Answer:
50/3
Step-by-step explanation:
area of triangle = 10
area of circle = 10
area of triangle + area of circle = 20
The white sector of the circle has central angle 60°.
Its area is 1/6 the area of the circle.
To find the gray area, you must subtract the white area from the area of the circle and also subtract the white area from the area of the triangle. Two times the white area is 1/3 the area of the circle.
gray area = 20 - (1/3)10
gray area = 20 - 10/3
gray area = 60/3 - 10/3
gray area = 50/3
Answer:
23 SQUARE feet i think
Step-by-step explanation:
60,120,180,240,300,360,420,480,540,600,660,720,780,840,900,960,1020,1080,1140,1200,1260,1320,1380,1440,1500,1560,1620,1680,1740,1800,1860,1920,1980,2040,2100,2160,2220,2280,2340,2400,2460,2520,2580,2640,2700,2760,2820,2880,2940
Answer:
f(x) = 12*(2)^x
Step-by-step explanation:
A generic exponential equation is written as:
f(x) = A*(r)^x
And we also know that this equation passes through:
(-1, 6)
(0, 12)
(1, 24)
(2, 48)
For the second point, (0, 12) we know that when f(0) = 12
Then:
f(0) = 12 = A*(r)^0
And for every real number different than zero, a^0 = 1
Then:
f(0) = A*1 = A = 12
Then the equation is:
f(x) = 12*(r)^x
Now we can use one of the other points, like (1, 24)
Then f(1) = 24
We can solve:
f(1) = 24 = 12*(r)^1 = 12*r
24/12 = r
2 = r
Then the equation is f(x) = 12*(2)^x
Now we need to check if this function also passes through the points (-1, 6) and (2, 24):
f(-1) = 12*(2)^-1 = 12/2 = 6
f(2) = 12*(2)^2 = 12*4 = 48
Nice.
So we can see that the function is f(x) = 12*(2)^x
Answer:
All the same.
Step-by-step explanation:
They will all equal the same since the ≅ is a symbol commonly used for congruence, which is an equal symbol with a tilde above it, ≅, corresponding to the Unicode Character 'approximately equal to'.