Write 15 cookies to 40 brownies as a ratio in simplest form.
2 answers:
if we write the ratio 15 cookies to 40 cookies we will get the following ratio
15:40
to write in simplest form we have to find the highest common factor for both 15 and 40
the factors for both 15 and 40 are as follows
15 - 1,3,5,15
40 - 1,2,4,5,8,10,20,40
the highest common factor is 5
so we have to divide both ny 5 to get the simplest form
ratio in the simplest form is 3:8
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Drawing a diagram to represent the information you've given, the only angle we are missing is B. We can find that by subtracting the two we're given from 180:
180 - 90 - 48.8 = 41.2
<em>m</em>∠<em>B</em> = 41.2°.
We can use the angles and the one side we're given to find the remaining sides. Since we do not know the length of the hypotenuse, AB, we cannot use sine or cosine. We must use tangent (the ratio for tangent is opposite/adjacent):
Multiply both sides by 1.6:
This is the length of side AC, which is opposite to angle B.
To find the length of AB we can use the Pythagorean Theorem:
The length of side AC, the hypotenuse, is 4 inches.
180 - 90 - 48.8 = 41.2
<em>m</em>∠<em>B</em> = 41.2°.
We can use the angles and the one side we're given to find the remaining sides. Since we do not know the length of the hypotenuse, AB, we cannot use sine or cosine. We must use tangent (the ratio for tangent is opposite/adjacent):
Multiply both sides by 1.6:
This is the length of side AC, which is opposite to angle B.
To find the length of AB we can use the Pythagorean Theorem:
The length of side AC, the hypotenuse, is 4 inches.
