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KATRIN_1 [288]
2 years ago
13

Using Colored Counters, where yellow counters are positive and red counters are negative, model 5 (use 7 chips)

Mathematics
1 answer:
vova2212 [387]2 years ago
8 0

Answer:

Step-by-step explanation:

??

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C. 100 watts/meter^2

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What is the sum of the geometric series i =i
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Answer: is B


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alex wong basketball after making a half court shot. the display box for his new basketball is in the shape of a cube. alex meas
suter [353]

408.454 cubic inches of air is surrounding the ball in the box

Step-by-step explanation:

When a sphere is inscribed in a cube and touching all of its faces, then

  • The diameter of the sphere = the side of the cube
  • The empty volume of the cube is the difference between the volume of the cube and the volume of the sphere

∵ The basketball is shaped a sphere

∵ The box is shaped a cube

∵ The ball touching every wall of the box

∴ The diameter of the ball = the side of the box

∵ The length of one side of the cube = 9.5 inches

∴ The diameter of the ball = 9.5 inches

∵ The diameter of the ball = 2 r, where r is the radius of the ball

∴ 9.5 = 2 r

- Divide both sides by 2

∴ r = 4.75 inches

∵ The volume of the air that surrounded the ball in the box =

   volume of the box - volume of the ball

∵ Volume box (cube) = s³

∵ s = 9.5 inches

∴ Volume of the box = (9.5)³

∴ Volume of the box = 857.375 inches³

∵ Volume the ball (sphere) =  \frac{4}{3} π r³

∵ r = 4.75

∴ Volume the ball = \frac{4}{3} (π)(4.75)³

∴ Volume the ball = 448.921 inches³

Substitute the values of the volumes of the box and the ball in the rule above

∴ The volume of the air = 857.375 - 448.921

∴ The volume of the air = 408.454 inches³

408.454 cubic inches of air is surrounding the ball in the box

Learn more:

You can learn more about volume of solids in brainly.com/question/12497249

#LearnwithBrainly

6 0
3 years ago
22/44 rational or irrational?
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Rational. 22/44 can be simplefied to 1/2 and 1/2 is rational.
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Express 900 as a product of its prime factors im index form ​
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Step-by-step explanation: Divide by successive primes:

900 / 2 = 450

450 / 2 = 225

225 / 3 = 75

75 / 3 = 25

25 / 5 = 5

5 / 5 = 1

Write down the prime factors:

2 × 2 × 3 × 3 × 5 × 5

Write them in index form:

2² × 3² × 5²

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2 years ago
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