Answer:
77 children and 186 adults
Step-by-step explanation:
After a LONG time testing out numbers, I finally found two numbers. What I did was used the equation 3x + 5.5y = 1254. I kept filling in two numbers that can add to 263. For example, I filled in the variables with 77 and 186. Like this: 3(77) + 5.5(186) = 1254. 77 times 3 equals 231 and 186 times 5.5 equals 1023. Add those two numbers together to get 1254. So, there were 77 children and 186 adults.
When you multiply two numbers in exponential notation whose bases are the same, you just keep the base the same and add the exponents.
In this case, you have (2^6) * (2^6) = 2^(6 + 6) = 2^12.
We can change the base of 4^6 into 2:
(2^2)^6
Is this the same as 2^12? Well, when we have an expression like that above, we multiply the exponents together, so we get: (2^2)^6 = 2^12.
Therefore, Nicholas is correct.
Answer:
17.32 meters
Step-by-step explanation:
We realize the cable is the hypotenuse and then that height would be the new side, the measurement would not change once hypotenuse is found.
60 deg is the lower angle as it meets the ground base.
Sin (60) = 0.8660254038 x 20 = 17.32m
0.86 reduction = a
We use Sin (60) = a a x 20 to find the pole as above.
We use Tan (60) x base to find 20m to check hypotenuse if base was given = length of floor x tan(60) etc.
Step-by-step explanation:
2x + 5 = 3x - 2
3x - 2x = 5 + 2
x = 7
Therefore x = 7
The answer as a simplified fraction is
1/25
