All categories

3 years ago

Find the area of the circle with the given diameter. d = 28 inches

Mathematics

1 answer:

alexdok [17]3 years ago

4 0

Answer: 196pi in.^2

Step-by-step explanation:

Divide the diameter by two.

You would get 14, then square it, you would get 196.

You might be interested in

What’s the slope of the line?

katen-ka-za [31]

Answer:

-3/4

Step-by-step explanation:

1. Slope = rise/run

rise = -3

run = 4

-3/4

5 0

2 years ago

Find the missing sides.

love history [14]

Answer:

Part 3)

$x=6\ units$

$y=3\ units$

Part 4) $x=18\sqrt{2}\ units$

Step-by-step explanation:

Part 3)

Find the value of x

In the right triangle of the figure we know that

The cosine of angle of 30 degrees is equal to the adjacent side to angle of 30 degrees divide by the hypotenuse

$cos(30\°)=\frac{3\sqrt{3}}{x}$

and remember that

$cos(30\°)=\frac{\sqrt{3}}{2}$

substitute

$\frac{\sqrt{3}}{2}=\frac{3\sqrt{3}}{x}$

Simplify

$x=(2*3)=6\ units$

Find the value of y

In the right triangle of the figure we know that

The sine of angle of 30 degrees is equal to the opposite side to angle of 30 degrees divide by the hypotenuse

$sin(30\°)=\frac{y}{x}$

and remember that

$sin(30\°)=\frac{1}{2}$

substitute

$\frac{1}{2}=\frac{y}{6}$

$y=6/2=3\ units$

Part 4) Find the value of x

Applying the Pythagoras Theorem

$x^{2} =18^{2} +18^{2} \\ \\x^{2} = 324+324\\ \\x^{2}=648\\ \\x=\sqrt{648}\ units$

Simplify

$x=18\sqrt{2}\ units$

6 0

2 years ago

Plzzz!!!!!!!! Help me !!!!!!!!!

Sergio039 [100]

Answer:

The answer after division is: $2\frac{2}{5}$

Step-by-step explanation:

The given question involves two mixed fractions that are being divided.

$7\frac{1}{2}\div 3\frac{1}{8}$

First of all, we will convert the fractions into proper fractions

$\frac{15}{2}\div \frac{25}{8}$

When the division is performed, the second fraction is reversed

So dividing gives us:

$\frac{15}{2} * \frac{8}{25}\\= \frac{3*4}{5}\\=\frac{12}{5} = 2\frac{2}{5}$

Hence,

The answer after division is: $2\frac{2}{5}$

3 0

2 years ago

Write the slope intercept form of the equation.

Elza [17]

Hello!

The slope intercept form equation is shown below.

y=mx+b

In this equation, m represents the slope and b is the y-intercept.

We can just plug in our numbers to find our answer.

y=3x-2

I hope this helps!

4 0

3 years ago

Angela decides to recycle a large oatmeal container by using it to hold a friends birthday gift. Then she wraps the container in

Deffense [45]

Answer:

D. 135.37 in²

Step-by-step explanation:

We have that the gift paper consists of two circles and a square.

Thus, we will need to find the area of the circles and the square.

Now, as the diameter of the circle = 4 inches

So, the radius of the circle = $\frac{4}{2}$ = 2 inches

Since, the area of a circle = $\pi r^{2}$

This implies that area of the two circles = $2\times \pi r^{2}$

i.e. Area of the circles = $2\times \pi 2^{2}$

i.e. Area of the circles = $8\pi$

i.e. Area of the two circles = 25.133 in²

Further, one side of the square = 10.5 inches

Thus, the area of the square = $side^{2}$

i.e. Area of the square = $10.5^{2}$

i.e. Area of the square = 110.25 in²

So, the overall area of the gift paper = 25.133 + 110.25 = 135.37 in².

Hence, the amount of paper used by Angela is 135.37 in².

7 0

3 years ago