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lesya [120]
3 years ago
7

A sphere of diameter D inches is cut by a plane which passes through its center. Find the area of the cross-section, leaving the

answer in terms of π.
Mathematics
1 answer:
leva [86]3 years ago
3 0

Answer:

0.25D^2 π in^2.

Step-by-step explanation:

The cross section is a circle of diameter D inches, so its radius is 0.5D inches.

The area of cross section is  πr^2

= (0.5D)^2 π

= 0.25D^2 π in^2.  

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Rhonda drove 51 miles per hour for 5 hours. She then drove 55 miles per hour for x hours. Which expression is equivalent to the
lawyer [7]

The expression equivalent to the total distance Rhonda drove is 51x = 275

Given:

Distance 1:

Number of miles = 51 miles

Number of hours = 5 hours

Distance 2:

Number of miles = 55 miles

Number of hours = x hours

<em>Ratio of miles to number of hours</em> = 51 miles : 5 hours

<em>Ratio of miles to number of hours</em> = 55 miles : x hours

Equate the ratios

51 : 5 = 55 : x

51/5 = 55/x

cross product

51 × x = 5 × 55

51x = 275

x = 275 / 51

x = 5.392156862745098

Approximately,

x = 5.4 hours

Therefore, the number of hours taken to travel 55 miles is 5.4 hours

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Answer:

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Step-by-step explanation:

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