Find the prime factorization of 54
54 = 2 × 3 × 3 × 3
Find the prime factorization of 99
99 = 3 × 3 × 11
To find the GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 3 × 3
GCF = 9
Answer:
A
Step-by-step explanation:
Using the trigonometric identity
sin²x + cos²x = 1, hence
cos x =
cosΘ = √(1 - ()²
=
= = and
=
multiply numerator/ denominator by
= → A
QUESTION 1
The given inequality is
We group like terms to get,
This implies that,
or .
We simplify the inequality to get,
or .
We can write this interval notation to get,
.
QUESTION 2
.
We group like terms to get,
.
We split the absolute value sign to get,
or
This implies that,
or
or
or
We can write this interval notation to get,
.
QUESTION 3
The given inequality is
We split the absolute value sign to obtain,
or
This simplifies to
and
and
and
and
We write this in interval form to get,
QUESTION 4
The given inequality is
We split the absolute value sign to get,
or
This simplifies to,
or
This implies that,
or
or
or
We write this in interval notation to get,
Distributive property :))))
Given:
Consider the complete question is "A speed walker covered mi in hour. How far will he walk in 3/4 hours if he walks twice as fast?"
A speed walker covered mi in hour.
To find:
Distance covered by him if in 3/4 hour if he walks twice as fast.
Solution:
We have,
It means a speed walker covered mi in hour.
If the speed is twice then he can cover double distance is same time.
Distance covered by him if in 3/4 hour if he walks twice as fast is
Therefore, distance covered by him is 9 mi.