When a triangle has angles 30°, 60°, and 90°, its side lengths are related to each other by a special ratio.
This ratio is such that the side opposite the 30°-angle is 1, the hypotenuse is 2, and the side opposite the 60°-angle is √3. This gives a ratio 1:2:√3.
Now, if we put in 7 for the side length opposite the 30°-angle, then the hypotenuse y must be 2 · 7, or 14, and the unknown leg x must be 7√3.
In sum:
,
.
We can solve
this problem by using the formula:
1 +
fractional increase = (original employees + new employees) / original employees
Lets say,
x = original
employees
Therefore
substituting the known values:
1 + 0.05 = (x
+ 30) / x
1.05 x = x +
30
0.05 x = 30
x = 600
Therefore
the number of employees working now is:
<span>x + 30</span>
<span>= 630
employees</span>
Answer:
A
Step-by-step explanation:
A because 16(x + y) = (16x + 16y)
Answer:
A
Step-by-step explanation:
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