Simplify the radical expression
2 answers:
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Answer:
<h2>The measure of angle KJL is 40°.</h2>Step-by-step explanation:
Givens
Notice that
, by definition sum of arcs.
Replacing given values, we have
Which means
Notice that arc KP is the subtended arc by angle KJL.
We know that the angle formed by a tangen and a secant is equal to one-half of the difference of the intercepted arcs.
Therefore, the measure of angle KJL is 40°.
Answer:
Step-by-step explanation:
We want the probability that the 35 cars are loaded onto the ferry. Therefore:
Since
μ=1.8 and σ=0.5 we have:
P(X<35 )=P ( X−μ<35−1.8 )=P((X−μ)/σ<(35−1.8)/0.5)
Since
(x−μ)/σ=Z and
we have:
Use the standard normal table to conclude that:
Answer:
The piece-wise function is;
Step-by-step explanation:
The flat rate for renting the car = $35 per day
The amount charged as insurance fee per day for renting the car for 3 days or less = $10
The insurance fee charged per day when the car is rented for more than 3 days = $5
Let the number of days = x
Therefore, we have;
For x ≤ 3, f(x) = 35 × x + 10 × x = x × (35+10) = 45·x
For x > 3, f(x) = 35 × x + 5 × x = x × (35+5) = 40·x
Therefore;
The charge rate for renting the car for less than or equal to 3 days = 45·x
The charge rate for renting the car for more than 3 days = 40·x
The piece-wise function can be presented as follows;