Julian's shadow is 6 feet long. At the same time a 31 foot tall building casts a shadow that is 28 feet long. What proportion could be used to find Julian's height?
h/6 = 31/28
How does this relate to cocoa? Git.
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Julian's shadow is 6 feet long. At the same time a 31 foot tall building casts a shadow that is 28 feet long. What proportion could be used to find Julian's height?
Julian's shadow is 6 feet long. At the same time a 31 foot tall building casts a shadow that is 28 feet long. What proportion could be used to find Julian's height?
You own a beauty salon where you not only cut hair but you also sell hair products. You buy a dozen barrettes for $18.00 and then sell them in your store for $2.00. You want to calculate your mark-up.
To do so, you multiply 2 by 12, subtract 18 and then divide by 12. Is this correct?
A)
Yes.
B)
No; you should divide 18 by 12 and then divide by 2.
C)
No; you should divide 18 by 12, divide by 2 and multiply by 100.
D)
No; you should multiply 2 by 12, subtract 18 and then divide by 18.
The correct answer is x/6 = 31/28
To find Julian's height, we can set up a proportion using the lengths of the shadows. Let's assign variables to the unknown quantities. Let "x" represent Julian's height.
The proportion can be set up by equating the ratios of the corresponding sides of the shadows:
Julian's shadow length / Julian's height = Building's shadow length / Building's height
Now, let's plug in the given values to solve for Julian's height:
6 feet (Julian's shadow length) / x (Julian's height) = 28 feet (Building's shadow length) / 31 feet (Building's height)
To solve this proportion, we can cross-multiply:
6 feet * 31 feet = x * 28 feet
186 feet^2 = 28x
Next, isolate x by dividing both sides of the equation by 28:
186 feet^2 / 28 = x
x ≈ 6.64 feet
Therefore, Julian's height is approximately 6.64 feet.