Answer:
Step-by-step explanation:
P = perimeter = 114
P =2 * length +2* width
P = 2(2x - 3) + 2(x)
114 = 4x-6 + 2x
114 = 6x -6
19 = x -1
20 = x
check it
2( 2x -3)+2x = ?
4x -6 +2x=?
6x -6 = ?
6(20)-6 =?
120-6 = 114
yep this is correct
Answer:
Step-by-step explanation:
The total surface area simply consists of three rectangles and two triangles. To find the total surface of the figure, find the sum of each of the shapes that make up the outside of the figure:
2 triangles: 2 x 1/2 x 6 x 8 = 48 ft^2
First rectangle: 6 x 12 = 72 ft^2
Second rectangle: 8 x 12 = 96 ft^2
Third rectangle: 10 x 12 = 120 ft^2
*Note: One of the dimensions is in yards, so make sure to convert it to ft (1 yd = 3ft)
Thus, the total surface area of the figure is 48+72+96+120 = 336 ft^2.
Answer:
Step-by-step explanation:
<u>Shaded area is the difference in the areas of big and small circles.</u>
- Circle area formula: A = πr²
- A = π(5²) - π(3²) = π(25 - 9) = 16 π = 50.2654824574 ≈ 50.27cm²
Answer:
42
Step-by-step explanation:
One angle of a regular pentagon = 108°
One angle of a regular hexagon = 120°.
One angle of a square = 90°
∴ ∠BAC = 360 – (108 + 20 + 90) 360 – 318 = 42°
Answer:
77.77 or 78%
Step-by-step explanation:
She got 35/45 so
35 divided by 45 is 0.777777778
0.777777778 x 100 = 77.7777778
77.77% or 78%
