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If an angle is measured 35 degrees, what is the other angle if both angles are complementary?

$55^\circ$

$75^\circ$

$155^\circ$

$215^\circ$

$65^\circ$

Explanation

Complementary angles sum up to 90 degrees.

To find the other angle, subtract the known angle from 90 degrees.

The answer is:

Find the area of a square with a side of .

Explanation

Write the formula for the area of a square.

Substitute the side.

The answer is:

If two angles are complementary, and one angle is $75^{\circ}$ , what is the value of the other angle?

$15^{\circ}$

$105^{\circ}$

$30^{\circ}$

$285^{\circ}$

$150^{\circ}$

Explanation

Two angles are complementary if they add up to $90^{\circ}$ . We can use the formula:

$x+y=90^{\circ}$

where x and y are the angles.

Now, we know one angle is $75^{\circ}$ . So, we will substitute and solve for the other angle. We get

$x+75^{\circ}=90^{\circ}$

$x+75^{\circ}-75^{\circ}=90^{\circ}-75^{\circ}$

$x+0^{\circ} = 15^{\circ}$

$x=15^{\circ}$

What percentage of a circle is covered by a sector with a central angle of $240^{\circ}$ ?

Not enough information to determine.

Explanation

What percentage of a circle is covered by a sector with a central angle of $240^{\circ}$ ?

To find the percentage of a circle from the central angle, we need to use the following formula:

$%=\frac{\theta}{360^{\circ}}*100$

Where theta is our central angle.

Plug in our given degree measurement and simplify.

$%=\frac{240^{\circ}}{360^{\circ}}*100=66.67 %$

So, our answer is 66.67%

If an angle is measured 35 degrees, what is the other angle if both angles are complementary?

$55^\circ$

$75^\circ$

$155^\circ$

$215^\circ$

$65^\circ$

Explanation

Complementary angles sum up to 90 degrees.

To find the other angle, subtract the known angle from 90 degrees.

The answer is:

Determine the area of a circle with a radius of $9\sqrt{2}$ .

$162\pi$

$81\pi$

$\textup{The answer is not given.}$

Explanation

Write the formula for the area of a circle.

$A=\pi r^2$

Substitute the radius.

$A=\pi (9\sqrt{2})^2=\pi (9\sqrt{2})(9\sqrt{2}) = 81\cdot 2 \pi$

The answer is: $162\pi$

What percentage of a circle is covered by a sector with a central angle of $240^{\circ}$ ?

Not enough information to determine.

Explanation

What percentage of a circle is covered by a sector with a central angle of $240^{\circ}$ ?

To find the percentage of a circle from the central angle, we need to use the following formula:

$%=\frac{\theta}{360^{\circ}}*100$

Where theta is our central angle.

Plug in our given degree measurement and simplify.

$%=\frac{240^{\circ}}{360^{\circ}}*100=66.67 %$

So, our answer is 66.67%

Find the area of a circle with a diameter of $5\pi$ .

$\frac{25}{4}\pi^3$

$\frac{25}{4}\pi^2$

$\frac{25}{2}\pi^3$

$\frac{25}{2}\pi^2$

$\textup{The answer is not given.}$

Explanation

Write the area of a circle.

$A=\pi r^2$

The radius is half the diameter.

$r= \frac{d}{2} = \frac{5\pi}{2}$

Substitute the radius into the equation.

$A=\pi (\frac{5\pi}{2})^2=\pi (\frac{5\pi}{2})(\frac{5\pi}{2})$

The answer is: $\frac{25}{4}\pi^3$

Let $\pi = 3.14$

Find the area of a circle with a diameter of 8in.

$50.24\text{in}^2$

$200.96\text{in}^2$

$25.12\text{in}^2$

$153.86\text{in}^2$

$100.48\text{in}^2$

Explanation

To find the area of a circle, we will use the following formula:

$A = \pi \cdot r^2$

where r is the radius of the circle.

Now, we know $\pi = 3.14$ . We know the diameter of the circle is 8in. We know the diameter is two times the radius. Therefore, the radius is 4in. So, we substitute. We get

$A = 3.14 \cdot(4\text{in})^2$

$A = 3.14 \cdot 16\text{in}^2$

$A = 50.24\text{in}^2$

Use the following pie chart to answer the question:

Piechart

Which class has the lowest percentage of students?

$\text{History}$

$\text{Art}$

$\text{Math}$

$\text{Science}$

Explanation

Let's look at the pie chart.

Piechart

We can see it represents the percentage of students in each class. The legend on the right displays which color represents which class:

blue=Math

orange=Science

gray=Art

yellow=History

So, we will look at the percentages and find the smallest/lowest number. We see it is 19% and it is the yellow class. We know yellow represents History.

Therefore, History has the lowest percentage of students.

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