Answer:
It takes 1.323 seconds for the ball to fall by 36 feet
Step-by-step explanation:
The height of the ball dropped from a height of 64 ft is modeled by the equation:
h(t) = -16t² + 64 where t is the time in seconds.
To find the time it takes to fall 36 ft, we substitute h(t) too be 36 ft and then solve the resulting quadratic function.
Substituting h(t) to be 36 ft:
36 = -16t² + 64
multiply through by -1
-36 = 16t² - 64
add 36 to both sides
16t² -64 + 36 = -36 + 36
16t² - 28 = 0
add 28 to both sides
16t² - 28 + 28 = 0 +28
16t² = 28
Divide both sides by 28
16t²/16 = 28/16
t² = 1.75
Find squre root of both sides
√t² = √1.75
t = 1.323 seconds
It takes 1.323 seconds for the ball to fall by 36 feet
Answer:
Step-by-step explanation:
The given trigonometric equation is 
.
We can either use the Pythagorean identity or the right angle triangle to solve for 
.
According to the Pythagorean identity,
Recall that, the cosine function is an even function, therefore
.
We substitute this value in to the above Pythagorean identity to get;
But we were given that,
, so we choose the negative value.
The correct answer is B
1 hour and 10 minutes = 70 total minutes
The aerobics class is 20 minutes and then since the yoga class is 30 minutes longer it will then be 50 minutes.
20 minutes aerobic+50 minutes yoga= 70 total minutes
The fraction computed shows that the number of his next 20 free-throw attempts that you expect Vijay to miss is 15.
<h3>How to solve the fraction?</h3>
From the information given, Vijay missed 12 out of his last 16 free throws. The fraction missed will be:
= 12/16
= 3/4
Therefore, the number of his next 20 free-throw attempts that you expect Vijay to miss will be:
= 3/4 × 20
= 15
Learn more about fractions on:
brainly.com/question/78672
