Answer:
see below
Step-by-step explanation:
given function: 
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Cosine - (In a right triangle, the ratio of the length of the adjacent side to the length of the hypotenuse.)
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#1: Take the inverse cosine of both sides of the equation to extract 
from inside the cosine.
#2: Evaluate
#3: The cosine function is positive in the first and fourth quadrants. To find the second solution, subtract the reference angle from 
π to find the solution in the fourth quadrant.
#4: Simplify the equation above.
- Multiply by 
- Subtract 
from 
#5: Find the period.
- The period of the function can be calculated using 
.
- Replace 
with 
in the formula for period.
#6: Solve the equation.
- The absolute value is the distance between a number and zero. The distance between 
and is .
- Divide 
by 
The period of the 
function is so values will repeat every radians in both directions.
, for any integer 
Answer:
-25
Step-by-step explanation:
You can round -98.5 to 100
Then round 3.8 to 4
Negative divided by positive is negative.
-100 ÷ 4 = -25
The height that a ball reaches at a certain time t is given by the equation,
h = 2 - 15t + 5t²
We are asked to compute for the values of t that would allow the ball to reach a height of 7 meters.
Substitute the 7 to the equation,
7 = 2 - 15t + 5t²
Transposing,
5t² - 15t - 7 + 2 = 0
Simplifying,
5t² - 15t - 5 = 0
Divide the equation by 5,
t² - 3t - 1 = 0
The values of t can be calculated through the quadratic formula,
t = (-b +/- sqrt(b² - 4ac))/2a
Substituting,
t = (3 +/-sqrt (9 - 4(-1)) / 2(1)
t = 3.3 or t = -0.30
Since, we cannot have t as a negative number hence, our final answer is:
<em> t = 3.3 s</em>
Answer:
Step-by-step explanation:
Exponents with fractions in them are really just radical notation in a different form. You've probably seen the square root sign.
That can be written as
x^(1/2)
...and when you take an even root of a negative number, there is no real answer. (2 is an even number).
Looking at the answer choices here, we can see that B and D use even roots, so they will give non-real answers.
So, A and C are the answer choices to select.
