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3 years ago

A circle with a radius of 5 has a sector with a central angle of 9/10pi radians what is the area of the sector

Mathematics

1 answer:

Snowcat [4.5K]3 years ago

6 0

Answer:

11.25pi units² or 35.3 units² (3 sf)

Step-by-step explanation:

½×r²×theta

½ × 5² × 0.9pi

11.25pi units²

Or, 35.3 units² (3 sf)

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A cut was made on each solid parallel to its base. Will the cut form a two-dimensional figure that is exactly the same shape as

ivolga24 [154]

Answer:

Step-by-step explanation: yes yes no yes no I think. I think it’s no for cylinder and cube bc if u cut them, it’ll be the same shape but also the same size

8 0

3 years ago

Christopher estimates it will take him half an hour to complete his math homework. He is able to complete it in 25 minutes. What

marin [14]

Answer:

The percent error in his estimate is<u> 16.67%</u>.

Step-by-step explanation:

Given:

Christopher estimates it will take him half an hour to complete his math homework.

He is able to complete it in 25 minutes.

Now, to find the percent error in his estimate.

Time estimates of completing homework = 30 minutes.

Time actual taken to complete homework = 25 minutes.

Error in estimate = Time estimates of completing homework - Time actual taken to complete homework.

Error in estimate = 30 minutes - 25 minutes.

Error in estimate = 5 minutes.

Now, to get the percent error:

$Percent\ error =\frac{Error\ in\ estimate}{Time\ estimates\ of\ completing\ homework} \times 100.$

$Percent\ error=\frac{5}{30} \times 100$

$Percent\ error=\frac{500}{30}$

$Percent\ error=16.67\%.$

Therefore, the percent error in his estimate is 16.67%.

6 0

3 years ago

Enter your answer and show all the steps that you use to solve this problem in the space provided. Find the values of x and y.

satela [25.4K]

Answer : The value of x and y is, $90^o$ and $43^oC$

Step-by-step explanation :

First we have to calculate the angle B.

As we know that,

The given triangle is an isosceles triangle in which the angles opposite to equal sides are always equal.

Thus, $\angle B=\angle C$

Given : $\angle C=47^o$

$\angle B=\angle C=47^o$

$\angle B=47^o$

Now have to calculate the angle A.

As we know that the sum of interior angles of a triangle is equal to $180^o$ .

$\angle A+\angle B+\angle C=180^o$

$\angle A+47^o+47^o=180^o$

$\angle A+94^o=180^o$

$\angle A=180^o-94^o$

$\angle A=86^o$

Now we have to determine the angle y.

As we know that, line AD is an angle bisector. That means, it divides into two equal angles. So,

$\angle y=\frac{\angle A}{2}$

$\angle y=\frac{86^o}{2}$

$\angle y=43^o$

Now we have to determine the angle x.

As we know that the sum of interior angles of a triangle is equal to $180^o$ .

$\angle y+\angle B+\angle x=180^o$

$43^oc+47^o+\angle x=180^o$

$\angle x+90^o=180^o$

$\angle x=180^o-90^o$

$\angle x=90^o$

Thus, the value of x and y is, $90^o$ and $43^oC$

6 0

2 years ago

Will Mark The Brainiest that is extra points aka FULL POINTS

valentina_108 [34]

Hello!

We can solve this by using substitution

we can plug y = x - 1 into the other equation

So 2x - 3( x - 1) = -1

We can distribute the -3 to (x - 1)

2x - 3x + 3 = -1

Combine like terms

-x + 3 = -1

Subtract 3 from both sides

-x = -4

Since x is negative we can multiply both sides by -1

x = 4

We can plug x into the first equation

y = (4) - 1

y = 3

The answers are x = 4 and y = 3

Hope this helps!

6 0

3 years ago

Read 2 more answers

-8, 22, 52, 82, ...<br> Find a 20

gladu [14]

Answer:

Step-by-step explanation:

It is an arithmetic sequence with common difference d = 30.

a₂₀ = a₁ + (20-1)d = -8 + 19·30 = 562

8 0

2 years ago