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nekit [7.7K]
3 years ago
11

A cone has a diameter labeled twelve centimeters and a height labeled thirty-two centimeters. Find the area of a vertical cross

section through the center of the base of the cone.
Mathematics
1 answer:
svlad2 [7]3 years ago
5 0

Answer:

A=0.0192

Step-by-step explanation:

Diameter labeled twelve centimetres D =12cm => 0.12

height labeled thirty-two centimetres H= 32cm => 0.32

Generally the vertical cross section of this cone is a triangle

Mathematically solving

Area of vertical cross section through the center of the base of the cone is given by A=1/2 D*height

A=R*H

Therefore

A=\frac{0.12}{2} *0.32

A=0.06 *0.32

A=0.0192

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The principal at Riverside High School would like to estimate the mean length of time each day that it takes all the buses to ar
Lilit [14]

Answer:

C) 11

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that z_{\alpha/2}=1.64

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{s}{\sqrt{n}}    

And on this case we have that ME =7 and we are interested in order to find the value of n, if we solve n from the last equation we got:

n=(\frac{z_{\alpha/2} s}{ME})^2  

And replacing the values that we got we have:

n=(\frac{1.64(14)}{7})^2 =10.758 \approx 11

C) 11

8 0
4 years ago
WILL GIVE BRAINLIEST PLEASE HELP!!
kenny6666 [7]
486, (1/3) times 486 = 162, (1/3) times 162 = 54, (1/3) times 54 = 18
so answer is D
5 0
4 years ago
Find the slope of the line that goes through (6, 10) and (2,5)
Paul [167]

Answer:

-5/-4

Step-by-step explanation:

m=y2-y1/x2-x1

m=5-10/2-6

m=-5/-4

8 0
3 years ago
Read 2 more answers
Can someone help me with these problems? Please!
masya89 [10]

Step-by-step explanation:

2) Slope can be written as rise over run:

  • rise: add to the y-value
  • run: add to the x-value

a) Slope=-1\ over\ 1\quad \rightarrow \quad (11 + 1, -8 - 1)\implies (12, -9)\\b) Slope=7\ over\ 2\quad \rightarrow \quad (2+2,2+7)\implies (4, 9)\\c) Slope=9\ over\ 4\quad \rightarrow \quad (-5+4,-2+9)\implies (-1, 7)

3) Slope formula is: \dfrac{y_2-y_1}{x_2-x_1}

slope=\dfrac{15-3}{5-1}=\dfrac{12}{4}=\boxed{3}

4) Average rate of change is the slope of the given interval:

a) when x = 0, y = 0 and when x = 1, y = -3

   Slope=\dfrac{-3-0}{1-0}=\dfrac{-3}{1}=-3

b) when x = -2, y = 0 and when x = -1, y = 3

   Slope=\dfrac{3-0}{-1+2}=\dfrac{3}{1}=3

c) when x = 0, y = 0 and when x = 2, y = 0

   Slope=\dfrac{0-0}{2-0}=\dfrac{0}{2}=0

3 0
3 years ago
PLEASE HEELPPP PEOPLE :(!!!
andreyandreev [35.5K]

Answer: Origin, 8,0, 8,3,and 0,3

Step-by-step explanation:

Firstly, it tells us that we need to rotate it around the origin, so no matter what, the origin will always be one of our coordinate. After that -10 and -2 has an 8 difference, so if it is 180 degrees, the co-ordinate must be 8 since the origin and 8 is also a difference of eight.

Secondly, now when we need to find out the height, we know that 5 and 2, which are the heights of D and C, the difference is 3. So x-0=3, well, we already know that x is 3 because 3+0=x. That means DC on the other side is 0,3 since we always read the x axis first and then the y. And there you go! You now know the 4 co-ordinates! They are 0,0 , 8,0 , 8,3 and 0,3

Hope this helps :>

5 0
3 years ago
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