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Luden [163]
3 years ago
13

Solve the right triangle shown in the figure

Mathematics
1 answer:
lana [24]3 years ago
6 0

Answer:

Option B

Step-by-step explanation:

step 1

Find the measure of angle A

Remember that the sum of the interior angles of a triangle must be equal to 180 degrees

∠A+∠B+∠C=180°

substitute the given values

∠A+23.4°+90°=180°

∠A+23.4°+90°=180°-113.4°=66.6°

step 2

Find the length of side BC (a)

Applying the law of sines

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

3.3/sin(90)=a/sin(66.6)

a=3.3*sin(66.6)/sin(90)

a=3.0 mm

step 3

Find the length side AC (b)

Applying the law of sines

c/sin(C)=b/sin(B)

3.3/sin(90)=b/sin(23.4)

b=3.3*sin(23.4)/sin(90)

b=1.3 mm

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Answer:

-8/3

Step-by-step explanation:

8x + 3y = - 9

Let's make y the subject of the formula.

y = - 9/3 - 8x/3

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Now multiply those values 5 and 4 to get 20. There are 20 different ways to pick a pair of letters from a pool of 5 total. However, order does NOT matter because the segment AB is the same as BA. Since order doesn't matter, we are doubly counting when we shouldn't. In other words, our count is two times higher than it should be. Instead of 20 pairs, it's actually 20/2 = 10 pairs. That's why the answer is 10.

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Side note: you can use the nCr combination formula with n = 5 and r = 2 to get the same answer.

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miss Akunina [59]

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145,000

301

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Step-by-step explanation:

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