<h2>
Answer:</h2>

<h2>
Step-by-step explanation:</h2>
The origin of the coordinate system is the center of the circle. So we have an angle that measures
. so the x-coordinate and y-coordinate can be found, by using trigonometry as follows:

Finally, the exact value of the position of the rider after the carousel rotates
radians is:

Answer:
A≈1075.21
d Diameter
37
d
r
r
r
d
d
C
A
Using the formulas
A=
π
r
2
d=
2
r
Solving forA
A=
1
4
π
d
2
=
h1
4
π
37
2
≈
1075.21009
Step-by-step explanation:
Answer:
A) 2
Step-by-step explanation:
Answer:
x = 34
Step-by-step explanation:
ΔABD and ΔBCD are both isosceles triangles
In ΔABD
AB =AD, hence ∠ABD = ∠ADB ( base angles are equal )
∠ABD =
=
= 68°
∠DBC = 180° - 68° = 112° ( straight angle )
∠BCD = x =
=
= 34
Answer:
Step-by-step explanation:
The number of defective laptops = 6/145 * 100 as a percent.
The number of defective laptops = 4.13% in a sample of 145
A: False. The percentage should be the same for 290 laptops. The % does not change. The number of defective laptops will change (12)
B: True. It is a reason assertion that about 4% of all laptops will be defective.
C: True. It is not reasonable to assume that only 0.5 laptops will be defective. .5% is too small.
D: True. 10% is too high.
E: False. The variation should not be much.