All categories

3 years ago

A circle has a central angle EOG that measures 60° and a radius 15 feet what is the length of the intercepted arc E.G.

Mathematics

1 answer:

sashaice [31]3 years ago

6 0

Arc length = radius * central angle (radians)
60 degrees = PI/3 radians
arc length = 15 * PI/3
arc length = 5 * PI

You might be interested in

The bakery owner will use both machines to glaze a total of doughnuts. She plans to start both machines at the same time. Based

creativ13 [48]

Answer:

Step-by-step explanation:

5 0

3 years ago

What is the length of the diagonal, d, of the rectangular prism shown below?

vodomira [7]

Answer:

<h2>The diagonal of the volumetric figure is 7 units long.</h2>

Step-by-step explanation:

The figure is attached.

Notice that the dimensions of the prism are

$w=2\\l=3\\h=6$

First, we need to find the diagonal of the rectangular face on the base, this diagonal of the base is part of the right triangle formed by the diagonal of the volume, that's why we need it.

Let's use the Pythagorean's Theorem

$d_{base}=\sqrt{2^{2} +3^{2} }=\sqrt{4+9}=\sqrt{13}$

This diagonal of the base is a leg in the right triangle formed by the diagonal of the volume.

Let's use again Pythagorean's Theorem

$d_{volume}=\sqrt{(\sqrt{13} )^{2} +(6)^{2} } =\sqrt{13+36}=\sqrt{49}\\ d_{volume}=7 \ units$

Therefore, the diagonal of the volumetric figure is 7 units long.

8 0

3 years ago

A pharmacist added 50 g of drug to make a total of 200 mL of solution. What is the percentage of drug in the resultant solution?

Bad White [126]

Answer: 25%

Step-by-step explanation:

Given : A pharmacist added 50 g of drug to make a total of 200 mL of solution.

Here, Resultant solution = 200 mL

Amount of drug = 50 g

We know that 1 gram = 1 ml

So, we can say the amount of drug = 50 ml

Now, the percentage of drug in the resultant solution:-

$\dfrac{50}{200}\times100=25\%$

Hence, the percentage of drug in the resultant solution= 25%

6 0

3 years ago

The distance between Cincinnati, OH and Charlotte, North Carolina is about 336 miles. The distance between Cincinnati and Chicag

ElenaW [278]

Cincinnati Ohio à<span> Charlote North CA = a total of 336 miles
Cincinnati </span>à<span> Chicago Illinois = a total of 247 miles
Perry drove from Charlote to Chicago by passing Cincinati. Find the distance she drove.
=> Note that the distance from charlotte to Cincinnati is 365 then from Cincinnati to Chicago is 247
=> 336 miles + 247 Miles
=> 583 miles
Penny drove for a total of 583 miles from Charlotte to Cincinnati to Chicago.</span>

3 0

3 years ago

I need help please and thank you ( show your work please)

SpyIntel [72]

Answer:

2x+5

Step-by-step explanation:

if you look at the x and the y coordinates, you'll see that if you multiply the 'x' coordinate by 2 and then add 5, you get the y coordinate

7 0

2 years ago