Answer:
DE = about 41.843 (rounded to nearest thousandth)
EF= 34.276 (rounded)
Step-by-step explanation:
For DE, we know that the shorter side (the opposite side) is 24, while the angle across form it is 35°. We can use trigonometry to figure this out. SinФ equals the opposite side (in this case, 24) divided by the hypotenuse. Set sinФ equal to a ratio of the sides like this:
sin(35) =
x represents the hypotenuse length, which we don't know; 35 is the angle measure. Next, isolate x so that the equation looks like this:
= x
You will need a calculator for the next part. (and make sure you're in degree mode!). evaluate sin(35) and divide 24 by that value. That is DE's length. DE = about 41.843 (rounded to nearest thousandth)
For EF, we can just use Pythagorean theorem now that we know the other sides' values.
EF^2 + 24^2 = DE^2
*a calculator might also be useful for this part.
EF= 34.276 (rounded)
Answer:

Step-by-step explanation:
Let the length of the rectangular part =l
The width will be equal to the diameter of the semicircles.
Area of the Skating Rink= 
Therefore:

Perimeter of the Shape =Perimeter of two Semicircles + 2l

The perimeter of the rink is given as:

Answer:
Profit earned by Randi on her last snow shoveling and salting job= $ 60
Let number of hours spent by Randi on that day while working as a shoveler and salter = x hours
Writing the statement in terms of inequality
→ Number of hours worked= Amount of profit earned
→ x=60
→If profit is less than $60.00, then Number of hours will be less.
→If Profit is more i.e greater than $60.00, Number of hours will be more.
Answer:
The answer would be that All the powers have a value if 1 because the exponent is zero.
Step-by-step explanation:
Use the exponent rule to help you
2 miles is equivalent to 126720 inches.