A dog on a 5-foot leash runs around in one full circle while its owner stands still. Which is closest to the distance the dog went?

Answers

Answer 1

The distance closest to the distance the dog went is 31.42 ft

Since the dog moves around in one full circle, the distance the dog moves is the circumference of a circle.

Circumference of a circle

The circumference of a circle C = 2πr where r = radius of circle.

Now r = length of leash = 5 foot

So, substituting r into the equation, we have

C = 2πr

C = 2π × 5 ft

C = 10π ft

C = 10 × 3.142 ft

C = 31.42 ft

So, the distance closest to the distance the dog went is 31.42 ft

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Related Questions

find the mean of 12 ,10,12,14,8,15,8,9,6,5​

Answers

Answer:9.9

Step-by-step explanation:

Add up the scores and dividing the total by the number of scores.

Answer:

9.9

Step-by-step explanation:

12+10+12+14+8+15+8+9+6+5 =99

99÷10=9.9

Please help me figure these out!

Answers

Step-by-step explanation:

just u have to put the values of sin and cos and you will get the answer

hope u get help

PLEASE HELP WILL MARK BRAINLIEST FOR BEST ANSWER If you reflect (-2, -8) across both axes, which quadrant will it be in? Justify your reasoning. Please no links or files

Answers

Answer:

  I

Step-by-step explanation:

Reflecting the point across both axes changes the signs of both coordinates. The reflected point will be (2, 8). Both coordinates are positive for points in Quadrant I.

If im going 30 km per hour and i need to go 500 metres how long would it take

Answers

Answer:

1 minute

Step-by-step explanation:

1km = 1000m

30km = 30000m

30km ÷ 60 = 500m

it takes one hour to go 30km or a ratio of 30km to 1hour. 1hour is also 60minutes. 30:60

divide both sides by 60 gets 500m and the amount of time to go that distance 1 minute

Answer:

1/60 hr or 1 minute

Step-by-step explanation:

30 km per hour

30 km : 1 hr

convert 500 metres to km

1 km = 1000 metres

500 ÷ 1000 = 0.5 km

using ratios

30 km : 1 hr

0.5 km : x hr

to get from 30 to 0.5 multiply by 1/60 ( we got this from doing 0.5 ÷ 30) , so do the same to the other side

1 hr × 1/60 = 1/60 hr

you can convert to minutes = 1/60 × 60 = 1 minute

Use the bar diagram to write an equation. Then solve for x.

Answers

Post the question and diagram

Answer:

we need to know the question

Step-by-step explanation:

Image attached! Please help, and explain because I don’t understand!

Answers

Answer:

64 (2) ^ n-1  

I hope that this helps!

The magic number is -15. Combine each statement with the magic number and determine if it will result in zero. _______ a. An elevator rises 15 floors. _______ b. $15 is withdrawn out of your account. _______ c. The temperature rises 15 degrees.

Answers

Answer:

A. is 0

B. is -30

C. is 0

Step-by-step explanation:

Hope this helps!

The correct answers are:

0-300

Calculations

We are asked to combine the magic number -15 with the given statements.

Hence, if we combine the magic number with the given statements, we would have:

a. -15 + 15 = 0

b. -15 + (-15)= -30.

c. -15 + 15 = 0.

Hence, the answers are 0, -30 and 0 respectively.

Read more about magic numbers here:

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help me with geometry please

Answers

Answer:

y= 95.

180°-120°=60° (adding 120° with x should give you 180°)

x=60°

25°+60°=85°

180°-85°=95

Answer:

y=95

Step-by-step explanation:

we know that the triangle angles sum is 180°

to find Y you should find x

we are going to find x, we know that a straight angle is 180, to find the x you should:

[tex]120+x=180[/tex]

move 120 to the other side with a negative sign:

[tex]x=180-120\\x=60[/tex]

angle [tex]x=60[/tex]

now we know enough angles to find y:

[tex]25+60+y=180[/tex]

25 is given in the picure and 60 is the x angle while 180 is the sum of a triangle angles, we have to flip the equaton to find y:

[tex]25+60+y=180\\85+y=180\\y=180-85\\y=95[/tex]

sonny has $76to spend. The purchase he wants to make requires $93. If he borrow the extra money that he needs, how much dos he need to borrow

Answers

Answer:

$17

Step-by-step explanation:

$93 minus $76 equals $17 which is how much sonny needs to borrow.

Answer: he will need to borrow $17

to make his purchase that cost $93

Step-by-step explanation: $93 - $76 = $17

write an exponential function in the form y=ab^x that goes through the points (0,14) and (6,896)

Answers

Answer:

y = 14 [tex](2)^{x}[/tex]

Step-by-step explanation:

Find a and b by substituting the points into the equation

using (0, 14 ) , then

14 = a[tex]b^{0}[/tex] [ [tex]b^{0}[/tex] = 1 ] , then

14 = a × 1 ⇒ a = 14

y = 14 [tex]b^{x}[/tex]

using (6, 896 )

896 = 14 [tex]b^{6}[/tex] ( divide both sides by 14 )

64 = [tex]b^{6}[/tex] ( take the sixth root of both sides )

b = [tex]\sqrt[6]{64}[/tex] = 2

Then

y = 14 [tex](2)^{x}[/tex] ← is the exponential function

Casey walked diagonally, from one corner to the opposite corner, across a square garden whose sides are 25 feet. How far did he walk?

Answers

Answer:

25m

Step-by-step explanation:

A square is a parallelogram having all sides equal. Hence, if Casey walked diagonally, she should have gone 25m as the rules of square states.

please mark brainliest

What is the probability that amber could pull a red 9 out of a deck of cards, replace it, then pull out a black 5?

Answers

Answer:

Try looking it up

Step-by-step explanation:

sorry i tried! Dont get mmad i tried the best i could to work this out..

5x+15+10x+7

5(x+3)+2x+7

Answers

Step-by-step explanation:

1. Combine Like Terms (Add):

[tex]5x+15+10x+7[/tex]

[tex]15x+22[/tex]

2. Use Distributive Property:

[tex]5(x+3)+2x+7[/tex]

[tex]5x+15+2x+7[/tex]

Combine Like Terms:

[tex]7x+22[/tex]

A boat is heading towards a lighthouse, whose beacon-light is 107 feet above the water. From point AA, the boat’s crew measures the angle of elevation to the beacon, 13°
, before they draw closer. They measure the angle of elevation a second time from point BB at some later time to be 22°
. Find the distance from point AA to point BB. Round your answer to the nearest tenth of a foot if necessary.

Answers

Answer:

198.6

Step-by-step explanation:

see pic

Antonio has $330 to spend on a hover board. Decide which description of a
price and discount, represents a pair of skis that Antonio can purchase with
the money he has.



25% off $450
20% off $385
20% off $360

Answers

I think the answer is 20% off $360

please help I realy need help HHHHEEELLLPPPP

Answers

Answer: 63/100

Step-by-step explanation: it is in its most simplified form

What is the ratio for 128 eggs per 72 strips of bacon

Answers

Answer:

128:72

Or

16:9 (simplified)

Hope this helps!

The equation for the area of a circle is given.

A=πr2

If the radius (r) of the circle is 3, what is the area in terms of π?



3π2

9π2

Answers

[tex]A=\pi r^2; r=3 =>\\\\A=\pi \times3^2\\A=9\pi[/tex]

Answer: [tex]9\pi[/tex]

Bamboo plants grow rapidly. A bamboo plant is 121 inches tall. Tomorrow it will be 134 inches tall, the next day it will be 147 inches tall, and on the next day it will be 160 inches tall. Write an explicit formula to represent the height of the bamboo plant as an arithmetic sequence. How tall will the plant be in 15 days?

Answers

The height of the bamboo plant after 15 days is 316 inches.

What is the height of the plant in 15 days?

In order to determine the formula that represents the rate of growth of the bamboo plant, we have to determine the inches of growth per day.

Rate of growth per day = 134 - 121 = 13 inches

The height of the bamboo plant = 121 + 13h

Where h is the number of days

Height in 15 days = = 121 + (13 x 15)

= 316 inches

To learn more about linear functions, please check: https://brainly.com/question/26434260

Write the slope-intercept form of
the equation of the line described
through: (2.0), perp. to y=-2x+2

Answers

Answer: Y= 1/2X+5

Step-by-step explanation: Equation of the line

The slope-intercept form of a line is given by:

Being:

m = the slope of the line

b = the y-intercept

We can also use the point-slope form of the line:

Being:

(h,k) = A point that belongs to the line

Two lines of slopes m1 and m2 are perpendicular if:

We are given the line:

Whose slope is m1=-2

Thus, the perpendicular line has a slope of:

The required line contains the point (-8,1), thus the equation is:

Removing the parentheses:

Adding 1:

Operating:

PLEASE HELP ITS DUE TODAY PLEASE HELP ASAP 15 POINTS PLEASE HELP​

Answers

Answer:

210 cm³

Step-by-step explanation:

volume = W x L x H

(where W = width, L = length and H = height)

By inspection of the diagram,

W = 6 cm

L = 7 cm

H = 5 cm

Therefore, volume = 6 x 7 x 5 = 210 cm³

Answer:

210 cm³

Work:

6×7=42

42×5=210

Step-by-step explanation:

When finding volume of a cube or rectangular prism you do the same thing as when you find the area of a square or rectangle, which is multiply the dimensions.

We see it is 7 cubes long, 6 cubes wide, and 5 cubes tall. To find the volume multiply all of these values together.

7×6×5=210

So, the volume of the prism is 210 cubes. Sense each cube is 1 cm³ the answer to the problem is 210 cm³

Find the equation (in terms of x ) of the line through the points (-4,-4) and (2,4)

Answers

Answer:

[tex]y=\frac{4}{3}x+\frac{4}{3}[/tex]

Step-by-step explanation:

Let [tex](x_1,y_1)\rightarrow(-4,-4)[/tex] and [tex](x_2,y_2)\rightarow(2,4)[/tex]:

Determine slope

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\ \\m=\frac{4-(-4)}{2-(-4)}\\ \\m=\frac{4+4}{2+4}\\ \\m=\frac{8}{6}\\ \\m=\frac{4}{3}[/tex]

Use either coordinate point to find "b", the y-intercept

[tex]y=mx+b\\\\4=\frac{4}{3}(2)+b\\ \\4=\frac{8}{3}+b\\ \\\frac{4}{3}=b[/tex]

Final Equation

[tex]y=\frac{4}{3}x+\frac{4}{3}[/tex]



Help me please I really need help

Answers

Answer:

37

Step-by-step explanation:

I'm having trouble explaining this one, sorry

Answer:

The team is measuring 333 feet below the surface.

Step-by-step explanation:

Step 1. Write the function out

P = 14 +(8d/9)

Step 2. Plug in the (P )ounds [310]

310 = 14 + (8d/9)

Step 3. Remove 14 from the right side of the equation (Subtract 14 from everything)

296 = 8d/9

Step 4. Remove 9 from the right side of the equation (Multiply everything by 9)

2664 = 8d

Step 5. Remove 8 from the right side of the equation (Divide everything by 8)

333 = d

Final Answer: The team is measuring 333 feet below the surface.

The admission fee at a water park is $9 for children and $15 for adults. On a certain day, 220
people entered the park, and the admission fees collected totaled $2640. How many children and
how many adults were admitted? Let x represent the number of children and y represent the
number of adults.
Total Equation:
Cost Equation:
The number of children admitted was
The number of adults admitted was

Answers

you basically want to write the total number of people using x and y for children and adults, and then write the cost function using the values you know for the ticket prices. next, you want to want to rearrange your total people equation so that you can write either x in terms of y or y in terms of x. finally, you can plug that into your cost equation and solve. (you then use the rearranged total people equation to solve for the other variable).

hope this helps :)

Round your answer to the nearest hundredth.

Answers

Given b=4 and ∠β=20°,

a = 10.98991

c = 11.69522

∠α = 70° = 1.22173 rad = 7/18π

h = 3.75877

area = 21.97982

perimeter = 26.68513

inradius = 1.64735

circumradius = 5.84761

a

b

c

Calculation Steps

The following is one way to perform the calculation. It may not be the best way.

c =

b

sin(β)

= 11.69522

a = √c2 - b2

= √11.6952176006522 - 42

= √120.77811472661

= 10.98991

∠α = 90° - ∠β

= 70° = 1.22173 rad = 7/18π

area =

a × b

2

=

10.989909677818 × 4

2

= 21.97982

perimeter = a + b + c

= 10.989909677818 + 4 + 11.695217600652

= 26.68513

inradius =

a × b

a + b + c

=

43.959638711274

26.685127278471

= 1.64735

circumradius =

c

2

=

11.695217600652

2

= 5.84761

- ror

help asap! brainlist will be given!

Answers

for a, the answer is 7 as KM is double the size of HI

for b, the answer would be 15 because as i explained before, the bigger segment is double the size of the smaller segment inside the figure

for c and d, i’m not so sure on the results

Madaly was extremely excited to go on vacation. HELP!!!!


The underlined part of the sentence can best be described as a/an...


adjective phrase.


prepositional phrase.


adverbial phrase.


noun phrase.

Answers

The underlined part of the sentence can best be described as an adjective phrase.

Parts of speech

In formation of sentences in English language, the words that are used usually include the following parts of speech:

nouns

pronouns

verbs

adjectives

adverbs

prepositions

conjunctions

interjections

An Adjective is a word that describes or modifies a noun or a pronoun. While adjective phrase is the phrase that can be used to modify or describe a noun in a sentence.

From the sentence given, extremely excited is adverbial phrase used to modify the noun vacation.

Learn more about parts of speech here:

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Please help. I'll give Brainliest to the correct answer!​

Answers

Answer:

A) x = 0, y = 14

Step-by-step explanation:

Line A:  y = 6x + 14

Therefore, the slope of line A = 6

If Line B is perpendicular to Line A, then the product of their slopes is -1.

⇒ slope of Line B = [tex]-\dfrac16[/tex]

Given Line B passes through point (2, 13 2/3).

Use slope-point form of linear equation to find equation for Line B:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-13 \frac23=-\dfrac16(x-2)[/tex]

[tex]\implies y=-\dfrac16x+14[/tex]

Solution of system is the point where the lines intersect.

From inspection of the equations of the lines, the point of intersection is (0, 14)

What is the image of (-4, 2) after a reflection over the y-axis?

Answers

Answer:

(4,2)

Step-by-step explanation:

x,y > -x, y

Please help!!! What is the equation of the function given the following table of values?

Answers

Answer:

C

Step-by-step explanation:

if you plug in the X values, you get the corresponding Y values.

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