825/3 = 275 which is how many miles she drove in January.
275*4= 1100 which is how many miles she drove in February.
Ms. Turner drove 1100 miles in February.
Answer:
a) The distance of the light's base from the bottom of the building is approximately: 5.2 ft
b) The length of the beam is approximately: 10.4 ft
Step-by-step explanation:
First, we have to recognize that we may draw a right triangle to picture our problem. Then, in order to find out the distance of the light's base from the bottom of the building, we need to use the tangent trigonometric function:
tan(angle) = opposite side / adjacent side
We know the angle and the opposite side and we want to find the adjacent side:
adjacent side = opposite side / tan(angle) = 9 ft / tan(60°) = 9 ft / = 9 ft / 1.73 = 5.2 ft
In order to find the length of the light beam, we use Pythagoras Theorem:
leg1²+leg2² = hyp²
Since the length of the beam corresponds to the hypotenuse and since we already know the length of the two legs, it is just a matter of substituting the values:
hyp = square_root(leg1²+leg2²) = square_root(9² + 5.2²) ft = square_root(108.4) ft = 10.4 ft
Answer:
63cm^2
Step-by-step explanation:
Area = length x width
Given
Length = 7cm and
Width = 9cm
Area = 7 x 9
= 63cm^2
Answer:
Pool will be filled in 280 hours
Step-by-step explanation:
Inlet pipe fills in 40 hours = 1 pool
Inlet pipe fills in 1 hours = 
Drain pipe empty in 42 hours = 1 pool
Drain pipe empty in 1 hour = 
If both pipes are opened together
then in pool fills in 1 hour = -
on simplifying the right side ,we get 
= 
= 
pool fills in 1 hour
1 pool will be filled in 840 hours
pool is filled
empty pool = 1 - = 
therfore pool will be filled in X 840 =
= 280 hours
10√3 cm.
The radius of an incircle of a hexagon is the same measure as the apothem. find the apothem by taking half of the central angle and create a right triangle perpendicular to the side. The central angle is 60 so the angle opposite the side length will be 30. this creates a 30-60-90 triangle with the ratio x:x√3:2x. half the side opposite 30 is 10, so x=10. the base angle of the side is 60 so it will be x√3. plug in 10 for x to get 10√3 cm.
