Answer:
8%
Step-by-step explanation:
Original perimeter is 100cm
- The 20cm is representative of the width
- 30cm is representative of the length
length is increased by 10%
- 30+(.10 x 30)
- (1 + .10) × 30
- (100% + 10%) × 30
- 110% × 30
- 110 ÷ 100 × 30
- 110 × 30 ÷ 100
- 3,300 ÷ 100
- = 33
length is increased by 5%
- 20 + (5% × 20) =
- 20 + 5% × 20 =
- (1 + 5%) × 20 =
- (100% + 5%) × 20 =
- 105% × 20 =
- 105 ÷ 100 × 20 =
- 105 × 20 ÷ 100 =
- 2,100 ÷ 100 =
- = 21
New perimeter: 108 cm
Percentage increase:
- (108-100):100*100 =
- (108:100-1)*100 =
- 108-100 = 8
- = 8%
Hopefully this helps
X-5/x<4
times both sides by x
x²-5<4x
minus 4x both sides
x²-4x-5<0
factor
(x-5)(x+1)<0
hmm
special points at x=-1 and x=5
when x=-2, we get 10<0 which is false
when x=0, we get -5<0 which is true
when x=6, we get 7<0 which is false
so the solution must be the range between -1 and 5
so if x<0
whaat
just pick the 3rd grah
Answer:
Surface Area: 1008π OR 3166.73
Volume: 4320π OR 13,571.68
Step-by-step explanation:
Surface Area Equation:
2πrh+2πr^2
Work:
2π (12) (30) + 2π12^2
2π(360) + 2π(144)
720π + 288π
1008π OR 3166.73
Volume Equation:
πr^2h
Work:
π12^2 (30)
π144 (30)
4320π OR 13,571.68