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torisob [31]
4 years ago
14

Rachel bought 3 CDs that were each the same price. Including sales tax, she paid a total of $35.40. Of that total, $2.70 was tax

. What was the price of each CD before tax?
Mathematics
1 answer:
kotegsom [21]4 years ago
5 0

Answer:

Step-by-step explanation:

Total bill - the tax = cost of 3CD's

Our total bill is $35.40, the tax is $2.70, therefore,

35.40 - 2.70 = cost of 3 CD's so

3 CD's = $32.70

Divide that by 3 to get the cost per CD:

32.7 / 3 = $ 10.90 per CD

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I Got 650 miles per hour
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3 years ago
Find the height of the building below by using your knowledge of trigonometry.
Lilit [14]

Answer:

50\sqrt{3}

Step-by-step explanation:

The figure represents a 30-60-90 special triangle

in this special right triangle the measure of sides lengths is represented by

a, a\sqrt{3}, and 2a

The side length that sees angle measure 30 is represented by a and here we see a = 50m

The height of the building, which sees angle measure 60, is equal to

50\sqrt{3}

5 0
3 years ago
Use identities to find the values of the sine and cosine functions for the following angle measure.
puteri [66]

Using the cosine double angle formula,

\cos 2\theta=2\cos^2 \theta-1=\frac{12}{13}\\\\2\cos^{2} \theta=\frac{25}{13}\\\\\cos^{2} \theta=\frac{25}{26}\\\\\boxed{\cos \theta=\frac{5}{\sqrt{26}}}

(Note I took the positive case since \theta terminates in the first quadrant)

Using the Pythagorean identity,

\sin^2 \theta+\cos^2 \theta=1\\\\\sin^2 \theta+\frac{25}{26}=1\\\\sin^2 \theta=\frac{1}{26}\\\\\boxed{\sin \theta=\frac{1}{\sqrt{26}}}

(Note I took the positive case since \theta terminates in the first quadrant)

6 0
1 year ago
5. A farmer puts apples into 36 crates. Each crate has 25 kilograms of apples in it. She sells 486,235 grams of apples. How many
Lynna [10]

There would be 413,765 kilograms after selling 486,235 grams of apples

How many grams make a kilogram?

In each kilograms, there are 1,000 grams, which means we need to first of all convert the total number of apples in kilograms to grams.

Each crate has 25 kilograms of apples in it

1 crate =25 kilograms

36 crates=36*25 kilograms

36 crates=900 kilograms

1 kilogram=1000 grams

900kilograms=1000*900

900 kilograms=900,000 grams

The number of grams left after having sold 486,235 grams of apples, in essence, the quantity of apples left thereafter is 900,000 grams minus the 486,235 grams of apples sold

apples left=900,000-486,235

apples left= 413,765 kilograms

Find out more about conversion of kilograms to grams on:brainly.com/question/9301317

#SPJ4

8 0
2 years ago
-<br> The sum of 2 and x is at least - 19.
In-s [12.5K]

2 + x = -19 <=> x = -19 -2 = -21

4 0
2 years ago
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