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3 years ago

In ΔBCD, the measure of ∠D=90°, the measure of ∠B=71°, and DB = 67 feet. Find the length of BC to the nearest tenth of a foot.

Mathematics

1 answer:

PSYCHO15rus [73]3 years ago

8 0

Answer:

in triangle BCD

relationship between base and hypotenuse is given by cos angle

cos 71=b/h

cos71=BD/BC

cos71=67/x

x=67/cos71=205.8ft.

the length of BC to the nearest tenth of a foot is 206ft.

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Answer:

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Svet_ta [14]

Step-by-step explanation:

Perhaps you want to solve the equation for the value of x. If so then let us work it out:

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3 years ago

Which expressions are equivalent to Negative 9 (two-thirds x + 1)? Check all that apply.

Sav [38]

Answer:

$-9(\frac{2}{3}x) + 9(1)\\ \\-6x + 9$

Explanation:

Before we begin, remember the following rules:

1- Distribution property:

$a(b+c) = ab+ac$

2- Simplification of fractions:

$\frac{xy}{yz}=\frac{x}{z}$

3- Signs in multiplication:

+ve * +ve = +ve

-ve * -ve = +ve

+ve * -ve = -ve

Now, for the given problem, we have:

$9 (\frac{2}{3}x + 1)$

Starting with the distributive property:

$-9 (\frac{2}{3}x +1) = -9(\frac{2}{3}x) - (-9)(1) = -9(\frac{2}{3}x) + 9(1)$

..................>This corresponds to option 1

Now, we simplify the output from the above step:

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USPshnik [31]

Answer:

11. x = 6; y = 6.5

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In each figure, the hash marks on the lines indicate the parallel lines (marked with red arrows) are equally-spaced. That means the two expressions involving x are equal to each other, and the two expressions involving y are equal to each other.

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Naya [18.7K]

Answer:

x = 120°

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