A) The first step needs 100 bricks, the second needs 98, the third needs 96, and so on. Therefore the number of bricks for the nth step is: a_n = a_1 + d(n-1), where a_1 = 100 (the first term), d = -2 (difference).
a_n = 100 - 2(n-1) = 102 - 2n, and for the 30th step, a_30 = 102 - 2*30 = 42. So the top step will need 42 bricks.
b) The total staircase will need: 100 + 98 + 96 + ... + 44 + 42, and there are n = 30 terms. Using the formula for the sum of an arithmetic sequence:
S = (a_1 + a_n)*n/2 = (100 + 42)*30/2 = 2130
Therefore, 2130 bricks are required to build the entire staircase.
Answer: If a vertical line can be drawn to touch the graph of a function in more than one place, then is NOT a function of . If it is not possible to draw a vertical line to touch the graph of a function in more than one place, then y is a function of x.
Answer: J = 14.4 cm
Step-by-step explanation:
<em>K is similar to G</em>
So we can find the scale that FHG was dilated by dividing the side length of G by the side length of K
16.56/9.2 = 1.8
So the sides of the triangle KMJ were multiplied by a factor of 1.8
to find m :
25.92/1.8 = 14.4
J = 14.4
8/2 = 4
answer: it will take Carlos 4 hours to walk 8 miles
It’s c sorry if i’m wrong!
