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
So for this you would have to use the pythagorean theorem which is α²+b²=c². The 12 yards would be a and the distance between the 60 yard line and 50 yard line which is 5 would be b and you would be trying to find out what c is.
a²+b²=c²
12²+5²=c²
144+25=c²
169=c²
now you want to get c alone and in order to do that we would square root it and i'm sure you have learned that what you do on one side you have to do to the other so we would also square root 169
√169=√c²
13=c
the pass was 13 yards
hope i helped :)
Answer:
1 2 and 3
Step-by-step explanation:
Hopefully this helps
Answer:
The answer is $19.44
Step-by-step explanation:
First you have to find 25% of $28.80 (which is 7.20). Then, you subtract the $7.20 from your 28.80. You do that because you are getting a 25% discount. Then, you find 10% of $21.60 (your answer for the 25% discount) and you subtract 10% of $21.60. After that, you get your total of $19.44.
I hope you find this helpful.
Answer:
42.86
Step-by-step explanation:
