<u>Part A:</u>
For the function f(x) = 1 - (4)^x -> y -intercept = 0
For the given table we are given the point (0, 2) -> y-intercept = 2
For the graph we can see that the graph intersects the y-axis at point "(0, 1)"
-> the y-intercept = 1
The table has the greatest y-intercept
<u>Part B:</u>
Function: f(x) = 1 - (4)^2 = 1 - 16 = - 15,
Table: Given g(x) (output) = 6
Graph: Output = -7
The table again has the greatest output
Answer:
$43.70
Step-by-step explanation:
90.50 - 4 = 87.50
87.50 ÷ 2 = $43.70
¯\_(ツ)_/¯
Step-by-step explanation:
it filled up half the circle (up to the center point) - if we had a full circle. but a little bit is cut off (below AB).
what we see is that the shaded area is the sum of the area of the triangle AOB and 2 equally sized circle segment areas left and right of AOB.
since we are dealing with a half-circle, we have 180° in total. 120° are taken by AOB, so, that leaves us with 180-120 = 60° for both circle segments (so, one has an angle of 30°).
and 2×30° = 1×60°, so we can calculate the area of one 60° segment instead of two 30° segments.
AOB is an isoceles triangle (the legs are equally long, and therefore also the 2 side angles are equal).
the area of this triangle AOB is
1/2 × a × b × sin(C) = 1/2 × 3 × 3 × sin(120) =
= 3.897114317... m²
a circle segment area of 60° is 60/360 = 1/6 of the full circle area (as a full circle = 360°).
so, it's area is
pi×r² × 1/6 = pi×3²/6 = pi×3/2 = 4.71238898... m²
so, the total area of the shaded area is
3.897114317... m² + 4.71238898... m² =
= 8.609503297... m²
Answer:
194.8 miles
Step-by-step explanation:
510 - 315.2 = 194.8
Hope this helps!
Do 36 divided by the amount of sides the hexagon has. I think I am not sure
