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2 years ago

ABCD is a rectangle. Find the measure of angle α to the nearest degree.

Mathematics

1 answer:

kodGreya [7K]2 years ago

5 0

Answer:

α ≈ 76°

Step-by-step explanation:

The vertices of a rectangle are right , that is 90°

Using the tangent ratio in right triangle ABC

tanα = $\frac{opposite}{adjacent}$ = $\frac{BC}{AB}$ = $\frac{12}{3}$ = 4, then

α = $tan^{-1}$ (4) ≈ 76° ( to the nearest degree )

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Answer:

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Step-by-step explanation:

* Lets explain how to solve the problem

- The rule of expand the binomial is:

$(a+b)^{n}=(a)^{n}+nC1(a)^{n-1}(b)+nC2(a)^{n-2}(b)^{2}+nC3(a)^{n-3}(b)^{3}+...............+(b)^{5}$

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∴ $(10k-m)^{5}=(10k)^{5}+5C1(10k)^{4}(-m)+5C2(10k)^{3}(-m)^{2}+5C3(10k)^{2}(-m)^{3}+5C4(10k)^{1} (-m)^{4}+5C5(10k)^{0}(-m)^{5}$

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