Answer:
I think it's either 10√3 or 10
Answer:
a) P = 2/7
b) P = 4/7
c) P = 1/7
Step-by-step explanation:
In the range of [2,8], we have the following integers which are: 2, 3, 4, 5, 6, 7, 8. So this is a total of 7 integers.
a) We look for the probability that the numbers are less than 4, so we conclude that there are possible numbers 2 and 3 out of possible 7, so the required probability is equal to P = 2/7.
b) We look for the probability that the numbers are greater than 4, so we conclude that there are possible numbers 5, 6, 7, 8 out of possible 7, so the required probability is equal to P = 4/7.
c) Based on the previous two examples, we conclude that the required probability is P = 2/7· 1/2=1/7.
Answer:
7. 1520.53 cm²
8. 232.35 ft²
9. 706.86 m²
10. 4,156.32 mm²
11. 780.46 m²
12. 1,847.25 mi²
Step-by-step explanation:
Recall:
Surface area of sphere = 4πr²
Surface area of hemisphere = 2πr² + πr²
7. r = 11 cm
Plug in the value into the appropriate formula
Surface area of the sphere = 4*π*11² = 1520.53 cm² (nearest tenth)
8. r = ½(8.6) = 4.3 ft
Plug in the value into the appropriate formula
Surface area of the sphere = 4*π*4.3² = 232.35 ft² (nearest tenth)
9. r = ½(15) = 7.5 m
Surface area of the sphere = 4*π*7.5² = 706.86 m² (nearest tenth)
10. r = ½(42) = 21 mm
Plug in the value into the formula
Surface area of hemisphere = 2*π*21² + π*21² = 2,770.88 + 1,385.44
= 4,156.32 mm²
11. r = 9.1 m
Plug in the value into the formula
Surface area of hemisphere = 2*π*9.1² + π*9.1² = 520.31 + 260.15
= 780.46 m²
12. r = 14 mi
Plug in the value into the formula
Surface area of hemisphere = 2*π*14² + π*14² = 1,231.50 + 615.75
= 1,847.25 mi²
Perimeter is adding the 3 sides together. Since both triangles have the same perimeter set both triangles to equal:
(x+3 + x+3 + x+3) = (x+3 + 2x-3 + x)
Simplify each side:
3x+9 = 4x
Subtract 3x from each side:
x=9
. Clearly, 1/2 is rational and its decimal expansion is equal to 0.5, while 
is irrational and has a non-repeating, non-terminating decimal expansion. When you add the two, you are obviously going to get a non-repeating, non-terminating decimal expansion, hence the sum is irrational.