Considering the volume of the cone, it is found that each triathlete sloshed out 9.5 cm³ of water.
<h3>What is the volume of a cone?</h3>
The volume of a cone of <u>radius r and height h</u> is given by:
V = 1/3 x r² x h
In this problem, the radius and the height are given as follows:
r = 3.5 cm, h = 7 cm.
Hence the total volume is:
V = 1/3 x 3.5² x 7 = 28.6 cm³
The triathletes sloshed out 1/3 of that, hence:
1/3 x 28.6 = 9.5 cm³.
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Answer:
A. The population of California was approximately two times the population of Florida.
Step-by-step explanation:
According to the 2008 U.S. census, population of Florida = 2 × 
Population of California = 4 ×
= 2 × 2 ×
= 2 × population of Florida
Hence, the population of California was approximately two times the population of Florida and the correct option is A.
The bin containing 382 red, yellow, blue and green balls have a total of 32 green balls.
Let x represent the number of red balls, y represent the number of yellow balls and z represent the number of green balls.
Since ther is a total of 382 balls, hence:
x + y + z = 382 (1)
There is three times as many red balls as yellow balls:
y = 3x
3x - y = 0 (2)
52 more blue balls than yellow balls, hence:
z = y + 52
- y - z = -52 (3)
Solving equations 1, 2 and 3 gives x = 62, y = 186, z = 134
Hence there are 62 red balls, 186 yellow balls and 134 blue balls
Green balls = 62 - 30 = 32 balls
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Answer:
The correct option is (1).
Step-by-step explanation:
The given system of equation is,
..... (1)
.... (2)
The solution of the system of equation is the point where both line intersect each other.
Solve the equation by method of elimination.
Multiply equation 1 by 3.
... (3)
Add equation (2) and (3).
Put this value in equation 1.
Therefore, the lines intersect each other at (0.25,3.75). So, the first option is correct.
The answer is 1307.621 and if you estimate that answer it would be D
