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balu736 [363]
3 years ago
9

If (-10,8) is a point on the terminal side f a angle 0 in standard position what is the value of tan0?

Mathematics
1 answer:
fiasKO [112]3 years ago
5 0

Answer:

The value of the tangent is -\frac{4}{5}.

Step-by-step explanation:

Let be A(x,y) = (-10, 8) on the terminal side of an angle in standard position and let be O(x,y) the origin of the angle and the origin of the Cartesian plane. By definition of tangent, we make use of the following expression:

\tan \theta = \frac{y_{A}-y_{O}}{x_{A}-x_{O}} (1)

Where:

x_{A}, x_{O} - x-Coordinates of point A and point O.

y_{A}, y_{O} - y-Coordinates of point A and point O.

If we know that x_{A} = -10, x_{O} = 0, y_{A} = 8 and y_{O} = 0, then the value of the tangent is:

\tan \theta = \frac{y_{A}-y_{O}}{x_{A}-x_{O}}

\tan \theta = \frac{8-0}{-10-0}

\tan \theta = -\frac{4}{5}

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Answer:

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Step-by-step explanation:

Paul is making bread using a recipe. The amount of flour he uses is proportional to the number of loaves of bread. He uses 11 1/4 cups of flour to make 5 loaves of bread. If Paul used 18 cups of flour, and then sold the loaves of bread he made at a bake sale for $2.50 each, how much money would Paul make from his bread sales?

Step 1

Find out how many loaves of bread he can produce from 18 cups of flour

11 1/4 cups of flour = 5 loaves of bread

18 cups of flour = x loaves of bread

Cross Multiply

11 1/4 cups × x loaves = 18 cups × 5 loaves

x loaves = 18 cups × 5 loaves/ 11 1/4 cups

x loaves = 90 ÷ 11 1/4

x loaves = 90 ÷ 45/4

x loaves = 90 × 4/45

x loaves = 8 loaves of bread

He can produce 8 loaves of bread from 18 cups of flour.

Step 2

We are told that:

1 loaf of bread costs $2.50

Hence,

1 loaf of bread = $2.50

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$x = 8 loaves of bread × $2.50

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Therefore, Paul made $20 from his bread sales

8 0
3 years ago
The cost of making a shirt is half of what the shirt normally sells for. Today, the shirt is in a 15 percent discount from its n
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Answer:

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Step-by-step explanation:

Let x represent cost to make the shirt.

Today, the shirt is in a 15 percent discount from its normal price.

Discount = 15/100 * x = 0.15x

Current cost = Original cost - discount

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.85 times the cost to make the shirt

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Answer:

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