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weqwewe [10]
3 years ago
6

Milan bought 3 CDs that were each the same price. Including sales tax, he paid a total of $44.40. Each CD had a tax of $1.30. Wh

at was the price of each CD before tax?
Mathematics
1 answer:
insens350 [35]3 years ago
7 0

Answer:

$13.5

Step-by-step explanation:

Given data

We are given that the tax per CD is  $1.30

Hence for the 3 CDs the total tax = 3*1.3= $3.9

Also, the cost of the three CDs before tax = 44.4-3.9

=$40.5

Hence the cost of each CD before tax is

=40.5/3

=$13.5

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A ball is tossed between three friends. The first toss is 8.6 feet, the second is 5.8 feet, and the third toss is 7.5 feet, whic
Rainbow [258]

angles formed by these tosses are  79.45, 59.02 and 41.53 degrees to the nearest hundredth.

<u>Step-by-step explanation:</u>

Here , We have a triangle with sides of length 8.6 feet, 5.8 feet and 7.5 feet.

The Law of Cosines (also called the Cosine Rule) says:

c^2 = a^2 + b^2 - 2ab (cosx)

Using the Cosine Rule to find the measure of the angle opposite the side of length 8.6 feet:

⇒ c^2 = a^2 + b^2 - 2ab (cosx)

⇒ c^2 -a^2 - b^2 = -2ab (cosx)

⇒ (cosx) =\frac{ c^2 -a^2 - b^2}{ -2ab}

⇒ (cosx) =\frac{(8.6^2 - 5.8^2 - 7.5^2)}{ ( -2(5.8)7.5)}

⇒ (cosx) =0.18310

⇒ cos^{-1}(cosx) = cos^{-1}(0.18310)

⇒ x = 79.45

The Law of Sines (or Sine Rule) is very useful for solving triangles:

\frac{a}{sin A} = \frac{ b}{sin B} =  \frac{c}{sin C}

We can now find another angle using the sine rule:

⇒\frac{ 8.6 }{ sin 79.45} = \frac{7.5}{ sin Y}

⇒sin Y = \frac{(7.5 (sin 79.45))}{  8.6}

⇒Y = 59.02 degrees

So, the third angle =180 - 79.45 - 59.02 = 41.53 degrees.

Therefore, angles formed by these tosses are  79.45, 59.02 and 41.53 degrees to the nearest hundredth.

4 0
3 years ago
PLS HELP!!
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Its the third pair of inequalities

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3 years ago
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A

Working:
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What is the value of Tangent (t/2) if Cosine (t) = 4/5 and t is in quadrant IV?
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Answer:

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Step-by-step explanation:

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3 years ago
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Answer:

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