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3 years ago

Which relation is a function?

1 answer:

7 0

The definition of a function is that for each input, there is only one output. Thus, the answer to your question is A, as it is the only answer option that each input has only one output. In answer choice B, the input -1 has outputs of both -2 and -5. In answer choice C, the input 4 has outputs of both 3 and 0. Finally, in answer choice D, the input -4 has outputs of both -4 and 4. Therefore, answer A is the only function because it is the only option that follows the definition. Hope this helps! :)

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17. Find the volume of the rectangular prism. (1p Not drawn to scale.

Anna11 [10]

Answer:

The answer is 240 m^3.

Step-by-step explanation:

5 0

3 years ago

Find the area of each regular polygon. Round your answer to the nearest tenth if necessary.

tatuchka [14]

*I am assuming that the hexagons in all questions are regular and the triangle in (24) is equilateral*

(21)

Area of a Regular Hexagon: $\frac{3\sqrt{3}}{2}(side)^{2} = \frac{3\sqrt{3}}{2}*(\frac{20\sqrt{3} }{3} )^{2} =200\sqrt{3}$ square units

(22)

Similar to (21)

Area = $216\sqrt{3}$ square units

(23)

For this case, we will have to consider the relation between the side and inradius of the hexagon. Since, a hexagon is basically a combination of six equilateral triangles, the inradius of the hexagon is basically the altitude of one of the six equilateral triangles. The relation between altitude of an equilateral triangle and its side is given by:

$altitude=\frac{\sqrt{3}}{2}*side$

$side = \frac{36}{\sqrt{3}}$

Hence, area of the hexagon will be: $648\sqrt{3}$ square units

(24)

Given is the inradius of an equilateral triangle.

$Inradius = \frac{\sqrt{3}}{6}*side$

Substituting the value of inradius and calculating the length of the side of the equilateral triangle:

Side = 16 units

Area of equilateral triangle = $\frac{\sqrt{3}}{4}*(side)^{2} = \frac{\sqrt{3}}{4}*256 = 64\sqrt{3}$ square units

4 0

3 years ago

Find BC if B(8, -7) and C(-4,-2)

Studentka2010 [4]

Answer:

13 unit

Step-by-step explanation:

By the distance formula,

The distance between two points $(x_1,y_1)$ and $(x_2, y_2)$ is,

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

Thus, the distance between B(8,-7) and C(-4,-2) is,

$BC=\sqrt{(-4-8)^2+(-2+7)^2}$

$=\sqrt{(-12)^2+(5)^2}$

$=\sqrt{144+25}$

$=\sqrt{169}$

$=13\text{ unit}$

3 0

3 years ago

Which number is the opposite of the number 2? its -2 right?

Luba_88 [7]

Yes, you are correct, because -2 is 2 spaces away from the number line.

8 0

3 years ago

Pls help will give 5 star and brainliest

Luba_88 [7]

Answer:

The answer to question 5 is B. The answer to question 6 is A. I think that the answer to question 7 is A. The answer to question 8 is C. Hope this helps.

Step-by-step explanation:

3 0

4 years ago