Answer:
B.) 
Step-by-step explanation:
Given:
We need to rewrite the given expression as single trigonometric function.
Now According to reciprocal Identities given:
Also Given;
Sow when 
and when 
Hence the Single trigonometric function is 
.
Answer:
31 oranges
Step-by-step explanation:
Let n be the number of oranges and m be the number of bags Mr. Teo has.
If he packs 5 oranges in each bag, then he packs 5m oranges in m bags and since he is short of 4 oranges,
If he packs 4 oranges in each bag, then he packs 4m oranges in m bags and since he has 3 oranges left,
Equate right sides of these two equations:
Hence,
Number of ways to choose a hat = 3
Number of ways to choose a shirt = 4
Number of ways to choose a pant = 2
According to the fundamental rule of counting, the total ways to make a dress will be the product of the individual numbers an item can be chosen.
So,the number of outfits that can be made = 3 x 4 x 2 = 24 outfits.
Hence, the person can make 24 different outfits.
Answer:
498
Step-by-step explanation:
6 × 83
Using distiributive property
We can solve the expression by using a method called decomposing the multiplier.
= 6 × (80 + 3)
= 6 × 80 + 6 × 3
= 480 + 18
= 498
The Distributive Property is an algebra property which is used to multiply a single term and two or more terms inside a set of parentheses.
The Distributive Property tells us that we can remove the parentheses if the term that the polynomial is being multiplied by is distributed to, or multiplied with each term inside the parentheses.
If a number outside the parentheses has a negative sign then the first and simplest way is to change each positive or negative sign of the terms that were inside the parentheses. Negative or minus signs become positive or plus signs. Similarly, positive or plus signs become negative or minus signs.
