Answer:
x + y ≥ 240
5x + 8y ≤ 1200
Step-by-step explanation:
Assume;
Number of chicken meals = x
Number of Beef meals = y
Total budget = $1200
Find:
Inequality
Computation:
Number of chicken meals + Number of Beef meals ≥ Total students
x + y ≥ 240
Total cost = (Number of chicken meals)(Cost of chicken meal) + (Number of Beef meals)(Cost of beaf meal)
5x + 8y ≤ 1200
Answer:
B
Step-by-step explanation:
You are given the inequality
Add 15 to both sides:
Now divide both sides by 8:
You should choose option B, because this number line shows all values of x which are greater than 11.
Answer:
Step-by-step explanation:
We are given that,
The acute angle of the right angled triangle is 65°.
Length of the side opposite to the acute angle = f
Length of the side adjacent to the acute angle = d
Length of the hypotenuse = e
Using 'Pythagoras Theorem', which states that 'the sum of square of length of the sides of a right triangle is equal to the square of the length of the hypotenuse'.
i.e.
i.e.
i.e.
As, the length of the hypotenuse cannot be negative.
So, the expression showing the value of e is .
Answer:
You had it correctly chosen, (9, infinity)
Step-by-step explanation:
Good job =)
Answer:
Sine θ = 5/13
Step-by-step explanation:
From the question given above, the following data were obtained:
Cos θ = 12/13
Sine θ =?
Next, we shall determine the opposite. This can be obtained as follow:
Cos θ = Adjacent /Hypothenus
Cos θ = 12/13
Adjacent = 12
Hypothenus = 13
Opposite =?
Hypothenus² = Opposite² + Adjacent²
13² = Opposite² + 12²
169 = Opposite² + 144
Collect like terms
169 – 144 = Opposite²
25 = Opposite²
Take the square root of both side
Opposite = √25
Opposite = 5
Finally, we shall determine the Sine θ. This can be obtained as follow:
Opposite = 5
Hypothenus = 13
Sine θ =.?
Sine θ = Opposite / Hypothenus
Sine θ = 5/13