Answer:
Step-by-step explanation:
The diagonal forms two 45-45-90 triangles, with the diagonal being the hypotenuse of both. The Pythagorean Theorem states that 
, where 
is the hypotenuse of the triangle, and 
and 
are the two legs of the triangle.
From the Isosceles Base Theorem, the two legs of a 45-45-90 triangle are always equal. Since we're given a diagonal of 
, we have:
Hi!
5x = 1/4
5x = 0.25
<h3>Divide by 5 on both sides</h3>
5x/5 = 0.25/5
x = 0.05
<h3>Convert 0.05 to a fraction</h3>
5/100
<h3>Simplify the fraction</h3>
1/20
<h2>The answer is X=1/20</h2>
Hope this helps! :)
-Peredhel
Answer:
(2,11)
Step-by-step explanation:
what i did was actually substitution
It's like ..what I do when I've forgotten how to solve a particular equation in math or even physics
But I'd recommend you find the real solution cuz there's a formula
It would be 24 4×20/4+4
80/4
20+4
24
You didn't include the function.
If the function is, V = 20,000 (1 - t/20)^2, as you can see, for t = 20, V = 0
Then I am going to show you the work with that function, and you can use the same procedure with your own fucntion.
The rate of change of the volume is the derivative of the function with respect to the time.
[dV/dt] = 20,000 *2 [1 -t/20] * [-1/20] = - 2000 [1 - t/20] = 2000[t/20 - 1]
At t = 3
dV/dt = 2000[3/20 - 1] = -1700 gallons / min
The negative sign mean decreasing.
The answer is - 1700 gallons / min
Now, for the same function, if the time is t = 2, you would obtain one of the results of the list of options.
dV/dt = 20,000 [2/20 - 1] = -1800 gallons/minute, which is the option D of the list.
