Each of the sides of a pentagon is 12 cm long. Two ants are walking from point A to point D along the sides of the pentagon. One ant walks from point A to point B to point C to point D at an average speed of 3 centimeters per second. The other ant walks from point A to point E to point D, arriving at point D at the same time as the first ant. What is the average speed of the second ant, in cm per second?

Answers

Answer 1

Answer:

The average speed of the second ant is 2 cm/s

Step-by-step explanation:

The details of the ants moving on the sides of the pentagon are;

The length of the sides of the pentagon = 12 cm

The path of the first ant = A to B, B to C, then C to D

The average speed of the first ant = 3 cm/s

The path of the second ant = A to E, and E to D

The time of arrival of the second ant at the point D = The time of arrival of the first ant at the point D

Given that both ants departed at the same time, from point A, we have;

The time it takes the first ant to arrive at the point D = The time it took the second ant to arrive at the point D

The distance from A to B = 12 cm

The distance from B to C = 12 cm

The distance from C to D = 12 cm

∴ The distance traveled by the first ant from A to D = 12 cm + 12 cm 12 cm = 36 cm

Average speed = (Total distance)/(Total Time)

Total time =  (Total distance)/(Average speed)

Let 't' represent the time it takes the first ant to move from point A to point D, we have;

t = 36 cm/(3 cm/s) = 12 seconds

Therefore, the time it takes the first ant to move from point A to point D, t = 12 seconds = The time it takes the second ant to move from point A to point D through point E

The total distance traveled by the second ant from A to point E, then from point E to point D, [tex]T_{d2}[/tex] = 12 cm + 12 cm = 24 cm

The average speed of the second ant, v₂ = [tex]T_{d2}[/tex]/t

∴ v₂ = 24 cm/(12 seconds) = 2 cm/s

The average speed of the second ant, v₂ = 2 cm/s.


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Pls, answer!!!!. Please answer the Geometry worksheet. 50 points, and brainliest

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Answer:

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Answer: Looking for the same thing answer!!

Step-by-step explanation:

In a cookie jar containing 6 chocolate chip cookies, 8 wafer cookies and 10 double chocolate cookies, what is the

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Answer:

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Solve the equation and check.
37x + 16 = 6(6x + 6)
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution is
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B. The solution is all real numbers.
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Answers

Answer:

x = 20.

Step-by-step explanation:

37x + 16 = 6(6x + 6)

Distribute.

37x + 16 = 36x + 36

Subtract 36x from both sides.

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Subtract 16 from both sides.

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The solution is 20.

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740 + 16 = 6(120 + 6)

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Answer:

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Answers

Answer:

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Step-by-step explanation:

Hope this helps

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Answers

9514 1404 393

Answer:

  5 in

Step-by-step explanation:

The figure's angles are presumed to be right angles everywhere, so the left-side vertical dimension is equal to the right-side vertical dimension.

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%
Jaden goes to her dance class every
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Answer:

tuesday is answere .........

A pizza place offers 10 topping choices for their pizzas. How many different two-topping pizzas can you order?
A. 2
B. 45
C. 90
D. 100​

Answers

You can order 100 different two- toppings pizzas

Answer:

B. 45

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The answer is 47. Just keep adding 4.

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Answer:

Step-by-step explanation:

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Answers

Answer:

x = 21°

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Answer:

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Answers

Answer:

Option C, [tex]y = \frac{1}{10} x+1[/tex]

Step-by-step explanation:

We can find the correct answer by plugging in the x and y values of a point on the graph into each option, then finding the one that gives a true statement as a result.

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Answers

Answer:

a(n) = -8n -9

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Answers

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Answers

Answer:

Solution given:

<R=<J=49°[ inscribed angle standing on a same Aaka equal in a circle]

<K=90°[inscribed is triangle on a semicircle is 90°]

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:.arcJK=41°

is your answer.

Answer:

Question:

Find the measure of the arc or angle indicated.

Solution:

In ∆LRK & ∆JKL,

∠KRL= ∠LJK = 49°

( inscribed angle standing on a same Aaka equal in a circle)

Now , In ∆JKL,

∠JKL = 90°

(angle suspended to the center of the circle =90°)

Now,

construction: A line segment OK joining the points O(center)& K

Since, OK&OJ are the radii of the same circle,

Hence, OK = OJ

.°. JKO = OJK = 49°

Now,

In ∆ JOK,

∠JKO +∠OJK+ ∠JOK = 180°

Angle sum property of a∆

∠JOK = 180°- (∠JKO +∠OJK)

∠JOK = 180°-(49°+49°)

∠JOK = 180°- 98°

∠JOK = 82°

Hence, 82° is your answer

[tex] \\ \\ [/tex]

Hope it helps

-------☆゚.・。゚ᵴɒƙυᴚᴀ_ƨȶäᴎ❀

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Answers

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Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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See attachment

Required

The image of Z

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Triangular prism
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Answers

Answer:

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Step-by-step explanation:

I took the test and got it right :)

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It is given that the triangle is rotated about the y-axis as shown in the picture.

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The triangle can be defined as a three-sided polygon in geometry and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

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brainly.com/question/25813512

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Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

the simple interest is 36.

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