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2 years ago

Find the volume of the triangular prism

Mathematics

1 answer:

Otrada [13]2 years ago

6 0

Answer:

1,848

Step-by-step explanation:

$volume = ( \frac{1}{2} \times a \times b) \times h \\ = ( \frac{1}{2} \times 7 \times 24) \times 22 \\ divide \: 2 \: and \: 24 \: by \: 2 \\ = (1 \times 7 \times 12) \times 22 \\ = (84) \times 22 \\ = 1,848 \\ volume \: = 1,848$

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A craftsman is making a dulcimer with the same dimensions as the one shown. The surface shown requires a special, more durable t

Bogdan [553]

Answer:

$\displaystyle A=\frac{3h^2}{2}+h$

Step-by-step explanation:

<u>Area of trapezoid</u>

Given a trapezoid shape whose parallel sides measure b1 and b2 and whose height (perpendicular to the base) is h, then the area of the trapezoid is given by

$\displaystyle A=\frac{b_1+b_2}{2}\cdot h$

The dulcimer has the following dimensions

$b_1=2h+1$

$b_2=h+1$

and height h

Thus

$\displaystyle A=\frac{2h+1+h+1}{2}\cdot h=\frac{3h+2}{2}\cdot h$

Operating

$\displaystyle A=\frac{3h^2+2h}{2}=\frac{3h^2}{2}+h$

$\boxed{A=\frac{3h^2}{2}+h}$

Is the required polynomial

8 0

3 years ago

In order to select ne board members the french club heald a election 3 members voted in the election. And 7 did not vote what pe

igor_vitrenko [27]

Answer:

30% members have voted.

Step-by-step explanation:

Given:

Number of members voted = 3

Number of members didn't vote = 7

We need to find what percentage of people voted.

Solution:

First we will find the total number of members in the election.

Now we can say that;

The total number of members in the election is equal to sum of Number of members voted and Number of members didn't vote.

framing in equation form we get;

The total number of members in the election = $7+3=10$

Now we will find the percentage of people voted.

So we can say that;

Percentage of members voted can be calculated by dividing Number of members voted from The total number of members in the election and then multiplying by 100 we get;

Percentage of members voted = $\frac{3}{10}\times100 = 30\%$