Step-by-step explanation:
Use the sine and cosine trig functions
21) cos(52)=13/x
x=13/cos(52)
x=21.1
22) sin(75)=6/x
x=6/sin(75)
x=6.2
Answer:
a. Current: 5 units/hour. Previous: 4.4 units/hour
b. Increase
Step-by-step explanation:
a. Current period productivity is 200 / 40 = 5 units/hour
Previous period productivity is 132 / 30 = 4.4 units/hour
b. As this week's productivity = 5 units/hours which is larger than last week's productivity = 4.4 units/hour. The worker's productivity for this week has increased.
You have some unknown integer

, and you know that adding this and the next two integers,

and

, gives a total of 57.
This means

The task is to find all three unknown integers. Notice that if you know the value of

, then you pretty much know the value of the other three integers.
To find

, solve the equation above:

So if 18 is the first integer, then others must be 19 and 20.
Combine the terms. Note that: one positive and one negative sign results in a negative sign.
Simplify: 5 + (-4) = 5 - 4 = 1
1 + (-7) = 1 - 7 = -6
-6 + 2 = -4
-4 is your answer
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