Can someone help me on this
1 answer:
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Answer:
0.6 cups of sugar and 1.25 cups of chocolate chips
Step-by-step explanation:
We can begin to solve this problem with a simple proportion:
=
=
(x = the new # of sugar y = new # of chocolate chips)
In order to keep everything proportional, we must abide by the scale factor shown with the the flour.
Basically, if we're going to use three times the amount of flour we actually need, then we need to triple all our other ingredients.
We can see that the scale factor is one half, so
x = 1.2 * 0.5
and
y = 2.5 * 0.5
This means that:
x = 0.6
y = 1.25
This means that he has to use 0.6 (or 3/5) cups of sugar and 1.25 (or 9/8) cups of chocolate chips.
Answer:
- x = 1
Step-by-step explanation:
From the given right-angle triangle
The angle = ∠60°
- The adjacent to the angle ∠60° is 1/2.
- The opposite to the angle ∠60° is y.
The hypotenuse = x
<u>Determining the value of x:</u>
Using the trigonometric ratio
cos 60° = adjacent / hypotenuse
substituting adjacent = 1/2 and hypotenuse = x
∵ cos (60°) = 1/2
Dividing both sides by 2
Simplify
Thus, the value of hypotenuse x is:
x = 1
<u>Determining the value of y:</u>
Using the trigonometric ratio
sin 60° = opposite / hypotenuse
As we have already determined the value of hypotenuse x = 1
substituting opposite = y and hypotenuse = 1
sin 60° = y/1
y = 1 × sin 60°
∵
Therefore, the value of y is:
Summary:
- x = 1