Answer:
40
Step-by-step explanation:
Divide 12 by .40 (the percentage) to figure out what the full number would be.
9514 1404 393
Answer:
y = -3x
Step-by-step explanation:
The slope formula gives the slope of the segment between the given points.
m = (y2 -y1)/(x2 -x1)
m = (-3 -(-5))/(2 -(-4)) = 2/6 = 1/3
The slope of the perpendicular line is the opposite reciprocal of this, so is ...
m' = -1/(1/3) = -3
A perpendicular line is ...
y = -3x
15% = 0.15
15% of 71.85 is equal 0.15*71.85 ≈ 10.78
Answer:
1. 70.
2. 29.
3. 442.5
4. 289.
5. 632.
Step-by-step explanation:
The key to doing these is to split the polygons into rectangles, triangles or trapezoids as appropriate.
For example, number 1 consists of a rectangle area 8 * 8 and another of 3* 2.
So the area = 64 + 6 = 70 unit^2.
2. The area = sum of 3 rectangles 1*1 + 4*6 + 2*2.
3. Area = 11*15 + 11*15 + 1/2*15*15
4. Area = 18*12 + 1/2 * 6 * 15 + 1/2 * 7 * 8.
5. Area = area of 2 rectangles + area of a trapezoid.
= 18 * 24 + 4*10 + 1/2(12 + 20) * 10.