Answer: 8π square meters
Explanation:
First, we convert the angle of the sector to radians, which is 30 degrees.
Note that 180 degrees is equal to π radians. Since 30 degrees is equal to 180 degrees divided by 6,
30 degrees = π/6 radians
Thus, the angle of the sector in radians is π/6.
So, the area of the sector is given by
(Area of sector) = (1/2)(radius)²(angle of the sector in radians)
= (1/2)(radius)²(π/6)
= (π/12)(radius)²
= (1/12)(π)(radius)²
Note that
(Area of the circle) = (π)(radius)² = 96π
Therefore, the area of the 30-degree sector is given by
(Area of the sector) = (1/12)(π)(radius)²
= (1/12)(Area of the circle)
= (1/12)(96π)
(Area of the sector) = 8π square meters
(7a-b+3)-(-2a-8b+8)
Apply plus/minus rule.
-(-a)= a and -(a)=-a
we get
(7a-b+3)-(-2a-8b+8)= 7a-b+3+2a+8b-8
Add like terms
=9a+7b-5
Answer: 9a + 7b - 5
Work shown above! Answer should be D!
Parent Function:
f
(
x
)
=
|
x
|
Horizontal Shift: Left
2 Units
Vertical Shift: Up
2 Units
Reflection about the x-axis: None
Vertical Stretch: Stretched
Answer:
1.08 seconds
Step-by-step explanation:
given data
<u>first equation:</u>
According to the data, sharon position will be
h(t)= -16 
+ 4t +18---->eq(1)
<u>Second equation;</u>
When Sharon jumps, Megan throws a beach ball up to Sharon with an initial upward velocity of 16 ft/s from a height 5 feet off the ground to the nearest hundredth of a second
therefore, ball position would be
h(t)= -16 +16t +5 --->eq(2)
In order to find how long after she jumps does the ball reach Sharon i.e time, we will equate eq(1) and eq(2)
Therefore,
eq(1)= eq(2)
-16 +4t +18 = -16 + 16t +5 --->(further simplifying it)
-16 + 16 + 18 -5 = 16t - 4t
13 = 12t
t= 13/12
t= 1.08 s
Thus it took 1.08 seconds.
