Answer:
c²=a²+b². 13²=12²+b² 169=144+b². b² =√25=5
Tripled
original volume 3*6*10=180
when one is tripled 3(3) * 6*10 = 3*3*6*10=180*3
it doesnt matter which is tripled
First write an equation with what you know: y = a + 1/4x.
You need to find the y intercept, so plug in the complete pair of coordinate:
-1 = a + (1/4 × 10)
To solve algibreically, subtract the product of 1/4 × 10 (which is 2.5) from both sides.
-1 - 2.5 = -3.5
The y intercept is -3.5, so the equation looks like this: y = -3.5 + 1/4x.
To find the missing y value, plug in the x value that is given.
-3.5 + (1/4 × 6) = -2.
The missing y value is -2, so that cordinants pair would be (6, -2)
Answer:
It take 37.5 hours to fill the tank
Step-by-step explanation:
Given:
Time Taken to fill the tank = 15 hours
Time Taken to empty the tank = 25 hours
To Find:
Time taken to fill the tank when both the inlet and outlet is opened at the same time = ?
Solution:
Let the time to fill the tank be x
In 15 hours the tap fills the tank
Rate at which the tank is filled =
In 25 hours the tap empties the tank
Rate at which the tank is drained =
The net gain per minute on the total filling rate is
=> Rate at which the tank is filled - Rate at which the tank is drained
=>
=>
=>
=> 10x = 375
=>
=>x = 37.5
A: To find the rate in feet per minute, we can use the information given.
Every two minutes, the submarine dives 300 feet. So
.
In order to confirm that our rate is correct, we can use the second set of information given.
=
.
Since we know that the rate is 150 feet per minute, we can multiply it by any number of minutes and get the answer of how deep the submarine is. We can use a variable x to represent the number of minutes and y to represent the depth in feet.
There's our equation.
B: It would be more reasonable to use an equation with the rate feet per minute because it is more accurate since the time interval isn't too big.