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3 years ago

What is the pattern as the exponents decrease?

Mathematics

2 answers:

pishuonlain [190]3 years ago

5 0

Answer:

Step-by-step explanation:

Edge 2020

Pie3 years ago

4 0

Divide the previous value by 5.

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Find the length of the arc and express your answer as a fraction times pie

Elina [12.6K]

Solution:

Given a circle of center, A with radius, r (AB) = 6 units

Where, the area, A, of the shaded sector, ABC, is 9π

To find the length of the arc, firstly we will find the measure of the angle subtended by the sector.

To find the area, A, of a sector, the formula is

$\begin{gathered} A=\frac{\theta}{360\degree}\times\pi r^2 \\ Where\text{ r}=AB=6\text{ units} \\ A=9\pi\text{ square units} \end{gathered}$

Substitute the values of the variables into the formula above to find the angle, θ, subtended by the sector.

$\begin{gathered} 9\pi=\frac{\theta}{360\degree}\times\pi\times6^2 \\ Crossmultiply \\ 9\pi\times360=36\pi\times\theta \\ 3240\pi=36\pi\theta \\ Divide\text{ both sides by 36}\pi \\ \frac{3240\pi}{36\pi}=\frac{36\pi\theta}{36\pi} \\ 90\degree=\theta \\ \theta=90\degree \end{gathered}$

To find the length of the arc, s, the formula is

$\begin{gathered} s=\frac{\theta}{360\degree}\times2\pi r \\ Where \\ \theta=90\degree \\ r=6\text{ units} \end{gathered}$

Substitute the variables into the formula to find the length of an arc, s above

$\begin{gathered} s=\frac{\theta}{360}\times2\pi r \\ s=\frac{90\degree}{360\degree}\times2\times\pi\times6 \\ s=\frac{12\pi}{4}=3\pi\text{ units} \\ s=3\pi\text{ units} \end{gathered}$

Hence, the length of the arc, s, is 3π units.

4 0

1 year ago

Make a tree diagram to show sample space. Then select the total number of outcomes.

Margaret [11]

Answer:

B. 10

Step-by-step explanation:

The first choice has 2 options: square or circle

The second choice has 5 options: orange, blue, yellow, red, or green.

2 x 5 = 10 total outcomes

7 0

3 years ago

This jar has 1 red, 74 yellow, and 25 green gumballs. What are the chances of picking a green gumball? the red one?

kari74 [83]

Answer: green = 25/100, red = 1/100

Step-by-step explanation: add ALL of the gumballs, there's your denominator, now you have 0/100 (1+74+25), count the amount of marbles you want to get the probability of, lets say green, there's your numerator (25) = 25/100

5 0

3 years ago

What is the slope of the line passes through the points (-2,-3) and (5,4)?

Taya2010 [7]

The slope is 1.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

What is the greatest common factor of 40 and 36

Kazeer [188]

Nobody goes around with lists of greatest common factors in their head.
When we need to know one, we grab the nearest pencil and work it out.

The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40 .

The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36 .

The common factors of 35 and 40 are 1, 2, and 4 .

The biggest one is 4 .

7 0

3 years ago

Read 2 more answers