Answer:
the triangle
Step-by-step explanation:
The perimeter is the sum of the all sides of the shape.
Triangle:
3√147+2√108+2√48+3√75+ 6√12
147=49•3, 108=36•3, 48=16•3, 75=25•3, 12=4•3 that means
√147=7√3, √108=6√3, √48=4√3, √75=5√3, √12=2√3
perimeter=3•7√3+2•6√3+2•4 √3+3•5√3+6•2√3=68√3
Square:
4•1/3•√63=4/3•√9•√7=4√7
Rectangle:
2•1/4√100+2(2√48+4√75)=
5+2(8√3+20√3)=5+56√3
Now, if you use a calculator, you will find that the greatest perimeter is for the triangle shape.
You can do 2(2*12) or 4(1*6), personally I think the second one is better. Hope this helps!
Answer:
8. 1483.33
9. 21 months
Step-by-step explanation:
8. Morgan's income after taxes is 55000/12 = 4583.33 per month. The amount available after expenses is 4583.33 -3100.00 = 1483.33 per month.
Morgan is able to put $1483.33 per month into savings.
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9. If Morgan is able to save $1483.33 per month, it will take her ...
$30,000/$1483.33 ≈ 20.2
months to save $30,000. After 20 months, she won't have quite enough, so it will take her one more month to save the desired amount.
It will take Morgan about 21 months to save $30,000.
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If you like, you can write an equation for "m", the number of months it will take Morgan to save 30,000:
1483.33×m = 30,000
m = 30,000/1483.33 ≈ 20.2 . . . . . . divide by the coefficient of m
F(x) = -3(x + 2)(x - 5)^3 > 0
(x + 2)(x - 5) > 0
x + 2 > 0 or x - 5 < 0
x > -2 or x < 5
-2 < x < 5
Therefore, the stated interval is false.
