Answer:1) 2n - 1
2) 99
see in the picture, u can see that the number of shaded in figures 1 through n will form an evenly spaced sequence with:
u(1) = 1
u(2) = 3
u(3) = 5
u(4) = 7
u(5) = 9
......
=> The above sequence has: u1 = 1
d = 2
=> u(n) = 1 + 2(n - 1) = 2n - 1
=> the number of shaded squares in the n figure is 2n - 1
b) the number of shaded squares in the 50th figure is 2.50 - 1 = 99
Step-by-step explanation:
Well that would not work 5.25x2=10.5 5.25x3=15.75
<span>−<span>4<span>(<span>x−12</span>)</span></span></span><span>=<span><span>(<span>−4</span>)</span><span>(<span>x+<span>−12</span></span>)</span></span></span><span>=<span><span><span>(<span>−4</span>)</span><span>(x)</span></span>+<span><span>(<span>−4</span>)</span><span>(<span>−12</span>)</span></span></span></span><span>=<span><span>−<span>4x</span></span>+<span>48</span></span></span>
Answer:
the length of the dumpster is 22ft
Step-by-step explanation:
We know that the formula to calculate the volume of a rectangular prism is width by height by length.
w = width
h = height
l = length
w * h * l = v³
we replace the values we know
8ft * 5ft * l = 880ft³
l = 880ft³ / (8ft * 5ft)
l = 880ft³/40ft²
l = 22ft
the length of the dumpster is 22ft