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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.

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Factor using greatest common factor 24x-18

sukhopar [10]

take a factor of 6 out to make 6(4x-3)

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3 years ago

What is the size of angle x ? <br> And give a reason

Serggg [28]

Answer:

x = 75°

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2 years ago

The function f(x)=(x-5)^2 +2 is not one-to-one. Identify a restricted domain that makes the function one-to-one, and find the in

Anon25 [30]

We have been given a quadratic function $f(x)=(x-5)^{2} +2$ and we need to restrict the domain such that it becomes a one to one function.

We know that vertex of this quadratic function occurs at (5,2).

Further, we know that range of this function is $[2,\infty)$ .

If we restrict the domain of this function to either $(-\infty,5]$ or $[5,\infty)$ , it will become one to one function.

Let us know find its inverse.

$y=(x-5)^{2}+2$

Upon interchanging x and y, we get:

$x=(y-5)^{2}+2$

Let us now solve this function for y.

$(y-5)^{2}=x-2\\
y-5=\pm \sqrt{x-2}\\
y=5\pm \sqrt{x-2}\\$

Hence, the inverse function would be $f^{-1}(x)=5+\sqrt{x-2}$ if we restrict the domain of original function to $[5,\infty)$ and the inverse function would be $f^{-1}(x)=5-\sqrt{x-2}$ if we restrict the domain to $(-\infty,5]$ .

8 0

2 years ago

Alyssa used 12 gallons of white paint for the ceiling of her kitchen and 13 gallons of white paint for her bedroom. She used

Arturiano [62]

She used 10 more gallons of green paint

Hope this helps if it does yourwelcome

6 0

2 years ago

Can someone help me with this?

creativ13 [48]

The missing values are 28° and 62°

<h3>What are perpendicular lines?</h3>

Perpendicular lines are said to be two lines that intersect or meet each other at right angles, that is 90 degrees.

From the information given, we have that;

Line AC ⊥ Line BE

Where:

m ∠ ADE = (x + 5)°
m ∠ DBE = (3x - 7)°

Hence,

x + 5 + 3x - 7 = 90

collect like terms

4x = 90 + 2

4x = 92

Make 'x' the subject

x = 92/ 4

x = 23

For the missing values

m ∠ ADE = (x + 5)° = ( 23 + 5) = 28°

m ∠ DBE = (3x - 7)° = (3(23) - 7) = 62°

Thus, the missing values are 28° and 62°

Learn more about perpendicular lines here:

brainly.com/question/17683061

#SPJ1

8 0

1 year ago