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wariber [46]
3 years ago
7

In a baseball league consisting of 12 teams, each team plays each of the other teams twice. How many games will be played? There

will be games played. Enter your answer in the answer box and then click Check Answer Clear All All parts showing bmt12 0102.ppt bmt12 data-8 30 201.. xlsx data-8 30 201....xlsx Macbook
Mathematics
1 answer:
saul85 [17]3 years ago
4 0

Answer:

132 games played.

Step-by-step explanation:

Let x be the

We have been given that in a baseball league consisting of 12 teams, each team plays each of the other teams twice.

Since there are 12 teams, so each team will play with (12-1) teams except itself.

The total number of games played would be 12 times (12-1):

\text{The total number of games played}=12(12-1)

\text{The total number of games played}=12(11)

\text{The total number of games played}=132

Therefore, there will be 132 games played.

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Answer:

115.48m^{2}

Step-by-step explanation:

This shape can be split into two distinct shapes

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Circle:

Putting both halves of the semi circle together will give you a full circle. The diameter of the circle is given (7m).

The area of a circle is A = π r^{2}

The radius, r, is half of the diameter, so 7 / 2 = 3.5m

A = π r^{2}

A = π * 3.5^{2}

A = 38.38m^{2}

Rectangle:

The area of a rectangle is A = h b

The height, h, is known at 7m

The base, b, can be found by removing the length from the dot to the end of the semi circles. This length is the radius of the semi circles, 3.5m

Removing the radius from the total length given

18 - 3.5 - 3.5 = 11m

The base is 11m

A = h b

A = 7 * 11 = 77m^{2}

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Total Area = 38.38 + 77 = 115.48m^{2}

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Lapatulllka [165]

Answer:

The measure of angle B is 41.5°

The length of side a is 30.6 feet ⇒ to the nearest tenth

The length of side b is 32.9 feet ⇒ to the nearest tenth

Step-by-step explanation:

  • <em>The sum of the measures of the interior angles in a triangle is 180°</em>

In the given Δ ABC

∵ m∠A = 38.1°

∵ m∠C = 100.4°

→ By using the fact above

∵ m∠A + m∠B + m∠C = 180°

∴ 38.1 + m∠B + 100.4 = 180

→ Add the like terms in the left side

∴ 138.5 + m∠B = 180

→ Subtract 138.5 from both sides

∴ m∠B = 41.5°

∴ The measure of angle B is 41.5°

∵ a is the opposite side of ∠A

∵ b is the opposite side of ∠B

∵ c is the opposite side of ∠C

→ By using the sine rule

∴ \frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}

∵ c = 48.4 ft, m∠A = 38.1°, m∠B = 41.5°, and m∠C = 100.4

→ Substitute them in the sine rule above

∴ \frac{a}{sin38.1} = \frac{b}{sin41.5} = \frac{48.4}{sin100.4}

→ By using cross multiplication between the 1st and the 3rd fractions

∴ a × sin 100.4 = 48.8 × sin 38.1

→ Divide both sides by sin 100.4

∴ a = 30.61429861

∴ The length of side a is 30.6 feet ⇒ to the nearest tenth

→ By using cross multiplication between the 2nd and the 3rd fractions

∴ b × sin 100.4 = 48.8 × sin 41.5

→ Divide both sides by sin 100.4

∴ b = 32.87596206

∴ The length of side b is 32.9 feet ⇒ to the nearest tenth

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3 years ago
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