Answer:
$100
Step-by-step explanation:
Answer:
1/6
Step-by-step explanation:
The x-coordinate of the vertex is always the x-value of the axis of symmetry. The vertex can be found by 
. If we look at this equation as 
,
and 
.
When you plug those values into the x equation you get 
.
Answer:
<u>We observe that this is a GP with:</u>
- the first term t₁ = 5
- common ratio r = -2
<u>The nth term is:</u>
8) v=1/3 x 6^2 x 11
= 132cm^3
10) 80ft^3
11) 72km^3
Hope this helps!!
You need to use a ratio of height (H) to shadow length (L) to solve the first problem. It's basically a use of similar triangles, with two perpendicular sides, and with the shadow making the same angle with the vertical.
6 ft = 72 ins, so that rH/L = 72/16 = 9/2 for the player.
So the bleachers are 9/2 x 6 ft = 27 ft.
For the second problem, 9 ft = 108 in, so that the ratio of the actual linear dimensions to the plan's linear dimensions are 9ft/(1/2in) = 2 x 108 = 216.
So the stage will have dimensions 216 times larger than 1.75" by 3".
That would be 31ft 6ins x 54ft.
Live long and prosper.
