Answer: 70in^2
Step-by-step explanation:
Multiply 10 times 8 ( base * height )
to find the area of the bottom figure
10*8 = 80 Now divide it by 2 since it only covers half of it.
80/2 = 40
<h3>Next Part</h3>
We multiply Base times height again.
6*10 = 60
60/2 = 30
A = 70
A^2b^5/c^5 because when you are multiplying exponents you add the powers
Answer:
112 Ounces
Step-by-step explanation:
2 Cups + 4 Pints + 2 Quarts = 14 Cups
14 Cups = 112 Ounces
Answer:
(x - [-1])² + (y - [-1])² = [13]
Step-by-step explanation:
If P and Q are the end-points of the diameter PQ, midpoint of the segment PQ will be the center of the circle. (Definition of the center of a circle)
Midpoint of a segment having extreme ends
and ![(x_2,y_2)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29)
Coordinates of the center = ![(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})](https://tex.z-dn.net/?f=%28%5Cfrac%7Bx_1%2Bx_2%7D%7B2%7D%2C%5Cfrac%7By_1%2By_2%7D%7B2%7D%29)
Since, extreme ends of the diameter are P(-4, -3) and Q(2, 1)
Center of the circle = ![(\frac{-4+2}{2},\frac{-3+1}{2} )](https://tex.z-dn.net/?f=%28%5Cfrac%7B-4%2B2%7D%7B2%7D%2C%5Cfrac%7B-3%2B1%7D%7B2%7D%20%20%29)
= (-1, -1)
Radius of the circle = Distance between the center and Q,
Since distance between the two points
and
is,
d = ![\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Radius of the circle = ![\sqrt{(-1-2)^2+(-1-1)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28-1-2%29%5E2%2B%28-1-1%29%5E2%7D)
= ![\sqrt{9+4}](https://tex.z-dn.net/?f=%5Csqrt%7B9%2B4%7D)
= ![\sqrt{13}](https://tex.z-dn.net/?f=%5Csqrt%7B13%7D)
Equation of the circle will be,
(x - h)² + (y - k)² = r²
Where (h, k) is the center and 'r' is the radius of the circle,
(x - [-1])² + (y - [-1])² = [13]
Remember y-vaules are range!