Answer: 56
Step-by-step explanation:
Given : Number of red marbles = 5
Number of green marbles = 3
Number of yellow marbles = 3
Number of orange marbles = 3
Number of red and green marbles = 5+3=8
Now the possible number of sets (combinations) of five marbles are there in which all of them red or green will be :-
Hence, the number of sets of five marbles in which all of them red or green=56
<span>We should find out the equation that represents the number of drinks Fiona can serve. We know X as the number of glasses of iced tea and Y as the number of glasses of lemonade.
Fiona can serve both of them. She has 44 cups.
</span><span>The equation is:
X+Y=44
the constraint is: X and Y must be positive numbers.
</span>
The length of the diagonal of the canvas is approximately 27 degrees.
The height of the rectangular canvas must reach 18 inches. It must form a 48 degrees angle with the diagonal at the top of the canvas.
<h3>Length of the diagonal Canvas</h3>
Therefore, the length of the diagonal can be found as follows:
Using trigonometric ratio,
- cos ∅ = adjacent / hypotenuse
where
∅ = 48°
adjacent side = Height of the rectangle = 18 inches
hypotenuse = Length of the diagonal
Therefore,
cos 48° = 18 / h
cross multiply
h = 18 / cos 48°
h = 18 / 0.66913060635
h = 26.9005778976
length of the diagonal ≈ 27 inches
learn more on rectangle here: brainly.com/question/26099609?referrer=searchResults
Answer:
Step-by-step explanation:
The domain of a function is all of the values that 
can be under that specific function. In this case, we're asking what values of allow 
to exist.
In order for square roots to exist, the quantity under the square root must be greater than or equal to 
, because you can't take the square root of a negative number. Therefore, we can write the following inequality to solve for :
Solving this inequality, we get:
(Subtract 
from both sides of the inequality to isolate )
(Multiply both sides of the inequality by 
to get rid of 's coefficient)
Hope this helps!
