Answer:
1. 0.0692156863
2. 0.5761904762
3. 0.3969565217
4. 2.030769231
Step-by-step explanation:
Answer:
A. 8 1/4 * 11 1/2 * 14=1328 1/4 ft^2
OR
8 1/4 height times 11 1/2 width times 14 in length equals 1328 1/4 feet squared
B. 8 1/4 * 14 1/2 * 14=1674 3/4
OR
8 1/4 height times 11 1/2 width plus 3 so 14 1/2 width times 14 equals 1674 3/4 feet squared
Step-by-step explanation:
Answer:
69.81 sq. m. (rounded to 2 decimal places)
Step-by-step explanation:
The sector of a circle is "part" or "portion" of a circle. The formula for the area of a sector is:
![A=\frac{\theta}{360}*\pi r^2](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B%5Ctheta%7D%7B360%7D%2A%5Cpi%20r%5E2)
Where
is the central angle
r is the radius
Given the figure, the arc is given as 80 degrees, but not the central angle of the shaded sector. But from geometry we know that the central angle and the intercepted arc have the same measure. So we can say:
![\theta = 80](https://tex.z-dn.net/?f=%5Ctheta%20%3D%2080)
Also, the radius of the circle shown is 10 meters, so
r = 10
Now, we substitute in formula and find our answer:
![A=\frac{\theta}{360}*\pi r^2\\A=\frac{80}{360}*\pi (10)^2\\A=\frac{2}{9}*100\pi\\A=\frac{200\pi}{9}\\A=69.81](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B%5Ctheta%7D%7B360%7D%2A%5Cpi%20r%5E2%5C%5CA%3D%5Cfrac%7B80%7D%7B360%7D%2A%5Cpi%20%2810%29%5E2%5C%5CA%3D%5Cfrac%7B2%7D%7B9%7D%2A100%5Cpi%5C%5CA%3D%5Cfrac%7B200%5Cpi%7D%7B9%7D%5C%5CA%3D69.81)
Thus,
The area of the shaded sector is 69.81 sq. meters.
Come on now, Tayala !
What if I say to you:
"Start with 3 cows, take away 7 cows, and then add 14 cows. How many are there ?"
Don't let the little 't' scare you. It doesn't matter one bit what 't' really is. It can be
a number, a teacher, a tiger, or a teacup. Whatever it is, you start with 3 of them,
take away 7 of them, and then add on 14 of them. How many are there ?
Hint: If there are not ten of them, then go back and look at the cows again.