If a triangle with the angles of 72 degrees, 62 degrees, and 46 degrees and one of the side lengths is 40, what would the length of the other two side be?

Answers

Answer 1

Answer:

The length of the other two sides are: 43.09 and 32.60

Step-by-step explanation:

Let the given side of the triangle be b(= 40), and the angles be;

A = [tex]72^{o}[/tex], B = [tex]62^{o}[/tex]and C = [tex]46^{o}[/tex].

Applying the Sine rule,

[tex]\frac{a}{SinA}[/tex] = [tex]\frac{b}{SinB}[/tex] = [tex]\frac{c}{Sin C}[/tex]

So that,

[tex]\frac{a}{SinA}[/tex] = [tex]\frac{b}{SinB}[/tex]

[tex]\frac{a}{Sin 72}[/tex] = [tex]\frac{40}{Sin62}[/tex]

a = [tex]\frac{0.9511*40}{0.8829}[/tex]

  = 43.0898

a = 43.09

Also,

[tex]\frac{b}{SinB}[/tex] = [tex]\frac{c}{Sin C}[/tex]

[tex]\frac{40}{Sin62}[/tex] = [tex]\frac{c}{Sin46}[/tex]

c = [tex]\frac{0.7193*40}{0.8829}[/tex]

  = 32.5881

c = 32.60

The length of the other two sides are: 43.09 and 32.60


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Jensen has an above ground pool in the shape of a regular octagon. Opposite sides are 25 feet apart and each side is 10.4 feet long. It requires 7.5 gallons to fill one cubic foot. How much water is need to fill the pool with 3 feet of water.
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Answers

Answer:

[tex]11700[/tex]

Step-by-step explanation:

The formula of a octagon is Area of octagon = 8(1/2 × b × h), which is 520ft.

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Answers

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Answers

Answer:

Cash is increased by $ 200 , and Notes Receivable is also increased by $ 375

Revenue Earned is also increased By $ 575.

Step-by-step explanation:

We make a journal entry

Cash      $200 Debit

Notes Receivable   $ 375 Debit

Services Revenue Earned                        $ 575 Credit

In the balance sheet the Cash is increased by $ 200 , and Notes Receivable is also increased by $ 375  on the Assets sides.

On the  Liabilities side in the Owner's Equity section  Revenue Earned is also increased By $ 575.

Increasing both sides ( Assets and Liabilities sections) with equal amounts will  have no effect on the Balance Sheet .

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Answers

Answer:

1.) Hypotenuse.

The hypotenuse is the longer side.

2.)Leg

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1.) Hypotenuse

2.) Leg

Step-by-step explanation:

The legs or bases of a triangle are the sides connected to the right angle.

The hypotenuse is the side across from the right angle and is always the longest side.

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Answers

Answer:

True

Step-by-step explanation:

The perimeter is the combined length of all the side lengths of a figure.

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Answers

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the rectangle below has a perimeter of 120 in right an equation to solve for x and then calculate the length and width of the rectangle.​

Answers

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Answers

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Answers

Answer:

Area of rectangle possible. : 6ft² ; 10 ft², 12 ft²

Step-by-step explanation:

Feets of fencing = 14

Perimeter = 14

Let x = Length y = width

Perimeter = 2(x + y)

For x = 1

2(1 + y) = 14

1 + y = 7

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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