Answer:
(b) 33
Step-by-step explanation:
The side opposite x° and the hypotenuse are given. That means the relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(x°) = 6/11
The value of the angle is found using the inverse sine function:
x° = arcsin(6/11) ≈ 33.056°
x ≈ 33
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<em>Additional comment</em>
If you recall, the side length ratios of the "special" 30°-60°-90° triangle are 1:√3:2. Here, you have a shortest:longest side ratio that is 6:11 ≈ 6:12 = 1:2. This means the angle will be only slightly greater than 30°.
Answer:
9/10
Step-by-step explanation:
we substitute the unknown number as "x"
2x + 12 = 8x + 3
12 - 3 = 8x + 2x
9 = 10x
x = 9/10
Answer:
16 (2x); 5:12 (2x), 18 (2x); 7:8; 8:22, 28, 32 (2x), 37; 9:5, 6, 7, 17, 33; 10:4, 11, 12 (2x), 13, 16, 18; 11:26, 32 (2x), 36; 12:3, 4, 17
7/3 and 9/2
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