First compute the area of the rectangle:
We have to find the radius of the circle:
circonférence of circle given radius is:
We get the equation:
Solving the above equation for r we get:
Compute the area of the circle like this:
The white area is the difference of the area of the rectangle and the area of the circle:
Answer:
Step-by-step explanation:
The area of trapezoid is given by the formula:
Where
A is the area
b_1 is base 1
b_2 is base 2, and
h is the height
Looking at the figure, base 1 is the left line which goes from y = 3 to y = 3, so 6 units. Also, base 2 is the right line which goes from y = -3 to y =5, so 8 units.
The height is the horizontal distance in the middle, which goes from x = -2 to x = 3, so 5 units. Hence area of trapezoid is:
Now, area of semicircle is:
Where
A is the area
r is the radius
Looking at the figure, the diameter (twice radius) goes from y = -3 to y = 3, so 6 units. But radius is half of that, so 3 units. Hence area of semicircle is:
Total area of the figure is
Answer:
slope = 
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (2, 7)
m = 
=
Answer:
∠Z ≈ 12°
Step-by-step explanation:
Using the Sine Rule in ΔXYZ
= 
, that is
= 
( cross- multiply )
48 × sinZ = 10 × sin96° ( divide both sides by 48 )
sinZ = 
Z = 
( ) ≈ 12°
So your present value is 7750. this is what you have now. they give you the intesrest rate which is 4% and how the amount of year is 5.
recall the formula for a compounded continously is
P×e^(r×t)
the answer is 7750×e^(.04×5)
