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denis-greek [22]
3 years ago
15

The highlighted bottom layer of the prism has a volume of what is the volume of the prism?

Mathematics
1 answer:
Dimas [21]3 years ago
7 0

Answer:

36

Step-by-step explanation

3 x 3 x 4=36

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The point P(21,35) is on the terminal side of an angle in standard position. What is the distance from P to the origin?
Ira Lisetskai [31]

Answer:

The distance from P to origin is approximately 40.82 units.                                  

Step-by-step explanation:

We are given the following in the data:

The point P(21,35)

We have to find the distance of point P from the origin.

Coordinates of origin: (0,0)

Distance formula:

(x_1,y_1),(x_2,y_2)\\\\d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}

Putting the values, we get,

(21,35), (0,0)\\\\d = \sqrt{(0-21)^2 + (0-35)^2} = \sqrt{1666} = 7\sqrt{34} \approx 40.82\text{ units}

The distance from P to origin is approximately 40.82 units.

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Answer:

Step-by-step explanation:

it's obtuse the sides are to wide

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2 years ago
Which values of k are solutions to the inequality StartAbsoluteValue negative k minus 2 EndAbsoluteValue less-than 18? Check all
Stella [2.4K]

Answer:

You could just replace all the given possible values of k in the inequality and see which ones are solutions, but let's solve this in a more interesting way:

First, remember how the absolute value works:

IxI = x if x ≥ 0

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Then if we have something like:

IxI < B

We can rewrite this as

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Then we can rewrite this as:

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first, we can add 2 in the 3 parts of the inequality:

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Then k can be any value between these two limits.

So the correct options (from the given ones) are:

k = -16

k = -8

k = 0

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2 years ago
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Answer:

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3) about 5 or 4.5

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