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3 years ago

Using the approximation 3.14 for \pi what is the radius of a circle with circumference 75.4m

Mathematics

1 answer:

Charra [1.4K]3 years ago

3 0

Answer:

The radius of the circle is 12.006 m.

Step-by-step explanation:

Let us assume the radius of the circle = r

Circumference = 75.4 m

Now, CIRCUMFERENCE OF A CIRCLE = 2 π r

⇒ 75 .4 m = 2 π r

Now, putting π = 3.14, we get:

75 .4 m = 2 (3.14) r

⇒ 75.4 = 6. 28 r

or, r = 75.4/6.28 = 12.006

or, r = 12.006 m

Hence, the radius of the circle with circumference 75.4 m is 12.006 m.

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2 years ago

Jessie's school has 570 students. Thirty percent of the students are eighth-graders. One-third of eighth-graders walk to school.

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2 years ago

A shopping mall parking garage charges $2 for the first half hour and $1.20 for each additional half hour (even if it is under 3

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4 0

3 years ago

Suppose that in a certain chemical process the reaction time y (hr) is related to the temperature (°F) in the chamber in which t

Svetllana [295]

Answer:

The expected change in reaction time for a 1°F increase in temperature is 4.39 hours.

The expected change in reaction time for a 8°F increase in temperature is 4.32 hours.

Step-by-step explanation:

The simple linear regression line is used to determine the changes in the dependent variables when the independent variable is changed.

The general form of the simple linear regression line is:

$y=\alpha +\beta x$

The simple linear regression model for the reaction time of a certain chemical process based on the temperature (°F) in the chamber in which the reaction takes place is:

$y=4.40-0.01\ x$

Here,

y = reaction time (in hours)

x = temperature (°F)

Compute the expected change in reaction time for a 1°F increase in temperature as follows:

$y=4.40-0.01\ (1^{\text{o}})$

$=4.40-0.01\\=4.39\ \text{hours}$

The expected change in reaction time for a 1°F increase in temperature is 4.39 hours.

Compute the expected change in reaction time for a 8°F increase in temperature as follows:

$y=4.40-0.01\ (8^{\text{o}})$

$=4.40-0.08\\=4.32\ \text{hours}$

The expected change in reaction time for a 8°F increase in temperature is 4.32 hours.

7 0

3 years ago