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Leto [7]
4 years ago
13

Find the area and circumference.

Mathematics
1 answer:
saveliy_v [14]4 years ago
5 0

Answer:

  • area ≈ 176.7 cm²
  • circumference ≈ 47.1 cm

Step-by-step explanation:

The radius is half the diameter, so is ...

  r = d/2 = 15 cm/2 = 7.5 cm

The area formula is ...

  A = πr²

Filling in the radius, we have ...

  A = π·(7.5 cm)² = 56.25π cm² ≈ 176.7 cm² . . . area

__

The circumference formula is ...

  C = πd

Filling in the diameter, we have ...

  C = π·(15 cm) = 15π cm ≈ 47.1 cm . . . circumference

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The lengths (in inches) of a sample of snakes in the Clarmont Zoo's reptile house are as follows: 9, 15, 86, 13, 16, 101, 85, 10
elena-14-01-66 [18.8K]

Answer:

A higher value of standard deviation tells us that there is high variability in the length of the snake from the mean length of the snake.

Step-by-step explanation:

We are given the following information in the question:

Sample of snakes in the Clarmont Zoo's reptile house are as follows:

9, 15, 86, 13, 16, 101, 85, 10, 14, 16, 102

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{467}{11} = 42.4545

Sum of squares of differences = 1119.206611 + 753.7520659 + 1896.206612 + 867.5702477 + 699.842975 + 3427.570248 + 1810.115703 + 1053.29752 + 809.6611568 + 699.842975 + 3545.661158 = 16682.72727

S.D = \sqrt{\frac{16682.72727}{10}} = 40.8445

Standard deviation:

  • Standard deviation tells you how spread out the data is.
  • It is a measure of how far each observed value is from the mean.
  • A low standard deviation indicates that the values tend to be close to the mean, while a high standard deviation indicates that the values are spread out over a wider range.

A higher value of standard deviation tells us that there is high variability in the length of the snake from the mean length of the snake. The data is overspread over a wide range.

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Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8.
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Ok, so yo know what a net is? (not like fishing) like when you unfold the shape

ok so

the left side box surface area is
SA=2(LW+LH+WH)
SA=2(35*12.5+35*32.5+12.5*32.5)
SA=2(437.5+1137.5+406.25)
SA=2(1981.25)
SA=3962.5 cm^2

the right shape (triangular psism)
has 2 triangles and 3 rectangles
SA=2(1/2bh)+2(slantheight times side)+bh
SA=(23 times 20.5)+2(23.5 times 12.5)+(23 times 12.5)
SA=471.5+2(293.75)+287.5
SA=759+595.5
SA=1346.5

box=3962.5 cm^2
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5 0
3 years ago
Can someone solve these for me please
Grace [21]

Answer:

2. 16

3. 46

4. 59

Step-by-step explanation:

5.The measure of smaller angle is 87 degrees.

Step-by-step explanation:

Consider the provided information.

The provided angles are 3x degree and 2x + 25 degree.

Two angles are said to be Supplementary angles if their sum is 180 degree.

It is given that the provided angle are supplementary angles, thus

3x + 2x + 25 = 180

5x + 25 = 180

5x  = 180 - 25

5x  = 155

x = 31

Now, substitute the value of x in first angle i.e 3x.

3(31) = 93

Substitute the value of x in the second angle i.e 2x + 25

2(31) + 25 = 62 + 25 = 87

Hence, the measure of smaller angle is 87 degrees.

8 0
3 years ago
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