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3 years ago

If Ben buys 24 items at $3 each, how much change will he receive from a $100 bill?

Mathematics

2 answers:

tensa zangetsu [6.8K]3 years ago

4 0

Ben will receive $28 change from a hundred dollar bill

posledela3 years ago

3 0

Answer:

Step-by-step explanation:

you get 72 from each item because u multiply 24×3 which gets you 72 and you subtract 100 and 72 and you get 28$ as your change

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Value of $\sec \theta = \frac{5}{4}$

Step-by-step explanation:

Given: A vertical line is dropped from the x-axis to the point (12, -9) as shown in the diagram below;

To find the value of $\sec \theta$ .

By definition of secants;

$\sec \theta = \frac{1}{\cos \theta}$

Now, first find the cosine of angle $\theta$

As the point (12 , -9) lies in the IV quadrant , where $\cos \theta > 0$

Consider a right angle triangle;

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Using Pythagoras theorem;

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$Hypotenuse = \sqrt{225} =15 units$

Cosine ratio is defined as in a right angle triangle, the ratio of adjacent side to hypotenuse side.

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then;

$\cos \theta = \frac{12}{15} = \frac{4}{5}$

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$\sec \theta = \frac{1}{\cos \theta}= \frac{1}{\frac{4}{5}} = \frac{5}{4}$

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