Answer:
Step-by-step explanation:
Radius =6 ft
Area of circle = πr²
= 3.14 * 6 * 6
= 113.04 ft²
base = 10.39 ft
height = 6+3 = 9 ft

= 46.76 ft²
Area of the shaded region = area of circle - area of triangle
= 113.04 - 46.76
= 66.28
= 66.3 ft²
Answer:

Step-by-step explanation:
Let:

This is and exact equation, because:

So, define f(x,y) such that:

The solution will be given by:

Where C1 is an arbitrary constant
Integrate
with respect to x in order to find f(x,y):

Where g(y) is an arbitrary function of y.
Differentiate f(x,y) with respect to y in order to find g(y):

Substitute into 

Integrate
with respect to y:

Substitute g(y) into f(x,y):

The solution is f(x,y)=C1

Solving y using quadratic formula:

Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today, I hope you are having a nice day!
We can solve this in two steps, Comprehension and Solving. I'll go ahead and start with Comprehension.
If you have any questions feel free to ask away!!
Comprehension
We know according to the laws of geometry that all angles in a triangle add up to 180 degrees.
We also know that in an isosceles angle, the base angles are equation to each other.
Now that we know what we need to know, we can setup an equation.

We can do this because first of all, we know that 2x-6 is one of the angles and as per the base angles of an isosceles triangle we know that both base angles are x, therefore we can add 2x to get 180 degrees.
I'll start solving now.
Solving
We can solve this by using the equation we made above and solving it with algebra.

We know that x is equal to 46.5 degrees. We can check that by inputting it into the equation.

We've proven that our answer is correct by double checking,
Therefore the answer is 46.5!
Cheers!
Answer:
Step-by-step explanation:
14 + 5t > = 49 (thats a greater then or equal sign)
5t > = 49 - 14
5t > = 35
t > = 35/5
t > = 7 <===
Answer:
3.75 quarts, rounded to 3.8 quarts
Step-by-step explanation:
3 quarts of solution is 10% antifreeze, so 0.3 quarts are already antifreeze, and 2.7 quarts are not.
a(the antifreeze we already have)+x(what we're going to add)= 1.5*2.7
Let me explain. If we have 60% antifreeze, 40% is not. 60/40=1.5
Substitute a for 0.3
0.3+x=4.05 Subtract 0.3 from both sides
x=3.75