A circle with radius 4 inches is inscribed in an equilateral triangle. Find the area of the triangle.
1 answer:
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
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Answer:
≈ 35.1 ft
Step-by-step explanation:
The model is a right triangle with ladder being the hypotenuse and the angle between the ground and the ladder is 70°
Using the cosine ratio, with l being the length of the ladder.
cos70° = =
( multiply both sides by l )
l × cos70° = 12 ( divide both sides by cos70° )
l = ≈ 35.1 ( to the nearest tenth )
The ladder is approx 35.1 ft long
The price of the Xbox One after tax is $265
<h3><u>Solution:</u></h3>The price of a Xbox one is $250
The tax on Xbox one is 6%
Now, the tax of 6% on 250 is calculated as follows:-
So, the tax on Xbox one is $15
The total price of box including tax can be calculated by adding price of box and tax on box
<em>Total price of Xbox after tax = actual price of the Xbox One + Tax on the Xbox One </em>
= $250 + $15
= $265
Hence, the price of the Xbox One after tax is $265