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3 years ago

Can someone help me figure this out

Mathematics

1 answer:

Setler79 [48]3 years ago

5 0

Answer:

<h2>See the explanation.</h2>

Step-by-step explanation:

It is told that, 330 students that are surveyed, are 9th graders.

Hence, 0.55 represents 330 students, that is 1 represents $\frac{330}{0.55}$ = 600 students.

The number of 9th grade students whose favorite elective is music is represented by 0.18.

1 ≡ 600

0.18 ≡ $600\times0.18$ = 108.

The percentage of students whose favorite elective is home economics and are also in 10th grade is $\frac{0.06}{1} \times100$ = 6%.

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3 years ago

Which of the following expressions are equivalent to \left(9\dfrac{7}{8} + 2\dfrac{4}{5}\right)-\dfrac{1}{2}(9 87 +2 54 )− 21

lora16 [44]

Answer:

$12\dfrac{7}{40}$

Step-by-step explanation:

The given expression is

$\left(9\dfrac{7}{8} + 2\dfrac{4}{5}\right)-\dfrac{1}{2}$

We need to find the simplified form of the given expression.

It can be rewritten as

$\left(9+\dfrac{7}{8} + 2+\dfrac{4}{5}\right)-\dfrac{1}{2}$

Combine integers and fractions separately.

$(9+2)+(\dfrac{7}{8}+\dfrac{4}{5}-\dfrac{1}{2})$

Taking LCM we get

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$11+\dfrac{47}{40}$

In can be written as

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Therefore, the expression $12\dfrac{7}{40}$ is equivalent to the given expression.

5 0

3 years ago

How do I solve this?

Serhud [2]

Answer:

44.94

Step-by-step explanation:

Use trigonometric ratios to find the unknown side.

Since you are given the adjacent side and the opposite side is in question, use the tangent ratio.

tan(x) = opposite/adjacent

Replace the variables with given values.

tan(59) = x/27

Isolate the variable.

27tan(59) = x

Use a calculator to evaluate the answer.

x = 27tan(59) ≈ 44.94

Please mark as Brainliest! :)

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3 years ago