A circle has a radius that is 4 centimeters long. if a central angle has a measure of 3 radians what is the length of the ark that corresponds in the angle?

Answers

Answer 1

Answer: There's a ratio that holds for arc lengths:

$\frac{\text{arc length}}{\text{measure of angle subtended by arc}}=\frac{\text{circumference}}{\text{one full revolution}}$

Denote the arc length by $L$ and the angle subtended by it by $\theta$ . Then given a circle of radius $r$ , this relation says

$\frac L\theta=(2\pi r)/(2\pi)=r\implies L=r\theta$

So, the arc length in this case is simply

$L=4\text{ cm}*3=12\text{ cm}$

Answer 2

Answer:

Answer:

Step-by-step explanation:

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Madeline usually makes 85% of her shots in basketball. If she attempts 20, how many will she likely make?

Answers

20 x 85% = 17. She should make 17 shots.

Find the area of the blue shaded figure.25 mm
120 mm
I’m begging atp. Please help me

Answers

area of blue shaded figure = area of big circle minus small circle

radius of big circle = 60mm

area of big circle= πr² = check pic

Which two numbers multiply to 24 and add to 2?

Answers

Final answer:

The two numbers that multiply to 24 and add to 2 are -4 and -6. You can find these through the process of elimination with the equations x*y=24 and x+y=2.

Explanation:

The two numbers that multiply to 24 and add to 2 are -4 and -6. Let's find out how:

First, you should write down the equation based on the question, x*y=24 (x and y are the two numbers).
Then, form another equation according to the question, x+y=2.
Now, solve these two equations. With some trial and error, you will find the two numbers are -4 and -6, because (-4)*(-6)=24 and -4+-6=2.

Note that the two numbers are negative which is why they add to a positive number when multiplied.

Learn more about Simultaneous equations here:

brainly.com/question/30319215

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What is 3-3×6+2 please help me

Answers

the answer to that is 2 can u plz place this answer as brainliest, thanks!

3-3X6+2

PEMDAS
3-(3X6)+2
3-(9)+2
3-(11)
= -8
I THINK? I HOPE....

There were 480 people at play. The admission price was $2 for adults and $1 for children. The admission receipts were $770. How many adults and how many children attended?

Answers

Answer:

290 adults and 190 children attended the Play.

Step-by-step explanation:

Given:

Total number of people in play = 480

Let the number of adults be x

and Number of children be y

Hence we can write the equation as;

$x+y=480 \ \ \ \ equation \ 1$

Also Given:

Price for 1 adult = $2

Price for 1 children = $1

Total admission receipts = $770

Hence we can write the equation as;

$2x+y =770 \ \ \ \ equation \ 2$

Now We will subtract equation 1 from equation 2 we get;

$(2x+y)- (x+y) =770-480\n2x+y-x-y= 290\nx= 290$

Now substituting the value of x in equation 1 we get;

$290+y =480\ny =480 -290\ny= 190$

Hence 290 adults and 190 children attended the Play.

Final answer:

The problem is solved by creating two equations based on the given information and solving the system of equations to find that there were 290 adults and 190 children who attended the play.

Explanation:

To solve the problem of determining how many adults and children attended the play, we need to set up a system of equations.

Let A be the number of adults and C be the number of children who attended the play. We are given two pieces of information:
The total number of people at the play was 480, which gives us the equation A + C = 480.

The total amount of money collected from admissions was $770. Since adults pay $2 and children pay $1, the equation is 2A + C = 770.

Now we have a system of two equations:
A + C = 480

2A + C = 770

To solve this system, we can subtract the first equation from the second equation to eliminate C:

2A + C - (A + C) = 770 - 480

which simplifies to:

A = 290

Now, plug A = 290 into the first equation to find C:

290 + C = 480

Subtract 290 from both sides:

C = 190

So, there were 290 adults and 190 children at the play.