Answer:
The answer is indeed, 85/12 ; B
Using the Pythagorean theorem, you can use FOIL to solve for the hypotenuse then subtract the radius from the entire hypotenuse to find R. Since all radii are congruent.
Simplify the rest. We also know that (6+r)^2 is the hypotenuse since angle JKL is a right angle as it is perpendicular to the center and is a tangent.
Answer:
Domain:
Range:
Step-by-step explanation:
Given
Required
Determine the domain and the range
Solving for domain:
From the question, we understand that t represent years.
Because years can't be negative;
Then, we can conclude that the domain, t is:
Solving for Range:
We solved domain to be
This implies that the minimum value of t is and the maximum is infinity
Substitute 0 for t in
Hence;
The range is
Answer:
Provided in the picture below.
Step-by-step explanation:
Provided in the picture below.
Answer:
0.0359
Step-by-step explanation:
Data provided:
mean values of three independent times are 15, 30, and 20 minutes
the standard deviations are 2, 1, and 1.6 minutes
Now,
New Mean = 15 + 30 + 25 = 65
Variance = ( standard deviation )²
or
Variance = 2² + 1² + 1.6² = 7.56
therefore,
Standard deviation = √variance
or
Standard deviation = 2.75
Thus,
Z-value =
or
Z-value = - 1.81
from the Z-table
the Probability of Z ≤ -1.81 = 0.0359
∠ROT=160°
∠SOT=100°
Now ∠SOR= ∠ROT - ∠SOT
∠ SOR = 160°-100°
∠ SOR =60°
It is given that measure of angle ROQ to equals the measure of angle QOS equals the measure of angle POT.
∠SOQ + ∠QOR = 60°
But ∠SOQ = ∠QOR
2∠SOQ=60°
∠SOQ=60°÷2
∠SOQ =30°
Also ∠POT=∠SOQ=∠ROQ=30°
