Answer:
x∈(20/3;26/3)
Step-by-step explanation:
12 < 2x-4/3 < 16
first we add 4/3 to each side
12+4/3<2x<16+4/3
we bring to the same denominator
12*3/3+4/3<2x<16*3/3+4/3
(36+4)/3<2x<(48+4/3)
40/3<2x<52/3
now we divide by 2
20/3<x<26/3
x∈(20/3;26/3)
You need to add up three things:
- two sides of 60" each (60*2=120")
- the perimeter of the upper semicircle (3.14*27/2=42.412")
- the perimeter of the lower semicircle (3.14*27/2=42.412")
After addition:
120+42.412+42.412=204.823"
I hope you got
the idea!
Answer:
$4
Step-by-step explanation:
Answer:
x = 4 or x = (-3)/2
Step-by-step explanation:
Solve for x over the real numbers:
2 x^2 - 5 x - 12 = 0
x = (5 ± sqrt((-5)^2 - 4×2 (-12)))/(2×2) = (5 ± sqrt(25 + 96))/4 = (5 ± sqrt(121))/4:
x = (5 + sqrt(121))/4 or x = (5 - sqrt(121))/4
sqrt(121) = sqrt(11^2) = 11:
x = (5 + 11)/4 or x = (5 - 11)/4
(5 + 11)/4 = 16/4 = 4:
x = 4 or x = (5 - 11)/4
(5 - 11)/4 = -6/4 = -3/2:
Answer: x = 4 or x = (-3)/2