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Sergeeva-Olga [200]
2 years ago
12

What is the length of AC? What is the measure of angle A? What is the measure of angle B?

Mathematics
1 answer:
kipiarov [429]2 years ago
6 0

Answer/Step-by-step explanation:

✔️Find AC using Pythagorean Theorem:

AC² = 25.2² - 11.3²

AC² = 507.35

AC = √507.35

AC = 22.5 (nearest tenth)

✔️Find m<A using trigonometric ratio:

Reference angle = A

Opp = 11.3

Hyp = 25.2

Sin(A) = opp/hyp

Sin(A) = 11.3/25.2

A = sin^{-1}(11.3/25.2)

A = 26.6° (nearest tenth)

✔️Find m<B using trigonometric ratio:

Reference angle = B

Adj = 11.3

Hyp = 25.2

Cos(A) = adj/hyp

Cos(A) = 11.3/25.2

A = cos^{-1}(11.3/25.2)

A = 63.4° (nearest tenth)

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Answer:

3x+4y=-24

Therefore, option C is correct.

Step-by-step explanation:

We have been given the equation:

y=\frac{-3x}{4}-6[/

We will take LCM 4 on right hand side of the above equation:

y=\frac{-3x-24}{4}

Now, we will multiply the 4 in denominator on right hand side to the y in left hand side pof the equation we get:

4y=-3x-24

After rearranging the terms we get:

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DiKsa [7]

Answer:

x = 1178 games

Step-by-step explanation:

Let the number of games = x

Let the total cost = Tc

Let the total revenue = Tr

Given the following data;

Investment = $10,000

Cost of each game = $1.50

Selling cost = $9.99

Total cost, Tc = (Cost of each game * Number of games) + Investment

Tc = 1.50x + 10000

Total revenue, Tr = Selling cost * Number of games

Tr = 9.99x

Breakeven point is when total cost is equal to total revenue;

Tc = Tr

1.50x + 10000 = 9.99x

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