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Sidana [21]
2 years ago
14

Suppose the radius of a circle is \color{purple}{3}3start color purple, 3, end color purple. what is its circumference?either en

ter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.
Mathematics
2 answers:
Vlada [557]2 years ago
6 0

\text{Consider the circle of radius 3.}\\
\\
\text{we need to find the cirumference of the circle.}\\
\\
\text{we know that the circumference of the circle of radius r is given by}\\
\\
\text{circumference}=2\pi r\\
\\
\text{so using this formula, the circumference of the given circle is}

\text{Circumference}=2\pi r\\
\\
=2\pi \times 3\\
\\
=6\pi
\\
\text{so the circumference of the circle is}=6\pi\\
\\
\text{and in decimals, it gives}=6\times 3.14\\
\\
\Rightarrow \text{circumference}=18.84

Hence the circumference of the circle is: 6π  or  18.84 units

Oliga [24]2 years ago
6 0

Answer:

18.84

Step-by-step explanation:

Formula for circumference of a circle: 2πr

The radius given: 3

Steps to find circumference:

  1. 2 × π (3.14) = 6.28
  2. 6.28 × 3 = 18.84

Therefore, the circumference of the circle would be 18.84

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An astronaut on the moon throws a baseball upward. The astronaut is 6 ft, 6 in. tall, and the initial velocity of the ball is 40
satela [25.4K]

Answer:

0.14 s

Step-by-step explanation:

s = -2.7 t² + 40t + 6.5

Let s = 12

12 = -2.7t² + 40t + 6.5     Subtract 12 from each side

-2.7t² + 40t + 6.5 - 12 = 0

      -2.7t² + 40t - 5.5 = 0

Apply the <em>quadratic formula </em>

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}

a = -2.7; b = 40; c = -5.5

x = \frac{-40\pm\sqrt{40^2 - 4\times (-2.7) \times (-5.5)}} {2(-2.7)}

x = \frac{-40\pm\sqrt{1600-59.4}}{-5.4}

x = \frac{-40\pm\sqrt{1540.6}}{-5.4}

x = \frac{-40\pm 39.25}{-5.4}

x = 7.41 ± 7.27

x₁ = 0.14; x₂ = 14.68

The graph below shows the roots at x₁ = 0.134 and x₂ = 14.68.

The Moon’s surface is at -12 ft. The ball will be 12 ft above the Moon’s surface (crossing the x-axis) in 0.14 s.

The second root gives the time the ball will be 12 ft above the Moon’s surface on its way back down.

6 0
2 years ago
The equations below represent the numbers y of tickets sold after x weeks for two different local music festivals
Anton [14]
Assuming you mean y=10x+150 and y=20x+115, you need to use a simultaneous equation, because you have two equations with two unknowns (x and y)

rearrange so
10x-y=-150
20x-y=-115

multiply the top by -1, so that if we add the two lines together, the y will cancel out
-10x+y=150
20x-y=-115

add the two lines together
10x=35
x=3.5

so the time is 3 and a half weeks

then we can sub in x to find y
20x-y=-115
20(3.5)-y=-115
70-y=-115
-y=-185
y=185

so 185 tickets were sold !
you can sub these values into your original equations to check your answer :)
5 0
2 years ago
Read 2 more answers
Explain two different squares that can be made using the number 9
DedPeter [7]
One square can be a 3 by 3 square, meaning each side is 3 units.The area for this would be 9.

Another one is the square can be a 9 by 9 square, meaning each side is 9 units. The area for this would be 81.

3 0
2 years ago
There are 10 pots exposed in the shop, 2 of which have hidden defects. the customer buys two pieces. what is the probability tha
Tpy6a [65]
Check the tree diagram, of all the possible scenarios and the probabilities.

All the possible scenarios are: 

1st.non defective,  2nd.non defective
1st.non defective,  2nd. defective
1st. defective,  2nd. non defective
1st. defective,  2nd. defective

consider the case 1st.non defective,  2nd.non defective

the probability that the first one is non defective is 8/10, since 8 out of 10 are non defective.

In this scenario, the second one is non defective as well. The probability for this to happen is 7/9, since now we have 7 non defective pots, and 9 in total.

This means that the probability of the first to be non defective, and the second non-defective is (8/10) * (7/9)=0.622

similarly we calculate the other cases, as shown in the picture.

P(at least one is defective)=
P(1st.non defective,  2nd. defective)+P(1st. defective,  2nd. non defective)+P(1st. defective,  2nd. defective)=
0.178+0.178+0.022=0.378


Answer: 0.378

8 0
2 years ago
Simplify this expression 5xy-x^2t+2xy+3x^2t​
Dmitry_Shevchenko [17]

Answer:

\large\boxed{5xy-x^2t+2xy+3x^2t=7xy+2x^2t}

Step-by-step explanation:

5xy-x^2t+2xy+3x^2t\\\\combine\ like\ terms\\\\(5xy+2xy)+(-x^2t+3x^2t)\\\\7xy+2x^2t

6 0
2 years ago
Read 2 more answers
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