The radius of the sector of the circle with the given area is: B. 3.
<h3>What is the Area of a Sector?</h3>
Area of sector of a circle = ∅/360 × πr².
Given the following:
Area of sector = 9/8 π cm².
∅ = 45 degrees
Plug in the values into the formula
9/8π = 45/360 × πr²
1.125 = 0.125 × r²
1.125/0.125 = r²
9 = r²
r = 3 cm
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Answer:
(x+6)(x−6)=0
x=-6 or x=6
Step-by-step explanation:
X^2 - 36 = 0
Solve by Square Root
add 36 both sides
x^2−36+36=0+36
x^2=36
square root
x=±√36
x=6 or x=−6
You can do that or for 2nd option
Solve by factoring
x^2-36=0
(x+6)(x−6)=0
Set factors equal to 0
x+6=0 or x−6=0
x=-6 or x=6
PLEASE NOTE: 36 is the square of 6
and
x2 is the square of x1
Answer:
<u>600 meters</u>
Step-by-step explanation:
<u>Case 1 : Speed of 1 m/s</u>
- d = v * t
- d = 1 * t
- d = t [Equation 1]
<u>Case 2 : Speed of 1.5 m/s</u>
- d = v * t
- d = 1.5 * (t - 200)
- d = 1.5t - 300 [Equation 2]
As distance in both cases is the same, equate the values of d from both equations.
- t = 1.5t - 300
- 0.5t = 300
- t = 300 * 2
- <u>t = 600 s</u>
Now, put the value of t in <u>Equation 1</u> to find d.
Answer:
The probability is 1/30 or 0.0333
Step-by-step explanation:
For calculating the probability we need to make a division between the number of ways in which the first boy born is named Sam and the second boy born is named Mark and the total number of ways in which the couple can name their children.
To calculate the total number of ways in which the couple can name their children, we can use the rule of multiplication as:
<u> 6 </u> * <u> 5 </u> = 30
First boy Born 2nd Boy Born
Because we have 6 options for the name of the first boy and 5 options for the name of the second boy.
Additionally, In just one option from this 30, the first boy is named Sam and the second is named Mark.
So, the probability is calculate as the division between 1 and 30 as:
Answer:
Step-by-step explanation:
There aren't any choices, but I'd guess that she'd use pint or cup.
