Answer:
=2.83 the second option
Step-by-step explanation:
Using the trigonometric ratios we can find the sides of the triangle with the acute angles.
In the triangle provided we will use COSINE
Cos ∅=adjacent/hypotenuse
Let us substitute with the values in the question into the formula.
Tan 45 =2/x
x=2/Cos 45
=2.83 units
24×1 1/4 is 30
Jake reads 24 per day
24×5=121
168-121=47
Julio reads 30 per day
30×5=150
180-150=30
Jake will have 17 more pages left to read than Julio.
Let the one type of the bread be bread A
The second type of the bread be bread B
Let the flour be 'f' and the butter be 'b'
We need 150f + 50b for bread A and 75f + 75b for bread B
We can compare the amount of flour and bread needed for each bread and write them as ratio
FLOUR
Bread A : Bread B
150 : 75
2 : 1
We have a total of 2250gr of flour, and this amount is to be divided into the ratio of 2 parts : 1 part. There is a total of 3 parts.
2250 ÷ 3 = 750 gr for one part then multiply back into the ratio to get
Bread A : Bread B = (2×750) : (1×750) = 1500 : 750
BUTTER
Bread A : Bread B = 50 : 75 = 2 : 3
The amount of butter available, 1250 gr is to be divided into 2 parts : 3 parts.
There are 5 parts in total
1250 ÷ 5 = 250 gr for one part, then multiply this back into the ratio
Bread A: Bread B = (2×250) : (3×250) = 500 : 750
Hence, for bread A we need 1500 gr of flour and 500 gr of butter, and for bread B, we need 750 gr of flour and 750 gr of butter.
From the statement above, we can say that there is a direct relationship between the number of sheets used to the number of cans that can be made. That is, # of sheets is directly proportional to # of cans. We make an equation as follows:
let y = # of sheets
x = # of cans
y = kx where k is the proportionality constant
Assuming linear relationship of the two, we can use either data point as follows:
y = kx
2 = k(36)
k = 1/18
Therefore, the proportionality constant is 1/18.
