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Mama L [17]
3 years ago
10

a recipe for lasagna calls for 3 pounds of tomatoes to serve 5 people. a caterer wants to make enough lasagna to serve 110 peopl

e. how many pounds of tomatoes does he needs
Mathematics
1 answer:
Roman55 [17]3 years ago
5 0
To do this you want to divide 110 by 5 to get 22.  Now you want to multiply 3 by 22. That means the caterer need 66 pounds of tomatoes.
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Using the vector formula u.v = |u||v|cos\theta

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Given |u| = 88, |v| = 99 and u.v = 77, to get \theta we will substitute the given values into the equation above;

77 = 88*99cos\theta\\cos\theta = \frac{77}{88*99} \\cos\theta = \frac{77}{8712} \\cos\theta = 0.008838\\\theta = cos^{-1} 0.008838\\\theta = 89.5^{0}

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