Answer: the area is 224
Step-by-step explanation:
.875 seconds
a=360t
b=280t+(280*.25)
360t=280t+(280*.25)
360t=280t+70
80t=70
t=.875
Answer:
is used to prove the given equation.
Step-by-step explanation:
We have given an equation:

We will consider right hand side first
tan x can be written as:

So, on substituting tan x in the left hand side of the given equation we get:

Cancel common term from denominator and numerator which is cosx we get

And we have an identity:


Hence, right hand side is equal to
.
Keywords:
<em>Medium sodas, buy, dollars, divide
</em>
For this case we must find the amount of medium sodas that Natalie's group can buy, taking into account that they have 20 dollars and that each medium soda costs 1.25 dollars. To solve, we must divide:
Let "x" be the number of medium sodas you can buy, then:

So, Natalie's group can buy 16 medium sodas with 20 dollars
Answer:
16 medium sodas
Factor the following:
15 x y - 45 x - 6 y + 18
Factor 3 out of 15 x y - 45 x - 6 y + 18:
3 (5 x y - 15 x - 2 y + 6)
Factor terms by grouping. 5 x y - 15 x - 2 y + 6 = (5 x y - 2 y) + (6 - 15 x) = y (5 x - 2) - 3 (5 x - 2):
3 y (5 x - 2) - 3 (5 x - 2)
Factor 5 x - 2 from y (5 x - 2) - 3 (5 x - 2):
Answer: 3 (5 x - 2) (y - 3)