the variable Y is directly proportional to the variable X if Y= 32 when X= 20 what is the value of x when y= 40
2 answers:
Answer:
x = 25
Step-by-step explanation:
A directly proportional relationship satisfies a proportion or two equal ratios. You can create a ratio between x and y coordinates written as y/x.
So when y = 32 and x= 20, the ratio is 32/20. If y = 40, what is x? This is the ratio 40/x. Set them equal in a proportion. Then cross multiply to solve for x.
32(x) = 20(40)
32x = 800
x = 25
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According to the solving 78% of the freshman class are Economics majors.
<h3>What does a percentage mean?</h3>percentage, a relative figure signifying hundredths of any amount. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.
<h3>Why is it called percent?</h3>The word "percent" comes from the Latin adverb per centum, which means "by the hundred." In the sixteenth century, the Latin expression made its way into English. Later, it was shortened to % with a final period.
<h3>According to the given data:</h3>It is given that the total number of students in freshman class = 6200
Total number of students majoring in Economics = 4836
Here, we are asked to find the percentage of the freshman class who are majoring in Economics.
Percent of students majoring Economics = (Number of students majoring/ Economics Total number of students) x 100
= x 100
= 78%
According to the solving 78% of the freshman class are Economics majors.
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Answer:
t = 5
Step-by-step explanation:
Subtract 19 from 39
Divide by 4
Consider the attached figure. If AB has length 1, then BC has length sin(15°) and CD (the altitude of triangle ABC) has length sin(15°)·cos(15°).
By the double angle formula for sin(α), ...
... sin(2α) = 2sin(α)cos(α)
Rearranging, this gives
... sin(α)·cos(α) = sin(2α)/2
We have
... CD = sin(15°)·cos(15°) = sin(2·15°)/2
... CD = sin(30°)/2 = (1/2)/2 = 1/4
That is, the altitude, CD, is 1/4 the hypotenuse, AB, of triangle ABC.
