Answer:
√33 cm ≈ 5.745 cm
Step-by-step explanation:
Let b represent the third side. If the third side is not the hypotenuse, then the longest of the given sides must be the hypotenuse. The Pythagorean theorem tells us ...
4^2 + b^2 = 7^2
b^2 = 49 -16 = 33 . . . . . . . . subtract 16
b = √33 ≈ 5.745 . . . . . . . . . take the square root
The third side is √33 cm long, about 5.745 cm.
Alright, we just need to reverse some operations done unto 43. Subtract the 15 from her collection.
43 - 15 = 28.
Sold half? Times half.
28 * 2 = 56
Make sure it works:
56 - 28 = 28. 28 + 15 = 43.
She had 56 cards to start with.
Circumference of a white oak tree:
C = 90 in.
C = 2 r π
2 r π = 90
r · 6.28 = 90
r = 90 : 6.28
r = 14.33 in ( but it is not r in the formula )
Since the bark is 0.5 in thick: r = 14.33 - 0.5 = 13.83 in
a = r : w = 13.83 : 0.2 = 69.15 years
The widest ring is one that shows 69 years:
r = 69 · 0.2 = 13.8 in
A = r² π = 13.8² · 3.14 = 190.44 · 3.14 = 597.98 in²
Answer: The tree`s age is 69.15 years ( or 69 years and 2 months ) and the area enclosed by the outer circumference of the widest ring is 597.98 in².
Answer:
c = 6
Step-by-step explanation:
The compound inequality is c < x < 5
If we want a value of c such that there are no solutions, we need to make that inequality false.
From the inequality we can see that 5 must be greater than c to be true.
Therefore, we need to choose a value smaller or equal than 5.
For example, c=6.
If c = 6, that means that x is greater than 6 and smaller than 5. That's impossible, there is no number that meets that.
Therefore, our compound inequality 6 < x < 5 has no solutions.