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Alex777 [14]
2 years ago
10

Advanced Trigonometry, pls help me answer this!​

Mathematics
1 answer:
Ierofanga [76]2 years ago
3 0
<h3>Answer:   14.3 square cm</h3>

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

Explanation:

We have this given info

  • side a = 5
  • side c = 6
  • angle C = 40

Let's apply the law of sines to find angle A

sin(A)/a = sin(C)/c

sin(A)/5 = sin(40)/6

sin(A) = 5*sin(40)/6

sin(A) = 0.535656

A = \sin^{-1}(0.535656) or A = 180-\sin^{-1}(0.535656)

A = 32.388411 or A = 147.611589

There are two possibilities here we need to check.

If you were to try A = 147.611589 along with C = 40, then A+B+C = 180 solves to B = -7.6116 approximately. This isn't valid because the angles cannot be negative. So we rule out the case that A = 147.611589

If we tried A = 32.388411 and C = 40, then we'd get B = 107.611589 which is a valid angle.

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

The last step is to use the SAS triangle area formula to get...

area = 0.5*side1*side2*sin(angle)

area = 0.5*a*c*sin(B)

area = 0.5*5*6*sin(107.611589)

area = 14.296942

This rounds to 14.3 when rounding to 3 significant figures.

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Evaluate the following expression:<br> 30 = 5(8 – 6 + 1) - (2^2 - 3)^3
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30=15

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
A class of 20 boys and 15 girls is divided into n groups so that each group has x boys and y girls. Find x, y and n. what values
melamori03 [73]
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15 = 3 x 5

common divisor (CD) of 20 and 15 is 5 so n should be 5 and each group has 4 boys and 3 girls.

If there are more than one CD, then there are more than one answer.

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3 years ago
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drek231 [11]

Answer:

To find the value of missing exponent, we have to split the number which is in other side of equal sign (which is not having power) as the multiple of base of the missing exponent.

On both sides, powers have the same base, so their exponents must be equal.

Step-by-step explanation:

<h3>Problem 1:</h3>

Write the missing exponent:

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Let x be the missing exponent.

To find the value missing exponent, we have to split the number which is in the left side as the multiple of the base of the missing exponent.

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