Answer:
x = 7
Step-by-step explanation:
The relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(30°) = x/14
x = 14·sin(30°) = 14·0.5 . . . . . multiply by 14 and evaluate
x = 7
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<em>Additional comment</em>
The triangle shown is a 30°-60°-90° triangle. The ratios of sides, shortest-to-longest, are ...
1 : √3 : 2
As we have seen here, the shortest side is 1/2 the length of the longest side, so x = 14/2 = 7.
This triangle and these ratios show up often, so it can be worthwhile to remember these ratios.
1.
Answer D. (75%)
2.
A > 1 so answers B and D. (1.3 and 3.33)
3.
Answer B. (1.04)
4.
This one is strange but answer C (128 players).
5.
Answer D. (13.7%)
9514 1404 393
Answer:
b) 2 7/12 ft
Step-by-step explanation:
The difference is ...
(17 5/12 ft) - (14 5/6 ft) = (17 -14) ft + (5/12 -5/6) ft
= 3 ft + (5/12 -10/12) ft = 3 ft - 5/12 ft
= 2 7/12 ft
Set up a proportion
90/x = 60/100
60x = 9000
x = 150
if you're wondering why I used 60 instead of 40 in the proportion it is because $90 is 60% of the original price, not 40%
hope this helps!
