Answer:
Step-by-step explanation:
Given data:
Circumference of the base of the cone = 24in.
Recall that circumference (in this case) is the distance round the base of the cone and from here the diameter D=12in. Radius = 6in
Surface area l = pie x radius ( slant height + radius)
= 3.142 x 6 (20 + 6)
= 3.142 x 6 (26)
= 3.142 x 156
= 490.152in^2
Answer:
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Answer:
Let x be the total number of cupcakes.
Chocolate chips =
![\frac{2}{3} x](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7D%20x)
Strawberry =
![\frac{1}{4} \times \frac{1}{3} \\ = \frac{1}{12} x](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B4%7D%20%20%5Ctimes%20%20%5Cfrac%7B1%7D%7B3%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B1%7D%7B12%7D%20x)
Vanilla =
![x - \frac{2}{3} x - \frac{1}{12}x \\ = \frac{1}{3} x - \frac{1}{12} x \\ = \frac{1}{4} x](https://tex.z-dn.net/?f=x%20-%20%20%5Cfrac%7B2%7D%7B3%7D%20x%20-%20%20%5Cfrac%7B1%7D%7B12%7Dx%20%5C%5C%20%20%3D%20%20%5Cfrac%7B1%7D%7B3%7D%20x%20-%20%20%5Cfrac%7B1%7D%7B12%7D%20x%20%5C%5C%20%20%20%3D%20%20%5Cfrac%7B1%7D%7B4%7D%20x)
given
![\frac{1}{4} x = 90](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B4%7D%20x%20%3D%2090)
![x = 90 \div \frac{1}{4} \\ = 90 \times 4 \\ = 360](https://tex.z-dn.net/?f=x%20%3D%2090%20%5Cdiv%20%20%5Cfrac%7B1%7D%7B4%7D%20%20%5C%5C%20%20%3D%2090%20%5Ctimes%204%20%5C%5C%20%20%3D%20360)
a)Number of Chocolate chip Cupcakes =
![\frac{2}{3} \times 360 \\ = 240](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7D%20%20%5Ctimes%20360%20%5C%5C%20%20%3D%20240)
b)Number of Strawberry cupcakes =
![\frac{1}{12} \times 360 \\ = 30](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B12%7D%20%20%5Ctimes%20360%20%5C%5C%20%20%3D%2030)
To do that you should put it in slope intercept form and then graph, you should already know how to do this.