Answer:
-1.25
Step-by-step explanation:
Better to write this as
a(n)= -5(1/2)^(n-1)
Then the 3rd term is a(3) = -5(1/2)^(3 - 1), or a(3) = -5(1/2)^2 = -5/4 = -1.25
The cone itself is 25.13, with the half sphere added it’s 41.8 :)
Answer: The answer is 30 sq.ft/min and 25 sq.ft/min.
Step-by-step explanation: Given that there are two spray paint machines. The first machine (nicknamed "Paint Pro") is used for two hours and the second machine (nicknamed "Goldilocks") is used for an hour and a half. When they are working at the same time, they can paint 55 square feet per minute and together they painted 5850 square feet of wall.
Let 'x' and 'y' sq.ft/min be the portion of the wall painted by Paint Pro and Goldilocks respectively.
Then, according to the question, we have
Multiplying first equation by 4 and subtracting the second equation from it, we have

and

Thus, Paint Pro will paint 30 sq.feet per minute and Goldilocks will paint 25 sq.ft per minute.
Answer:
There will be no change. It will still be 4/5
Step-by-step explanation:
When one performs a dilation of a triangle, all sides get affected. In this case, since the dilation is by a factor of two, the sides will double their lengths.
But recall that dilations will create similar triangles, which means that their angles at the vertices remain the same.
The trig functions of angles depend only on the actual angle they are applied to, so, since the angles remain the same, the sine value will stay the same: "4/5".
Step-by-step explanation:
a) The 3rd row has 37 seats, the 4th row has 45 seats and the 5th row has 53 seats.
b) This is an arithmetic sequence because the values differ by a constant quantity.
c) You need to find the nth term of the sequence:
21 = 1×8+x
x=13
So the nth term is 8x +13.
The 100th term would be 813.