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3 years ago

Question Multiple Choice Worth 1 points)

Mathematics

1 answer:

just olya [345]3 years ago

5 0

Answer:

Step-by-step explanation:

Givens

Area of base the right triangular prism = Area base of the cylinder

The heights of both are 6.

The general formula for a regular solid is V = B * height

The answer is that the volumes are the same

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What is the slope of the line segment?

Lorico [155]

Slope of a line segment can be demonstrated as rise/run. The amount a line rises or falls, divided by the amount the line "runs" or moves from left to right. This can be calculated by choosing any two points on the line and using the equation m = (y2 - y1)/(x2 - x1)

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4 years ago

Permutations vs combinations(one step):

Bogdan [553]

Answer:

the expression is: $^{15}P_3=\frac{15!}{(15-3)!}$

and 2730 different ways are possible.

Step-by-step explanation:

In the given question we have to choose a president, vice

president, and secretary.

Permutations are used when order is important so, as in the given question order is required. We would use permutations

The formula used is: $^nP_r=\frac{n!}{(n-r)!}$ where:

n=total number of objects

r=number of objects selected

In our case: n=15, r=3

Putting values and finding the answer:

$^nP_r\\^{15}P_3=\frac{15!}{(15-3)!} =2730 \ ways$

So, the expression is: $^{15}P_3=\frac{15!}{(15-3)!}$

and 2730 different ways are possible.

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3 years ago

Find the volume of the wedge-shaped region (Figure 1) contained in the cylinder x2+y2=81 and bounded above by the plane z=x and

Natali5045456 [20]

In cylindrical coordinates, the volume is given with

$\displaystyle\int_{\theta=-\pi/2}^{\theta=\pi/2}\int_{r=0}^{r=9}\int_{z=0}^{z=r\cos\theta}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle\int_{\theta=-\pi/2}^{\theta=\pi/2}\int_{r=0}^{r=9}r^2\cos\theta\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle\left(\int_{\theta=-\pi/2}^{\theta=\pi/2}\cos\theta\,\mathrm d\theta\right)\left(\int_{r=0}^{r=9}r^2\,\mathrm dr\right)$
$=486$

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3 years ago

Read 2 more answers

In one month, Claudia rides her favorite bike trail 12 times. She travels a total distance of 1,182 km. What is the length of Cl

Svetlanka [38]

98 $98 \frac{1}{2}$

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3 years ago

Which expression represents the calculation “subtract 4 from 12, then divided by 8”? A) 4 ÷ (12 − 8) B) (12 − 4) ÷ 8 C) (4 − 12)

Svetlanka [38]

The answer is B

As the question states that you need to "subtract 4 from 12" that means that you are taking 4 away from 12, so it would be 12-4.

Then it says to divide by 8. This means that for the subtraction to happen first, it must be withing parenthesis, so that would make the expression become

(12-4)÷8

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3 years ago