Answer:
C) 0 ≤ x ≤ 25
Step-by-step explanation:
We are supposed to find a reasonable constraint so that the function is at least 300 i.e. the value of x at which f(x) is greater or equal to 300
A)x ≥ 0
Refer the graph
At x = 0
f(x)=300
On increasing the value of x , f(x) increases but at x = 12 it starts decreasing
So, x ≥ 0 can also have f(x)<300
So, Option A is wrong
B)−5 ≤ x ≤ 30
At x = -5
f(x) = 100
So, Option B is wrong since we require f(x) is greater or equal to 300
c)0 ≤ x ≤ 25
At x = 0
f(x)=300
At x = 12 , it starts decreasing
At x = 25
f(x)=300
So, The value of f(x) is at least 300 when 0 ≤ x ≤ 25
D)All real numbers
At x = 30
f(x)=0
But we require f(x) greater or equal to 300
Hence Option C is true
Answer:
Area of Pool cover: 110.25π
Length of rope: 21π
Step-by-step explanation:
To find the area of a circle the formula is πr^2.
1. take 10.5, which is half of the diameter and multiply it by itself then multiply by pi(π). Answer is 110.25π
To find the length of the rope(circumference) the formula is 2πr.
1. Take r, which we established as 10.5 then multiply it by 2, which is 21. Then multiply by π. Answer is 21π
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If ur teacher wants you to use 3.14 as pi then these are your answers:
Area of Pool cover: 346.185, round up to 346.19 if needed
Length of rope: 65.94
X + x - 1 + 43 = 180. Solve for x. 2x +42 = 180 and 2x = 138. Therefore, x = 69. If x = 69, then angle H is 68 and angle G is 69. 68 + 69 + 43 = 180.
9t = 27.99
5t = ?
Cross-multiply : 9t? = 139.95t
?=15.55
