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forsale [732]
3 years ago
5

Find the circumference and area of the circle​

Mathematics
1 answer:
ser-zykov [4K]3 years ago
5 0

Answer: C = 53.3 inches

A = 226.1 inches²

Step-by-step explanation:

The inscribed square has equal sides. To determine the hypotenuse of the square which is also the diameter of the circle, we would apply the Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Hypotenuse² = 12² + 12² = 144 + 144 = 288

Hypotenuse = √288 = 16.97 inches

Radius = diameter/2 = 16.97/2 = 8.485 inches

The formula for determining the circumference of a circle is expressed as

Circumference = 2πr

Circumference = 2 × 3.14 × 8.485 = 53.3 inches

Area = πr²

Area = 3.14 × 8.485² = 226.1 inches²

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There are two spinners containing only white and green slices. Spinner A has 4 white slices and 1 green slice. All the slices ar
MrRa [10]

Answer:

Step-by-step explanation:

Ok, lets list the important things

  • only green and white slices
  • all slices same size
  • spinner A has 4/5 white slices and 1/5 green slices
  • spinner B has 3/12 white slices and 9/12 green slices

The 4 options are:

  • spinner B lands on a green slice
  • spinner A lands on a white or green slice
  • spinner A lands on a white slice
  • spinner B lands on a yellow slice

We already know that choice 2 is 100% probable and option 4 is 0% probability, because in option 2, the spinner A ONLY has white or green slices so the spinner must land on the slice. In option 4, no matter which spinner is spun no yellow slices are available to land on.

the chance of option 1 happening is 9/12 which is 3/4 which is 75%

the chance of option 3 of happening 4/5 which is 80%

option 1 has a 75% chance

option 2 has a 100% chance

option 3 has an 80% chance

option 4 has a 0% chance

this means that the order is:

1. option 4

2. option 3

3. option 1

4. option 2

because it is least likely to most likely.

hope this helped you out and if you need any questions feel free to ask

good luck in maths!

-cheesetoasty

7 0
3 years ago
How can 6.38 x 0.08 = 6.9768? (Show your steps please!)
ELEN [110]

Answer:

6.38 × 0.08 = 5,104 not 6,9768 .

step by step attached

8 0
3 years ago
Hi can someone help me with this?
zalisa [80]

Answer:

2^{2} or 4

Step-by-step explanation:

7 0
3 years ago
please help! this assgiment was due like a week ago and i’m missing so many more i just need help finishing this!
mariarad [96]

Answer:

17.5hrs

Step-by-step explanation:

Set they worked for x hours,

10x+35=210

10x=175

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6 0
3 years ago
an outlier may be defined as a data point that is more than 1.5 times the interquartile range below the lower quartile or is mor
Ira Lisetskai [31]

Supposing a normal distribution, we find that:

The diameter of the smallest tree that is an outlier is of 16.36 inches.

--------------------------------

We suppose that tree diameters are normally distributed with <u>mean 8.8 inches and standard deviation 2.8 inches.</u>

<u />

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • The Z-score measures how many standard deviations the measure is from the mean.
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.<u> </u>

<u />

In this problem:

  • Mean of 8.8 inches, thus \mu = 8.8.
  • Standard deviation of 2.8 inches, thus \sigma = 2.8.

<u />

The interquartile range(IQR) is the difference between the 75th and the 25th percentile.

<u />

25th percentile:

  • X when Z has a p-value of 0.25, so X when Z = -0.675.

Z = \frac{X - \mu}{\sigma}

-0.675 = \frac{X - 8.8}{2.8}

X - 8.8 = -0.675(2.8)

X = 6.91

75th percentile:

  • X when Z has a p-value of 0.75, so X when Z = 0.675.

Z = \frac{X - \mu}{\sigma}

0.675 = \frac{X - 8.8}{2.8}

X - 8.8 = 0.675(2.8)

X = 10.69

The IQR is:

IQR = 10.69 - 6.91 = 3.78

What is the diameter, in inches, of the smallest tree that is an outlier?

  • The diameter is <u>1.5IQR above the 75th percentile</u>, thus:

10.69 + 1.5(3.78) = 16.36

The diameter of the smallest tree that is an outlier is of 16.36 inches.

<u />

A similar problem is given at brainly.com/question/15683591

3 0
2 years ago
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