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Rufina [12.5K]
3 years ago
10

Find the value of x please

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
8 0

Answer:

x = 170/34 = 5

Step-by-step explanation:

The sum of angle 1 and angle 2 is 180 degrees. They form a straight line.

So, just add the two equations together, set them equal to 180 and solve for x.

12x+19 + 22x - 9 = 180

34x + 10 = 180

34x = 180 - 10 = 170

x = 170/34 = 10/2 = 5

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Job a, $15/hour, job b, $12/hour, how many hours at each job to earn $360
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Job A, will take 24 hours and Job B, will take 30 hours

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The senior class want to play a practical joke on the principal, who was a former college basketball star. They want to fill his
steposvetlana [31]

The number of basketball that will fill up the entire office is <u>approximately 16,615.</u>

<em><u>Recall:</u></em>

Volume of a spherical shape = \frac{4}{3} \pi r^3

Volume of a rectangular prism = l \times w \times h

<em><u>Given:</u></em>

Diameter of basketball = 9.5 in.

Radius of the ball = 1/2 of 9.5 = 4.75 in.

Radius of the ball in ft = 0.4 ft (12 inches = 1 ft)

Dimension of the office (rectangular prism) = 20 ft by 18 ft by 12 ft

  • First, find the volume of the basketball:

Volume of ball = \frac{4}{3} \pi r^3 = \frac{4}{3} \times \pi \times 4.75^3\\

Volume of basketball = 448.92 $ in^3

  • Convert to ft^3

1728 $ in.^3 = 1 $ ft^3

<em>Therefore,</em>

  • Volume of basketball = \frac{448.92}{1728} = 0.26 $ ft^3

  • Find the volume of the office (rectangular prism):

Volume of the office = 20 \times 18 \times 12 = 4,320 $ ft^3

  • Number of basket ball that will fill the office = Volume of office / volume of basketball

  • <em>Thus:</em>

Number of basket ball that will fill the office = \frac{4,320}{0.26} = 16,615

Therefore, it will take approximately <u>16,615 balls</u><u> to fill up the entire office</u>.

Learn more here:

brainly.com/question/16098833

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The answer is [3]. :))
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