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3 years ago

What is the solution for -3x ≥ 36?

Mathematics

2 answers:

SashulF [63]3 years ago

8 0

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Molodets [167]3 years ago

6 0

Answer:

x ≤ -12

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Step-by-step explanation:

Step 1: Define inequality

-3x ≥ 36

Step 2: Solve for x

Divide both sides by -3: x ≤ -12

Here we see that any number smaller than or equal to -12 would work as a solution.

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4 years ago

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3 years ago

Read 2 more answers

Find the central angle of a sector of a circle of the area of the sector and the area of the circle are in the proportion of 3:5

abruzzese [7]

Answer:

$\theta = 216$

Step-by-step explanation:

Given

Area of Sector : Area of Circle = 3 : 5

Required

Determine the central angle

The question implies that

$\frac{Area_{sector}}{Area_{circle}} = \frac{3}{5}$

Multiply both sides by 5

$5 * \frac{Area_{sector}}{Area_{circle}} = \frac{3}{5} * 5$

$5 * \frac{Area_{sector}}{Area_{circle}} = 3$

Multiply both sides by Area{circle}

$5 * \frac{Area_{sector}}{Area_{circle}} * Area_{circle} = 3 * Area_{circle}$

$5 * {Area_{sector} = 3 * Area_{circle}$

Substitute the areas of sector and circle with their respective formulas;

$Area_{sector} =\frac{\theta}{360} * \pi r^2$

$Area_{circle} = \pi r^2$

So, we have

$5 * \frac{\theta}{360} * \pi r^2 = 3 * \pi r^2$

Divide both sides by $\pi r^2$

$5 * \frac{\theta}{360} * \frac{ \pi r^2}{\pi r^2} = 3 * \frac{\pi r^2}{\pi r^2}$

$5 * \frac{\theta}{360} = 3$

Multiply both sides by 360

$360 * 5 * \frac{\theta}{360} = 3 * 360$

$5 * \theta = 3 * 360$

Divide both sides by 5

$\frac{5 * \theta}{5} = \frac{3 * 360}{5}$

$\theta = \frac{3 * 360}{5}$

$\theta = \frac{1080}{5}$

$\theta = 216$

Hence, the central angle is 216 degrees

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3 years ago

A friend is in 5th grade math and asks you to explain exponents with example. What do you say?

Vesnalui [34]

Answer:

If my friend is in 5th grade and they need an example on exponents I would show them something like this 7 to the 3 power would be equal to 7 times 7 times 7 which also equals 343 or 4 to the 4th power would be equal to 4 times 4 times 4 times 4 which equals 256

Step-by-step explanation:

This is a simpiler way to show a younger student how to figure out exponents also. Have a great day :D

If you need help me and my older brother both share this account.

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4 years ago

QUICK HELP!! thank youuuu!!

bixtya [17]

$\dfrac{3t + 3}{5} = 6$