Step-by-step explanation:
1. 10s2 + 10s2 - 13st = 20s2-13st
2. 13st + - 2st - t2 = 11st - t2
3. x2+ x2 + x3= 2x2 + x3
4. 6 x - 6 x + 2=X+2
5. 24x - 3s - 4t=24x - 3s - 4t
6. 86 + 86x - 1=85+86x
7. 4x + 3x - 2 =7x - 2
8. 7s - 4s + 3s =6s
9. 12 +11x - 10 x = 12+x
10. 12x + 24 x - 3 x - 4 =33x -4
11. 16t + 8t - 12t =12t
12. 17g + 19g - 2g +g =35g
13. 16 + 16 -16 + 16x =16+16x
14. 4s - 3s + 3s =4s
15. 12t - 11t + t =2t
Answer:
The area of rug is 48.9 m^2
Step-by-step explanation:
Let's assume radius of rug is r m
we know formula for circumference as

we are given
C=24.8
and then we can solve for r


now, we can use area formula

we can plug r
and we get


So,
The area of rug is 48.9 m^2
Answer:
6.
Step-by-step explanation:
1) OA=d/2=20/2=10;
2) AB=AC/2=16/2=8;

Foil it out:
(7x)(4x)+(7x)(9)+(-8)(4x)+(-8)(9)
28x^2+63x-32x-72
28x^2+31x-72
Answer: 19/12 pounds or 1.583 pounds
Step-by-step explanation:
Let a pound be represented by x. So x = 1 pound.
5/6 of a pound is the same as multiplying 5/6 × x. It becomes 5/6 × x = 5x/6
3/4 of a pound is the same as multiplying 3/4 × x. It becomes 3/4 × x = 3x/4
We want to look for 5/6 of a pound + 3/4 of a pound.
It becomes
5x/6 + 3x/4
Taking lowest common multiple(LCM) of 12, it becomes
= (2×5x + 3×3x) / 12
= (10x +9x)/12
= 19x /12
Substituting x = 1 pound,
It becomes 19/12 pounds
Expressing in decimal, 19/12 = 15.83
We can also solve from the beginning in terms of decimals
5/6 pounds = 0.833 pounds
3/4pounds = 0.75 pounds
5/6 pounds + 3/4 pounds = 0.833 + 0.75 = 1.583 pounds