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First we find angles A and B. The sum of the angles in a triangle is 180 and we know that angle C is 90 so the sum of angles A and B is also 90. Since they are in a ration of B:A = 3:2 then Angle A is 36 and Angle B is 54. The sin of B is 16/AB. We get the equation sin(54)= 16/AB Solving for AB to three significant digits we get 19.8.

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c) 50 = .5(4x+20-(2x-10)) is the correct answer. 

Arc BC is A

Arc BE is B

Angle A = 50

A-B= 2 * 50

With this formula you can make it fit into one of the choices.

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2.4 (x + 0.98) = 4.08

Divide both sides by 2.4

(x + 0.98) = 1.7

Add 0.98 to both sides

x = 2.68

*Note I assume that the commas mean decimal points

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This calculator does not have the functions of feet or inches. The way to use the calculator for feet and inches is to know the conversion rates between different units i.e. :

1 mile equals 1.6 Kilometers.

1 inch is about 25 millimeters or 2.54 centimeters

A 3-foot measurement is almost exactly 1 meter

1 Kilogram is just over 2 pounds

1 pound is about 454 grams

For anybody who doesn't know, the Imperial System is basically the U.S. Customary System.

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It seems like you're posting a lot of questions... If you don't understand something just ask but don't have us do your homework for you. YOu won't learn anything by just getting the answers. 

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16% of a number equals 16 * 1% of that number. If we know that 1% of the number is 4.6, then 16% of that number is 4.6 * 16= 73.6.

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I'm not sure what you mean by a and b underneath each other... but I interpret it as b is underneath a or a is underneath b. If that is the case it would be a fraction. 

Another thing it could mean is \({a}_{b}\) or \({b}_{a}\) which are subscripts.

If neither of these are correct could you try and be more specific in your question?

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The formula for the radius of an inscribed circle in a triangle is 2 * Area= Perimeter * Radius. In an 8, 15, 17 right triangle, twice the area is 8 * 15= 120 and the perimeter is 8+15+17= 40. So the radius is 120/40=3. The radius is half the diameter so your answer is 3 * 2= 6.

Call the center of the circle C. Since the diameters PQ and PR are perpendicular, we know that sectors PCR and SCQ are quarters of the circle. The area of the circle is 16 pi, so 1/4 of that is 4 pi and since there are two quarter sectors, that means that the area of them both is 4 pi * 2= 8pi. The right triangle PCS and RCQ have legs of 4. The area of the triangls are (4 * 4)/2= 8, since there are 2 triangles, the total area is 16. Combine this area with the sectors to get 8 pi + 16 as your answer.

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