Answer:
This sum is the sum of an arithmetic sequence. There is a formula for the sum of an arithmetic sequence which can be looked up or derived by a variety of means.
A nice approach for this sequence is the following. Notice that the sum of first and last number in the sequence is the same as the sum of the second and second last, and also the same as the sum of the third and third last, and so on.
There are n of these pairs. So the desired sum is n x (first number + last number). But the first number is 1 and the last on is 2n. Thus the desired sum is n(1 + 2n).
Hope this helps!!
Mark Brainleast!!!!!!!!!!!
Answer: 57 ft
Step-by-step explanation: Because drawing it up, we can make a right angled triangle with the right angle between the height of the man in the building and the distance out from the building of the man in the street, and the 35 degrees between the line connecting the man in the street with the man in the building, and the line out from the building of the man in the street. Then, tan of the 35 degree angle is = to opposite (40ft)/adjacent (to solve for). By cross multiplication, the A or adjacent (dist out from the building) = 40/0.7 (0.7 = tan of 35 degrees) so the answer is 57 ft.
Answer :
and 
Step-by-step explanation:
Given : A circle with the same radius as the circle shown but with a center at (-1.1).
To find : Which equation represents a circle ?
Solution :
The equation of a circle with center (h,k) and radius r is given by :
Here, we are given (h,k)=(-1,1)
and radius r=4 units
So, equation of circle will be :
or
Therefore, the required equations of circle are
and
Answer:
True
Step-by-step explanation:
Answer:
1.5
Step-by-step explanation:
y = k ÷ x
yx = k
y = 6 , x = 3
6 • 3 = k
18 = k
when y = 12 , x = ?
yx = k
12x = 18
x = 18÷12
x = 3/2
x = 1.5
