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podryga [215]
3 years ago
7

What is the total surface area of the square pyramid?

Mathematics
2 answers:
Sedaia [141]3 years ago
7 0

Answer:

144

Step-by-step explanation:

Hatshy [7]3 years ago
6 0

Answer:

144 in^2

Step-by-step explanation:

There are four triangular sides to this square pyramid.  According to the area-of-a-triangle formula, A = (1/2)(b)(h), which here is A = (1/2)(8 in)(5 in) = 20 in^2.

Thus, the total lateral (side) area is 4(20 in^2) = 80 in^2.

The area of the bottom is (8 in)^2, or 64 in^2.

Thus, the total surface area is 80 in^2 + 64 in^2, or 144 in^2.

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Annette [7]

Answer:

-sinx

Step-by-step explanation:

a trig identity that is crucial to solving this problem is: sin^2 + cos^2 = 1

with knowing that, you can manipulate that and turn it into 1 - sin^2x = cos^x

so 1-sin^2x/sinx - cscx becomes cos^2x/sinx - cscx

it is also important to know that cscx is the same thing as 1/sinx

knowing this information, cscx can be replaced with 1/sinx

(cos^2x)/(sinx - 1/sinx)

now sinx and 1/sinx do not have the same denominator, so we need to multiply top and bottom of sinx by sinx; it becomes....

cos^2x

---------------------

(sin^2x - 1)/sinx

notice how in the denominator it has sin^2x-1 which is equal to -cos^2x

so now it becomes:

cos^2x

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-cos^2x/sinx

because we have a fraction over a fraction, we need to flip it

cos^2x          sinx

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1                  -  cos^2x

because the cos^2x can cancel out, it becomes 1

now the answer is -sinx

3 0
3 years ago
Determine the length of the unknown sides for the right triangle
alisha [4.7K]

Answer:

Below in bold.

Step-by-step explanation:

sin 66.4 = opposite side / hypotenuse

sin 66.4 = 21.3 / y

y = 21.3 / sin 66.4

y = 23.24.

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x = 21.3 / tan 66.4

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3 0
3 years ago
-8x-27=-7\left(1+2x\right)+2x
Darina [25.2K]

Answer:

x=5

Step-by-step explanation:

-8x-27=-7\left(1+2x\right)+2x

Expand:

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Add 27 to both sides:

-8x-27+27=-7-12x+27

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Add 12x to both sides:

-8x+12x=-12x+20+12x

4x=20

Divide both sides by 4:

\frac{4x}{4}=\frac{20}{4}

x=5

5 0
3 years ago
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zavuch27 [327]
-4(4)=-16
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I think that’s what you are asking...
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3 years ago
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Answer:

Step-by-step explanation:

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