Make a proportion ()...
The whole is 180 but we need to find the part which would be x
75 % is also a part of 100% (the whole)
The proportion would look like this...
Now cross multiply to solve for x. The work for this is below.
100x = 13500
To isolate x divide 100 to both sides
100x/100 = 13500/100
x = 135
So...
135 is 75% of 180
Hope this helped!
Answer:
False
Step-by-step explanation:
Lets call the three prime divisors of n p, q, and r, being r the largest, we know:
Now, if
then
So:
Also, for every natural greater than one, we know:
so
from which:
So, we see, this means the preposition is false, we can find a particular counterexample:
q=2
p=3
p*q = 6
We need to choose a prime greater than 6
r=7
n= 2 * 3 *7 = 42
Given the following question:
First expression:
Second expression:
Answer:
The discriminant of f is 92, and it has no real zeros
Step-by-step explanation:
The discriminant of a quadratic is , where the quadratic is in the form
. The discriminant of this one is therefore:
Since the square root of a negative number is imaginary, this quadratic has no real number zeros. Hope this helps!
Answer:
see explanation
Step-by-step explanation:
Using the sum/ difference → product formula
cos x - cos y = - 2sin( )sin (
)
sin x - sin y = 2cos ( )sin (
)
Given
(cosA - cosB)² + (sinA - sinB )²
= [ - 2sin()sin(
) ]² + [ 2cos(
)sin(
) ]²
= 4sin² ( )sin² (
) + 4cos² (
)sin² (
)
= 4sin² ( )[ sin² (
) + cos² (
) ← sin²x + cos²x = 1
= 4sin² ( ) × 1
= 4sin² ( ) = right side ⇒ proven