Answer:
1) 270 degrees
2) pi/4 rad
Step-by-step explanation:
1.) For which value of theta is sine theta = negative 1?
Given
sintheta = -1
theta = arcsin(-1)
theta = -90degrees
Since sin is negative in the third and 4th quadrant
In the third quadrant, theta = 180 + 90 = 270degrees
In the fourth quadrant, theta = 360 - 90 = 270 degrees
Hence the required value of theta is 270degrees
2) Given the radius of the circle to be 1, the y axis value will also be 1 units
Opposite = 1
adjacent = 1
hyp = √1²+1²
hyp = √2
sin theta = opp/hyp
sin theta = 1/√2
theta = arccsin(1/√2)
theta = 45 degrees
Express in radians
45 degrees = pi/4 radians
Hence the required angle in the first quadrant is pi/4 rad
Answer:
54 years old
Step-by-step explanation:
You have to subtract his age from the total. 67-13=54
It costs $3.83 per package of gatorade.
11.49 = 3 packages. Divide 11.49 by 3 which results in $3.83.
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Answer:
The height of the prism is 
Step-by-step explanation:
step 1
Find the area of the base of the pyramid
The volume of the pyramid is equal to
where
B is the area of the base of pyramid
h is the height of the pyramid
we have
substitute and solve for B
step 2
Find the height of the prism
The volume of the prism is equal to
where
B is the area of the base of prism
h is the height of the prism
we have
substitute and solve for h
Answer:
x= 91
y= 89
z= 31
when you add all 3 side it should equal 180 degree
