Answer:
a=ln(28.37)
Step-by-step explanation:
e^a=28.37
Take ln both sides
ln(e^a)=ln(28.37)
a=ln(28.37)
Answer: About 3.06
Step-by-step explanation:
We can use trigonometry functions to solve for AC. Let the ?, representing AC, be "x" in our mathematical work.
Since we have the hypotenuse and x is adjacent to the angle given, I am going to use cosine.
cos(θ) = 
cos(40) = 
0.766 ≈
3.06 ≈ x
x ≈ 3.06
The answer if you need helo with math like this come to me -25
Answer:
m<6 is 102°
Step-by-step explanation:
Angles that are supplementary are equal to a total of 180°.
Subtract the 78 from the 180 to find your answer.
180-78=102
Answer:
39.0625 ft
Step-by-step explanation:
Since the function is a quadratic representing height, and the coefficient of the t² is negative, the vertex of the parabola will be the maximum height achieved by the ball.
The general form for a quadratic equation is ax² + bx + c, here a is -16, and b is 50
To find the x coordinate of the vertex, use x = -b/(2a)
We have x = -50/[2(-16)]
x = -50/-32
x= 25/16
Now plug that into the equation to find the y value, which will be the height...
y = 50(25/16) - 16(25/16)²
y = 1250/16 - 16(625/256)
y = 1250/16 - 625/16
y = 625/16
y = 39.0625
