Ishmail jogs around a track that is in the shape of a regular pentagon. One side of the pentagon is ¼ mile long. How far does Ishmail jog if he completes 6 laps around the track?

If the track was a hexagon, how far would Ishmail jog in 6 laps?

Answers

Answer 1

Answer:

Ishmail will  jog 7 1/2=7.5 miles if he completes 6 laps around the track if the track is pentagon.

Ishmail will  jog 9 miles if he completes 6 laps around the track, if the track is hexagon .

Step-by-step explanation:

length of one side of pentagon = 1/4 miles

we know that number of sides of pentagon = 5

thus, total length of pentagon = number of sides * length of one side of pentagon = 5* 1/4 = 5/4

If anyone takes 1 lap of pentagon he will travel 5/4 miles

then,If anyone takes 1*6 lap of pentagon he will travel (5/4)*6 miles

thus, in 6 laps 15/2 miles will be traveled.

Ishmail will  jog 15/2 ( 7 1/2 )miles if he completes 6 laps around the track.

_______________________________________

we know that number of sides of hexagon = 6

thus, total length of hexagon = number of sides * length of one side of hexagon = 6*( 1/4) = 3/2 miles

If anyone takes 1 lap of hexagon he will travel 3/2 miles

then,If anyone takes 1*6 lap of hexagon he will travel (3/2)*6 miles

thus, in 6 laps, 9 miles will be traveled.

Ishmail will  jog 9 miles if he completes 6 laps around the track.


Related Questions

Help meh pls!!!!!!!!!!!!!!!!!!!!!!! 11÷3/4

Answers

Answer:

Step-by-step explanation:

Multiply by the reciprocal of 3/4. That is 4/3

[tex]\frac{11}{1} *\frac{4}{3} =\frac{44}{3}[/tex]

2 doesnt go into 44, but it does go into 42. It goes into 42 fourteen times. Then there is 2/3rds leftover

[tex]\frac{44}{3} ,14\frac{2}{3}[/tex] are both equivalent

Plz help ASAP will give brainliest!!!

Answers

Answer:

20

Step-by-step explanation:

1.75 x 6 = 10.5

10.5 + 9.5 = 20

Answer:

20 is the answer im 100% sure ask me for a picture if u want my work shown

Step-by-step explanation:

Find the value of x in the given figure using properties of parallel lines. answers: A) 35° B) 15° C) 75° D) 105°

Answers

Answer:

x = 75

Step-by-step explanation:

X and 105 are supplementary angles so they add to 180

x+105 = 180

Subtract 105 from each side

x = 180-105

x= 75

What is the greater of -5

Answers

5 is the greater of -5

HELPPPPPPP PLEASEEE!!!

Answers

Answer: A. (-1,-10)

The x-coordinate of the vertex can be calculated using [tex]x=-\frac{b}{2a}[/tex].

According to the equation given a = 1, and b = 2.

[tex]x=-\frac{b}{2a} =-\frac{2}{2(1)}=-\frac{2}{2} =-1[/tex]

The y-coordinate of the vertex can be calculated by subbing in the x-value from the previous equation (x = -1) for x, and solving for y.

[tex]y=x^{2}+2x-9=(-1)^{2}+2(-1)-9=1-2-9=-10[/tex]

∴ the vertex is (-1,-10).

Calcula la hipotenusa de un triángulo rectángulo, cuyos catetos miden 24 dm y 20 dm, respectivamente.

Answers

Answer:

31.2 dm

Step-by-step explanation:

Podemos calcular a hipotenusa do triángulo empregando a regra de Pitágoras:

[tex]h^2 = a^2 + b^2[/tex]

onde h = hipotenusa

a = unha perna do triángulo

b = outra perna do triángulo

Polo tanto:

[tex]h^2 = 20^2 + 24^2\\\\h^2 = 400 + 576\\\\h^2 = 976\\\\h = \sqrt{976}\\ \\h = 31.2 dm[/tex]

A hipotenusa é de 31,2 dm

What is the gradient of the blue line?

Answers

The gradient of the blue line which shown in the graph and passes from the point (3,0) and (-1,2) is -1/2.

What is the gradient of a line?

The gradient of a line is the difference in the height of the y coordinates and the difference in the width of the coordinates. It can be calculated with the following formula.

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Here, (x1,y1) and (x2,y2) are the coordinates of two points lies on the line.

In the given graph, the blue line passes through the point (3,0) and the form the point (-1,2). Thus, the gradient of the line is,

[tex]m=\dfrac{2-0}{-1-3}\\m=\dfrac{2}{-4}\\m=-\dfrac{1}{2}[/tex]

Thus, the gradient of the blue line which shown in the graph and passes from the point (3,0) and (-1,2) is -1/2.

Learn more about the gradient of a line here;

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Please help quickly

Answers

Answer:

41.47

Step-by-step explanation:

So to find the price after the discount, multiply 48 by 0.8

38.4

To find the amount after tax, multiply by 1.08

41.472 ≈ 41.47

Answer:

$41.47

Step-by-step explanation:

Original price: $48.00

Discount: 20%

20% of $48 = 20% * $48 = 0.20 * $48 = $9.60

Price after 20% discount = $48.00 - $9.60 = $38.40

Tax: 8%

8% of $38.40 = 0.08 * $38.40 = $3.07

Price after tax: $38.40 + $3.07 = $41.47

Answer: $41.47

Use the distributive property to factor out y.
5y-3y + 12
The new expression becomes
O By+ 12
0-2y+ 12
0 2y+ 12
O 147

Answers

________________________________

5y-3y+12

=2y+12

So the new expression becomes 2y+12

hope it helps

Good luck on your assignment

________________________________

Answer:

2y+12

Step-by-step explanation:

A deck of cards has 3 pink, 6 purple, and 4 green cards. You pick 2 cards from the deck. Cards are not returned to the deck after they are picked

P(the first card is green and the second card is -purple)

With explanation

Answers

Answer:

2/13

Step-by-step explanation:

So firstly, know that there are 13 cards in the deck (3 + 6 + 4).

Therefore, the probability of drawing a green is 4/13.

After you draw the green card, there will be 12 cards left. Therefore, the probability of drawing a purple card next is 6/12.

To find compound probability, multiply the probabilities of the two separate events happening together:

4/13 * 6/12

= 2/13

Hope this helps! Please contact me if you have any questions :)

If you flip a coin and pick a number tile from a bag of beans containing 6 different numbered beans at the same time, how many possible outcomes are there? A. 4 B. 8 C. 12 D. 16

Answers

Answer: C  12

Step-by-step explanation:

ALL possible outcomes

1 tails

2 tails

3 tails

4 tails

5 tails

6 tails

1 Heads

2 Heads

3 Heads

4 Heads

5 Heads

6 Heads

so its 12 total outcomes

Answer:

12

Step-by-step explanation:

 

go ask edge

 

The distribution of average wait times in drive-through restaurant lines in one town was approximately normal with mean \mu = 185μ=185mu, equals, 185 seconds and standard deviation \sigma = 11σ=11sigma, equals, 11 seconds. A journalist wrote an article about the restaurants whose average drive-through wait times were in the top 25\%25%25, percent for that town. What is the minimum average wait time for restaurants that the journalist included in the article?

Answers

Using the normal distribution, it is found that the minimum average wait time is of 192 seconds.

------------------

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

Mean of 185 seconds, thus [tex]\mu = 185[/tex].Standard deviation of 11 seconds, thus [tex]\sigma = 11[/tex].The top 25% is at least the 100 - 25 = 75th percentile, which is X when Z has a p-value of 0.75, so X when Z = 0.675.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.675 = \frac{X - 185}{11}[/tex]

[tex]X - 185 = 11(0.675)[/tex]

[tex]X = 192[/tex]

The minimum wait time is of 192 seconds.

A similar problem is given at https://brainly.com/question/7001627

Jennifer settles on the purpose of her website. What should be her next? A. design the website. B. Set an objective or goal C. Identify target users. E. Plan the website architecture

Answers

Answer:

C. Identify target users

explanation:

After she settles on the purpose of her website she basically had her plan/ goal already visioned. the next step is to find an audience that would be entertained and intrigued by her content. from this then she can start designing the project. i believe this question is in the wrong subject but

hope i helped!

Answer:

design the website

Step-by-step explanation:

An empty swimming pool is going to be filled with water. The swimming pool is a cuboid, that is 25 metres long, 10 metres wide and 2 metres deep. It is being filled at a rate of 800 litres per minute Given 1m3 = 1000 Litres, how long it will take to fill the swimming pool? Give your answer in hours and minutes.

Answers

Answer: 10 hours and 25 minutes.

Step-by-step explanation:

Multiply 25, 10, and 2 to find volume. Volume is 500 metres.

1 meter = 1000 litres. 500 * 1000 = 500,000 litres in volume.

500,000/ 800= 625 minutes.

625 minutes = 10 hours and 25 minutes

It take 10 hours and 25 minutes to fill the swimming pool.

The volume of a cuboid is given by the formula:

Volume = Length × Width × Depth

              = 25 m × 10 m × 2 m

              = 500 m³

Now, convert the rate of filling from liters per minute to cubic meters per minute:

1 m³ = 1000 liters

So, 800 liters per minute = 800/1000

                                           = 0.8 m³ per minute

Next, the time it will take to fill the pool:

Time (in minutes) = Volume / Rate of filling

                             = 500 m³ / 0.8 m³ per minute

                              = 625 minutes

Now, 1 hour = 60 minutes

625 minutes = 625 / 60

                     = 10 hours and 25 minutes

So, it take 10 hours and 25 minutes to fill the swimming pool.

Learn more about Volume here:

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Which property of addition is shown below?
If x = 1 + 2i and y = -1 -2i, then x + y = 0.
commutative property
identity property
associative property
inverse property

Answers

Answer:

Inverse Property

Step-by-step explanation:

This property is inverse property with respect to addition.

E.g.

If x=y and z= -y

Then,

x+z = 0

its basically d on edg :)

A bullet exits the barrel of a gun at 625 m/s. How long does it take to
hit a target that is 2.0 km away?

Answers

Answer: 3.2 seconds

Step-by-step explanation:

Time = Distance / speed

= 2000 / 625

= 3.2 seconds

Prove that for any natural n the number 3^(n+4)−3n is divisible by 16.

Answers

Answer:

Step-by-step explanation:

Prove that for any natural number 3^(n+4)-3n is divisible by 16.

(I'm going to assume that you mean 3^(n+4)-3^n.)

1. We can break up 3^(n+4)-3n into 3^n * 3^4-3^n (by the rule a^b*a^c = a^b+c).

2. Solve to get 3^n * 81 - 3^n

3. Factor out the 3^n, and you'll get 3^n(81-1), and simplify: 3^n(80)

        You may notice that 80 is divisible by 16.

4. Rewrite what we got from the last step as: 3^n*5(16).

Hope this helped you!

The proof that any natural number n in (3ⁿ⁺⁴ - 3ⁿ) is divisible by 16 is; it was simplified to 3ⁿ × 5

What is the proof that the number is divisible?

We want to show that show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.

This is; (3ⁿ⁺⁴ - 3ⁿ)/16

From laws of indices, we know that;

aᵐ⁺ⁿ = aᵐ × aⁿ.

Thus; 3ⁿ⁺⁴ can be expressed as 3ⁿ × 3⁴.

Thus; (3ⁿ⁺⁴ - 3ⁿ)/16 is;

((3ⁿ × 3⁴) - 3ⁿ) = 3ⁿ((81 - 1)/16)

3ⁿ(80/16) = 3ⁿ × 5

The expression has been fully simplified to show that any natural number n in (3ⁿ⁺⁴ - 3ⁿ) is divisible by 16.

Read more about proof of numbers at; https://brainly.com/question/10657323

Place the following values in order from least to greatest: 3/4, 0.7, 4/5, 65.5%, 0.72

Answers

Answer:

4/5, 3/4, 0.72, 0.70, %65.5

Step-by-step explanation:

65.5/100=0.655

which is not an equation of the line going through (3, -6) and (1, 2)


a. y-2=-4(x-1)

b. y-1=_4(x-2)

c. y=-4x+6

d. y+6=-4(x-3)

Answers

The equation is not going to make sence

Answer:

The answer is B.

Step-by-step explanation:

Just took the quiz on A P E X .

can someone please help me understand ?

Answers

Answer:

A: 12cm

B: 90 degrees

C: 60 degrees

Step-by-step explanation:

A. Measure of GH is 1/4 of perimeter of 48 cm

48/4=12

a is 12cm

B.  in a rhombus, diagonals are perpendicular,

FH and EG are perpendicular

So, angles EJF, GJF, GJH, and EJH are all right angles and equal 90 degrees

thus measure of angle EJF is 90 degrees

C.

First lets find the measure of EJF

Since all the inner angles of the triangle add up to 180 degrees,

we can make an equation:

60+90+x=180

150+x=180

x=30

angles EFJ and EHJ are congruent, since opposite angles in a rhombus are congruent,

Also, angles EHJ and GHJ are congruent since the diagonals in a rhomus are angle bisectors

Thus EHJ=30 and GHJ=30

30+30=60

EHG = 60

so answer is 60 degrees

What is the definition of “slope of a ramp using trigonometry ?”

Answers

Answer:

Step-by-step explanation:

it is the tangent of the angle slope makes with the horizontal.

Please help me with the question

Answers

Answer:

C

Step-by-step explanation:

5a+ 18 < -27

Subtract 18 from each side

5a+18-18 < -27-18

5a < -45

Divide each side by 5

5a/5 < -45/5

a < -9

Open circle at 9, line doing to the left

Q= 3t^2 - 5th Make h the subject of the formula ​

Answers

Answer:

3t² - Q / 5t

Step-by-step explanation:

Q = 3t² - 5th        collect like terms (separate 5th from the rest of the equation)

5th = 3t² - Q                                                                      (divide both sides by 5t)

h = 3t² - Q / 5t

If this helped please mark me as brainliest

What is the product?

(5 r + 2)(3 r minus 4)

15 r squared + 8
15 r squared minus 8
15 r squared + 14 r minus 8
15 r squared minus 14 r minus 8

Answers

________________________________

Hey!!

Solution,

(5r+2)(3r-4)

= 5r(3r-4)+2(3r-4)

= 15r^2-20r+6r-8

= 15r^2-14r-8

So the right answer is 15 r squared minus 14 r minus 8

Hope it helps

Good luck on your assignment

_________________________________

Answer:

15 r squared minus 14 r minus 8

Step-by-step explanation:

from my understanding that what I think it is :) have an awesome day!!!!!!

The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function? Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (0, –6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.

Answers

uquzas prguntale ea otroi

Solve the following equation using algebraic operations (4n-18=22)

Answers

Answer:

n=10

Step-by-step explanation:

22+18=40 40/4=10

Given

4n - 18 = 22

Add 18 to both sides:

(4n - 18) + 18 = 22 +18

4n = 40

Divide 4n to both sides

[tex]\frac{4n}{4}[/tex]=[tex]\frac{40}{4}[/tex]

n=10

Now if you have to you can substitute n into the original equation and see if they are equal to one another.

4n - 18 = 22

4(10) - 18 = 22

40 - 18 = 22

22 = 22

With this being done n = 10

Is the function even, odd or neither?

f(x) = |x| + 1



Your answer:


Even

Odd

Neither

Answers

Answer: Even

Step-by-step explanation:

This graph has been translated up by one unit but is still symmetrical about the y axis.

A simple proof would be to check if  f(x) = f(-x). If it does, then it is even.

To check for an odd function, check if f(-x) = -f(x). If it does, then it is even.

To check for neither, f(-x) will not equal -f(x)

Answer: Even

Explanation

Can someone please help me with this?

Answers

Answer:

3/4

Step-by-step explanation:

There are 12 marbles in the bag

9 marbles are not blue

P(not blue) = marbles that are not blue / total marbles

                   = 9/12 = 3/4

Part of the graph of the function f(x) = (x - 1)(x + 7) is
shown below.
Which statements about the function are true? Select
three options.
The vertex of the function is at (-4,-15).
6
The vertex of the function is at (-3,-16).
4
The graph is increasing on the interval x > -3.
2
The graph is positive only on the intervals where x <-7
and where
X > 1.
+
-8
-6
-4
-2
2
х
2.
The graph is negative on the interval x < -4.
4
-6
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

Step-by-step explanation:

The given function is

[tex]f(x)=(x-1)(x+7)[/tex]

Zeroes of the function are

[tex](x-1)(x+7)=0[/tex]

[tex]x=-7,1[/tex]

It means, f(x) intersect x-axis at x=-7 and x=1.

Mid value of -7 and 1 is the x-coordinate of the vertex.

[tex]\dfrac{-7+1}{2}=-3[/tex]

At x=-3,

[tex]f(-3)=(-3-1)(-3+7)=(-4)(4)=-16[/tex]

So, the vertex of the function is at (-3,-16).

The given function can be written as

[tex]f(x)=x^2+7x-x-7[/tex]

[tex]f(x)=x^2+6x-7[/tex]

Here leading coefficient is negative, it means it is an upward parabola.

So, we conclude that

1. The graph is increasing on the interval x > -3.

2. The graph is decreasing on the interval x < -3.

3. The graph is positive only on the intervals where x <-7 and where x > 1.

4. The graph is negative only on the intervals where -7 < x < 1.

Therefore, the correct options are 2, 3 and 4.

Answer:

THE CORRECT ANSWERS ARE 2,3,4!

Step-by-step explanation:

TOOK THE TEST ON EDGE

Find the distance between two points (6,−4) and (−4,−4).

Answers

Answer:

Step-by-step explanation:

(6, -4) ; (-4,-4)

[tex]Distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1}^{2})}\\\\ =\sqrt{(-4-6)^{2}+(-4-[-4])^{2}} \\\\=\sqrt{(-10)^{2}+(-4+4)^{2}} \\\\=\sqrt{100+0}\\\\ =\sqrt{100}\\\\[/tex]

= 10 units

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