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3 years ago

Tell how to undo each operation and explain why it works

Mathematics

1 answer:

laiz [17]3 years ago

3 0

Which operations? like adding/subtracting & multiplying/dividing?

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What word tells a ratio "out of 100"

Ganezh [65]

The word percent means something out of 100

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3 years ago

A circle has a diameter with endpoints of (-3, 8) and (7, 4). What is the center of the circle?

QveST [7]

(2, 6) because it is halfway between both endpoints

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3 years ago

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Angles α and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of β

Dimas [21]

Answer:

From given relation the value of β is 37.5°

Step-by-step explanation:

Given as :

α and β are two acute angles of right triangle

Acute angle have measure less than 90°

Now given as :

$sin(\frac{x}{2} + 2x)$ = $cos(2x +\frac{3x}{2})$

Or, $cos(90° - (\frac{x}{2}+2x))$ = $cos(2x +\frac{3x}{2})$

SO, $(90° - (\frac{x}{2}+2x))$ = $2x+\frac{3x}{2}$

Or, 90° = $2x+\frac{3x}{2}$ + $\frac{x}{2}+2x$

or, 90° = $\frac{4x}{2}$ + 4x

Or, 90° = $\frac{12x}{2}$

So, x = $\frac{90}{6}$ = 15°

∴ $sin(\frac{x}{2} + 2x)$ = $sin(\frac{15}{2} + 30)$

So, $sin(\frac{x}{2} + 2x)$ = sin $\frac{75}{2}$

∴ The value of Ф_1 = $\frac{75}{2}$ = 37.5°

Similarly $cos(2x +\frac{3x}{2})$ = $cos(30 +\frac{45}{2})$

So ,The value of Ф_2 = $\frac{105}{2}$ = 52.5°

∵ β α

So, As 37.5°52.5°

∴ β = 37.5°

Hence From given relation the value of β is 37.5° Answer

7 0

3 years ago

Select the correct answer.

romanna [79]

Employees salary [$}: 30,000, 30,000, 35,000, 35,000, 40,000, 40,000.

CEO Salary: $70,000.

The correct answer is this: BOTH JAN AND MARCY ARE CORRECT.

Jan says the employee average salary is $35,000. This is correct as shown below:

Average employee salary = 30,000 + 30,000 + 35,000 +35,000 + 40,000 + 40,000 / 6 = 210 / 6 = $35,000.

Marcy says the average salary of all company members is $40,000. This is also true as shown below.

Average salary of all company members = 30,000 + 30,000 +35,000 + 35,000 + 40,000 + 40,000 + 70,000 / 7 = 280 / 7 = $40,000.

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3 years ago

A researcher is comparing the effectiveness of three devices designed to help people who snore. There are 120 people who snore p

vampirchik [111]

Answer:

Step-by-step explanation:

A is the less complicated one and the simplest but also the most efficient and the one that makes the most sense.

5 0

3 years ago

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