Answer: -3π/2
Step-by-step explanation:
The unit circle is tricky, but here are some things to know:
- When measuring angles, you usually move in the counter-clockwise direction. If you are moving clockwise (like shown in your picture), the angle will be negative.
- The unit circle is typically measured in radians, not degrees
- To convert from radians to degrees, multiply by 180/π
- To convert from degrees to radians, multiply by π/180
- The whole unit circle measures 2π (360 degrees). This means that the positive x-axis can be referred to as 0 or 2π, the positive y-axis is referred to as π/2, the negative x-axis is referred to as π, and the negative y-axis is referred to as 3π/2.
-If the angle is negative, switch the signs of the axis above.
The information above is all you need to answer the above question, but if you want/need anything else on the unit circle, just let me know.
Answer:
180feet
Step-by-step explanation:
Given the function that models the height of a ball
s(t) = 144 + 48t − 16t^2.
At maximum height, the velocity is zero ie. ds/dt = 0
ds/dt = 48 - 32t
0 = 48 - 32t
48 = 32t
t = 48/32
t = 1.5secs
Get the maximum height
s(t) = 144 + 48t − 16t^2.
s(1.5) = 144 + 48(1.5)-16(1.5)^2
s()1.5) = 144 + 72 - 16(2.25)
s(1.5) = 144 + 72-36
s(1.5) = 180 feet
Hence the maximum height attained by the ball is 180feet
Answer:
the answer is c. 6:4:3
Step-by-step explanation:
a=6; b=4; c=3
So basically, first just do this step by step, or subtract 38 from 26 first.
26 - 38 is basically -(38 - 26), or -12.
So then, it becomes -12 + (-3)
A - and a + becomes - because you're adding negative 3.
-12 - 3
Which then becomes -15.
A boy stands 1 meter away from a lamppost. He is 1.8 meters tall and casts a shadow 2 meters long in the light from the lamp
The diagram is attached below using the given information
We have two similar triangle
Triangle ACD is similar to triangle ABE. So the sides are in proportional

AC = AB + BC = 3m

2x = 1.8 * 3 (cross multiply)
2x = 5.4
Divide by 2 on both sides
x = 2.7
Height of Lamppost is 2.7 meter