The area of the minor sector DFE is gotten as; D: 66.1 square cm
<h3>How to find area of sector?</h3>
Formula for area of sector is;
A = (θ/360) * πr²
We are given;
minor angle; θ = 100°
radius; r = 8.7 cm
Thus;
A = (100/360) * π(8.7²)
A = 66.1 square cm
Read more about Area of Sector at; brainly.com/question/22972014
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Answer:
1. 20% - add 2 lbs of water to get 2.5 lbs of syrup
2. 25% - add 1.5 lbs of water to get 2 lbs of syrup
3. 1.5% - add 32.833 lbs of water to get 33.333 lbs of syrup
Step-by-step explanation:
Ella has 0.5 lbs of sugar. Let x lbs be the amount of water Ella should add to get the syrup.
1. 20% syrup:
0.5 lbs - 20%
x+0.5 lbs - 100%
Write a proportion:
![\dfrac{0.5}{x+0.5}=\dfrac{20}{100}\\ \\0.5\cdot 100=(x+0.5)\cdot 20\\ \\50=20x+10\\ \\20x=50-10\\ \\20x=40\\ \\x=2\ lbs](https://tex.z-dn.net/?f=%5Cdfrac%7B0.5%7D%7Bx%2B0.5%7D%3D%5Cdfrac%7B20%7D%7B100%7D%5C%5C%20%5C%5C0.5%5Ccdot%20100%3D%28x%2B0.5%29%5Ccdot%2020%5C%5C%20%5C%5C50%3D20x%2B10%5C%5C%20%5C%5C20x%3D50-10%5C%5C%20%5C%5C20x%3D40%5C%5C%20%5C%5Cx%3D2%5C%20lbs)
To get 20% syrup Ella should add 2 lbs of water. The total weight of strup is 2.5 lbs.
2. 25% syrup:
0.5 lbs - 25%
x+0.5 lbs - 100%
Write a proportion:
![\dfrac{0.5}{x+0.5}=\dfrac{25}{100}\\ \\0.5\cdot 100=(x+0.5)\cdot 25\\ \\50=25x+12.5\\ \\25x=50-12.5\\ \\25x=37.5\\ \\x=1.5\ lbs](https://tex.z-dn.net/?f=%5Cdfrac%7B0.5%7D%7Bx%2B0.5%7D%3D%5Cdfrac%7B25%7D%7B100%7D%5C%5C%20%5C%5C0.5%5Ccdot%20100%3D%28x%2B0.5%29%5Ccdot%2025%5C%5C%20%5C%5C50%3D25x%2B12.5%5C%5C%20%5C%5C25x%3D50-12.5%5C%5C%20%5C%5C25x%3D37.5%5C%5C%20%5C%5Cx%3D1.5%5C%20lbs)
To get 25% syrup Ella should add 1.5 lbs of water. The total weight of strup is 2 lbs.
3. 1.5% syrup:
0.5 lbs - 1.5%
x+0.5 lbs - 100%
Write a proportion:
![\dfrac{0.5}{x+0.5}=\dfrac{1.5}{100}\\ \\0.5\cdot 100=(x+0.5)\cdot 1.5\\ \\50=1.5x+0.75\\ \\1.5x=50-0.75\\ \\1.5x=49.25\\ \\x=\dfrac{49.25}{1.5}\approx 32.833\ lbs](https://tex.z-dn.net/?f=%5Cdfrac%7B0.5%7D%7Bx%2B0.5%7D%3D%5Cdfrac%7B1.5%7D%7B100%7D%5C%5C%20%5C%5C0.5%5Ccdot%20100%3D%28x%2B0.5%29%5Ccdot%201.5%5C%5C%20%5C%5C50%3D1.5x%2B0.75%5C%5C%20%5C%5C1.5x%3D50-0.75%5C%5C%20%5C%5C1.5x%3D49.25%5C%5C%20%5C%5Cx%3D%5Cdfrac%7B49.25%7D%7B1.5%7D%5Capprox%2032.833%5C%20lbs)
To get 1.5% syrup Ella should add 32.833 lbs of water. The total weight of strup is 33.333 lbs.
The innerquartile would be 8 because the iqr would be to put all numbers least to greatest and subtract the least which is 0 and 8 which is the greatest. your answer wold be 8
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