Step-by-step explanation:
-6.5m + 14.3 < -22.75
-6.5m < -37.05
6.5m > 37.05
m > 37.05/6.5 = 5.7
m > 5.7 for this inequality to be true
Answer: The length of the second arc is 12 feet.
Step-by-step explanation:
Since we know that
A rope is swinging in such a way that the length of the arc is decreasing geometrically,
Length of first arc = 18 feet
Length of third arc = 8 feet
Let the length of second arc be x
As we know that
Hence, the length of the second arc is 12 feet.
Answer:
7%
Step-by-step explanation:
add all numbers up get 21 then divide by 3 and get 7
Area of the three equally sized stripes: A
A=(x+15)(x)(3)
A=3x(x+15)
A=3x^2+45x
One gallon of paint will cover an area of no more than 400 square feet: <=400
She only has half of a gallon of paint left:
1/2(400 square feet)=400/2=200 square feet
Inequality that could be used to find the maximum height, in feet, of each stripe:
A<=200
3x^2+45x<=200
Answer: 3x^2+45x <= 200
Could her stripes be 3' tall?
x=3→A=3(3)^2+45(3)=3(9)+135=27+135→A=162<200 Ok
Yes, her stripes could be 3' tall.
Answer: Yes
Could her stripes be 4' tall?
x=4→A=3(4)^2+45(4)=3(16)+180=48+180→A=228>200 No
No, her stripes couldn't be 4' tall.
Answer: No
