volume of Triangular prism = Base Area * Height

To get the volume of the triangular prism using the volume of triangular pyramid, we multiply the volume of triangular pyramid by 3.

31 cubic millimeters ÷ 1/3 = 31 mm³ * 3 = 93 mm³

Volume of triangular prism is 93 cubic millimeters.
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1.6 minute. 35 mph and 21 mile away. you divide 35÷21

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Root 3 minus root 2 divided by root 3 + root 2​
Paladinen [302]

Answer:

5 - 2 \sqrt{6}

Step-by-step explanation:

Perhaps you are interested in rationalising the denominator of the given problem. Let's do it.

\frac{ \sqrt{3} -  \sqrt{2}  }{ \sqrt{3} +  \sqrt{2}  }  \\  \\ multiplying \: numerator \: and \: denominator \:  \\ by \: (\sqrt{3} -  \sqrt{2}) \\  \\  \frac{( \sqrt{3} -  \sqrt{2} ) }{ (\sqrt{3} +  \sqrt{2}  )}  \times  \frac{ (\sqrt{3} -  \sqrt{2}  )}{ (\sqrt{3}  -   \sqrt{2}  )}  \\  \\  =   \frac{{( \sqrt{3}  -  \sqrt{2} )}^{2} }{ { (\sqrt{3} })^{2}  -  {(  \sqrt{2} })^{2} }  \\  \\  =  \frac{ { (\sqrt{3} )}^{2} +   { (\sqrt{2} )}^{2}   - 2 \sqrt{3 \times 2}  }{3 - 2}  \\  \\  =  \frac{3 + 2 - 2 \sqrt{6} }{1}  \\  \\  = 5 - 2 \sqrt{6}

6 0
3 years ago
Francesca has a garden at home. She has 3 rows of tomato with 8 plants . She also have 5 rows of zucchini plants with 6 plants i
a_sh-v [17]

Answer:

54 plants

Step-by-step explanation:

3rows of tomatoes with 8 plants each

=3×8=24

5 rows of zucchini plants with 6 plants each

=5×6

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Total number of plants in Francesca garden

=24 tomatoes+30 zucchini

=54 plants

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3 years ago
You babysit 15 hours each week for $6.00 per hour. You also earn $25.00 each
alexdok [17]

Answer:

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Step-by-step explanation:

Although it did say to complete the equation I put the answer just in case.

So, in order to calculate the total weekly income, I will use x which will equal the number of hours. The equation needed to calculate the weekly total income will be:

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Because we know the number of hours is 15, we can plug 15 in x:

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So, the total weekly income will be $115(don't forget to put the unit! In this case it will be the dollar sign).

4 0
3 years ago
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I showed you a curvilinear relationship between age and memory. Now, I want you come up with two variables that you think might
Bogdan [553]

Answer:

Step-by-step explanation:

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A curvilinear relationship is a type of relationship in which there are two variables. As and when the value of one variable increases, so does the value of the other. This continues until a certain point, after which an increase in one variable decreases the value of the other.

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