, so the leg opposite θ is 12 and the leg adjacent to θ is 5. Cosine is ,
so you need to find the hypotenuse of the triangle. You can use the Pythagorean Theorem, or
you can recognize this as a 5-12-13 Pythagorean triplet. The hypotenuse is therefore 13. The
leg adjacent to θ is still 5, so cos θ = .
- 7,054 First, you need to determine the current exchange rate. The 7% fee is the same (relative to
the exchange rate), whether it was applied to the Cedi or USD. Therefore, 7% of 651 Cedi
is equal to 32.30 USD. Translate English to math: 0.07(651) = 32.30, or 45.57 Cedi =
32.30 USD. Next, you want the value of an item worth 5,000 USD in Cedi, so set up a
proportion: . Cross-multiply: (45.57)(5,000) = 32.30x, or
227,850 = 32.30x. Divide both sides by 32.30 and you get x = 7,054.18 USD, which rounds
to 7,054.
- 63.6 or 63.7
First, draw a square inscribed in a circle. Because the diameter of the circle is equal to the
diagonal of the square, you can plug in a number like 2 for the length of the diameter.
Because the diameter forms a 45°-45°-90° triangle, each side of the square has a length of
- Using the area formula for a square (A = s^2 ), plug in 2 for the s to get A = 2^2 , which
simplifies to A = 4. The area of the square is 4. To find the area of the circle, use the
formula A = πr^2 . Because the diameter of the circle is 2 , r = . Plug that into the area
formula to see that A = π( )^2 , which simplifies to A = 2π. To find the solution, translate the
question from English into math. The area of the square is what percent of the area of the
circle becomes: 4 = · 2π. Solve for x: First, divide each side by 2π, and then multiply
each side by 100. The answer is a non-repeating decimal beginning 63.66197....When
entering your answer, simply cut off the decimal (do not round) so it takes up four spaces.
You should enter 63.6.
or 0.7
