tan-1 ( 2/6) =
tan-1 ( 1/3) =
18.4°
Make sure your calculator is set to degree mode.......
3.
Area of rectangle + area of triangle
Base * height + (1/2) Base * Height
9 * 13 + (1/2) (11) * (13 - 8) =
9 * 13 + (1/2) (11) (5) =
117 + (1/2) (55) =
117 + 27.5 =
144.5 cm^2
4. Area of parallelogram = Base x Height
240 = Base x 20 divide both sides by 20
12 cm
Number of tickets x Price per ticket =
428 x $9 =
$3852
(-2, 3) (4, 3) (4, -4) (-2, -4)
Rearrange these
(-2, 3) (-2, -4) (4, 3) (4, -4)
See the image below :
The dimensions = Base x Height = 6 x 7
Area =
(1/2) Base * Height =
(1/2) Height * Base =
(1/2) 4 * 17 =
2 * 17 =
34 cm^2
5x - 15 : 6 - 2x rewrite the right side
5x - 15 : -2x + 6 factor
5(x - 3) : -2 ( x - 3) divide by (x - 3)
5 : - 2
Area = base * height =
2.7 cm * 5.2 cm =
14.04 cm^2
By "length"....I'm assuming that you mean "height"
Surface area of bottom = pi^r^2 plus
Surface area of the side = pi * r * √ (r^2 + h^2)
So we have
pi * (8)^2 + pi * 8 * √ [ 8^2 + 16^2 ] ≈ 650.65 square units
72 / (4+2)^2
72/ (6)^2
72 / 36
2
5(2x-3) + 7 ≥ (2/3) (6x+3) simplify
10x - 15 + 7 ≥ 4x + 2
10x - 8 ≥ 4x + 2 add 8 to both sides, subtract 4x from both sides
6x ≥ 10 divide both sides by 6
x ≥ 10 / 6
x ≥ 5 / 3
