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Kipish [7]
3 years ago
13

Find the range of possible values for y.

Mathematics
1 answer:
nikdorinn [45]3 years ago
5 0
I hope your not that lost now.

Finding the range of a function y=f(x) is the same as finding all values that y could be. To do this, we can think of it this way: The range of f(x) is all the y-values where there is a number x with y=f(x).
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In ΔXYZ, y = 75 cm, z = 83 cm and ∠X=157°. Find the length of x, to the nearest centimeter.
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Answer:

The length of x is 155 cm to the nearest centimeter

Step-by-step explanation:

To solve a triangle we use the sine rule or cosine rule

In the triangle XYZ

∵ y is opposite to ∠Y

∵ x is opposite to ∠X

∵ z is opposite to ∠Z

∵ y = 75 cm and z = 83 cm

∵ m∠X = 157°

→ We have 2 sides and the included angle, then use the cosine rule

∴ x² = y² + z² - 2yz cos X

→ Substitute the given values in the rule

∵ x² = (75)² + (83)² - 2(75)(83) cos(157°)

∴ x² = 23974.28543

→ Take a √  for both sides

∴ x = 154.8363182

→ Round it to the nearest cm (nearest whole number)

∴ x = 155 cm

∴ The length of x is 155 cm to the nearest centimeter

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3 years ago
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Answer:

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Step-by-step explanation:

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So there are 16 servings in a 5 quart pitcher.

Hope this helps ;)

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