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Whitepunk [10]
3 years ago
13

You have an ice cream scoop with a 2-inch diameter. You have an ice cream cone with a 2-inch diameter and a height of 5 inches.

If you place one scoop of ice cream on the cone and let the ice cream melt, will it spill over the cone?
Mathematics
1 answer:
IRISSAK [1]3 years ago
4 0

Answer:

Since the volume of the cone is bigger than the volume of the scoop, it won't spill.

Step-by-step explanation:

In order to calculate if the ice cream will spill we will need to calculate the volume on the ice cream scoop and the volume of the cone. If the volume of the scoop is bigger than the cone it will spill.

volume scoop = (4/3)*pi*r³ = (4/3)*pi*(2/2)³ = 4.1888 in³

volume cone = (pi*r²*h)/3 = [pi*(2/2)²*5]/3 = 5.236 in³

Since the volume of the cone is bigger than the volume of the scoop, it won't spill.

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tatiyna
<h2>Put x = \dfrac{39}{8} I write the sum of 6x and 2x is at least 39 .</h2>

Step-by-step explanation:

We have,,

6x and 2x

To find, the value of x = ?

According to question,

The sum of 6x and 2x is at least 39

∴ 6x + 2x = 39

⇒ 8x = 39

⇒  x = \dfrac{39}{8}

∴ The value of x = \dfrac{39}{8}

Thus, put x = \dfrac{39}{8} I write the sum of 6x and 2x is at least 39 .

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3 years ago
Arianna gathered data about the distance of 20 cities from the equator and the average hours of sunlight per day in December for
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<u>Answer-</u>

<em>A. strong negative correlation.</em>

<u>Solution-</u>

<u>Direction of a relationship</u>

  1. Positive- If one variable increases, the other tends to also increase. If one decreases, the other tends to also. It is represented by positive numbers(i.e 0 to 1).
  2. Negative- If one variable increases, the other tends to decrease, and vice-versa.  It is represented by negative numbers(i.e 0 to -1)

<u>Strength of a relationship</u>

  1. Perfect Relationship- When two variables are linearly related, the correlation coefficient is either 1 or -1. They are said to be perfectly linearly related, either positively or negatively.
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As in this case, correlation coefficient was found to be -0.91, which is negative and close to -1, so it is a strong negative correlation.


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3 years ago
An angle measures (2x + 11).
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Vertical angles are always congruent, or of equal measure.
Vertical angle is equal to given angle. Answer is:(2x+11)
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64 in

Step-by-step explanation:

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The circle has a radius of 11 cm. What is the area of the shaded sector? Use 3.14 for π, and round your answer to the nearest te
Alenkasestr [34]

Answer:

C) 253. 3 cm²

Step-by-step explanation:

1. Sector area formula can be in degrees or radians. I will use degrees because we are given 240 degrees as a unit.

2. SA= \frac{x}{360} times \pi r^{2} where x is the degrees of the sector

3. 240/360 times 3.14(11)²

4. 0.66666667 times 379.94

5. approximately 253. 3 cm²

4 0
3 years ago
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