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charle [14.2K]
3 years ago
9

tony had 13 bills in his wallet. they were all fives or tens. the total amount of money in his wallet was $90. How many five dol

lar bills did he have in his wallet?
Mathematics
1 answer:
yanalaym [24]3 years ago
6 0
//I'll let x = $5, y = $10
x + y = 13
5x + 10y = 90

So, y = 13 - x
5x + 10(13 - x) = 90
5x + 130 - 10x = 90
-5x = -40
x = 8

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From the side of a hill wai-kin looks up at the top of a nearby vertical cliff at an angle of elevation of 36 degrees and looks
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Answer:

881.5 meters.

Step-by-step explanation:

The horizontal plane at the level of wai-kin's eyes divide the height of the cliff into two parts. Let the upper part be represented by x and the lower part be represented by y.

The height of the cliff = x + y

Applying the appropriate trigonometry functions.

To determine the value of x;

Tan θ = \frac{opposite}{adjacent}

Tan 36^{o} = \frac{x}{490}

⇒ x = 490 x Tan 36^{o}

      = 490 x 0.7265

     = 355.985

x = 356 meters

To determine the value of y;

Tan θ = \frac{opposite}{adjacent}

Tan 47^{o} = \frac{y}{490}

⇒ y = 490 x Tan 47^{o}

      = 490 x 1.0724

      = 525.476

y = 525.5 meters

Therefore,

The height of the cliff = x + y

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The height of the cliff is 881.5 meters.

3 0
3 years ago
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