4
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Answer:
21 square feet
Step-by-step explanation:
To find out the area of this irregular figure, divide it into two rectangles and add their areas.. This can be done in two ways.
Version 1: 6 * 2 rectangle and 3 * 3 square
(6 * 2) + (3 * 3)
12 + 9
21 sq. ft.
Version 2: 5 * 3 rectangle + 2 * 3 rectangle
(5 * 3) + (2 * 3)
<em>You could really just do 7 * 3 here.</em>
7 * 3
21 sq. ft.
Either way, you still get 21 square feet as your answer.
Answer: the most straight-forward way to prove this is to plug -5 in the equation as the value of x. If the the equality holds, it is proven that x=-5:
3x+1=-14 | use x=-5
3(-5)+1=-14
-15+1=-14
-14=-14 --> equality holds --> x=-5 is a solution to 3x+1=-14
9514 1404 393
Answer:
6
Step-by-step explanation:
The slope of the line between (3, 3) and (4, 9) is given by the slope formula:
m = <average rate of change> = (y2 -y1)/(x2 -x1)
m = (9 -3)/(4 -3) = 6/1
m = 6
The average rate of change on the interval [3, 4] is 6.
Answer:
200π
Step-by-step explanation:
Surface area is abbreviated to SA
TOTAL SA of cone = Base area + πrl
Base area = πr² = π x 8² = 64π
Curved SA = πrl = π x 8 x l
to work out l, use pythagoras theorem: √(15)² + (8)² = 17
so, curved SA = π x 8 x 17 = 136π
Total SA of cone = 64π + 136π = 200π