Answer: The rational expression that is needed is z^5/8.
In the problem, we are starting with 4z^5/7 and multiply by something. Then, we have z^10/14.
First, let's deal with the variables. We go from z^5 to z^10, so we had to multiply by z^5.
Second, our fraction went from 4/7 to 1/14, the missing factor would be 1/8 because 4/7 times 1/8 equals 1/14.
The value of sine theta = negative eight-seventeenths ⇒ 2nd
Step-by-step explanation:
Let us revise the quadrant of an angle its terminal side passes through a given point
- If the given point is (x , y), then the angle lies in the 1st quadrant
- If the given point is (-x , y), then the angle lies in the 2nd quadrant
- If the given point is (-x , -y), then the angle lies in the 3rd quadrant
- If the given point is (x , -y), then the angle lies in the 4th quadrant
∵ The terminal side of angle Ф passes through P (15 , -8)
∵ x = 15 and y = -8
- P is (x , -y), then the angle Ф lies in the 4th quadrant
∵ The terminal side of angle Ф is the hypotenuse of a right
triangle whose horizontal leg is 15 units and vertical leg
is -8 units
- Use Pythagoras Theorem to find the length of the hypotenuse
∴ Hypotenuse =
units
∵ sinФ = 
∵ The side opposite to Ф is -8
∵ The hypotenuse is 17
∴ sinФ = 
The value of sine theta = negative eight-seventeenths
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Answer: True
Step-by-step explanation:
The length of the sides of a right triangle are always less than the length of the hypotenuse.
Also, the ratio of any side of a triangle and the hypotenuse is always less than 1.
Answer: 0.8926
Step-by-step explanation:
Given : A shipment of 50 inexpensive digital watches, including 10 that are defective.
The probability that a digital watch is defective 
Sample size : n=10
Also, they reject the whole shipment if 1 or more in the sample are found defective.
Using the binomial probability formula :

Let x be the random variable that represents the number of defective watches.
The probability that the shipment will be rejected :-

Hence, the probability that the shipment will be rejected = 0.8926