Surface area is the sum of the areas of all the faces of the solid figure. Finding surface area of solid figure is like finding how much wrapping paper that is required to cover the solid; it is the area of the outside faces of a box. ... Volume is the amount of space inside of the solid figure.
Answer:
- 1.875 seconds to reach the maximum height
- 62.25 ft
Step-by-step explanation:
The problem can be solved by putting the equation into vertex form.
s - 6 = -16(t^2 -15/4t)
s -6 -16(15/8)^2 = -16(t^2 -15/4t +(15/8)^2) . . . . add the square of half the x-coefficient inside parentheses and equivalent amount on the other side of the equation
s -62.25 = -16(t -15/8)^2 . . . . write as a square, simplify the constant
s = -16(t -1.875)^2 +62.25 . . . . put in vertex form
The vertex of the downward-opening parabola is at (t, s) = (1.875, 62.25).
1. It took 1.875 seconds for the ball to reach its maximum height.
2. The ball went up to 62.25 feet.
Isolate the trig function and move the rest of the equation to the other side of the equals sign. Then, work backwards to find the angle. From that, you can find the tangent function. This just simplified the equation, so finally, just solve.
Answer:
m∠WXY + m∠YXZ = 180°
Replacing with the real values:
75° + m∠YXZ = 180°
m∠YXZ = 180° - 75°
<u>m∠YXZ = 105°</u>
Step-by-step explanation:
1. Let's review all the information provided to us to answer the question correctly:
∠WXY and ∠YXZ are supplementary angles
m∠WXY=75°
2. Prove : m∠YXZ=105°
Let's recall that supplementary angles are those angles whose sum is 180 degrees. Therefore,
m∠WXY + m∠YXZ = 180°
Replacing with the real values:
75° + m∠YXZ = 180°
m∠YXZ = 180° - 75°
<u>m∠YXZ = 105°</u>