The area of a circle is A = πr², where r is the radius. That means in order to solve this we have to find the value of x, which is the diameter of the lake, and then divide it in half to get the radius. To find x we will use similar triangles and proportions. x is the height of the big triangle and 4.5 is the height of the smaller triangle; 15.3 + 7.4 is the hypotenuse of the big triangle and 7.4 is the hypotenuse of the smaller triangle. Setting up our proportion:

$\frac{x}{4.5}=\frac{15.3+7.4}{7.4}$ which simplifies a bit to

$\frac{x}{4.5}=\frac{22.7}{7.4}$ and cross multiply to solve for x:

7.4x = 102.15 so

x = 13.8 That is the diameter of the lake. Divide it in half to get 6.9, the radius. Applying the area formula for a circle:

A = (3.14)(6.9)² and

A = 3.14(47.61) so

A = 149.5 which rounds to 150, Choice C

5 0

3 years ago

Pump 1 can empty a pool in 8 hours while Pump 2 can empty the same pool in 9 hours. If the two pumps worked together, how long w

yan [13]

Rate of pump A: 1/8 of a pool per hour
Rate of pump B: 1/9 of a pool per hour
Combined rate: 1/8+1/9 = 17/72 +1/9 = 25/72

So if they work together, the two pumps have a combined rate of 25/72 of a pool per hour (i.e in one hour, the two pumps will empty 25/72 of the pool)

But we want to empty ONE pool (not 25/72 of one). So we need to multiply 25/72 by some number x to get 1.

Now solve for x
x=2.88
It will take the two pumps 2.88 hours to empty the pool.
2 hours 52 minutes 50 seconds

7 0

2 years ago

A family pass to the amusement park costs $54 Using the Distributive Property,write an expression that can be used to fine the c

snow_lady [41]

X represents the amount of children's tickets
y represents the amount of adult's tickets

8(x+y) = 54

7 0

2 years ago