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2 years ago

7

The dimensions of a rectangular prism are n, n + 7, and n + 8. Use the formula V = l ∙ w ∙ h to write a polynomial in standard f

orm for the volume of the prism.
A. 3n + 15
B. 3n + 56
C. n2 + n + 56
D. n3 + 15n2 + 56n

2 answers:

Llana [10]2 years ago

8 0

A... byeeeee l helped you enjoing that quiestion

gladu [14]2 years ago

5 0

Answer:

The answer is d

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I keep putting in the formula but I keep getting the answer wrong

Advocard [28]

Answer:

314 in² (nearest whole number)

Step-by-step explanation:

<u>Radius of a regular polygon</u>: The distance from the <u>center</u> of the polygon to any vertex. The radius of a hexagon is equal to the length of one side.

Therefore, from inspection of the given diagram:

radius = 11 in ⇒ side length = 11 in

To find the area of a regular polygon, we first need to calculate the apothem. The <u>apothem</u> is the line drawn from the center of the polygon to the midpoint of one of its sides.

$\textsf{Length of apothem (a)}=\dfrac{s}{2 \tan\left(\frac{180^{\circ}}{n}\right)}$

where:

s = length of one side
n = number of sides

Given:

s = 11 in
n = 6

Substitute the given values into the formula and solve for a:

$\implies \textsf{a}=\dfrac{11}{2 \tan\left(\frac{180^{\circ}}{6}\right)}=\dfrac{11\sqrt{3}}{2}$

<u>Area of a Regular Polygon</u>

$\textsf{A}=\dfrac{n\:s\:a}{2}$

where:

n = number of sides
s = length of one side
a = apothem

Given:

n = 6
s = 11

$\textsf{a}=\dfrac{11\sqrt{3}}{2}$

Substitute the given values into the formula and solve for A:

$\implies \sf A=\dfrac{6 \cdot 11 \cdot \dfrac{11\sqrt{3}}{2}}{2}$

$\implies \sf A=314.3672216...$

$\implies \sf A=314\:\:in^2\:\:(nearest\:whole\:number)$

8 0

1 year ago

Give the value of x. Explain how you got your answer OR which theorem you used.

PilotLPTM [1.2K]

100+75+70+x= 360° (sum of interior angles of quadrilateral)

x= 360-245= 115°

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2 years ago

If x+ 1/x=8, find x^2+ 1/x^2

Paraphin [41]

Dude please give me brainliest please :)
Also here’s the answer

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2 years ago

What shape is a rhombus related to and why

Ksju [112]

A rhombus is related to a “Parallelogram”

Why? - because it fulfills the requirements of a parallelogram: a quadrilateral with two pairs of parallel sides. It goes above and beyond that to also have four equal-length sides, but it is still a type of parallelogram.

hope this helped <3

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2 years ago

Pls help I’ll brainlest and add extra points

Phoenix [80]

Answer:

26. D) $252

27. A) -6.7 + 6.8

Step-by-step explanation:

26. 400 * 0.3 = 120

400 - 120 = 280

280 * 0.1 = 28 (because the 10% is additional, cannot add it to the original 30%)

280 - 28 = 252

27. -4.5 + 4.4 = -0.1

- 6.7 + 6.8 = 0.1

-0.1 + 0.1 = 0

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2 years ago