9514 1404 393
Answer:
2 1/2 feet
Step-by-step explanation:
The Pythagorean theorem is not useful in this problem.
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If you reflect the triangle over the vertical line, you find that line to be the altitude of an equilateral triangle. That is, all of the vertex angles are 60°.
The base of that equilateral triangle is necessarily twice the length of the base of the triangle shown. All sides of the equilateral triangle are the same length, so all are 5 ft. The base of the triangle shown is half that.
The base (short leg) of the triangle shown is 2 1/2 feet.
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Since angles are given, this can be solved using trigonometry. The short leg will be (5 ft)·cos(60°) = (5 ft)(0.5) = 2.5 ft. (The cosine of 60° is one of the few exact rational values of trig functions of exact angles measured in degrees.)
Two angles that sums to 180° is supplementary.
Two angles that sums yo 90° is complementary.
Answer:
1 1/3 cups of syrup per jar
Step-by-step explanation:
6 2/3 divided by 5 = 20/3 x 1/5 = 20/15 = 1 1/3 cups of syrup per jar
Plug it in
5 + 3 > 8
8 > 8, false
Answer:
g(f(x)) = 10x^2 - 18
Step-by-step explanation:
g(f(x)) = 5(2x² - 5) + 7
g(f(x)) = 10x² - 25 + 7
g(f(x)) = 10x² - 18
(or g(f(x)) = 10x² + (-18), to fit your answer format)
