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hammer [34]
3 years ago
5

A pyramid has a base 16 inches x 16 inches and a slant height of 10 inches. what is the volume in cubic inches

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
4 0

Answer:

  512 in³

Step-by-step explanation:

The height perpendicular to the base is the leg of a right triangle with hypotenuse 10 in and other leg 8 in. Using the Pythagorean theorem, we can find it as ...

  h² +8² = 10²

  h² = 100 -64 . . . . . subtract 8²

  h = 6 . . . . . . . . . . . . take the square root of 36

Then the volume is found using ...

  V = (1/3)Bh = (1/3)(16 in)²(6 in) = 512 in³

The volume is 512 cubic inches.

_____

The 8-inch dimension used above comes from half the distance between the center of one side of the base to the center of the opposite side. (16 in)/2 = 8 in.

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3 years ago
Find the sum of the constants a, h, and k such that
ra1l [238]

Answer:

  3

Step-by-step explanation:

The value of "a" is the coefficient of x^2, so we know that is 2.

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<u>Solve for h</u>

Now, we have ...

  2x^2 -8x +7 = 2(x -h)^2 +k

Expanding the right side gives us ...

  = 2(x^2 -2hx +h^2) +k

  = 2x^2 -4hx +2h^2 +k

Comparing x-terms, we see ...

  -4hx = -8x

  h = (-8x)/(-4x) = 2

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<u>Solve for k</u>

Now, we're left with ...

  2h^2 +k = 7 = 2(2^2) +k = 8 +k

Subtracting 8 we find k to be ...

  k = 7 -8 = -1

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And the sum of constants a, h, and k is ...

  a +h +k = 2 +2 -1 = 3

The sum of the constants is 3.

6 0
3 years ago
please can someone explain to me how this is done the answer is 85 but how to figure it out I am giving away 10 points the quest
shtirl [24]

Answer:

Step-by-step explanation:

A = \frac{hb}{2}

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3 0
3 years ago
8. which function does not represent y as a function of x?​
olya-2409 [2.1K]

Answer:  graph D

<u>Step-by-step explanation:</u>

graph A) The equation is y = x

graph B) The equation is y = -x² + 2

graph C) The equation is x = y²

graph D) The equation is y = 2

Which equation does not have an "x" in it?  <em>D</em>

Therefore, the y-value is not dependent on an x-value.

6 0
3 years ago
What is the value of the function when x = 1? <br><br><br><br> y =
Leona [35]
Find the point in which the x = 1, and the y  point meets.

When x = 1, y = 2

2 is your answer for y

hope this helps
8 0
3 years ago
Read 2 more answers
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