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vaieri [72.5K]
2 years ago
13

The oblique circular cone has an altitude and a diameter of base that are each of length 12 cm. The line segment joining the ver

tex to the center of the base is the axis of the cone.What is the length (in centimeters) of the axis?

Mathematics
1 answer:
Viktor [21]2 years ago
5 0

9514 1404 393

Answer:

  6√5 ≈ 13.42 cm

Step-by-step explanation:

The axis, a radius, and the edge marked 12 cm together form a right triangle, of which the axis is the hypotenuse. The Pythagorean theorem applies.

  6² +12² = axis² = 180

  axis = √180 = 6√5 ≈ 13.42 . . . cm

The length of the axis is 6√5 cm, about 13.42 cm.

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A drawer contains loose socks. there are 2 blue and 4 black socks in the drawers. what is the probability that you choose a sock
otez555 [7]

|\Omega|=6\cdot5=30\\|A|=4\cdot3=13\\\\P(A)=\dfrac{12}{30}=\dfrac{2}{5}=40\%

4 0
2 years ago
One month Isabel rented 5 movies and 2 video games for a total of $18. The next month she rented 3 movies and 8 video games for
Elis [28]

Answer:

video=$6.5

movie=$1

Step-by-step explanation:

6 0
3 years ago
What is the upper quartile, Q3, of the following data set? 54, 53, 46, 60, 62, 70, 43, 67, 48, 65, 55, 38, 52, 56, 41
scZoUnD [109]
The original data set is 
{<span>54, 53, 46, 60, 62, 70, 43, 67, 48, 65, 55, 38, 52, 56, 41}

Sort the data values from smallest to largest to get
</span><span>{38, 41, 43, 46, 48, 52, 53, 54, 55, 56, 60, 62, 65, 67, 70} 
</span>
Now find the middle most value. This is the value in the 8th slot. The first 7 values are below the median. The 8th value is the median itself. The next 7 values are above the median. 

The value in the 8th slot is 54, so this is the median

Divide the sorted data set into two lists. I'll call them L and U 
L = {<span>38, 41, 43, 46, 48, 52, 53}
U = {</span><span>55, 56, 60, 62, 65, 67, 70}
they each have 7 items. The list L is the lower half of the sorted data and U is the upper half. The split happens at the original median (54).

Q3 will be equal to the median of the list U
The median of U = </span>{<span>55, 56, 60, 62, 65, 67, 70} is 62 since it's the middle most value. 

Therefore, Q3 = 62

Answer: 62</span>
4 0
3 years ago
On average, 240 customers arrive at a bank every morning (8AM - noon), but they do so randomly (i.e., not exactly every minute).
arlik [135]

Answer:

3.4 minutes

Step-by-step explanation:

Every morning there are expected 240 customers who arrive at bank for the customer service. There are on average 240 customers arriving to the bank every morning. There are total 5 bank tellers and they take average 3 minutes to help customer. The average time each bank teller spends on satisfying a customer will be calculated using the linear model,

Using wait time calculator:

Average service time / standard deviation

Ce = 3/1.5 = 2

The spent time on a customer is 3.4 minutes.

7 0
3 years ago
How do you solve 10.50 X 8.5
emmasim [6.3K]

Answer:

89.25

Step-by-step explanation:

because:

it just is

6 0
3 years ago
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