A monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc 9/10 the length of the previous swing.

What is the total distance the monkey has traveled when she completes her 25th swing? Round your final answer to the nearest meter.

Answers

Answer 1

The total distance the monkey has traveled when she completes her 25th swing is 92.82 m if the monkey is swinging from a tree.

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have:

A monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc 9/10 the length of the previous swing.

In first swing = 10 m

In second swing = (9/10)10 m = 9 m

In the second swing = (9/10)9 =81/10

10, 9, 81/10,..

This is the geometric sequence with the first term being 10 and the common ratio being 9/10.

a = 10

r = 9/10

The sum of geometric sequence up to 25th terms:

S = a(1 - rⁿ)/(1 - r)

S = 10(1 - (9/10)²⁵)/(1 - 9/10)

S = 92.82 m

Thus, the total distance the monkey has traveled when she completes her 25th swing is 92.82 m if the monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc 9/10 the length of the previous swing.

Learn more about the sequence here:

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The answers plzzz I need help

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Haha I seem to fish with bread

Please help me with this question. Please, this is due today. Helppppp meeee

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Answer:

6by6by8

Step-by-step explanation:

Answer:

6m

6m

8m

Step-by-step explanation:

calm down ...

don't let a strange problem description overwhelm you right away.

always try to work with the things you know first. and only when you run into something you really don't know, start thinking.

so, perimeter.

your know, what a perimeter is ? it is the circumference. all the side lengths added together. the answer to "how much distance would you have to go, to walk all the way around it one time".

so, what is the circumference of the square based on what we know ?

well, it has 4 equal sides, right ? otherwise it would not be a square.

so, the perimeter is 4×(x+2) = 4x + 8

that is perfectly fine.

now to the next part we know.

the perimeter of the triangle is the sum of its 3 sides (otherwise it would not be a triangle).

an isoceles triangle is a special triangle that has 2 equal sides.

so, we actually know all 3 sides (at least relatively) :

x+3

x+5

and ... another

x+3 (because of the isoceles property)

so, the perimeter is

x + 3 + x + 3 + x + 5 = 3x + 11

alright.

and now we also know that both perimeters are of equal length.

what did that mean ?

that both expressions deliver the same result.

therefore,

4x + 8 = 3x + 11

aha !

x = 3

bingo !

therefore, the side lengths of the triangle are

x+3 = 3+3 = 6 (both sides in the top)

x+5 = 3+5 = 8

and that's all there is to it.

it is really not necessary to panic don't you think ?

Are the ratios 5:4 and 8:2 equivalent? yes or no

Answers

Answer:

no

Step-by-step explanation:

no its no

Answer:

I believe no

Step-by-step explanation:

I believe it is no but I could be wrong...if I am wrong I am very sorry and hope you can forgive me

Please Help Me! I will give brainly!!


The distance from your front door to the mailbox is 18 4/5 meters. The distance from your front door to your basketball hoop is 13 7/10 meters. How much farther from your front door is the mailbox than the basketball hoop?

Answers

Answer:

5 1/10 meters

Step-by-step explanation:

18 4/5 can be changed to 18 8/10 so

18 8/10 - 13 7/10 = 5 1/10 meters

5 1/10 meters ahhhhhhhhhhhh

Absolute Value – how far or the
[ Select ] Answer | Counter | Number | or distance
a number is from zero.

Answers

Answer:

The last answer or Distance a number is from zero

Step-by-step explanation:

It's this answer because absolute value is just how far a number is from zero for example | -1 | is equal to 1 because -1 is 1 away from zero. Hope this helps :)

Answer:

The last answer or Distance a number is from zero i think i dont know

Step-by-step explanation:

Find the radius, diameter, circumference and the approximate area for the circle in the image attached. To find the approximate area, please use 3.14 for π. SHOW WORK!

Answers

Radius: 3cm —> the radius is the line connecting the middle of the circle to the end of the circle

Diameter: 3cm * 2 = 6cm —> the diameter is a straight line between one end of the circle to the other end through the midpoint. All you have to do is multiply the radius by 2!

Circumference: π • d —> 3.14 • 6 = 18.84cm —> the circumference of a circle is the measurement of the outline

Area: πr^2 = 3.14 • 3^2 = 3.14 • 9 = 28.26cm^2 —> the area is the entire circle!
Heres the answer
Hope it helps !

I know how to find the distance of two coordinates but not three could someone help me on this??

Answers

Find distance between R and S and then between S and T and add them together
Answer:

12 units

Step-by-step explanation:

Step 1. Find the distance between R(-1, 4) and S(5, 4)

Answer: 6

Reason: from -1 to 5, it’s 6 units.

Step 2. Find the distance between S(5, 4) and T(5, -2)

Answer: 6

Reason: from -2 to 4, it’s 6 units

Step 3. Add the distance between R to S and S to T.

Answer: 12 units

Reason: R to S = 6 units. S to T = 6 units.

6 + 6 = 12 units

which numbers round to 40 when rounding to 10s?

Answers

Answer:

35, 36, 37, 38, 39, 41, 42, 43 and 44

Step-by-step explanation:

Everything above 5 rounds upwards, and all numvers below 5 rounds down. So 34 and down will be rounded to 30, and that's what happens with 44, 43, 42, and 41.

5. Rectangle ABCD is graphed in the coordinate plane. The following are vertices of the rectangle: A(-1,-6), B(-1,-7), C(1,7), and D(1,-6). Given these coordinates, what is the length of side AB in this triangle? On the lines below, provide the length of the side as well as your reasoning for how you arrived at your answer.​

Answers

Answer:

The legnth of side AB would be 3 units

Step-by-step explanation:

First, you would determine that both point A and point B would have the same y-coordinate of 1.   Then you would determine the difference between the x values of points A and B.  Since 5 (the x-value for B) minus 2 (the x-value for A) is 3, the legnth of side AB would be 3 units.

A square of 81cm² is cut to make two rectangles, A and B
The ratio of area A to are B is 2:3
Work out the dimensions of A and B

Answers

Answer:

Length of A: 9

Width of A: 6

Length of B: 9

Width of B: 3

Step-by-step explanation:

If you look at the diagram, you can see that the length of rectangles A and B are the same, and are also the same as they were in the original square. We can find the length of each side by finding the square root of the area of the square to give us the length and width of the square which is 9. Now that we know that the length of both rectangles A and B, we can find the width of both rectangles by taking 9, and splitting it into 3 portions of 3. Since the ratio of area is 2:1, we could also do this with the area, but since we know the lengths are the same, we know the widths are proportional to the area. Using the ratio of 2:1, and the 3 portions of 3, you can combine 2 of these portions to get 6, and since the ratio 6:3 is proportional to 2:1, these measurements can be used as the width of each rectangle. Thus, the answer given above.

Answer:

Length of A: 9

Width of A: 6

Length of B: 9

Width of B: 3

Step-by-step explanation:

Simplify the expression 2x(4 + x - 9 + 3x)
A. 8x - 10
B. -2x²
C. -10x²
D. 8x² - 10
E. 8x² - 10x

Answers

Answer:

E. 8x² - 10x

Step-by-step explanation:

4+x-9+3x

=x+3x+4-9

=4x+4-9

=4x-5

=2x(4x-5)

=8x² - 10x

E. 8X^2-10x ! hope this helps

Please help me fast! I will give brainly

This is the question,

YOU BE THE TEACHER Your friend says that because of the order of operations, the expressions are equivalent. Is your friend correct?

10-(5x2)+7 or 10-5x2+7

Yes or No

And Explain the answer

Answers

Answer:

He's correct.

Step-by-step explanation:

As long as there is no change in sign of the variables.

10-(5x2)+7 or 10-5x2+7

3. Solve for m:
-5m + 3 - 2m = -7m + 4 + m
1
m
12
m =
la
m = -1
m = 1

Answers

3-4=-7m+m+2m+5m
-1=m
Answer:
m=-1
-5m + 3 - 2m = -7m + 4 + m
-5m -2m +7m -m = -3 +4
-m = 1
m = 1

explain how to find the difference between 9^10/9^11 and 9^11/9^10

Answers

Answer:

jhv

Step-by-step explanation:

kjbb

If f(x) = -3x - 2
find f(-2) + 9

Answers

Answer:

f(-2) + 9 is 19

Step-by-step explanation:

[tex]f(x) = - 3x - 2[/tex]

when x is -9:

[tex]f( - 2) = - 3( - 2) - 2 \\ f( - 2) = 10[/tex]

sum up with 9, f(-2)+9:

[tex]f( - 2) + 9 = 10 + 9 \\ = 19[/tex]

It shluld be 19 i think

So sorry I really need help

Answers

Answer:

(2 x 2 x 2) x (0.03125)

Step-by-step explanation:

The answer to it is 1 over 4

help pls :( I only need one question to pass

Answers

Answer:

The 3rd semi-circle equals 31.

Step-by-step explanation:

Since the Pythagorean Theorem states that "The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c)," we can find the answer of the 3rd semi-circle by finding the sum of each of the 2 smaller semi-circles and adding them together.

the answer to this question is 31 the area of the A3 is 31

What is the coefficient of the j term in the polynomial negative 8j^ 2 + 7j - 6?

Answers

Answer:

7 is the coefficient

A coefficient is a number before a variable.

For example, in 7j, 7 is the coefficient:)

Step-by-step explanation:

7 is the coefficient of the j term

I really need help with this question please!

Answers

Answer:

y = -2x+7

Step-by-step explanation:

The slope intercept form of an equation is

y = mx+b  where m is the slope and b is the y intercept

y = -2x +b

Substitute the point into the equation and solve for b

5 = -2(1)+b

5 = -2+b

Add 2 to each side

5+2 = -2+b+2

7=b

y = -2x+7

The answer is y=2x+3 d cause it helps

please hlep me its ixl

Answers

Answer:

D

Step-by-step explanation:

D is the answer I did the math.

Hope this helps!

Answer:

d

Step-by-step explanation:

PLEaseeee HELP MEEE I beg pleaseee I think I got this wrong please correct me.

Answers

Answer:

its 7.2

find the distance using the formula

square root ((y2-y1)^2+(x2-x1)^2)

hope that answers your question.

comment for more explanation

The answer is 7.2 that’s the right answer

Express each of the following decimals as a percentage
1.35
solution for class 7

Answers

Answer:

135%

Step-by-step explanation:

To represent a decimal to percentage, multiply by 100

1.35 x 100 = 135

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

the answer would be 135%

Find the area of each figure. Round to the nearest tenth if necessary.

Answers

Shape 1: TRIANGLE

Formula: A = 1/2 x bh

1/2 x (10)(5) = 25

AREA: 25 square yards

Shape 2: RECTANGLE

Formula: A = lw

(12)(10) = 120

AREA: 120 square yards

Sum (ADD)

25 yd^2 + 120 yd^2 = 145 yd^2

The area of the composite figure is 145 yd^2

Shape one / triangle:

the formula for triangles is a =1/2 x bh

5x10 = 50

50 x 1/2= 25

So the area for shape 1 is 25.

Shape two / rectangle :

the formula for quadrilaterals is a = bh

12 x 10 = 120

so the area of shape 2 is 120

Rewrite using a negative exponent.

1/3^2

Answers

Answer:

1/9 or 3^-2

Step-by-step explanation:

Ignore the value of 1/3 for now and just focus on the 3^2.

Find 3^2:

3*3 = 9

Now 9 is the denominator, therefore our answer would be 1/9 once you reassemble the fraction.

Because 1/9 is our new fraction, we can use a negative exponent to create the same result. This is because the negative exponent rule tells us that a number with a negative exponent should be put to the denominator. Therefore we can then use 3^-2.

Answer:

3^-2

Step-by-step explanation:

The table below shows the number of cruise ships in a harbor on various days.
(table pic attached)

a. Write an expression for the total number of cruise ships in the harbor on Monday and Tuesday.

b. Write an expression for the total number of cruise ships in the harbor on all 5 days.

Answers

part a is 2x+5 because you add monday’s equation and tuesday’s
part b is 7x+2 because you add all equations together

Gina wants to solve the following proportion.


a / 5/8 = 3/5 / 2/3


A. explain how to solve the problem.

B. solve the proportion. show your work.

Answers

Step-by-step explanation:

please don't understand the question. will be happy if you take a shot of it.

Thanks

a/5/8 = 3/5 / 2/3

We can take the reciprocal of the denominator, since the denominator itself is a fraction

The above equation can be rephrased as,
(a) / (5/8) = (3/5) / (2/3)

Taking reciprocal

8a / 5 = 3*3 / 5*2

8a / 5 = 9 / 5*2

a = 9 * 5 / 5*2*8

5’s get canceled, 2 and 8 gets multiplied in the denominator.

We will then be left with,

a = 9 / 16


I have also verified it and got the right answer.

Can anyone please help?

Answers

Answer:

see below

Step-by-step explanation:

<4 and <7 are same side interior angles since they are on the same side of the transversal p and between parallel lines m and n

<4 and <12 are corresponding angles since they are on the same side of the parallel lines p and t and on the same side of the transversal m

<14 and <7 are alternate interior angles since they are between the parallel lines p and t and are on opposite sides of the transversal n

<4 and <1 are vertical angles since they are formed by the same lines and share a vertex and are opposite each other

Answer:

<4 and <7 are same side interior angles since they are on the same side of the transversal p and between parallel lines m and n

<4 and <12 are corresponding angles since they are on the same side of the parallel lines p and t and on the same side of the transversal m

<14 and <7 are alternate interior angles since they are between the parallel lines p and t and are on opposite sides of the transversal n

<4 and <1 are vertical angles since they are formed by the same lines and share a vertex and are opposite each other

Step-by-step explanation:

What is the initial value of the function represented by this graph?

1
5
6
7

Answers

Answer:

the inital value is one.

Step-by-step explanation:

So basically, the initial value is just the value of y when x is zero. In this case, its 1 this point on the graph where x=0 is also known as the y intercept. Hope that helped.

Number 1 because the arrow from 6.7 is pointing to the other side with 0.1 removing the 0 would be 1

Whats the answer to the question...

Answers

Answer:

first graph equation is (0,5)

second graph equation is(-6,0)

The Answer is (0,5)(-6,0)

A map is drawn to a scale of 1 : 240 000.

(i) If a seawater lake has an area of 3.8 cm² on the map, find its actual area in square kilometres.
(ii) If the actual area of a plot of land is 2 908 800 m², calculate its area on the map. ​

Answers

Step-by-step explanation:

Above are the explanations

A map is drawn on a scale of 1: 240 000.

(i) Actual area [tex]$=21.888 \mathrm{~km}^{2}$[/tex]

(ii) Area on the map = [tex]$0.505 \mathrm{~cm}^{2}$[/tex].

How to estimate the area on the map?

(i) 1 cm: 240000 cm = 1 cm: 2.4km

Area scale [tex]$=1^{2} \mathrm{~cm}^{2}: 2.4^{2} \mathrm{~km}^{2}$[/tex]

[tex]$=1 \mathrm{cm}^{2}: 5.76 \mathrm{~km}^{2}$[/tex]

[tex]$1 \mathrm{~cm}^{2}: 5.76 \mathrm{~km}^{2}$[/tex]

[tex]$3.8 \mathrm{~cm}^{2}: 21.888 \mathrm{~km}^{2}$[/tex]

Actual area [tex]$=21.888 \mathrm{~km}^{2}$[/tex]

[tex]$=21.9 \mathrm{~km}^{2}[/tex]

(ii) 1 cm: 240000 cm = 1 cm: 2400 m

Area scale [tex]$=1^{2} \mathrm{~cm}^{2}: 2400^{2} \mathrm{~m}^{2}$[/tex]

[tex]$=1 \mathrm{~cm}^{2}: 5760000 \mathrm{~m}^{2}$[/tex]

[tex]$1cm}^{2}: 5760000 \mathrm{~m}^{2}$[/tex]

[tex]$0.505 \mathrm{~cm}^{2} ; 2108800 \mathrm{~m}^{2}$[/tex]

The area on the map = [tex]$0.505 \mathrm{~cm}^{2}$[/tex].

To learn more about the area on the map

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