Answer:
20%
Step-by-step explanation:
65 and 78 are both multiples of 13. Divide both by 13, we get 5 and 6.
If we use 5 as our main value (100%), 6 would be 120% as adding 1 to the main number (5) increases it by 20%. So 6 is a 20% increase from 5.
:D
Recall Euler's theorem: if , then
where is Euler's totient function.
We have - in fact, for any since and share no common divisors - as well as .
Now,
where the are positive integer coefficients from the binomial expansion. By Euler's theorem,
so that
Answer:
The answer is 560
Step-by-step explanation:
I just had this on a exam and answered 560 and it was correct.
Answer:
Step-by-step explanation:
The expression is:
First, we will multiply the numerators together and denominators together.
This gives,
Now, we use the exponent property .
This gives,
Now, we use the exponent property
This gives,
From the properties of exponents,
So,
∠1 and ∠2 are complementary.
∠1 + ∠2 = 90°
Question a:
∠1 = 23°
∠2 = 90 - 23 = 67°
Ans: 67°
Question b:
∠1 = x
∠2 = 2x + 3
x + 2x + 3 = 90
3x + 3 = 90
3x = 90 - 3
3x = 87
x = 29
∠1 = 29°
∠2 = 2(29) + 3 = 61°
Ans: ∠1 = 29°, ∠2 = 61°