The standard equation of the circle is:
(x-h)^2+(y-k)^2=r^2 where (h,k) it the center of the circle and r is the radius...
so
30.
(x-2)^2+(y-7)^2=16
31.
We need to find the radius...(I'll just use the Pythagorean Theorem)
r^2=6^2+8^2
r^2=36+64
r^2=100 (so the radius is 10) and its center is (-6,-8) so
(x+6)^2+(y+8)^2=100
Where is the question?? I'll be glad to answer in the comments once the question is given. Hope to hear from you!
If 1 commuter van has 14 windows, then 6 commuter vans have (14 x 6) = 84 windows
This problem is simply asking us to add the weights which are presented as fractions. You can easily get the answer if you input them directly in a calculator. But I think the challenge here is to manually add fractions.
Let's add the two 1/4 lb weights because it is easier for they have a common denominator. Just simply add the numerators.
1/4 + 1/4 = 2/4
Then, add with this the fraction part of 2 1/5.
2/4 + 1/5 = ?
The least common denominator is 4*5 = 20. Then divide 20 with each denominator and multiply to their respective numerator.
2/4 + 1/5 = [(20/4 * 2) + (20/5 *1)]/20 = 14/20
14/20 is simplified to 7/10. Then add the whole number 2. <em>Therefore, the sum of all weights is 2 7/10 pounds.</em>
Let angle be alpha
If you have angle measure in degree put in place of Alpha and get the value elaw this is our final answer
