Answer:
Angle y and Angle x are complementary angles
Step-by-step explanation:
we know that
If
sin(y°)=cos(x°)
then
Angle y and Angle x are complementary angles
so
∠y+∠x=90°
∠x=90°-∠y
sin(y°)=cos(90°-y°)
therefore
The sine of an angle is equal to the cosine of its complementary angle
Answer:
2/3
Step-by-step explanation:
If we have 'x' students who like math and 'y' students that like science, we can formulate that:
Half of x likes math and science, and also one third of y likes math and science, so:
(1/2) * x = (1/3) * y
x / y = (1/3) / (1/2)
x / y = (1/3) * 2 = 2/3
So the ratio of the number of students who like math to the number of students who like science is 2/3
Total number of cubic inches of cheese sauce in container = Volume of cylinder = 
Option A is correct.
Step-by-step explanation:
The diameter of cylinder = 16 inches
The height of cylinder = 7 inches
Total number of cubic inches of cheese sauce in container = Volume of cylinder = ?
The formula used to find Volume of cylinder is:

We are given diameter of cylinder while we need radius according to formula.
So, radius = diameter/2
radius = 16/2
radius = 8
Putting values and finding volume:

So, Total number of cubic inches of cheese sauce in container = Volume of cylinder = 
Option A is correct.
Keywords: Volume of cylinder
Learn more about Volume of cylinder at:
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Answer: 8 minimum work stations is what would be needed.
Step-by-step explanation:
The cycle time is computed as the operating time daily divided by the scheduled output.
It is important to note that the daily capacity of the operation layout is the operating time divided by the cycle time.
Therefore,
If you need to produce 30units/hour.
The average cycle time is as follow:
The average cycle time is the average time between the completions of units.
60/30= 2 average cycle time
=16/2
=8
8 work stations is the minimum number that would be needed.
It is important to know that in an assembly line balancing, the minimum number of work station is the ratio of the sum of all tasks time to the cycle time.
Answer:
31
Step-by-step explanation:
An entire amount is 100% of the amount.
50% is half of 100%, so 50% means the same as half.
Half of 62 is the same as 62/2 = 31
Answer: 31