Answer:
B
Step-by-step explanation:
I got this answer correct on a test
Answer:
10.6
Step-by-step explanation:
1. C. Concave pentagon
2. A. 1620°
b/c (11 - 2) × 180 = 1620
3. B. 165°
b/c (24 - 2) × 180 ÷ 24 = 165
4. A. 160°
b/c (18 - 2) × 180 ÷ 18 = 160
9514 1404 393
Answer:
(b) 15.32
Step-by-step explanation:
You can use your triangle sense to answer this.
The side x will always be shorter than the hypotenuse, 20. This eliminates the last two choices.
If the angle is 45°, then the sides are equal at about 0.707 times the length of the hypotenuse. That would make them 0.707×20 = 14.14. Since the angle is greater than 45°, the opposite side will be greater than 14.14. Only one answer choice fits between 14 and 20: the second choice -- 15.32.
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The mnemonic SOH CAH TOA reminds you of the relation ...
Sin = Opposite/Hypotenuse
sin(50°) = x/20
x = 20×sin(50°) . . . . multiply by 20 to find x
x ≈ 15.32 . . . . . . . . . use your calculator to evaluate
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The attachment is intended to show how the triangle side lengths change with angle.