All categories

3 years ago

What is the measure of the central angle of a circle with radius 30 centimeters that intercepts an 18π centimeters arc?

1 answer:

8 0

The circumference of the circle when r=30 is C=60π
the arc is 18π, it is 18π/60π=3/10 of the whole circle
the arc is 3/10 of 360 degree, which is 108 degree
the central angle measures the same as the arc, 108 degree.

You might be interested in

Solve 5(x+9) - 4 = 71 for x

MrRissso [65]

Solving for x you would get X=6

7 0

3 years ago

Read 2 more answers

During each hour of exercise, Matthew drinks 1 cups of water. Matthew exercised for 14 hours this

Reil [10]

He drank 420 cups of water in one month

7 0

2 years ago

*WILL GIVE BRAINLIST TO WHO EVER IS RIGHT!*

Scorpion4ik [409]

Answer:g(X)=2x^2-10

Step-by-step explanation:

If a function f(x) is translated 'c' units down then the equation of the translated function be f(x)-c

Here, f(x) is translated 2 units down to obtain g(x).

Hence, we have

g(x)=f(x)-2

=2x^2-8-2

=2x^2-10

8 0

2 years ago

Given a function <img src="https://tex.z-dn.net/?f=f%28x%29%3D3x%5E4-5x%5E2%2B2x-3" id="TexFormula1" title="f(x)=3x^4-5x^2+2x-3"

Levart [38]

Answer:

$\huge\boxed{f(-1) = -7}$

Step-by-step explanation:

In order to solve for this function, we need to substitute in our value of x inside to find f(x). Since we are trying to evalue f(-1), we will substitute -1 in as x to our equation.

$f(-1) = 3(-1)^4 - 5(-1)^2 + 2(-1) - 3$

Now we can solve for the function by multiplying/subtracting/adding our known values.

Starting with the first term to the last term:

$3(-1)^4 = 3$

WAIT! How is this possible? $-1^4 = -1$ (according to my calculator), and $3 \cdot -1 = -3$ , not 3!

It's important to note that taking a power of a negative number and multiplying a negative number are two different things. Let's use $-2^2$ as an example.

What your calculator did was follow BEMDAS since it wasn't explicitly told not to.

BEMDAS:

- Brackets

- Exponents

- Multiplication/Division

- Addition/Subtraction

Examining the equation, your calculator used this rule properly. Note that exponents come over multiplication.

So rather than being "-2 squared" - it's "the negative of of 2 squared."

Tying this back into our problem, the squared method would only be true if it looks like $-1^4$ . However, since we're substituting in -1, it looks like $(-1)^4$ , so the expression reads out as "-1 to the fourth."