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aleksandrvk [35]
3 years ago
5

A shirt þriginally cost $42.39, but it is on sale for $38.15. What is the percentage decrease of the price of the shirt? If nece

ssary,
round to the nearest percent.

Mathematics
1 answer:
Verizon [17]3 years ago
6 0

Answer:

C. 10%

Step-by-step explanation:

Given:

Original price of shirt = $42.39

Current sales price of shirt = $38.15

Required:

% decrease in the price of shirt

SOLUTION:

Percentage decrease in price of shirt = change in price over original price, multiplied by 100%

Change in price = original price - current price = $42.39 - $38.15 = $4.24

% decrease = \frac{4.24}{42.39}*100

= \frac{4.24*100}{42.39}

= \frac{424}{42.39}

% decrease = 10.00

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Multiples of 3 are always multiples of 6.
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Chris has $120 to spend at the bookstore. Chris buys a hardcover book for $36, as well as some gift cards for his family and fri
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120-36=84

84/15=5 with $9 left

120=36-15x

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Tariq designed the pool shown . The owner of the pool has one square to use . Find the area of the space that needs to be covere
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Analyze the diagram below and complete the instructions that follow.
lora16 [44]

Answer:

\displaystyle y=2\sqrt{6}

\displaystyle x=2\sqrt{2}

Step-by-step explanation:

<u>Trigonometric Ratios </u>

The ratios of the sides of a right triangle are called trigonometric ratios.

The longest side of the right triangle is called the hypotenuse and the other two sides are the legs.

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

The image provided shows a right triangle whose hypotenuse is given. We are required to find the value of both legs.

Let's pick the angle of 30°. Its adjacent side is y. We can use the cosine ration, which is defined as follows:

\displaystyle \cos 30^\circ=\frac{\text{adjacent leg}}{\text{hypotenuse}}

\displaystyle \cos 30^\circ=\frac{y}{4\sqrt{2}}

Solving for y:

y=4\sqrt{2}\cos 30^\circ

Since:

\cos 30^\circ=\frac{\sqrt{3}}{2}

\displaystyle y=4\sqrt{2}\frac{\sqrt{3}}{2}

Simplifying:

\displaystyle y=2\sqrt{6}

Now we use the sine ratio:

\displaystyle \sin 30^\circ=\frac{\text{opposite leg}}{\text{hypotenuse}}

\displaystyle \sin 30^\circ=\frac{x}{4\sqrt{2}}

Solving for x:

x=4\sqrt{2}\sin 30^\circ

Since:

\sin 30^\circ=\frac{1}{2}:

\displaystyle x=4\sqrt{2}\frac{1}{2}

Simplifying:

\displaystyle x=2\sqrt{2}

The choices are not clear, but it seems like the correct answer is C.

\boxed{\displaystyle y=2\sqrt{6}}

\boxed{\displaystyle x=2\sqrt{2}}

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