Answer:
22.3838476568 in²
Step-by-step explanation:
First you would find the area of sector (yellow). The formula is 75/360 x π x 3².
this is equal to 5.89048622548. Now the total circle area is 3²xπ = 28.2743338823. 28.2743338823 - 5.89048622548 = 22.3838476568 in²
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Answer:
x=-1 and y=-5
Step-by-step explanation:
ሰላም!
Given expressions let them given as two equations
- y=2+7x....... equation (1)
- -2x+6y=-28..... equation (2)
Thus, substitute y=2+7x into equation (2)

simplify it

subtract 12 from both sides

divide both sides by 40

Therefore, as we get the value of x=-1 substitute it to equation (1) and solve for variable y

To be more sure make a cross check on both of the two expressions
Thus,
1) y=2+7x .... substitute y=-5 and x=-1 and check if it is equal
-5=2+7(-1)
-5=2-5
-5=-5
2)-2x+6y=-28... substitute and check
-2(-1)+6(-5)=-28
2-30=-28... (-a)(-b)=ab
-28=-28
Hope it helps!
9514 1404 393
Answer:
range: 5 ≤ f(x) ≤ 205
Step-by-step explanation:
You can put the extreme values of x in this linear function to see its range:
f(0) = 4·0 +5 = 5
f(50) = 4·50 +5 = 205
The range is 5 ≤ f(x) ≤ 205.
Answer:
a^2 - 3
Step-by-step explanation:
(3a^2 + 1) - (4 + 2a^2)
3a^2 + 1 - 4 - 2a^2
a^2 - 3