Answer:
Step-by-step explanation:
Let's start by factoring everything:
Now, you can cancel out some terms:
Now, when you divide a fraction by another fraction, that is the same as multiplying the first fraction by the reciprocal of the second one:
Hope this helps!
Answer:
Area of semicircle = 226.08 in²
Step-by-step explanation:
Diameter of semicircle = 24 in
We need to find area of semicircle.
The formula used to find area of semicircle is: 
First we will find radius
We know that: radius = diameter/2 = 24/2 = 12
Now, finding area
So, Area of semicircle = 226.08 in²
Take the derivitive
f'(x)=3x^2+12x
find where it equals zero
it equal zero at x=0 and x=-4
find the y values
f(0)=-36
f(-4)=-4
the critical points are (0,-36) and (-4,-4)
make sign chart
evalutat f'(x) at x=-5 and x=-1 and x=1, and see their signs
f'(-5)=(+)
f'(-1)=(-)
f'(1)=(+)
see below attachment
max is where sign changes from (+) to (-)
min is where sign changes from (-) to (+)
so
max at (-4,-4)
min at (0,-36)
none of the options are correct, do you have te right problem?
Answer:
29.7°
Step-by-step explanation:
In a right triangle representing the geometry of the problem, the side opposite the angle is the height of your observation (400 ft). The side adjacent to the angle is the distance from shore (700 ft).
You know the tangent ratio is ...
Tan = Opposite/Adjacent
so your angle of depression satisfies ...
tan(angle of depression) = (400 ft)/(700 ft)
Using the inverse function, we find ...
angle of depression = arctan(4/7) ≈ 29.745°
The angle of depression is about 29.7°.
Answer:
12x+19.95=13x+9.95
19.95=x+9.95
10=x
So after 10 classes the cost will be the same
12(10)+19.95=120+19.95= $139.95
13(10)=9.95=130+9.95= $139.95
