A quadrilateral regular pyramid, the area of any of its lateral faces equal the area of its base, if the side
length of the base of the pyramid is = 6 cm, then the volume of the pyramid =..........cm3
a) 36
b) 673
c) 36/15
d) 216V15

Answers

Answer 1

Answer:

  c)  36√15 cm³

Step-by-step explanation:

We can compute the volume of the pyramid if we know the area of its base, and its height.

__

A regular quadrilateral is a square. If one side of the square is 6 cm, its area will be ...

  A = s² = (6 cm)² = 36 cm² . . . . area of the pyramid base

__

Each triangular face will have a slant height that makes its area the same as that of the base.

  A = 1/2bh

  36 cm² = (1/2)(6 cm)h

  (36 cm²)/(3 cm) = h = 12 cm  . . . . .  divide by the coefficient of h

The slant height of a face is the hypotenuse of a right triangle whose short leg is half the side length, and whose long leg is the height of the pyramid. If that height is represented by h, the Pythagorean theorem tells us ...

  (6 cm/2)² +h² = (12 cm)²

  h² = (144 -9) cm²

  h = 3√15 cm . . . . . height of the pyramid

__

The volume of the pyramid is given by ...

  V = 1/3Bh . . . . . . base area B, height h

Using the values we found above, we compute the volume to be ...

  V = (1/3)(36 cm²)(3√15 cm) = 36√15 cm³


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Step-by-Step Explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

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Answer:

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Step-by-step explanation:

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1)
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Answers

x=6

Explanation:

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Therefore,

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Answers

Answer:   x = 19.7  (choice C)

=========================================================

Explanation:

The reference angle is 24 degrees. Opposite that angle is the side 8 units long. The horizontal portion is unknown and it's the adjacent side.

Also unknown is the value of x which is the hypotenuse.

To summarize:

opposite = vertical leg = 8adjacent = horizontal leg = unknownhypotenuse = x

The hypotenuse is always opposite the 90 degree angle.

To tie together the opposite and hypotenuse, we'll use the sine ratio

sin(angle) = opposite/hypotenuse

sin(24) = 8/x

x*sin(24) = 8

x = 8/sin(24)

x = 19.6687 approximately

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Side note: your calculator needs to be in degree mode

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Answers

Step-by-step explanation:

So it takes 5 pounds to make 9 jars of peanut butter and x pounds to make 24 jars of peanut. The equation is written as

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And your final answer will be

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Answers

K =1 see attached picture

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Answer:

Leo´s response to the bully is a response of hurt and embarrassment. He seems sad and doesn´t even directly respond to the bullies ,¨several

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Explanation:

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Leo´s response to the bully is a response of hurt and embarrassment. He seems sad and doesn´t even directly respond to the bullies ,¨several

students were huddled around Leo's desk... he had red rings around his eyes. He looked up at Hannah and said, "Why are people so mean?"

Explanation:

if Leo had posted something mean online the outcome would only have worsened. If it were him in the bullies shoes and the bully in his, the bully wouldve understood how these mean things make people feel.

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students were huddled around Leo's desk... he had red rings around his eyes. He looked up at Hannah and said, "Why are people so mean?"

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if Leo had posted something mean online the outcome would only have worsened. If it were him in the bullies shoes and the bully in his, the bully wouldve understood how these mean things make people feel.

Step-by-step explanation:

If the legs of an isosceles right triangle have a length of 15 StartRoot 2 EndRoot ft, what is the length of the hypotenuse? 7. 5 feet feet feet 30 feet.

Answers

The length of the hypotenuse is 30 ft and this can be determined by using the Pythagorean theorem.

Given :

The legs of an isosceles right triangle have a length of [tex]15\sqrt{2}[/tex] ft.

The following steps can be used in order to determine the length of the hypotenuse:

Step 1 - The Pythagorean theorem can be used in order to determine the length of the hypotenuse.

Step 2 - According to the given data, the legs of an isosceles right triangle have a length of [tex]15\sqrt{2}[/tex] ft.

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For more information, refer to the link given below:

brainly.com/question/21149612

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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[tex]\huge \rm༆ Answer ༄[/tex]

Let's rearrange the terms to convert the equation into slope - intercept form ~

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I hope it helps ~

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

STEP ONE:

5500-4800(2)

STEP TWO:

5500-9600

STEP THREE:

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Answers

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Answers

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Step-by-step explanation:

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simplify

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1)
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Answers

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////

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thanks!​

Answers

Answer: yes, it does fall at a constant rate. for each hour there is one inch of rainfall.

Step-by-step explanation:

if the line goes the the origin (0,0) then that means that it is a constant rate. if you look at the chart, there is number on every other line. This means that there is an odd number on the other lines. If you then go up the line for 1 hour, then you will meet at lines intersecting to get 1 inch of rainfall per hour

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