Given:
40,000 mg = 10x g
1 gram is equal to 1000 milligram
40,000 mg * 1 gram/1,000 mg = 40,000 g / 1,000 = 40 gram
40 grams = 10x g
40 grams / 10 grams = x
4 = x
The value of x is 4.
40000 mg = 10x g
40000 mg = 10(4) g
40000 mg = 40 g
The volume of the smoothies served is 18.67 liters.
Given:
volume of fruit juice = 35 liters
ratio of fruit juice to smoothies = 4.5 to 2.4
Proportion: a:b = c:d where ad = bc
a = 4.5 ; b = 2.4 ; c = 35 ; d = x
4.5 to 2.4 = 35 to x
4.5x = 35 * 2.4
4.5x = 84
4.5x/4.5 = 84/4.5
x = 18.67 volume of smoothies.
to check:
4.5(18.67) = 35*2.4
84.015 = 84
Answer:
(a) α = 60°, β = 30°
(b) α ≈ 67.4°, β ≈ 22.6°
Step-by-step explanation:
I'll do (a) and (b) as examples. Make sure your calculator is set to degrees, not radians.
(a) For α, we're given the opposite and adjacent sides, so use tangent.
tangent = opposite / adjacent
tan α = √300 / 10
tan α = √3
α = 60°
Since angles of a triangle add up to 180°, we know that β = 30°. But we can use tangent again to prove it:
tan β = 10 / √300
tan β = 1 / √3
tan β = √3 / 3
β = 30°
(b) For α, we're given the adjacent side and the hypotenuse. So use cosine.
cos α = adjacent / hypotenuse
cos α = 15 / 39
cos α = 5 / 13
α ≈ 67.4°
Again, we know that β = 22.6°, but let's show it using trig. We're given the opposite side and hypotenuse, so use sine:
sin β = 15 / 39
sin β = 5 / 13
β ≈ 22.6°
The answer is the slope m=1
