MATHEMATICS
HIGH SCHOOL

Answer:

If the movement is starting on the positive x-axis and moving 1/3 of the way around a circle, the distance traveled will be 18.84/3 which is 6.28m

The distance travelled around a circle is the circumference of the circle. The formula for calculating the area of a circle is expressed as:

A = 2πr

r is the radius of the circle

Given that the radius is 3m

C = 2(3.14)(3)

C = 18.84m

If the movement is starting on the positive x-axis and moving 1/3 of the way around a circle, the distance traveled will be 18.84/3 which is 6.28m

Learn more here: brainly.com/question/23242098

Answer: Perimeter of circle = 2*r*pi

r = 3

2*3m*pi = 6pi

6pi = 18.850m

There perimeter of the circle is 18.850 meters. You travelled 1/3 of the way, which means it's 1/3*18.850 = 6.2833 m

r = 3

2*3m*pi = 6pi

6pi = 18.850m

There perimeter of the circle is 18.850 meters. You travelled 1/3 of the way, which means it's 1/3*18.850 = 6.2833 m

MIDDLE SCHOOL

Does the area of a square vary with the side length?

Correct, because the area of a square = side x side = side^2

HIGH SCHOOL

A 10K run is 10 kilometers long. If 1 meter = 1.094 yards, use dimensional analysis to find the length of the race in miles. (Hint: 1 mile = 1760 yards). Round to the nearest tenth.

Answer:

6.215 miles.

Step-by-step explanation:

Given : A 10K run is 10 kilometers long.

To Find : find the length of the race in miles.

Solution:

Length of race = 10 km

1 k m = 1000 m

10 km = 10000 m

So, length of race in meters = 10000

Now 1 m = 1.094 yards

So, 10000 m = yards

Now 1760 yards = 1 mile

So, 1 yard =

So, 10940 yards =

So, 10940 yards =

Hence the length of the race in miles is 6.215 miles.

10936.1 yards = 10 kilometers 1 kilometer = 1093.1 yards

MIDDLE SCHOOL

A spinner is divided into 16 sections.3 sections are red 6 are blue 5 are purple and 2 are orange. If you spin the spinner what is the probability that you will land on blue

6/16 or 3/8 because if there are 6 blue out of 16 that it obvious. Please press thank you cuz I hope it helps.

HIGH SCHOOL

Calculate the variance for the data set. Round your answer to the nearest hundredth. Show all of your steps. { 10 , 19 , 21 , 28 , 12 , 20 , 16 }

Answer:

Variance of the given data = 31.143

Explanation:

Variance, , where n is the number of observations, μ is the mean and is the observations made.

Number of observations, n = 7

Mean, μ =

So variance of the given data = 31.143

MIDDLE SCHOOL

a driver went 25.65 feet below the surface of the ocean, and then 16.5 feet further down, he then rose 12.45. Write and solve an expression to find the driver,s new depth

25.65 feet below the surface can be written as -25.65

going 16.5 feet further down can be written as -16.5

rising 12.45 feet can be written as 12.45

our expression can be written as -25.65-16.5+12.45

going 16.5 feet further down can be written as -16.5

rising 12.45 feet can be written as 12.45

our expression can be written as -25.65-16.5+12.45

COLLEGE

Solve the equation using square roots. x2 -9=0

X^2 - 9 = 0

x^2 = 9

x = 3

3^2 - 9 = 0

9 - 9 = 0

0 = 0

The answer is x = 3

Hope this helps =)

x^2 = 9

x = 3

3^2 - 9 = 0

9 - 9 = 0

0 = 0

The answer is x = 3

Hope this helps =)

Answer: x = 3, x= - 3

Step-by-step explanation:

x^2 - 9 = 0

=> x^2 = 9

=> x = 3, x= - 3

COLLEGE

4(x−3)−r+2x=5(3x−7)−9x

4(x + -3) + -1r + 2x = 5(3x + -7) + -9x

Reorder the terms:

4(-3 + x) + -1r + 2x = 5(3x + -7) + -9x

(-3 * 4 + x * 4) + -1r + 2x = 5(3x + -7) + -9x

(-12 + 4x) + -1r + 2x = 5(3x + -7) + -9x

Reorder the terms:

-12 + -1r + 4x + 2x = 5(3x + -7) + -9x

Combine like terms: 4x + 2x = 6x

-12 + -1r + 6x = 5(3x + -7) + -9x

Reorder the terms:

-12 + -1r + 6x = 5(-7 + 3x) + -9x

-12 + -1r + 6x = (-7 * 5 + 3x * 5) + -9x

-12 + -1r + 6x = (-35 + 15x) + -9x

Combine like terms: 15x + -9x = 6x

-12 + -1r + 6x = -35 + 6x

Add '-6x' to each side of the equation.

-12 + -1r + 6x + -6x = -35 + 6x + -6x

Combine like terms: 6x + -6x = 0

-12 + -1r + 0 = -35 + 6x + -6x

-12 + -1r = -35 + 6x + -6x

Combine like terms: 6x + -6x = 0

-12 + -1r = -35 + 0

-12 + -1r = -35

Solving

-12 + -1r = -35

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '12' to each side of the equation.

-12 + 12 + -1r = -35 + 12

Combine like terms: -12 + 12 = 0

0 + -1r = -35 + 12

-1r = -35 + 12

Combine like terms: -35 + 12 = -23

-1r = -23

Divide each side by '-1'.

r = 23

result

r = 23

Reorder the terms:

4(-3 + x) + -1r + 2x = 5(3x + -7) + -9x

(-3 * 4 + x * 4) + -1r + 2x = 5(3x + -7) + -9x

(-12 + 4x) + -1r + 2x = 5(3x + -7) + -9x

Reorder the terms:

-12 + -1r + 4x + 2x = 5(3x + -7) + -9x

Combine like terms: 4x + 2x = 6x

-12 + -1r + 6x = 5(3x + -7) + -9x

Reorder the terms:

-12 + -1r + 6x = 5(-7 + 3x) + -9x

-12 + -1r + 6x = (-7 * 5 + 3x * 5) + -9x

-12 + -1r + 6x = (-35 + 15x) + -9x

Combine like terms: 15x + -9x = 6x

-12 + -1r + 6x = -35 + 6x

Add '-6x' to each side of the equation.

-12 + -1r + 6x + -6x = -35 + 6x + -6x

Combine like terms: 6x + -6x = 0

-12 + -1r + 0 = -35 + 6x + -6x

-12 + -1r = -35 + 6x + -6x

Combine like terms: 6x + -6x = 0

-12 + -1r = -35 + 0

-12 + -1r = -35

Solving

-12 + -1r = -35

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '12' to each side of the equation.

-12 + 12 + -1r = -35 + 12

Combine like terms: -12 + 12 = 0

0 + -1r = -35 + 12

-1r = -35 + 12

Combine like terms: -35 + 12 = -23

-1r = -23

Divide each side by '-1'.

r = 23

result

r = 23

MIDDLE SCHOOL

24÷4=6 can be thought of as 24 broken into 4 groups of 6 each.

Answer:

yes

Step-by-step explanation:

MIDDLE SCHOOL

determine the average speed of the current in a river if a boat moves at 20 miles/hour in still water and takes 3 hours to travel 78 miles downstream.

Answer:

The speed of the current in a river is 6 miles per hour.

Step-by-step explanation:

Given:

A boat moves at 20 miles/hour in still water and takes 3 hours to travel 78 miles downstream.

Now, to determine the average speed of the current in river.

Let the speed of boat in still water be

Boat moves in still water at = 20 miles/hour

So,

And the speed of the stream be

So, speed of downstream =

Now, the speed of upstream =

As given:

Distance = 78 miles.

Time = 3 hours.

Speed of downstream =

Speed of downstream =

As speed of downstream is taken as

Thus,

Speed of downstream =

(As we see above )

⇒

Subtracting both sides by 20 we get:

⇒

⇒

So, speed of the stream = 6 miles per hour.

Therefore, the speed of the current in a river is 6 miles per hour.