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Nadusha1986 [10]
3 years ago
13

Please help me on this problem !

Mathematics
1 answer:
Rashid [163]3 years ago
8 0

Answer:

x = 5 , y = 5\sqrt{3}

Step-by-step explanation:

Using the sine and cosine ratios in the right triangle and exact values.

sin30° = \frac{1}{2} , cos30° = \frac{\sqrt{3} }{2} , then

sin30°= \frac{opposite}{hypotenuse} = \frac{x}{10} = \frac{1}{2} ( cross- multiply )

2x = 10 ( divide both sides by 2 )

x = 5

and

cos30° = \frac{adjacent}{hypotenuse} = \frac{y}{10} = \frac{\sqrt{3} }{2} ( cross- multiply )

2y = 10\sqrt{3} ( divide both sides by 2 )

y = 5\sqrt{3}

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yaroslaw [1]
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Find the measure of \angle RST∠RST. ​ ​ ​The measure of \angle RST∠RST is ^{\circ} ∘ .
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RST =144

Step-by-step explanation:

Given

See attachment

Required

Find RST

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<em>Hence, the measure of RST is 144</em>

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3 years ago
A company has found that the daily demand x for its boxes of chocolates is inversely proportional to the price p. When the price
Amiraneli [1.4K]

Answer:

667 boxes

Step-by-step explanation:

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x=\frac{k}{p}\\\\p=\frac{k}{x}\\\\=\frac{4000}{6}\\\\=666.6667\\\\\approx 667\  boxes

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3 0
3 years ago
You need to buy a 20-foot length of 15-wide carpet that costs $29.50 per square yard. How much will this cost?
Marianna [84]

The cost of the carpet will be $983.33

<h3>Calculating cost</h3>

From the question, we are to calculate how much the carpet will cost

From the given information,

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First, we will covert the dimension to yard

NOTE: 1 foot = 1/3 yards

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20 feet = 20/3 yards

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15 feet = 15/5 yards = 5 yards

Now, we will calculate the area of the carpet

Using the formula,

Area = Length × Width

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Area of the carpet = 33.33 square yard

Now, we have that

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The cost of the carpet = $ 983.33

Hence, the cost of the carpet will be $983.33

Learn more on Calculating cost here: brainly.com/question/24458165

#SPJ1

8 0
2 years ago
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Lady_Fox [76]
Given from the question
first fraction = 5/6
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The red tape is 3/6 yard more than the green tape.
6 0
4 years ago
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