Answer:
The tree is 28 ft
Step-by-step explanation:
We can solve this problem by using proportions. Take the size of the item over the shadow.
40 ft pole x ft tree
-----------------------= -----------
12 ft shadow 8.4 ft shadow
Using cross products
40 * 8.4 = 12 * x
336 = 12x
Divide each side by 12
336/12 = 12x/12
28 ft = x
A recipe calls for 1/2 a cup of flour per batch of cookies, but the chef only wants to make 2/3 of a batch. How much flour should the chef add?
It's 22 because you would use the distributive property
120 says is 1/3 of a year.
Interest = 1500 x 0.15 x 1/3 = $75
Proceeds = 1500 - 75 = $1425
Looking through my old calc notes, I am reading that f(x) needs to be continuous on [a,b] and f ' (x) also needs to be continuous on [a,b]. Both conditions are needed. If you had to pick just one, then I'd say f(x) being continuous is much more important. Though I'm not 100% sure on this one. My thinking is that if there was any discontinuities on f(x), then the arc length would be distorted and overblown. The arc length should not account for any piece that isn't on the curve.