15 is 37.5% of 40
<em>Equation: Y = P% * X</em>
<em />
P% = Y/X
P% = 15/40
p = 0.375
0.375 × 100 = 37.5%
Answer:
Below in bold.
Step-by-step explanation:
a. h after 4 seconds:
h = -16(4)^2 + 256(4)
= -256 + 1024
= 768 ft
b. When the height is 1008 ft
1008 = -16t^2 + 256t
16t^2 - 256t + 1008 = 0
16(t^2 - 16t + 63) = 0
16(t - 7)(t - 9) = 0
t = 7, 9
So it will take 7 seconds to rise to 1008 feet and and after 9 seconds it will pass 1008 on the way down
So the times are 7, 9 seconds.
c. When the ball reaches the ground h = 0:
-16t^2 + 256t = 0
-16t(t - 16) = 0
t - 16 = 0
t = 16 seconds.
Answer:
1. $427.50
2. 50 hours
Step-by-step explanation:
1. First, find your salary at minimum hours, which is $360. Then, take your second equation, plug in 45, and solve using PEMDAS. This will give you $427.50
2. To solve this, you'll need to set it up like so:
495 = 13.5 (x - 40) + 360
Your next step will be to distribute the number outside the parentheses. This will give you:
495 = 13.5x - 540 + 360
Simplify, like so:
495 = 13.5x - 180
Solve.
495 = 13.5x - 180
+180 +180
This will give you:
675 = 13.5x
Divide each side.
675 = 13.5x
------ -------
13.5 13.5
50 = x
Answer: The measure of the major arc is 68 degrees plus the measure of the small arc.
In the problem given, we don't know all the needed measurements (is there a diagram?). Therefore, we can find an expression for the answer, not the value itself.
The angles are related with the following expression.
Outside Angle = 0.5(Major Arc - Minor Arc)
Solving for the major arc gives us.
34 = 0.5(y - x)
68 = y - x
68 + x = y
Since we have the triangle, but don't know which side 4 is on, we have one where x is opposite a 50 degree angle (they are the same if across either 50 degree side) and another across the 80 degree one. In addition, it's really ratios and sin/cos/tan from there!
