Answer:
- Exact Area = 210.25pi - 210
- Approximate Area = 450.185
The units for the area are in square inches or in^2. The approximate value shown above is when using pi = 3.14
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Explanation:
Use the pythagorean theorem to find the length of the hypotenuse
a^2 + b^2 = c^2
20^2 + 21^2 = c^2
400 + 441 = c^2
c^2 = 841
c = sqrt(841)
c = 29
The hypotenuse is 29 inches long. This is the diameter of the circle. Half of that is the radius at r = d/2 = 29/2 = 14.5 inches.
The area of the circle is...
A = pi*r^2
A = pi*(14.5)^2
A = pi*210.25
A = 210.25pi
Which is exact in terms of pi
We'll subtract off the triangular region as this isn't shaded in. The area of the triangle is base*height/2 = 20*21/2 = 420/2 = 210 square inches.
So the shaded region is therefore 210.25pi - 210 square inches
This approximates to 210.25*3.14 - 210 = 450.185 when using the approximation pi = 3.14; use more decimal digits of pi to get a more accurate value.
She has 1/2 cup left. 3/4 + 3/8 equals 1 1/8 subtract that by 5/8 and you have 1/2
Answer:
yes
Step-by-step explanation:
it's saying pretty much take 15 out of 38
Answer:
There are 49 white marbles.
Step-by-step explanation:
w + g = 62 (w = white and g = green marbles).
w = 4g - 3
w - 4g = -3 Subtract this equation from the first equation:
g - (-4g) = 62 - (-3)
5g = 65
g = 65/5 = 13.
So w = 62 - 13 = 49.
Hey there :)
To find the slope with <em>two points</em> we will need to use the equation 
( 3 , -20 ) ( 5 , 8 )
Here is what the equation should look like when replaced with the numbers (<em>it will be a fraction</em>) :
We know that <em>two negatives</em> cancel out and make a positive, so the numerator would actually be 8 + 20.
Solve the fraction and we get 
28 <em>divided</em> by 2 is 14. The slope is 14.
