Answer:
Step-by-step explanation:
-3 +2 +-1 +-2 +-3 +1 = -6 yards total
-6 / 6 = -1 yard per play average
Answer:
the line perpendicular: x=-3
Step-by-step explanation:
Answer:
a. 61.92 in²
b. 21.396 ≈ 21.4%
c. $4.71
Step-by-step explanation:
a. Amount of waste = area of rectangular piece of stock - area of two identical circles cut out
Area of rectangular piece of stock = 24 in × 12 in = 288 in²
Area of the two circles = 2(πr²)
Use 3.14 as π
radius = ½*12 = 6
Area of two circles = 2(3.14*6²) = 226.08 in²
Amount of waste = 288 - 226.08 = 61.92 in²
b. % of the original stock wasted = amount of waste ÷ original stock × 100
= 61.92/288 × 100 = 6,162/288 = 21.396 ≈ 21.4%
c. 288 in² of the piece of stock costs $12.00,
Each cut-out circle of 113.04 in² (226.08/2) will cost = (12*113.04)/288
= 1,356.48/288 = $4.71.
Answer:
The option B is the correct answer. 79.18 m²
Step-by-step explanation:
Surface area = Base area + Lateral surface area
Area of triangle = bh/2
b - base and h - height
<u>To find the base area</u>
We can consider the base is a hexagon.
A regular hexagon is a combination of 6 equilateral triangle
Base area = 6 * area of triangle
base b = 3
<u>To find the height</u>
h =√[(6.2)² - (5.6)₂] = 2.7
Area of triangle bh/2 = (3 * 2.7)/2 = 3.99
Area of base = 23.95
To find lateral surface area
Lateral surface area = 6 * area of triangle
Area of triangle = bh/2 =(3 *6.2)/2 = 9.3
Lateral surface area = 6 * 9.3 = 55.8
<u>To find the total surface area </u>
Total surface area = Base area + lateral surface area = 23.95 + 55.8
= 79.75 m²
Therefore the option B is the correct answer. 79.18 m²
2. .8333333 repeated 3x1\3 is 1 the 1x5\6 is .83
3. Order of operations PMDOS 30\2 first giving you 15 then take 50-15=35
4. 10x1.5=15
5. 20+30 first because of order of operations then multiply by 10 giving you 500
6. 120 \ 12 = 10
7. 1 + 9 = 10
8. 0.15-0.02=.13x100 = 13
9. 4.9/0.07=70
