Step-by-step explanation:
100 = ( 8 + 2x) ( 10 + 2x )
100 = 80 + 36x + 4x ^2 ( binomial product )
80 + 36x + 4x^2 = 100
80 + 36x + 4×^2 - 100 = 100 - 100
4x^2 + 36x - 20 = 0
I am not able to write the next steps but you can use symbolab to find out the answer and for the clear understanding
I am reay sorry
use symbolab app
Answer:
<h2>Option C = 78,125</h2>
Step-by-step explanation:
First prime factorize 135,
135 = 5×3×3×3
Now prime factorize 128,
128=2×2×2×2×2×2×2 = 2^7
the highest prime factor of 135 is 5,
Let 5 be x
the highest power of the lowest prime factor of 128 which is the power 2 is 7
Let 7 be y
According to the question x^y = 5^7
<h3>= 78,125</h3>
So each digits can only be selected once.
Let's start counting desired outcome.
Hundred position need to be at least 8. There is only one possible digits. So we will go with 8 and then there are 7 remaining digits.
One position can only be 2,4,6. because we need number to be even. So that's 3 possible digits. We will take one. 6 digits remaining.
Ten position can be anything so that would be 6 possible digits.
So the number of desired outcomes is 3·6 = 18.
Now count all outcomes.
Hundred, ten, and one position can get any digits
So that's 8·7·6 = 336
So the probability would be 18 / 336 = 3 / 56 ≈ 0.0536
Hope this helps.
6.7 x 10x1. Move decimal once to the right to make 6.7
To solve this problem you must apply the formula for calculate the surface area of a circle, which is shown below:
SA=πir^2
where r is the radius of the circle
r=18 inches
By substituying values, you have that the surface area is:
SA=π(18 in)^2
SA=324π in^2
The answer is 324π in^2
