Answer:
6 problems per hour
Step-by-step explanation:
Total problems = 24
she completed the first 12 problems in 1 hour
The last 12 in 3 hours.
Total time = 1 hour + 3 hours
= 4 hours
unit rate for all 24 problems = total number of problems / total time taken
= 24 problems / 4 hours
= 6 problems per hour
Answer:
x = 3.76 ft
Step-by-step explanation:
To find the missing side, "x", solve using proportions.
In similar polygons, the 'new' polygon was created by multiplying every side of the 'old' polygon by the same number. Every side was multiply by the <u>scale factor</u>, "k", which tells you how much a polygon grew (k>1) or shrunk (0<k<1).
Therefore, if you divided the pairs of corresponding sides, they would be equal.
From the diagram, you can tell that the following sides correspond:
CB ~ GF
AB ~ EF
<u>Use the proportion</u>

Substitute values from diagram
Multiply both sides by 6 ft
"x" is isolated. Multiply fraction by combining into numerator
Solved numerator. Divide for decimal answer.

The value of 'x' is 3.76 ft.
The question is related to trigonometry and we have to use the formula of double angle .
Here we use double angle formula of tangent function which is

Given expression is

Comparing it with double angle formula, we will get x = 5
SO the required expression is equal to


So the answer is tan(10) .
Answer:
Choice C should be the answer
Step-by-step explanation:
Because all of them adds up to 180 since it is a straight angle.
So 2 miles per 1/2 hour
therfor 1 mile in 1/4 hour since 1/4 is 1//2 of 1/2
so
1 mile per 1/4 hour
2 mile per 2/4 hour
3 mile per 3/4 hour
basically 2 times 3/2=3 so
1/2 times 3/2=3/4=answer