A dog is leashed to a tree with a 20 ft rope. If the dog runs around the tree one time, how far has he run?

Step-by-step explanation:

Does this help?

Answer:

FV= 1,000*(1.12^n)

Step-by-step explanation:

Giving the following information:

Initial investment= $1,000

Increase rate= 12% = 0.12

We need to formulate an exponential equation to show the value in n years.

To calculate the Future Value, we need to use the following formula:

FV= PV*(1+i)^n

Being:

FV= Future Value

PV= Initial Investment

i= increase rate

n= number of periods

FV= 1,000*(1.12^n)

For example, for one year:

FV= 1,000*(1.12^1)

FV= $1,120

For 3 years:

FV= 1,000*(1.12^3)

FV= $1,404.93

Answer:

A

Step-by-step explanation:

Answer:

B. The gains of the industrial revolution should be shared by all members of society.

Step-by-step explanation:

Communists were opposed to the power that the wealthy bourgeoisie had, who controlled the means of production.

Instead, Communists wanted the proletariat (working class) to control the means of production, in order to create a more even distribution of wealth and power in society.

So, they supported making the Industrial Revolution's benefits shared by society.

Utopian socialists also would support this, as they also supported public ownership of the means of production.

The correct answer is B.

Answer: 84° & 66°

Step-by-step explanation:

find our variables...

difference in two unknown angles is 18 so...

Let's use a, b, & c to set up

a=30 b=b c=b-18

150=b+c

150=b+(b-18)

150=2b-18

168=2b

84=b

Use our known b to find c...

c=b-18

c=84-18

c=66

Adding all three up to make sure they give us 180 degrees is a good way to check our work.

a+b+c=

30+84+66=180

Answer: Radius is 15.9975 meters.

Step-by-step explanation:

The formula to find radius of circle is r=[tex]\sqrt{A/\pi }[/tex] so plug in our known variables and solve...

r=[tex]\sqrt{804/\pi }[/tex]

r=[tex]\sqrt{255.9211}[/tex]

r=15.9975

Answer:

b

because the square tote works

Step-by-step explanation:

next

Answer:

24000

Step by step

20×10×80 = 16000+ 40×10×20=8000 = 24000

Answer:

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Step by Step Explanation:

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Step-by-step explanation:

We need to find x in this question.

x - 4 = -3

So, shifting -4 from one side to another, we get:-

x = -3 + 4

[+4 because the sign changes when we replace the numbers]

x = 4 - 3

x = 1 is the required answer.

Hope it helps :)

Answer:

30.1°

Step-by-step explanation:

Let A = angle of elevation

tan A = 55/95

A = arctan 55/95

    = 30.1°

Answer:

See Below.

Step-by-step explanation:

We are given that A, B, C, and D are the midpoints of sides PQ, QR, RS, and SP, respectively.

And we want to prove that ABCD is a parallelogram.

By the definition of midpoint, this means that:

[tex]SD\cong DP, \, PA\cong AQ, \, QB\congBR, \, \text{ and } RC\cong CS[/tex]

To prove, we can construct a segment from S to Q to form SQ. This is shown in the first diagram.

By the Midpoint Theorem:

[tex]DA\parallel SQ[/tex]

Similarly:

[tex]CB\parallel SQ[/tex]

By the transitive property for parallel lines:

[tex]DA\parallel CB[/tex]

Likewise, we can do the same for the other pair of sides. We will construct a segment from P to R to form PR. This is shown in the second diagram.

By the Midpoint Theorem:

[tex]AB\parallel PR[/tex]

Similarly:

[tex]DC\parallel PR[/tex]

So:

[tex]AB\parallel DC[/tex]

This yields:

[tex]DA\parallel CB\text{ and } DC\parallel AB[/tex]

By the definition of a parallelogram, it follows that:

[tex]ABCD\text{ is a parallelogram.}[/tex]

Answer:

this is your answer look it once

Answer:

Step-by-step explanation:

Answer:

No, as the one becomes x^2/x^3 and the other is x^3/x^2, which is not equivalent.

Step-by-step explanation:

Answer:

y = -7x + 1

Step-by-step explanation:

Remember the formula for slope-intercept form: y = mx+ b

m is equal to the slope value

b is equal to the y-intercept value

Meaning, when you substitute the values in, you get:

y = -7x + 1

Answer:

y = -7x - 1 is the desired equation.

Step-by-step explanation:

Choose the form of the equation of a straight line that requires the least amount of work.  In this particular case we are given the slope (-7) and the y-intercept (1), and so use the slope-intercept form y = mx + b:

y = -7x - 1 is the desired equation.

Answer:

0....4.... 8....12....16

Answer:

If he kept taking notes at the same pace, he would have 16 pages of notes in his notebook.

Step-by-step explanation:

By dividing the number of pages of notes taken by the time spent taking them, you can find his rate of note-taking, which is 4 pages an hour. By adding another hour of notes, he should have 16 pages of notes. But if this question is asking for 4 more hours, the answer would be 28 pages.

Answer:

5.7 unit

Step-by-step explanation:

From the question,

Applying pythagoras theorem,

a² = b²+c²....................... Equation 1

From the diagram.

a = /QX/, b = /XR/, c = /RQ/

Given: b = /XR/ = 4 units, c = /RQ/ = 4 units.

Substitute these values into equation 1

a² = 4²+4²

a² = 16+16

a² = 32

a = [tex]\sqrt{32}[/tex]

a = 5.7 units

Hence, QX = 5.7 units

Answer:

p = 63

Step-by-step explanation:

3Q = p - 21

transfer the -21 to the left as the value of Q. Since it was negative, when we transfer it to the left it will turn to poditve so,

3(21) = p

multiply 3 and 21 so 3 multiplied by 21 is equal to,

63 = p, then the answer is p = 63

Answer:

The statement which is true about the angles in the figure is;

The measure of Angle 4 is 137 degrees

Step-by-step explanation:

From the question diagram, we have;

The interior angles of the triangle are;

43°, 56°, and ∠1

Therefore, by the angle sum theorem, we have;

∠1 = 180° - 43° - 56° = 81°

∠1 = 81°

The measure of ∠1 is 81°

By the sum of angles on a straight line, we have;

∠1 + ∠2 = 180°

∴ 81° + ∠2 = 180°

∠2 = 180° - 81° = 99°

The measure of ∠2 is 99°

Similarly, for the angles 56° and ∠3 which are on a straight line, we have;

56° + ∠3 = 180°

∠3 = 180° - 56° = 124°

The measure of ∠3 is 124°

For the angles 43° and ∠4 which are on a straight line, we have;

43° + ∠4 = 180°

∠4 = 180° - 43° = 137°

The measure of ∠4 is 137°

Therefore the true statement is the measure of angle 4 is 137 degrees.

Answer:

8%, 234 miles , 100%

Step-by-step explanation:

X/100 x 325 = 26, X/100 = 0.08, X = 8%

.

0.72 x 325 = 234 miles

.

3rd i guess the question itself is wrong but answer it by 100%

Answer:

Percentage = 8%

Step-by-step explanation:

At 26 miles, Lin's family completed 8% of the trip’s distance

1. Let's review the information given to us to answer the question correctly:

Distance from Lin's home to her grandmother's house = 325 miles

2. At 26 miles, what percentage of the trip’s distance have they completed?

Percentage = Distance covered/Total distance * 100

Replacing with the values we know:

Percentage = 26/325 * 100

Percentage = 0.08 * 100

Percentage = 8%

Answer:

firt thing i would do is take out things that are alike but if these are the options then i would a) multiply the first equation by -1

Answer:

6 loads

Step-by-step explanation:

Answer:

she will need to do 6 loads

Answer:

1. 8.19, 2. 25.96, 3. 3.95

Step-by-step explanation:

use soh cah toa

1. cos is adjacent/hypotenuse

cos73=x/28

multiply both sides by 28

28cos73=x=8.186

2. sin is opposite over hypotenuse

sin68=x/28

multiply both sides by 28

28sin68=x=25.961

3. sin is opposite over hypotenuse

sin26=x/9

myltiply both sides by 9

9sin26=x=3.945

Answer:

£7.50 per hour

answer: c

Step-by-step explanation:

hope this helps!

have a good day :)

Answer:

$60.74 on the second trip.

Step-by-step explanation:

Well we know that she spent $35.78 on the first trip.

We DON’T know how much she spent for the second trip so lets put it as “x” for unknown.

We know she spent a TOTAL of $96.52 for those two trips combined.

So we can make a simple equation

35.78+x=96.52

Now solve the equation.

Subtract 35.78 on both sides to isolate the X

35.78-35.78=0

96.52-35.78= 60.74

So if you plug everything in

0+x=60.74

0 is nothing so we can get rid of that

x=60.74

Answer:

b =  3.55 to the nearest hundredth.

Step-by-step explanation:

b / sin B = c / sin C

b / sin 45 = 5 / sin 95

b = 5 sin 45 / sin 95

= 3.549.

Answer:

3. HGK

4. k=17

Step-by-step explanation:

Answer:

D it should be D i had a similar question