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1 year ago

Determine the measure of the indicated angle in the following triangle:

Mathematics

1 answer:

devlian [24]1 year ago

3 0

Answer:

Θ ≈ 58°

Step-by-step explanation:

using the Cosine Rule in the triangle

cosΘ = $\frac{80^2+60^2-70^2}{2(80)(60)}$ = $\frac{64000+3600-4900}{9600}$ = $\frac{5100}{9600}$ = $\frac{51}{96}$ , then

Θ = $cos^{-1}$ ( $\frac{51}{96}$ ) ≈ 58° ( to the nearest degree )

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3 years ago

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andrew-mc [135]

$\dfrac{ \dfrac{x+3}{4x^2-16} }{ \dfrac{2x^2+10x+12}{2x-4} }$

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$= \dfrac{x+3}{4x^2-16} \div \dfrac{2x^2+10x+12}{2x-4}$

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Factorise the numerators and denominators when possible:
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$= \dfrac{x+3}{4(x+2)(x-2)} \div \dfrac{ 2(x + 3) (x + 2)}{2(x-2)}$

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Convert the divide fraction to multiplication fraction
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$= \dfrac{x+3}{4(x+2)(x-2)} \times \dfrac{2(x-2)}{2(x+3)(x+2)}$

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3 years ago

Here are four number cards.

yaroslaw [1]

Answer:

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Step-by-step explanation:

use number line for b

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2 years ago