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3 years ago

Help with special right triangle please

Mathematics

1 answer:

Ahat [919]3 years ago

7 0

Answer:

Step-by-step explanation:

Looking at the right angle triangle that contains x and y, we would apply trigonometric ratio to determine x an y. Taking 60 degrees as the reference angle,

Hypotenuse = y

Adjacent side = x

Opposite side = 36

Therefore,

Sin # = opposite side / hypotenuse

Sin 60 = 36/y

y = 36/Sin60 = 36/0.8660 = 41.57

Cos # = adjacent side/hypotenuse

Cos 60 = x/41.57

x = 41.57Cos 60 = 41.57 × 0.5 = 20.785

Sin45 = z/36

z = 36Sin45 = 36 × 0.7071 = 25.4556

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A store owner bought a painting for $120. She is selling it for $190. What is the percent markup on the painting

stiks02 [169]

Answer:

The markup percent on the painting is 58.3%

Step-by-step explanation:

Here, The Cost price of the painting = $120

The selling price of the painting = $190

Hence, the total profit on the painting = Cost Price - Selling price

or Profit = $190 - $120 = $70

Now, Markup % = (Gross Profit / cost) x 100

⇒Markup % = $\frac{70}{120} \times 100 = 58.3$

Hence, the markup percent on the painting is 58.3%

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2 years ago

A traffic helicopter descends 153 meters to be 445 meters above the ground, as illustrated in the

sertanlavr [38]

Answer:

598 meters

Step-by-step explanation:

In the problem, the word 'decend' means to decrease in elevation.

Our equation:

$? - 153 = 445$

Add 153 to both sides of the equation:

$?= 598$

598 meters represents the original height of the helicopter.

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1 year ago

Which expression is equivalent to 3a2 + 6a + 5a2?

Vaselesa [24]

$\begin{gathered} 3a^2+6a+5a^2 \\ \text{collect like terms} \\ 3a^2+5a^2+6a \\ 8a^2+6a \end{gathered}$

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1 year ago

3x = 8 3x + y = 15 ???

fiasKO [112]

3x=8

Solve for x by dividing by 3 on both sides

x=8/3

Now plug 8/3 in for x in second equation

3(8/3)+y=15

This gives you

8+y=15

Subtract by 8 on both sides to find y

y=8

Now write it in ordered pair form (x,y)

So your answer is (8/3,8)

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2 years ago

A shopkeepers bought 500 glass tumblers at rs 40 each . 20 glass tumblers were broken and he sold the rest at rs 45 each. Find h

Alona [7]

500 at 40 each = £20000

To make a profit he needs to make more than £20000

20 broke so he sold 500-20 = 480 at 45 each.

480 x 45 = 21600

Profit = 21600 -20000 = 1600

His profit was £1,600

4 0

2 years ago