Answer:
see explanation
Step-by-step explanation:
Since the triangles are right use trigonometric ratios to find x and y
A
sin33° =
= 
Multiply both sides by x
x × sin33° = 2.5 ( divide both sides by sin33° )
x =
≈ 4.590
tan33° =
= 
Multiply both sides by y
y × tan33° = 2.5 ( divide both sides by tan33° )
y =
≈ 3.850
B
cos72° =
= 
Multiply both sides by x
x × cos72° = 6 ( divide both sides by cos72° )
x =
≈ 19.416
tan72° = 
Multiply both sides by 6
6 × tan72° = y, thus
y ≈ 18.466
Answer:
The earth will revolve 15° and 0.0833 radian in 1 hour
Step-by-step explanation:
We know that earth revolve one round on its axis 24 hour
We know that 1 round = 360°
So earth will revolve 360° in 24 hour
So earth will revolve
in 1 hour
Now we have to find the revolution in radian
So 
Answer:
A = 153.94 sq mi
Step-by-step explanation:
In this scenario, we would be starting from the center point and searching the area of a square since the distance in every direction would the same 7 mi. This 7-mile distance would be our radius in this scenario. We now need to use the formula for the Area of a circle to calculate the search area. This formula is the following
A = 
A = 
A = 
A = 153.94 sq mi
A total of 153.94 square miles must be searched.
Answer:

Step-by-step explanation:
We have a certain expression and are asked to find its equivalent with the answers provided :

Remove the parenthesis around 3m^5 :

Do the exponent rule for outside and inside exponent parenthesis :


Apply addition exponent rule :

Add :

Apply the addition rule for -12 + 5 :

Apply negative exponent rule for m^-7 :

Multiply the fractions :

