A solid machine part is to be manufactured as shown in the figure. The part is made by cutting a small cone off the top of a lar
1 answer:
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The inscribed circle has its center at the point of intersection of the angle bisectors, which also happen to be the medians. Hence the altitude of the triangle is 3 times the radius, or 12 inches.
The side length of this triangle is 2/√3 times the altitude, so the area is
... Area = (1/2)·b·h = (1/2)·(24/√3 in)·(12 in)
... Area = 48√3 in² ≈ 83.1384 in²
Answer:
a.
b. x = 10
Step-by-step explanation:
a. The number of home runs hit by Jack last season = x
It is given that Henry hit 3 more than half as many home runs as Jack hit.
Half of the runs hit by Jack =
3 more than half the runs =
So, the number of home runs hit by Henry =
But, it is given that Henry hit a total of 8 runs.
Therefore,
b.
Subtract 3 from both sides.
= 5
x = 5 × 2
= 10
Hence, Jack hit 10 runs in the last season.