three friends Luke nick and serena are kicking a soccer ball to each other on the beach Luke kicks the ball to Serena who kicks the ball to nick, who kicks the ball back to Luke. the friends location on the beach are drawn on a coordinate plane as shown where the x values and y represent distance in feet.


WHAT IS THE APPROXIMATE DISTANCE THE BALL TRAVELS AFTER MAKING A FULL ROTATION AROUND THE TRIANGLE OF FRIENDS?

A. 288 feet
B.57.94 feet
C. 144 feet
D. 67.91 feet

The correct option is D. The cost of natural gas is $0.83 per unit.

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation

Consider the provided equation.

116y=96.28

We need to solve the above equation for y.

Divide both sides by 116.

[tex]\dfrac{116y}{116}=\dfrac{96.28}{116}[/tex]

[tex]y=0.83[/tex]

Now consider the provided options.

Hence, the correct option is D. The cost of natural gas is $0.83 per unit.

To know more about Linear equations follow

https://brainly.com/question/14323743

y=5x-6

Hope it helps.

Do comment if you have any query.

Let the number of cats in a farm be [tex]x[/tex] and the number of rabbits be [tex]y[/tex]. The total number of cats and rabbits would be be [tex]x + y[/tex]. As the number of dogs in the farm are [tex]\frac{3}{5}^{th}[/tex] the total number of cats and rabbits, so:

Number of dogs in the farm = [tex]\frac{3}{5} (x + y)[/tex]

Answer:

73 m

Step-by-step explanation:

The formula for the area of a rectangle is a = w(l). Using this, we can plug in the given values and solve for l, the length.

4526 = 62(l)

[tex]\frac{4526}{62} =\frac{62l}{62}[/tex]

l = 73

hope this helps!

Answer: 73 meters

Step-by-step explanation:

The simple formula to calculate the area of a regular rectangle is (Length x Width)

Given the area is 4526, and the width 62, we can use "y" to represent the unknown length.

So, '

62(y)=4526

Divide both sides by 62

1/2[62(y)]=4526/62

Y= 73 meters.

To check, 73x62= 4526, which follows the formula

Answer:

Step-by-step explanation:

1) Simplify 1/3m to m/3.

m/3 - 1 - 1/2n

2) Simplify 1/2n to n/2.

m/3 - 1 - n/2

Answer: 4.4

To find the mad you have to first find the mean of the data set then you have to find the sum of the data values and divide the sum by the number of data values.

Answer:

Each angle has a measure of 75 degrees

Step-by-step explanation:

First of all, we know that angle Z has a measure of 120 degrees and that angle W is a right angle. This means that the measure of angle W would have to be 90.

Next, we know that because the shape is a quadrilateral, the sum of its interior angles has to be equal to 360. Since we know that the measure of angles X and Y are equal (by definition of congruent), we will label them both with the variable x. We can then say the following:

2x + 90 + 120 = 360

We can then proceed to simplify this:

2x + 210 = 360

2x = 150

x = 75

So, the measure of x and y are 75.

Answer:

23

Step-by-step explanation:

the 1st number is x

because they are consecutive:

2nd number is (x+1)

now,

x+(x+1)= 23

2x=23–1

2x=22

x=22/2= 11

so two consecutive numbers are 11 & (11+1)=12

now 11+12=23

Answer:

11 and 12

Step-by-step explanation:

Let the integers be x and x + 1.

Sum of two consecutive integers is 23.

x + x + 1 = 23

2x + 1 = 23

2x = 23 - 1

2x = 22

x = 22 / 2

x = 11

x + 1

= 11 + 1

= 12

The numbers are 11 and 12.

The taxable income for this year will be $37,735. Then the correct option is D.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

This year, you owed $6,414.95 in federal income tax.

If you are taxed at a net rate of 17%.

Then the taxable income for this year will be given by

[tex]\rm Taxable\ income = \dfrac{6414.96}{0.17}\\\\Taxable\ income = 37735.05 \approx 37735[/tex]

More about the percentage link is given below.

https://brainly.com/question/8011401

Answer:

37,735

Step-by-step explanation:

Answer:

HJ = 6

Step-by-step explanation:

The sides are in the proportion :

Therefore,

The Area is a two-dimensional scalar quantity. The area of the composite figure is 264 cm².

The area of a two-dimensional region, form, or planar lamina in the plane is the quantity that represents its extent. On the two-dimensional surface of a three-dimensional object, the surface area is its counterpart.

The composite figure can be broken down into four parts a square(A), a triangle(B) and two rectangles(C and D).

Now, if the area of the composite figure is taken out it will be,

[tex]\text{Area of composite}=\text{Area of Square A} + \text{Area of triangle B} + \text{Area of Rectangle C} + \text{Area of Rectangle D}\\[/tex]

[tex]\text{Area of Composte}=(10^2)+(\dfrac12 \times 6 \times 4)+(8 \times 4)+(20 \times 6)\\\\\text{Area of Composte}= 100+ 12 + 32 + 120 =264\rm\ cm^2[/tex]

Thus, the area of the composite figure is 264 cm².

Learn more about the Area:

https://brainly.in/question/14759304

Answer:

A.

Step-by-step explanation:

4/5 = 0.8

3/4 = 0.75

0.75 < 0.8

Answer:

108 square yards

Step-by-step explanation:

l = 6 yd

w = 4 yd

h = 3 yd

Surface  area of rectangular prism = 2*(lw +wh + hl)

                                                            = 2*(6*4 + 4*3 + 3*6)

                                                            = 2* ( 24 + 12 + 18)

                                                            = 2 *54

                                                            = 108 square yards

Answer:

A, 2 · 8 + 2 · 55 + 88

Step-by-step explanation:

If we find the area of the two triangles above and below, we know the area of one triangle is 8 because (formula for area of triangle: a = bh x 1/2, and   a = 8(2) x 1/2 which equals 8). So if we double this area, we would get 2 · 8.

If we were to find the area of both the rectangles that are left and right of this figure, we know the area of one rectangle would be 55 because (formula for area of rectangle: a = l x w, and a = 5(11) would equal 55). So if we'd doubled this, we would get 2 · 55.

If we were to find the area of the rectangle in front of this entire figure, we know the area would be 88 because (formula for area of rectangle:                a = l x w, and a = 11(8) which would equal 88).

So if we find the surface area of this figure, we'd just need to piece this together to form:-

2 · 8 + 2 · 55 + 88

Answer:

2 · 8 + 2 · 55 + 88

Step-by-step explanation:

I do it right in khan academy

Answer:

n > 10 meaning, n is greater than 10

Step-by-step explanation:

Two times a number  :  2n

Less 4  :  -4

2n-4

Greater than the same number :  >n

Plus 6  :  +6

> n+6

2n-4 > n+6

To find n, we have to get n alone and equal to a single number. To do this, we first subtract 6 from both sides.

2n-10 > n

Then, subtract 2n from both sides

-10 > -n

Now, divide by -1

10 < n

So, n is greater than 10

Answer:

4, 6, and 475

Step-by-step explanation:

See attached image.

The value of the x of the equation x² + 2x = 24 is negative 6 and 4, then the correct option is C.

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The expression equation is given below.

x² + 2x = 24

x² + 2x – 24 = 0

On factorization, we have

       x² + 2x – 24 = 0

x² + 6x – 4x – 24 = 0

       (x – 4)(x + 6) = 0

                         x = –6, 4

The value of x is –6 and 4.

More about the factorization link is given below.

https://brainly.com/question/6810544

Answer:

$16.11

Step-by-step explanation:

10.74÷6

times the number you get by 3

add that number to 10.74

Answer:

x = - 3

Step-by-step explanation:

5x - 5 = 7x + 1 ( subtract 7x from both sides )

- 2x - 5 = 1 ( add 5 to both sides )

- 2x = 6 ( divide both sides by - 2 )

x = - 3

Answer: x = -3

Step-by-step explanation: Here is my explanation...

Step 1: Take away 5x from both sides 5x - 5x - 5 = 7x - 5x + 1.

Step 2: You should then get -5 = 2x + 1, then take away 1 from both sides -5 - 1 = 2x + 1 - 1

Step 3: -6 = 2x, divide 2x on both sides -6/2 = 2x/2

x = -3

Work Check:

5 (-3) - 5 = 7 (-3) + 1

-15 - 5 = -21 + 1

-20 = -20

If the -20 = -20 then this proves that x = -3. I hope this helped!

Answer:

C: cos C

Step-by-step explanation:

Hope it helps you in your learning process.

sin A = BC/AC = 15/17 .....(1)

cos C = BC/AC = 15/17 .....(2)

From (1) & (2)

sin A = cos C

Answer:

It´s C

Step-by-step explanation:

Cos C

Answer:

Option B, [tex]2x^2 - 3x + 10[/tex]

Step-by-step explanation:

Step 1:  Distribute the values

[tex]2(x^2 + 5)-3(x+1) + 3[/tex]

[tex](2*x^2 + 2*5) - (3*x + 3*2) + 3[/tex]

[tex]2x^2 + 10 - 3x - 3 + 3[/tex]

Step 2:  Combine like terms

[tex]2x^2 + 10 - 3x - 3 + 3[/tex]

[tex]2x^2 - 3x + 10[/tex]

Answer: Option B, [tex]2x^2 - 3x + 10[/tex]

Answer:

The correct answer is B

Step-by-step explanation:

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Answer:

The 14" diameter pizza gives you more pizza for your money since it costs less per square inch.

Step-by-step explanation:

We can find the price per square inch of each pizza.

area = πr²

12" diameter pizza

area = π × (6 in.)² = 36π in.²

cost per in.²: $8.99/(36π in.²) = 0.079 $/in.²

14" diameter pizza

area = π × (7 in.)² = 49π in.²

cost per in.²: $10.99/(49π in.²) = 0.071 $/in.²

The 14" diameter pizza gives you more pizza for your money since it costs less per square inch.

Answer:

Square root of 20 :)

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

Now lets solve!!

2^2 + 4^2 = c^2

4 + 16 = c^2

20 = c^2

Now lets find the square root if any :)

[tex]\sqrt{20}[/tex] = no square root

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

im answering so you can give other guy brainliest :)

Answer:

72

Step-by-step explanation:

Answer:  D. 72°

Step-by-step explanation:

Because a triangle equals 180 we take the given info in order to find x

[tex]85+23+x=180\\108+x=180[/tex]

[tex]108+x=180\\-108=-108\\x=72[/tex]

The statements that must be true according to the data presented by the considered histogram are:

A skewed distribution is a distribution having bias on one of the two sides (either left or right).

It is like leaning mountain on one side (left or right).

The missing image of the considered histogram is attached below.

Checking all the options:

It is wrong. The data is numeric, and therefore, not describing qualities, so its not a qualitative data.

The histogram has long tail on the right side, so its right skewed. Thus, this option is correct.

Age group     Frequency (number of people of that age group in party)

0-20                   5

21-40                 13

41-60                  8

61-80                  3

81-100                2

total              5+13+8+3+2 =31

So yes, there were total 31 people at the party as a person can be at max in one age group, so no repeated counting.

From 0 to 20 age group, there were 5 people. But it isn't known if they were < 18 or ≥ 18 (this is the side effect of grouped data, the loss of some information). So this option is not necessarily correct.

It is false. The most common age was from the group 21-40 years old. And 13 is < 20, so it doesn't lie in this group.

Option 6: the majority of the people at the party were less than 61 years old.

Total number of people < 61 = 5+13+8 = 26

26 is more than half of 31 people. So yes, this option is correct.

Thus, the statements that must be true according to the data presented by the considered histogram are:

Learn more about skewed distribution here;

https://brainly.com/question/13111221

The median is the middle number in the data.

Sort them out in order.

30, 33, 35, 38, 41, 43, 43, 50, 64

The middle number is 41 so the median is 41.

[tex]\text{Area of square}=~ \text{Side}^2\\\\~~~~~~~~~~~~~~~~~~~~~=\left(\dfrac 34 \right)^2\\\\~~~~~~~~~~~~~~~~~~~~~=\dfrac{9}{16}~ \text{ft}^2[/tex]

Answer:

0.5625

Step-by-step explanation:

The formula is (L x W)

L = 3/4

W = 3/4

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

Answer:

A total of 142 units of water bottles must be sold to recover the costs of renting costumes.

Step-by-step explanation:

Have a great rest of your day
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