The correct answer is B) 9 m.
The measure of the sector of circle R is 32π/9 m. The measure of the central angle is 80°. This means that the sector is 80/360 = 2/9 of the circle. The area of a circle is given by A=πr², so the area of the sector is A=2/9πr². To verify this, 2/9π(4²) = 2/9π(16) = 32π/9.
Using this same formula for circle S, we will work backward to find the radius:
18π = 2/9πr²
Multiply both sides by 9:
18*9π = 2πr²
162π = 2πr²
Divide both sides by 2π:
162π/2π = 2πr²/2π
81 = r²
Take the square root of both sides:
√81 = √r²
9 = r
Answer:
Not equivalent
Step-by-step explanation:
Distribute the negative in the parentheses. It basically multiplying everything inside by -1.
add like terms
Not equivalent since the 6x is positive
Find the gradient:
m = y2-y1 / x2-x1
m = 6-(-4) / 0-1
m = 10 / -1
m = -10
Slope intercept form:
y = mx + c
Input the values from one of the points to find c (imputing (1,-4) to y=mx+c):
-4 = -10(1) + c
-4 = -10 + c
c = -4 + 10
c = 6
Therefore, the equation is:
y = -10x + 6
Answer:
<h2><em>Option</em><em> </em><em>A</em><em> </em><em>1</em><em>1</em><em>0</em><em>degree</em><em> </em><em>is</em><em> </em><em>the</em><em> </em><em>answer</em><em> </em></h2>
Answer:
x=17, x=-7
Step-by-step explanation:
Step 1 :
Rearrange this Absolute Value Equation
Absolute value equalitiy entered
|x-5|-2 = 10
Another term is moved / added to the right hand side.
|x-5| = 12
Step 2 :
Clear the Absolute Value Bars
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is |x-5|
For the Negative case we'll use -(x-5)
For the Positive case we'll use (x-5)
Step 3 :
Solve the Negative Case
-(x-5) = 12
Multiply
-x+5 = 12
Rearrange and Add up
-x = 7
Multiply both sides by (-1)
x = -7
Which is the solution for the Negative Case
Step 4 :
Solve the Positive Case
(x-5) = 12
Rearrange and Add up
x = 17
Which is the solution for the Positive Case
Step 5 :
Wrap up the solution
x=-7
x=17
