Remark
If you have the area of the sector, then what you need is the area of the triangle in order to find the area of the shaded area. Just subtract the two.
Area of the triangle
The right angle makes finding the base and height very easy since they are equal
Area_Triangle = 1/2 * b * h
b = 9
h = 9
Area = 1/2 * 9 * 9
Area = 1/2 * 81
Area = 40.5
Area of the Shaded Area
Area_shaded = area of the sector - area of the triangle.
Area_shaded = 20.25 * pi - 40.5
Area_shaded = 20.25(pi - 2) <<<< Answer
Subtract the 
terms from each other, then the 
terms, then the ones without any whatsoever.
First, we'll subtract 
from 
Result: 
Next, we'll subtract 
from 
Result: 
Finally, we'll subtract 
from 
Result: 
Now, we can add these 3 results together.
First, we had , then , and finally .
Thus, our subtraction of
equals
Answer:
alright hers your brainliest and thank you very much i really appreciate it
Step-by-step explanation:
Answer:
a) 72.25sec
b) 6.25secs
c) after 10.5secs and 2 secs
Step-by-step explanation:
Given the height reached by the rocket expressed as;
s(t)= -4t^2 + 50t - 84
At maximum height, the velocity of the rocket is zero i.e ds/dt = 0
ds/dt = -8t + 50
0 = -8t + 50
8t = 50
t = 50/8
t = 6.25secs
Hence it will reach the maximum height after 6.25secs
To get the maximum height, you will substitute t - 6.25s into the given expression
s(t)= -4t^2 + 50t - 84
s(6.25) = -4(6.25)^2 + 50(6.25) - 84
s(6.25) = -156.25 + 312.5 - 84
s(6.25) = 72.25feet
Hence the maximum height reached by the rocket is 72.25feet
The rocket will reach the ground when s(t) = 0
Substitute into the expression
s(t)= -4t^2 + 50t - 84
0 = -4t^2 + 50t - 84
4t^2 - 50t + 84 = 0
2t^2 - 25t + 42 = 0
2t^2 - 4t - 21t + 42 = 0
2t(t-2)-21(t-2) = 0
(2t - 21) (t - 2) = 0
2t - 21 = 0 and t - 2 = 0
2t = 21 and t = 2
t = 10.5 and 2
Hence the time the rocket will reach the ground are after 10.5secs and 2 secs
Answer:
Answer:
Part a) Mr. Paul bought 14 oz of cashews
Part b) Mr. Paul bought 12 oz of walnuts
Part c) Mr Paul bought 2 oz more of cashews than walnuts
Part d) Mr Paul bought 2 more ounces of nuts than Mrs Toombs
Step-by-step explanation:
Part a) How many ounces of cashews did Mr. Paul buy?
Remember that
To convert lb to oz multiply by 16
we know that
Mr. Paul bought 7/8 lb of cashews <em> I think hope this helps:)</em>
Step-by-step explanation:
