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S_A_V [24]
3 years ago
13

BC = Round your answer to the nearest hundredth. B 50° 7

Mathematics
1 answer:
Brrunno [24]3 years ago
4 0

Answer:

BC = 5.87

Step-by-step explanation:

Reference angle = 50°

Side Opposite to reference angle = 7

Adjacent side = BC = ?

Apply trigonometric function, TOA, thus:

Tan 50 = Opp/Adj

Tan 50 = 7/BC

BC × Tan 50 = 7

BC = 7/Tan 50

BC = 5.87369742 ≈ 5.87 (nearest hundredth)

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The sum of three consecutive even numbers is 114 what's the smallest of these numbers​
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Answer:

36

Step-by-step explanation:

consecutive even numbers are 2,4, 6...

Let the smallest of the 3 numbers be x.

2nd number= x+2

3rd number

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sum of the 3 numbers= x +x+2 +x+4

114= 3x+6

3x= 114 -6 (-3 on both sides)

3x= 108 (simplify)

x= 108 ÷3

x= 36

Thus, the smallest number is 36.

Let's check!

36+38+40= 114 ✓

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