Answer:
B.24
Step-by-step explanation:
we know,
exterior angle = 360°/n(where 'n' is number of sides)
then,
15° = 360°/n
n = 360°/15°
n = 24
Answer: ![50x+100\geq18,000](https://tex.z-dn.net/?f=50x%2B100%5Cgeq18%2C000)
Step-by-step explanation:
Let w denotes a seven letter word which Sal will need to make to break the record.
Since you get 50 points for each seven-letter and 100 points for playing the game.
Then the total points earned by you by making w seven letters words will be:
![50x+100](https://tex.z-dn.net/?f=50x%2B100)
Since, Sal wants to break that record, and needs 18,000 points or more to do so.
Then , the required inequality will be :
![50x+100\geq18,000](https://tex.z-dn.net/?f=50x%2B100%5Cgeq18%2C000)
Answer:
10m x 15m
Step-by-step explanation:
You are given some information.
1. The area of the garden: A₁ = 150m²
2. The area of the path: A₂ = 186m²
3. The width of the path: 3m
If the garden has width w and length l, the area of the garden is:
(1) A₁ = l * w
The area of the path is given by:
(2) A₂ = 3l + 3l + 3w + 3w + 4*3*3 = 6l + 6w + 36
Multiplying (2) with l gives:
(3) A₂l = 6l² + 6lw + 36l
Replacing l*w in (3) with A₁ from (1):
(4) A₂l = 6l² + 6A₁ + 36l
Combining:
(5) 6l² + (36 - A₂)l +6A₁ = 0
Simplifying:
(6) l² - 25l + 150 = 0
This equation can be factored:
(7) (l - 10)*(l - 15) = 0
Solving for l we get 2 solutions:
l₁ = 10, l₂ = 15
Using (1) to find w:
w₁ = 15, w₂ = 10
The two solutions are equivalent. The garden has dimensions 10m and 15m.
The answer is: [D]: " C = 2 π r " .
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