Answer:

Step-by-step explanation:
u = Initial velocity of baseball
= Angle of hit = 
x = Displacement in x direction = 400 ft
y = Displacement in y direction = 15 ft
= Height of hit = 2.5 ft
= g = Acceleration due to gravity = 
t = Time taken
Displacement in x direction

Displacement in y direction

The minimum initial velocity needed for the ball to clear the fence is 
To find the value of x we first need to find the missing angle in the triangle.
To do that we are gonna add the angles we already have.
64 + 45 = 109
Angles in a triangle measures 180 so to get the missing angle we are gonna subtract 109 from 180
180 - 109 = 71 deg
The missing angle in the triangle is 71 deg
Angles on a straight line adds up to 10 so to find x we are gonna subtract 71 from 180
180 - 71 = 109 degrees
Therefore x is 109 degrees.
Answer:
x=ln(41)/ln(243)
Step-by-step explanation:
20(3)^5x=820
3^5x=820/20
3^5x=41
5x=ln(41)/ln(3)
x=(1/5)[ln(41)/ln(3)]
x=ln(41)/ln(3^5)
x=ln(41)/ln(243)
3x * 3x = 9x
9x + 6 - 2x + 5x - 4x^2 + 9
9x + 6 - 7x - 4x * 4x + 9
9x + 6 - 7x - 16x + 9
9x + -7x = 2x + 6 - 16x + 9
2x + 6 - 16x + 9
2x + (-3) - 16x
-14x + (-3) is the expression?
Answer:
<h3>1/8</h3>
Step-by-step explanation:
Given the expression

Using the following laws of indices;

The expression becomes;
Step 1: Multiplication rule

Using the division rule of exponent (Quotient of powers);

Hence the result of the expression is 1/8