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3 years ago

Find the circumference and area of a circlewith a radius of 5 feet.

Mathematics

1 answer:

iVinArrow [24]3 years ago

4 0

Circumference = 2(pi)r

Area = (pi)r^2

r = 5

5 * 2 = 10

Circumference = 10π

5 * 5 = 25

Area = 25π

Using 3.14 as pi substitute:

5 * 3.14 = 15.7

15.7 * 2 = 31.4

Circumference = 31.4

5 * 5 = 25

25 * 3.14 = 78.5

Area = 78.5

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3 years ago

The accuracy of a coin-counter machine is gauged to accept nickels with a mean diameter of millimeters 21.21 mm. A sample of 37

umka2103 [35]

Answer:

μ > 21.21

Test statistic = 1.217

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The null hypothesis, H0 : μ = 21.21

Alternative hypothesis, H1 : μ > 21.21

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(21.212 - 21.21) ÷ (0.01 / √2)

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3 years ago

A What is the slope of a line that passes through the points (1, 2) & (4, 12

Kamila [148]

Answer:

10/3 or 3.33333

Step-by-step explanation:

Images Below

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8 0

3 years ago

How do I find the x and y intercepts from two given points? (-7,6),(-4,11)

V125BC [204]

Answer:

the desired x-intercept is (-53/5, 0); the y-intercept is (0, 53/3).

Step-by-step explanation:

Find the equation of the line through the given points first:

As we move from (-7,6) to (-4,11), x increases by 3 and y by 5.

Thus, the slope of this line is m = rise / run = 5/3.

Use the slope-intercept formula y = mx + b. Substitute 5/3 for m, 6 for y and -7 for x:

6 = (5/3)(-7) + b, where b is the y-coordinate of the y-intercept:

6 = -35/3 + b, or 18/3 = -35/3 + b. Adding 35/3 to both sides, we get:

53/3 = b.

Then the y-intercept is (0, 53/3).

To find the x-intercept, let y = 0 and solve the resulting equatin for x:

0 = (5/3)x + 53/3, or 0 = 5x + 53. Then x = -53/5, and the desired x-intercept is (-53/5, 0).

3 0

3 years ago

What is the slope of the line that passes through the points (4.2) and (-16, -10)?

sergij07 [2.7K]

Given:

A line passes through the points (4,2) and (-16, -10).

To find:

The slope of the line.

Solution:

Slope Formula:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

A line passes through the points (4,2) and (-16, -10). So, slope of the line is

$m=\dfrac{-10-2}{-16-4}$

$m=\dfrac{-12}{-20}$

$m=\dfrac{3}{5}$

Therefore, the slope of the line is $\dfrac{3}{5}$ .

8 0

3 years ago

Find the circumference and area of a circlewith a radius of 5 feet.​

Find the circumference and area of a circlewith a radius of 5 feet.