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4 years ago

The circumference of a circle is 36cm what is the radius?

Mathematics

1 answer:

Dominik [7]4 years ago

6 0

Answer:

About 5.73 cm

Step-by-step explanation:

C=2πr so

36=2πr (divide by 2)

18=πr (using 3.14 as π)

18=(3.14)r (divide by 3.14)

r=5.732484076 so

R≈5.73 cm

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If angle of a sector is 115 what is the central angle

Natasha_Volkova [10]

If angle of a sector is 115
the central angle would be 115 also

as the arc measure is equal to the measure of its central angle

3 0

4 years ago

Using a function on her calculator, Jamie can generate a single random digit by pressing the "Enter" key. She wants to experimen

agasfer [191]

Answer:

We should expect 25 generated digits in order to get a fifth "4"

Step-by-step explanation:

For each generated digit, there are only two possible outcomes. Either it is a four, or it is not. The probability of a digit being a 4 is independent of other digits. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

The expetcted number of trials to get r sucesses, with p probability, is given by:

$E = \frac{r}{p}$

Assume that the calculator will generate a "4" on any given attempt with probability 0.20.

This means that $p = 0.2$

How many total generated digits should we expect in order to get a fifth "4"

This is E when r = 5. So

$E = \frac{r}{p} = \frac{5}{0.2} = 25$

We should expect 25 generated digits in order to get a fifth "4"

6 0

3 years ago

Find the area of △DEF with vertices D(−4, −2), E(−1, −8), and F(−7, −8). The AREA of △DEF is ______ square units. *

prohojiy [21]

Answer:

If you plot these points you will see that the base is 6 (distance from E to F, count the squares).

The height will be 6 ( distance from line EF to D, again count the squares).

Using the Area formula you get A = 1/2 (6) (6) = 18

6 0

3 years ago

Rhombus PQRS with vertices P(-8, 6), Q(-4, 8), R(0, 6), and S(-4, 4) REFLECTED over the line y = 2.

victus00 [196]

Answer:

P'(-8, -2), Q'(-4, -4), R'(0, -2) and S'(-4, 0)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.

Reflection is the flipping of a point about an axis.

Given the Rhombus PQRS with vertices P(-8, 6), Q(-4, 8), R(0, 6), and S(-4, 4), if the rhombus is reflected over the y = 2 line the new point is:

For P(-8, 6): The point P has a y coordinate 4 units above the y = 2 line. Hence if it is reflected over the line y = 2, the new point would have a y coordinate 4 units below the y = 2 line which is P'(-8, -2)

For Q(-4, 8): The point Q has a y coordinate 6 units above the y = 2 line. Hence if it is reflected over the line y = 2, the new point would have a y coordinate 6 units below the y = 2 line which is Q'(-4, -4)

For R(0, 6): The point R has a y coordinate 4 units above the y = 2 line. Hence if it is reflected over the line y = 2, the new point would have a y coordinate 4 units below the y = 2 line which is R'(0, -2)

For S(-4, 4): The point S has a y coordinate 2 units above the y = 2 line. Hence if it is reflected over the line y = 2, the new point would have a y coordinate 2 units below the y = 2 line which is S'(-4, 0)

Therefore the reflected rhombus is at P'(-8, -2), Q'(-4, -4), R'(0, -2) and S'(-4, 0)

5 0

3 years ago

Rewrite the radical expression as an expression with rational exponents.

Lostsunrise [7]

Answer:

x to the seven fifths power

Step-by-step explanation:

x to the power 7: x⁷

Fifth root: (x⁷)^⅕ = x^(7/5)

5 0

4 years ago

Read 2 more answers