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Licemer1 [7]
1 year ago
12

The measure of central angle xyz is radians. What is the area of the shaded sector? 32 85 96 256.

Mathematics
1 answer:
statuscvo [17]1 year ago
5 0

If the measure of central angle is 3π /4 radians, then the area off the shaded sector is 96π square units

The radius of the circle = 16 units

The central angle of the shaded region = 3π /4 radians

The area of the sector = (θ/ 360) × πr^2

Where θ is the central angle of the sector

r is the radius of the sector

Substitute the values in the equation

The area of the sector = ((3π /4) /360) × π × 16^2

Convert the radians to the degrees

= (135/360) × 256π

Multiply the terms

= 96π square units

Hence, the area of the shaded sector is  96π square units

The complete question is

The measure of central angle XYZ is 3 pie / 4 radians. What is the area of the shaded sector?

Learn more about area of the sector here

brainly.com/question/7512468

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50 squared equals 2 + 25 squared equals 2 * 5 equals 10 what is wrong
Klio2033 [76]

Convert to an equation:

50^2=2+25^2=2*5=10

Simplify:

2500=625=10=10

What is wrong is that 2500 does not equal 625 which does not equal 10.

7 0
3 years ago
Can somebody help me with this?
Juli2301 [7.4K]

Answer:

E) 1/2

Step-by-step explanation:

This is no ordinary problem. It actually requires you to solve two different problems in order to figure out the correct answer.

First, we must figure out what the hypotenuse of the triangle is. We have the two small sides (5 and 12), but don't have the larger side. To find this, we must use the Pythagorean theorem: a^{2} + b^2 =c^2

Let's plug in our a and b values

5^2 + 12^2 = C^2

Simplify

144 + 25 = c^2

169 = c^2

Square both sides

c = 13

But sadly, we aren't done yet. Now we know the length of the whole hypotenuse side. Time to figure out what X is by a simple equation.

12x + 14x = 13

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26x = 13

Divide by 26

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6 0
3 years ago
Solve each equation and check.show all work. ​
harina [27]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
A toy manufacturer wants to know how many new toys children buy each year. A sample of 305 children was taken to study their pur
Harrizon [31]

Answer:

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.8}{2} = 0.1

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.1 = 0.9, so Z = 1.28.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.28\frac{1.5}{\sqrt{305}} = 0.1

The lower end of the interval is the sample mean subtracted by M. So it is 7.6 - 0.1 = 7.5

The upper end of the interval is the sample mean added to M. So it is 7.6 + 0.1 = 7.7

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

8 0
3 years ago
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