Answer:
8sin(x)cos³(x)
Step-by-step explanation:
sin(4x) +2 sin(2x) = 2sin(2x)*cos(2x) + 2sin(2x) = 2sin(2x)(cos2x + 1)=
= 2sin(2x)(cos²x - sin²x + cos²x + sin²x)=²2sin(2x)*(2cos²x)=
= 4*2sin(x)*cos(x)*cos²(x)= 8sin(x)cos³(x)
Answer:
60
Step-by-step explanation:
We have to find least common denominator for these fractions or we just have to find the least common multiple for 15, 6 and 4
In order to find the least common multiple, we have to represent these numbers as factors of prime numbers:
15 = 3 * 5
6 = 2 * 3
4 = 2 * 2
Least common multiples will be common factors (considering that there are no more than of them in other numbers) and the uncommon factors. Then, we can write that:
2 * 2 * 3 * 5 = 60 (there are two 2's, one common 3 and an uncommon 5)
The denominator will be 60 for the least common multiples.
Answer:3.25 gallons
Step-by-step explanation:48 miles÷2 gallons =24 miles
Every 24 miles equals 1 gallon
So 78 ÷ 24= 3.25
3.25 gallons
Number 7 is A and number 8 is C, i’ve had this before