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Papessa [141]
3 years ago
7

Which system of equations is consistent and dependent?

Mathematics
1 answer:
Bad White [126]3 years ago
5 0

Answer: The answer is the third option

Step-by-step explanation:

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3 years ago
1. A boat is 18 ft away from a point perpendicular to the shoreline. A person stands at a point down the shoreline so that a 68°
slega [8]

Answer:

19.4 feet

Step-by-step explanation:

When calculating distances using perpendicular angles, we use trig functions such as Sin, Cos, and Tan.

  • Sine is defined in a perpendicular triangle as the ratio of the opposite side to the angle over the hypotenuse.
  • Cosine is defined in a perpendicular triangle as the ratio of the adjacent side to the angle over the hypotenuse.
  • Tangent is defined in a perpendicular triangle as the ratio of the opposite side over the adjacent side.

Because our angle and know side value are across from each other and we need to know the hypotenuse, we chose to use Sine.

We set up the equation sin (68) = \frac{18}{h}.

We isolate h by multiplying h across the equal sign and dividing sin (68) across as well. sin (68) = \frac{18}{h}\\hsin (68) = \frac{18}{h}*h\\hsin (68) = 18\\\frac{hsin (68)}{sin (68)} =\frac{18}{sin (68)} \\

And finally we have h=\frac{18}{sin (68)}. We input to calculator.

h=\frac{18}{0.92718} \\h=19.4 feet

See the attached picture below showing the shore with the boat out at sea and the position of the person.


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3 years ago
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8 0
3 years ago
A store makes a profit of $15 on a wallet, after a mark up of 60%, what is the selling priceof the wallet?
Ivenika [448]

Answer:

Markup: $9 ; Selling Price: $24

Step-by-step explanation:

The store makes a profit of $15, to find the mark up of 60%, multiply 15 x 60%.

15 x 0.6 = 9

Add the markup price to the original price.

9 + 15 = $24

The selling price is $24

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A painter spends 3 hours working on a painting. A sculptor spends 2 2/3 as long working on a sculpture. How long does the sculpt
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He would have worked 8 hours.
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