Answer:
1. 3/4 + 1/3 = 1 1/12
2. 1/6 + 2/3 = 5/6
3. 3/8 + 1/4 = 1/4
4. 1/3 + 2/5 = 11/15
5. 1/8 + 3/4 = 7/8
6. 2/5 + 7/10 = 1 1/10
7. 1/6 + 1/3 + 3/4 = 1
8. 1/10 + 3/10 + 3/5 = 1
9. 3/8 + 5/5 + 1/2 = 7/8
10. 11/16
Step-by-step explanation:
5 ft = 5 * 12 in = 60 inches
Four consecutive even numbers are: x, x + 2, x + 4, x + 6
x + x + 2 + x + 4 + x + 6 = 60
4 x + 12 = 60
4 x = 60 - 12
4 x = 48
x = 48 : 4
x = 12
Answer:
Those shelves should be: 12, 14, 16 and 18 inches long.
Verification: 12 + 14 + 16 + 18 = 60 in = 5 ft.
Answer:
8 π or
25.13 unit^3 to the nearest hundredth.
Step-by-step explanation:
(A)
The height of the shell is (2 + x - x^2) and the radius is (2 - x).
V = 2π ∫(2 - x)(x + 2 - x^2) dx between the limits x = 0 and x = 2.
= 2π ∫ (2x + 4 - 2x^2 - x^2 - 2x + x^3) dx
= 2π ∫ (x^3 - 3x^2 + 4 ) dx
= 2π [ x^4/4 - x^3 + 4x ] between x = 0 and x = 2
= 2 π [4 - 8 + 8 )
= 2 π * 4
= 8π
= 25.13 unit^3 to the nearest hundredth.
Answer:
x = 24.8
Step-by-step explanation:
2x + 12.8 + 117.6 = 180
Then solve.
2x + 130.4 = 180
2x = 4.6
x = 24.8
