Answer:
The answer is 50 degrees
Step-by-step explanation:
The small box at the corner of the triangle indicates that the triangle is exactly 90 degrees, or a right angle. In order to solve the expression, you would need to do 40 + x = 90, which would be x = 50
Answer:
The maximum value of the equation is 1 less than the maximum value of the graph
Step-by-step explanation:
We have the equation
.
We can know that this graph will have a maximum value as this is a negative parabola.
In order to find the maximum value, we can use the equation 
In our given equation:
a=-1
b=4
c=-8
Now we can plug in these values to the equation

Now we can plug the x value where the maximum occurs to find the max value of the equation

This means that the maximum of this equation is -4.
The maximum of the graph is shown to be -3
This means that the maximum value of the equation is 1 less than the maximum value of the graph
Answer:
d = 13.8 feet
Step-by-step explanation:
Because we are talking about cubic feet of water, we need the formula for the VOLUME of a cylinder. That formula is

We will use 3.141592654 for pi; if the tank HALF filled with water is at 20 feet, then the height of the tank is 40 feet, so h = 40; and the volume it can hold in total is 6000 cubic feet. Filling in then gives us:

Simplify on the right to get

Divide both sides by 125.6637061 to get that

Taking the square root of both sides gives you
r = 6.90988299
But the diameter is twice the radius, so multiply that r value by 2 to get that the diameter to the nearest tenth of a foot is 13.8
Answer:
XY = 17
Step-by-step explanation:
Intersect secant theorem, EX * EY = EZ*EW
34 * EY = 25.5 * 68

EY = 51
EX + XY = 51
34 + XY = 51
XY = 51 - 34 = 17