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Kobotan [32]
3 years ago
14

a cylinder and a cone start with the same radius and height the radius of the cone is then trippled and the height of the cone i

s cut in half. the radius of the cylinder stays the same
Mathematics
1 answer:
Fittoniya [83]3 years ago
3 0

Answer:

Therefore the cone is the greatest relative increase in volume.

Step-by-step explanation:

Cone:

Original cone = (1/3)π(h)r^2

Changed cone = (1/3)π(h/2)(3r)^2

= (1/2)(1/3)π(h)9r^2

= (9/2) * Original cone

=4.5 * Original cone

Cylinder:

Original cylinder = π(h)r^2

Changed cylinder = π(2h)r^2

=2 * Original cylinder

Therefore the cone is the greatest relative increase in volume.

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154

Step-by-step explanation:

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3 years ago
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Use technology or a z-score table to answer the question.
Hoochie [10]

Answer: The percentage of hotels in the city have a nightly cost of more than $200 is 21%

Step-by-step explanation:

Since the nightly cost of hotels in a certain city is normally distributed,

we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = the nightly cost of hotels.

µ = mean cost

σ = standard deviation

From the information given,

µ = $180.45

σ = $24.02

The probability that a hotel in the city has a nightly cost of more than $200 is expressed as

P(x > 200) = 1 - P(x ≤ 200)

For x = 200,

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Looking at the normal distribution table, the probability corresponding to the z score is 0.79

Therefore,

P(x > 200) = 1 - 0.79 = 0.21

The percentage of hotels in the city have a nightly cost of more than $200 is

0.21 × 100 = 21%

6 0
3 years ago
Rosa made a mosaic wall using 42 black tiles, 35 blue tiles, and 23 red tiles. Write a percent to represent the number of red ti
sergejj [24]
First you have to figure out the total. 
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So plug it in.
23/100
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What property of multiplication allows you to multiply a rate by a conversion factor without changing its value?
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A conversion factor originally known as unity bracket method, is a mathematical tool for converting between units of measurement. It is sometimes referred to as a unit multiplier, and consists of a fraction in which the denominator is equal to the numerator. A conversion factor is used to change the units of a measured quantity without changing its value. Because of the identity property of multiplication, the value of a number will not change as long as it is multiplied by one.Also, if the numerator and denominator of a fraction are equal to each other, then the fraction is equal to one. So as long as the numerator and denominator of the fraction are equivalent, they will not affect the value of the measured quantity. For example, Days are converted to hours, by multiplying the days by the conversion factor as 24. The conversion can be reversed by dividing, the hours, by 24 to get days; however, the reciprocal 1/24 could be considered the reverse conversion factor for an hours-to-days conversion, where 1/24 ~= 0.0416666666667. Hence, the term "conversion factor" is the multiplier which yields the result, not a divisor from that viewpoint. To yield hours, the conversion factor is 24, not 1/24, so: hours = days × 24 (multiplying by the factor). Examples of Conversion Factors Since 1 day = 24 hours = 1440 minutes, therefore 15 minutes (1 day/1440 minutes) = 15/1440 ~= 0.010416667 = ~0.01 days. Since 1 hour = 60 mins = 3600 seconds, therefore 7200 seconds = 120 mins = 2 hours.
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3 years ago
100 POINTS! ANSWER HAS TO BE CORRECT TO GET BRAINLIEST! HELP!
AleksandrR [38]

Answer:

<h2>∠Q corresponds with ∠Z</h2>

Step-by-step explanation:

  1. form a graph
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  3. You reflect ΔZMN across the y- axis
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  6. m∠Q ≅ m∠Z as well as being a corresponding triangle

<h3>Brainliest please?</h3>
5 0
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