Answer:
around 1.5 sec
Step-by-step explanation:
basically you wanna figure out at what time is the height=0
since h(t) represents height, set it to 0 then solve for t
i believe you might have forgotten the t in the equation so i assumed it was -167t
0=-167t+256
-256=-167t
t=1.53293413174
around 1.5 seconds after it was dropped
alternatively, you could plug the equation into desmos, replacing h(t) with y and t with x and find the x intercept
Answer:
<2.1130913087, 4.53153893518>; <−3.03108891325, −1.75>; <−0.91799760455, 2.78153893518>
Step-by-step explanation:
Bruce's vector is <5cos(90-25), 5sin(90-25)> = <5cos(65), 5sin(65)> ≈ <2.1130913087, 4.53153893518>
The wind's vector is <3.5cos(270-60), 3.5sin(270-60)> = <3.5cos(210), 3.5sin(210)> ≈ <−3.03108891325, −1.75>
You add them together to find his actual motion:
<−0.91799760455, 2.78153893518>
Remark
pi/4 is between 0 and pi/2 which means that pi/4 is in the first quadrant.
5*pi / 4 is between pi and 3/2 pi which means that the angle is in the third quadrant.
So you are talking about one two angles that are in the first and third quadrants.
Step One
Find the Tangent of pi/4 using the unit circle as a reference.
Since pi/4 is 1/2 way between 0 and pi/2 you are referring to something that has and x value of 0.707 for an x value and 0.707 for a y value. (They are equal)
That is the point where the opposite / adjacent = 0.707/0.707 = 1
Step Two
Find the tangent of 5pi/4 using the unit circle.
Using the same argument as pi/4 this time the opposite / adjacent = -0.707/-0.707 = 1 ( the two minus signs cancel out.)
Answer:
Paula get 
and Kawai get 
.
Step-by-step explanation:
Given: Paula and Kawai shared 
in the ratio of 
.
To find: How much money did each person get?
Solution:
We have,
Paula and Kawai shared in the ratio of .
So, let Paula get 
and Kawai get 
.
As per the question,
Therefore, Paula get 
, and Kawai get 
.
Hence, Paula get and Kawai get .
