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4 years ago

Solve the equation.7x=-3

Mathematics

1 answer:

Vladimir79 [104]4 years ago

4 0

The answer is x=-3/7 hoped i helped

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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

3 0

3 years ago

Help please ayuda por favor Aidez-moi, s'il vous plaît

SSSSS [86.1K]

Answer:

Step-by-step explanation:

esto está en blanco, por favor escriba algo

- ¡Usuario de Brainliy!

3 0

3 years ago

Read 2 more answers

A football team gained 9 yards on one play and then lost 22 yards on the next.Write a sum of integers to find theoverral change

anastassius [24]

Answer:

-13 yards

Step-by-step explanation:

Estimating that we start off on the middle line, we could solve this by simply looking at a number line. Moving 9 yards ahead would put us at 9. But moving back 22 would place us at a negative number. An easy way of doing this is subtracting 9 from 22:

22 - 9 = 13

But, we already know that since the answer is to the left of zero, it will be a negative number. So we flip the sign to get -13 yards.

3 0

3 years ago

The inverse of the function graphed below is a function. A. True B. False

Anuta_ua [19.1K]

False. In order to have an inverse, your function must pass the horizontal line test. The graph fails the test.

7 0

3 years ago

Read 2 more answers

What times what equals 21 but adds up to -22

attashe74 [19]

Let "what" and "what" be A and B

Put this in an algebraic equation
A * B = 21
A + B = -22

A must = -21 and B must = -1 , this is because two negatives multiply to make a positive

A + B = -22 , -21 +-1 = -22

4 0

3 years ago