Answer:
283
Step-by-step explanation:
Answer:
![\frac{3}{4} = \frac{9}{12}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B4%7D%20%3D%20%5Cfrac%7B9%7D%7B12%7D%20)
![\frac{1}{3} = \frac{2}{6}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B3%7D%20%3D%20%5Cfrac%7B2%7D%7B6%7D%20)
![\frac{2}{4} = \frac{4}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B4%7D%20%3D%20%5Cfrac%7B4%7D%7B8%7D%20)
Step-by-step explanation:
To generate equivalent fractions, you can either multiply the numerator and denominator by the same number or divide the numerator and denominator by a number provided the numerator and denominator remains whole number.
Let's solve the given problem:
Problem 1:
![\frac{3}{4} = \frac{x}{12}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B4%7D%20%3D%20%5Cfrac%7Bx%7D%7B12%7D%20)
To find the numerator that will make the fractions equivalent, the numerator would be multiplied by the same number that was used to multiply the denominator of the first fraction (4), from which the denominator of the second fraction (12) was gotten.
Here, the denominator of the first fraction, 4, was multiplied by 3 to get the denominator of the second fraction = 12.
Therefore, the numerator of the second fraction would be gotten by multiplying the numerator of the first fraction, 3 by 3 = 9.
Thus:
![\frac{3}{4} = \frac{3*3}{4*3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B4%7D%20%3D%20%5Cfrac%7B3%2A3%7D%7B4%2A3%7D%20)
![\frac{3}{4} = \frac{9}{12}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B4%7D%20%3D%20%5Cfrac%7B9%7D%7B12%7D%20)
Both fractions are now equivalent because they now have the same value. 3÷4 will give you the same value as 9÷12.
Problem 2:
![\frac{1}{3} = \frac{2}{x}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B3%7D%20%3D%20%5Cfrac%7B2%7D%7Bx%7D%20)
The numerator, 1, was multiplied by 2 to get 2.
Therefore:
![\frac{1}{3} = \frac{1*2}{3*2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B3%7D%20%3D%20%5Cfrac%7B1%2A2%7D%7B3%2A2%7D%20)
![\frac{1}{3} = \frac{2}{6}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B3%7D%20%3D%20%5Cfrac%7B2%7D%7B6%7D%20)
Problem 3:
![\frac{2}{4} = \frac{x}{y}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B4%7D%20%3D%20%5Cfrac%7Bx%7D%7By%7D%20)
We can either divide the denominator and numerator by the same number which should remain a whole number, or multiply the denominator and numerator by the same number.
Let's multiply by 2 to get am equivalent fraction.
![\frac{2}{4} = \frac{2*2}{4*2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B4%7D%20%3D%20%5Cfrac%7B2%2A2%7D%7B4%2A2%7D%20)
![\frac{2}{4} = \frac{4}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B4%7D%20%3D%20%5Cfrac%7B4%7D%7B8%7D%20)
159 green
If there are 14 baskets of apples and 36 apples in each basket then there are 504 apples in all (14*36=504)
Then you can take 504-225-120 (the red and the yellow) and whatever is left must be the green. That equals 159.
Hope that helps.
9514 1404 393
Answer:
b. 90 ft
Step-by-step explanation:
The opposite and adjacent sides of the relevant triangle are given.
Tan = Opposite/Adjacent
tan(42°) = h/(100 ft)
h = (100 ft)tan(42°) ≈ 90.04 ft
The statue must be about 90 ft tall.