Answer:
we have x = -62 or x = 66
Step-by-step explanation:
16=(x-2)^2/3
I would take square root first
4 = (x - 2)^ (1/3)
or -4 = (x - 2)^(1/3)
.....
4^3 = x - 2
64 = x - 2
x = 66
or -4 ^3 = x - 2
-64 = x - 2
x = -62
we have x = -62 or x = 66
I'm going to convert all the values given to you in percentages, so hopefully you should be able to see the correct answer a little clearer. :)
Debbie said that 21/50 drink coffee in the morning. 21/50 can also be written as 42/100, and now that it's out of 100, it's basically a percentage. (42%).
Allen said that 45% of people drink coffee in the morning. His value is already written as a percentage, so we won't do anything with it.
Benny says that 0.495 of the people he surveyed drink coffee in the morning. 0.495 is the same as 49.5% (multiply it by 100 to get it in a percentage).
So, in Debbie's survey, 42% of people drink coffee.
In Allen's survey, 45% of people drink coffee.
In Benny's survey, 49.5% of people drink coffee.
Therefore, the answer is Benny's survey. :)
Answer:
64
Step-by-step explanation:
180-52/2=128/2=64
Answer:
11.6--------------------------------------
Explanation:
See the attached image for a visual reference
The distance from point D to E is 21 units. Point C is the midpoint, so CD is 10.5 units long (21/2 = 10.5)
We have a right triangle ACD. The legs are
AC = 5
CD = 10.5
The hypotenuse is
AD = x
Because AD is another radius of the same circle
Use the pythagorean theorem to find x
a^2 + b^2 = c^2
5^2 + 10.5^2 = x^2
25 + 110.25 = x^2
135.25 = x^2
x^2 = 135.25
x = sqrt(135.25)
x = 11.629703349613
which rounds to
11.6 when rounding to the nearest tenth (one decimal place)
First put the words in an algebraic format or a model. D = 3.5(√H). Now determine what the question is asking. It's height. Plug in the value of D. Distance is 35 km.
35 = 3.5(√H) We want to get H by itself. First thing to get away from it is 3.5. So divide 35 by 3.5 And 3.5(√h) by 3.5.
10 = √H To get rid of √ do the opposite raise to the power of 2
10² = (√H)²
100 = H
You must be 100 kilometers above ground to see 35 kilometers