Answer:
60°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationship between angles and sides in a right triangle. Here, we're given the side Adjacent and the side Opposite the angle of interest. This makes it appropriate to choose the relation ...
Tan = Opposite/Adjacent
For our angle of elevation α, this means ...
tan(α) = 125/72
α = arctan(125/72) = 60.058°
α ≈ 60°
The angle of elevation is about 60°.
The total weight of the Italian sandwich in its simplest fraction is 3/5.
meat : 0.35 in fraction 35/100
veggies : 0.15 in fraction 15/100
sauce : 0.05 in fraction 5/100
bread : 0.05 in fraction 5/100
Total weight = 35/100 + 15/100 + 5/100 + 5/100
= (35 + 15 + 5 + 5) / 100
= 60/100
To simplify the fraction:
60/100 ⇒ 60 ÷ 10 = 6 ; 100 ÷ 10 = 10 ⇒ 6/10
6/10 ⇒ 6 ÷ 2 = 3 ; 10 ÷ 2 = 5 ⇒ 3/5
The slope is 6.cuse the slope also means sometimes 6
Answer:
its 12
Step-by-step explanation:
you find whats closest for example, 10 squared is 100.
100 is close to 144
and 11x11= 121
so you would do 12
12x12 is 144
Recall that the vertex form of a quadratic function (or parabolic function) is equal to

Now, given that we have f(x) = x² + 14x + 40, to express f into its vertex form, we must first fill in the expression to form a perfect square.
One concept that we must remember when completing the square is that
(a + b)² = a² + 2ab + b²
So, to complete the square for (x² + 14x + ____), we have 2ab = 14 where a = 1. Thus, b = 14/2 = 7. Hence, the last term of the perfect square must equal to 7² = 49.
So, going back to the function, we have




Thus, we have derived the vertex form of the function.
Answer: f(x) = (x + 7)² - 9