The Sparkling Pool Company supplies the graph below to each of its new clients. The graph shows the relationship between the amo
unt of water pumped into a pool and the time that has elapsed.
Which of the following statements best describe the rate at which the water is pumped into a pool.
A)The water is pumped at a rate of approximately 15 gallons per hour.
B)The water is pumped at a rate of approximately 500 gallons per hour
C)The water is pumped at a rate of approximately 15 gallons per minute.
D)The water is pumped at a rate of approximately 909 gallons per minute.
Which of the following statements best describe the rate at which the water is pumped into a pool.
A)The water is pumped at a rate of approximately 15 gallons per hour.
B)The water is pumped at a rate of approximately 500 gallons per hour
C)The water is pumped at a rate of approximately 15 gallons per minute.
D)The water is pumped at a rate of approximately 909 gallons per minute.
1 answer:
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Answer:
m=
n=7
Step-by-step explanation:
Hi there!
We are given a right triangle (notice the 90°) angle, the measure of one of the acute angles as 60°, and the measure of the hypotenuse (the side OPPOSITE from the 90 degree angle) as 14
We need to find the lengths of m and n
Firstly, let's find the measure of the other acute angle
The acute angles in a right triangle are complementary, meaning they add up to 90 degrees
Let's make the measure of the unknown acute angle x
So x+60°=90°
Subtract 60 from both sides
x=30°
So the measure of the other acute angle is 30 degrees
This makes the right triangle a special kind of right triangle, a 30°-60°-90° triangle
In a 30°-60°-90° triangle, if the length of the hypotenuse is a, then the length of the leg (the side that makes up the right angle) opposite from the 30 degree angle is , and the leg opposite from the 60 degree angle is
In this case, a=14, n=, and m=
Now substitute the value of a into the formulas to find n and m to find the lengths of those sides
So that means that n=, which is equal to 7
And m=, which simplified, is equal to
Hope this helps!