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2 years ago

A triangle has a leg of 8 and an angle of 16.5 what is the hypotenuse?

Mathematics

1 answer:

Anna11 [10]2 years ago

7 0

Answer:

Step-by-step explanation:

If you have an angle and the side opposite to it, you can divide the side length by sin(θ) to get the hypotenuse. Alternatively, divide the length by tan(θ) to get the length of the side adjacent to the angle.

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If a number is added to the numerator of 7/8 and the same number is subtracted from the denominator, the result is 4. Find the n

Alisiya [41]

Answer:

The number is 5.

Step-by-step explanation:

Call the number n. Write the problem as an equation:

$\frac{7+n}{8-n}=4\\7+n=(8-n)4=32-4n\\5n = 25\\n=5$

The number is 5.

3 0

2 years ago

Activity 1.1 Simplify Me Simplify by removing perfect nth powers: 1. √20 2. √300 3. √128 3 4. √ 5 3 5. √50 3

LekaFEV [45]

Answer:

$(a)\ \sqrt{20}=2\sqrt{5}$

$(b)\ \sqrt{300} = 10 \sqrt{3}$

$(c)\ \sqrt{128} = 8 \sqrt{2}$

Step-by-step explanation:

Required

Simplify

$(a)\ \sqrt{20}$

Express 20 as 4 * 5

$\sqrt{20}=\sqrt{4 * 5}$

Split

$\sqrt{20}=\sqrt{4} * \sqrt{5}$

This gives:

$\sqrt{20}=2 * \sqrt{5}$

$\sqrt{20}=2\sqrt{5}$

$(b)\ \sqrt{300$

Express as 100 * 3

$\sqrt{300} = \sqrt{100} * \sqrt{3}$

This gives:

$\sqrt{300} = 10 * \sqrt{3}$

$\sqrt{300} = 10 \sqrt{3}$

$(c)\ \sqrt{128}$

Express as 64 * 2

$\sqrt{128} = \sqrt{64*2}$

Split

$\sqrt{128} = \sqrt{64} * \sqrt{2}$

$\sqrt{128} = 8 * \sqrt{2}$

$\sqrt{128} = 8 \sqrt{2}$

Questions 4 and 5 are not clear

Follow the steps in 1 - 3 to solve 4 and 5

7 0

2 years ago

Need help with math homework

Nuetrik [128]

Answer:

Step-by-step explanation:

am not sure but I think its C am not shure

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2 years ago

Find the value of x. Round the length to the nearest tenth.

Virty [35]

Answer:

5.1

Step-by-step explanation:

$tan \ 25 = \frac{opposite \ side}{adjacen \ side}\\\\tan \ 25 =\frac{x}{11}\\\\0.4663 =\frac{x}{11}$

0.4663 * 11 = x

x = 5.1293

x = 5.1

7 0

2 years ago

In each diagram, linek is parallel to line 1, and line t intersects lines k and l.

abruzzese [7]

Answer:

Step-by-step explanation:

7 0

2 years ago