I think it is 50? (Sorry if im wrong tho.)
Answer:
Since we have a 30° - 60° - 90° triangle, we can calculate any side by knowing at least one out of three:
Since the length of the hypotenuse is twice as long as the shorter leg, we have:
The length of the short leg is: 25/2 = 12.5
Since the length of the longer leg is equal to the length of the shorter leg
multiply by square root of 3 we have:
The length of the longer leg is: 12.5 × √3 ≈21.65
=> The perimeter of the triangle is: 25 + 12.5 + 21.65 = 59.15
I think it's 1 3/4. I had one similar earlier.
Use the rules of logarithms and the rules of exponents.
... ln(ab) = ln(a) + ln(b)
... e^ln(a) = a
... (a^b)·(a^c) = a^(b+c)
_____
1) Use the second rule and take the antilog.
... e^ln(x) = x = e^(5.6 + ln(7.5))
... x = (e^5.6)·(e^ln(7.5)) . . . . . . use the rule of exponents
... x = 7.5·e^5.6 . . . . . . . . . . . . use the second rule of logarithms
... x ≈ 2028.2 . . . . . . . . . . . . . use your calculator (could do this after the 1st step)
2) Similar to the previous problem, except base-10 logs are involved.
... x = 10^(5.6 -log(7.5)) . . . . . take the antilog. Could evaluate now.
... = (1/7.5)·10^5.6 . . . . . . . . . . of course, 10^(-log(7.5)) = 7.5^-1 = 1/7.5
... x ≈ 53,080.96
