Answer: after 40 seconds, the two tanks will have the same amount of water.
Step-by-step explanation:
Let x represent the number of seconds after which both tanks will have the same amount of water.
A fish tank has 150 gallons of water and is being drained at a rate of 1/2 gallons each second. It means that the number of gallons of water that would be in the tank after t seconds is
150 - 0.5t
A second fish tank has 120 gallons and it is being filled at a rate of 1/4 gallons each second. It means that the number of gallons of water that would be in the tank after t seconds is
120 + 0.25t
For the volume of both tanks to he the same, then
120 + 0.25t = 150 - 0.5t
0.25t + 0.5t = 150 - 120
0.75t = 30
t = 40 seconds
This is the area of a triangle
Answer:
Height of Tower = 41.8901 ft
Base to Ground Wire = 94.0905 ft
Step-by-step explanation:
So you want to find the opposing side of the angle, as well as the distance from the base to where the wire is attached to the ground. You would need to use CAH to find the ground, and SOH to find the height. To find the height or opposite, take the Sine of 24°, 0.4067, and times it by your hypoteneuse 103 to get an exact height of 41.8901 ft. Next, use the Cosine of 24°, 0.9135, and times that by your hypoteneuse 103 to get 94.0905 ft.
Here are the equations:
sin(24)=
cos(24)=
The answer is: [B]: "Rectangle, <em>A = w * h </em> square units" .
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Answer:
x = 7
y = 12
Step-by-step explanation:
The key to solving this problem is understanding the properties of exponents:
If you are multiplying two powers with the same base (in this case the base is 6), the result is the base raised to the power of the two exponents added together.
6^1/3+1/4 = 6^x/y
6^7/12 = 6^x/y
So the product would be 6^7/12
Therefore, the answers are:
x = 7
y = 12
