I need the answer to the image

Answer:

Yes! I was looking to refresh my geometry skill!

Step-by-step explanation:

So, a 108* arc is 24 cm. How to solve it?

First, we need to find the Circumference, or perimeter of the circle. (That the swinging pendulum makes.

Second, use that in the formula for circumference, and find the radius.

Third, done! So, let's get to it!

All we have to do to find the circumference is divide 24 by 108, then multiply that by 360*(because a circle is 360*).

[tex]24/108*360=80[/tex]

So, our circumference is 80cm. Nice! Just need to input that into the circumference formula.

[tex]80=2\pi *r\\[/tex]

Now, to solve...

[tex]40=\pi *r\\40/\pi =r[/tex]

This rounds to about 12.73 cm.

Hope this helps!

Happy Geometry!

B is the 3/4 = .75 and 5/8 = .625

Answer: 0.75

Step-by-step explanation:

Given the following :

Using the formula above :

___bag 1__bag 2__(bag1-m)/sd__(bag2-m)/sd2

D 1___2____4_____-0.8________-0.4

D 2___4____5_____0_________0

D 3___1____3_____-1.2_________-0.9

D 4___6___ 4_____0.8_________-0.4

D 5___7___9_____ 1.2_________ 1.7

Bag1:

Mean = 4

Standard deviation = 2.5

Bag2:

Mean = 5

Standard deviation = 2.3

Σ-0.8*-0.4 + 0 + - 1.2*-0.8 + 0.8*-0.4 + 1.2*1.7) = 3

1/ (n-1) × 3

1/(5 - 1) × 3

(1/4) × 3

0.25 * 3 = 0.75

Answer:

0.75

Step-by-step explanation:

Loss in apple [tex]=1400\times \dfrac{4}{100}= 56[/tex]

Present value = 1400 - 56 = $1344 .

Loss in google [tex]= 1900\times \dfrac{5}{100}=95[/tex]

Present value = 1900 + 95 = $1995 .

Loss in Starbucks [tex]=1700\times \dfrac{3}{100}=51[/tex]

Present value = 1700 + 51 = $1751 .

Total investment , T = 1400 + 1900 + 1700 = $5000 .

Gain , G = 56 + 95 + 51 = $202 .

% increase [tex]=\dfrac{202}{5000}\times 100 = 4.04 \%[/tex]

Hence , this is the required solution .

First turn them all into decimals.

Divide the numerator (top) by the denominator (bottom).

3/10 is .3 and doesn’t repeat.

1/3 is .333333.....

6/12 is .5, doesn’t repeat.

3/4 is .75, also doesn’t repeat.

1/3 is the repeating decimal.

Answer:

The cost function of manufacturing this box is:

[tex]C_{T} = 2.15\cdot x^{2}+30\cdot x[/tex], where [tex]x[/tex] is the length of the box, measured in US dollars.

Step-by-step explanation:

From the statement we know that:

1) The box has a square base ([tex]w = l = x[/tex]).

2) The box has a depth of 10 inches ([tex]h = 10\,in[/tex]).

3) The cost of manufacturing the top of the box is $ 1.20 per square inch.

4) The cost of manufacturing the bottom of the box is $ 0.95 per square inch.

5) The cost of manufacturing each side of the box is $ 0.75 per square inch.

The total cost of manufacturing the box is:

[tex]C_{T} =C_{bottom} + C_{top} + 4\cdot C_{side}[/tex]

Where:

[tex]C_{bottom}[/tex] - Cost of the bottom of the box, measured in US dollars.

[tex]C_{top}[/tex] - Cost of the top of the box, measured in US dollars.

[tex]C_{side}[/tex] - Cost of the side of the box, measured in US dollars.

Dimensionally, cost equals unit cost, measured in US dollars by square inch, multiplied by surface area, measured in square inches. Now, the expression is expanded:

[tex]C_{T} = c_{bottom}\cdot x^{2}+c_{top}\cdot x^{2}+4\cdot c_{side}\cdot h\cdot x[/tex]

[tex]C_{T} =(c_{bottom}+c_{top})\cdot x^{2}+4\cdot c_{side}\cdot h \cdot x[/tex]

If we know that [tex]c_{bottom} = \$\,0.95\,in^{-2}[/tex], [tex]c_{top} = \$\,1.20\,in^{-2}[/tex], [tex]c_{side} = \$\,0.75\,in^{-2}[/tex] and [tex]h = 10\,in[/tex], the cost function of manufacturing this box is:

[tex]C_{T} = 2.15\cdot x^{2}+30\cdot x[/tex], where [tex]x[/tex] is the length of the box, measured in US dollars.

Answer:

I think it would be considered 1

Step-by-step explanation:

If you have a fraction that has the same integer for the numerator and denominator, that fraction would equal to 1 because the fraction is completed. As an example, 5/5 is equal to one because there is 5 pieces of the fraction needed to complete it, and there's and available 5. Meaning that there's 5 out of 5 pieces needed to create a whole number which would be 1.

Decimal form: .2 + .2 + .2 + .2 + .2 = 1.0

Written form: 1/5 + 1/5 + 1/5 + 1/5 + 1/5 = 5/5 or 1

Answer:

16

Step-by-step explanation:

Take the total amount and divide by the amount per candy bar

28 /1.75

16

He can buy 16 candy bars

Train A's speed = x

Train B's speed = x + 10

4.5(x + x + 10) = 432

Distribute both sides by 4.5

x + x + 10 = 96

Combine like terms.

2x + 10 = 96

Subtract 10 from both sides.

2x = 86

Divide both sides by 2

x = 43

Train A = x = 43 mph

Train B = x + 10 = 43 + 10 = 53 mph

Speed is the ratio of distance and time.

Speed = Distance /Time

Distance = Speed x Time

If Train B travels 10 mph faster than Train A.

The speed of train A is 48 mph.

The speed of train B is 58 mph.

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

Example:

The speed of a car moving 4km in 2 hours is 2km per hour.

We have,

Train A:

Speed = x

Train B:

Speed = x + 10

Speed = Distance / Time

Distance = Speed x Time

At time = 4.5 hours, the train is 432 miles apart.

This can be written as,

Distance = (Speed of train A + Speed of train B)  x Time

432 = (x + x + 10) x 4.5

Divide both sides by 4.5.

432 / 4.5 = 2x + 10

96 = 2x + 10

Subtract 10 on both sides.

96 - 10 = 2x

86 = 2x

Divide both sides by 2.

2x = 96

x = 96/2

x = 48

Now,

x + 10 = 48 + 10 = 58

Thus,

If Train B travels 10 mph faster than Train A.

The speed of train A is 48 mph.

The speed of train B is 58 mph.

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Answer:

25 cents

Step-by-step explanation:

Answer:

25 cents

Step-by-step explanation:

25 cents times 4 is $1

think of quarters

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{2}}}}}[/tex]

Step-by-step explanation:

Let the missing integer be x

Solve for x

[tex] \sf{ - 3 - x = - 5}[/tex]

Move 3 to right hand side and change it's sign

[tex] \dashrightarrow{ \sf{ - x = - 5 + 3}}[/tex]

The negative and positive integers are always subtracted but posses the sign of the bigger integer

[tex] \dashrightarrow{ \sf{ - x = - 2}}[/tex]

Change the signs of both sides

[tex] \dashrightarrow{ \boxed{ \sf{x = 2}}}[/tex]

Hope I helped!

Best regards! :D

Answer:

x + 4 = 9 + 2x - 15

Step-by-step explanation:

Since, E is between F and G.

Therefore,

FG = EF + EG

x + 4 = 9 + 2x - 15

x + 4 = 2x - 6

4 + 6 = 2x - x

10 = x

or

x = 10

Answer:

(3,6)

Step-by-step explanation:

well it's parentheses because it is not equal to.

and it shouldn't have infinity signs because they both have stopping points

Answer: A

(3, 6)

Step-by-step explanation:

Answer:

The price of the ticket before tax - P

The amount of tax Jennifer pays- 0.08P

Jennifer's total amount for the ticket- P + 0.08P

Step-by-step explanation:

The price of the plane ticket is P dollars, before airport security tax. Here P is an independent variable.

An airport security tax of 8% is applied to the price of a plane ticket. So, the amount of airport security tax that Jennifer pays is 8% of the cost of her plane ticket, or 0.08P.

To find Jennifer's total amount for the plane ticket, add the price of the ticket before airport security tax and the amount of airport security tax Jennifer pays. So, the total amount of the plane ticket is P + 0.08P.

The table below shows the expressions matched to their meanings.

An expression is defined as a set of numbers, variables, and mathematical operations. Jennifer's total amount for the ticket is P+0.08P.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given that Jennifer is buying a plane ticket to travel abroad. The price of the plane ticket is P dollars, and she has to pay the additional 8% airport security tax. Therefore, we can write the expressions as,

The price of the ticket before tax → P

The amount of tax Jennifer pays → 8% of P = 0.08p

Jennifer's total amount for the ticket → Price of ticket + Tax = P + 0.08P

Hence, Jennifer's total amount for the ticket is P+0.08P.

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Answer:

2y + 2 + y = 50 (combine like terms)

3y + 2 = 50

3y = 50 - 2

3y = 48

y = 16

Substitute 16 for y in either equation 1 or 2 and solve for x (I chose equation 1):

x + 16 = 50

x = 50 - 16

x = 34

Step-by-step explanation:

Hey there! I'm happy to help!

We have 8 bags of dog food and each costs $25.19

8(25.19)=201.52

And we have 11 leashes each costing $4.65.

11(4.65)=51.15

We add these totals up.

201.52+51.15=252.67

We subtract this from 300 to see how much is left.

300-252.67=47.33

Rhonda had $47.33 left after her purchases.

Have a wonderful day! :D

Answer:

$47.33

Step-by-step explanation:

she bought 8 bags of dog food so: 8 x 25.19 = 201.52

she bought 11 leashes so: 4.65 x 11 = 51.15

201.52 + 51.15 = 252.67

300 - 252.67 = 47.33

Answer: It’s A, 655.

The total number of different tunes will a member who attended all meetings have heard during the year is 655 and this can be determined by using the given data.

Given :

The total number of slots is given by:

[tex]50\times 20 = 1000[/tex]

So, the total number of tunes in each slot is 1000.

The total number of remaining tunes is given by:

[tex]=1000-(400+450)[/tex]

= 150

According to the given data half of the remaining tunes were played thrice that is 75 tunes were played thrice and only 5 other tunes were played out of the remaining 75 tunes.

So, the total number of tunes a member will hear is given by:

[tex]=400+\dfrac{450}{2}+\dfrac{75}{3}+5[/tex]

= 655

So, the total number of different tunes will a member who attended all meetings have heard during the year is 655.

For more information, refer to the link given below:

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Answer:

  y = -4

Step-by-step explanation:

We can solve for x to see.

  x(y+4) +5y +20 = 1

  x(y +4) = -19 -5y . . . . . subtract 5y+20

  x = (-19 -5y)/(y +4)

x is undefined (no solution) for y = -4.

Answer:

y = -4

Step-by-step explanation:

If we look at xy + 5y, we see that both terms share a factor of y. This gives us

                                                   y(x + 5) + 4x + 20 = 1

Similarly, 4x and 20 share a factor of 4, giving us

                                                   y(x + 5) + 4(x + 5) = 1

Now we see that these two terms share a factor of x + 5, so factoring gives us

                                                   (y + 4)(x + 5) = 1

Dividing both sides by y+4 gives us

                                                    x + 5 = 1/(y + 4)

Finally, we subtract both sides by 5 to get

                                                    x = 1/(y + 4) - 5

Thus, since we can not have a 0 in the denominator, we see that if y = -4 then x will have no solution. For any other value of y, we can find the solution for x using this equation.

Answer:

b=18

Step-by-step explanation:

b+17=35

    -17   -17

b=18

Answer:

0.13 is irrational

Step-by-step explanation:

these two numbers are clearly between 0.12 and 0.13

Answer:

  33 1/3 lb

Step-by-step explanation:

When the distance between them goes from 8 ft to 12 ft, it is 1.5 times what it was. Then the force will be multiplied by the inverse of the square of this:

  (75 lb)×1/(1.5²) = 75/2.25 lb = 33 1/3 lb

At 12 feet apart, the attraction force is 33 1/3 pounds.

Answer:

A. From 2005 to 2009, both assets and liabilities decrease.

Step-by-step explanation:

I just took the test and it was correct

From 2005 to 2009, both Assets and Liabilities decreased.

We have - A table showing the assets and liabilities of smith family in year 2005 and 2009.

We have to estimate, whether the smith family has acquired more assets or liabilities from the year 2005 to 2009.

Assets are the items that an individual own in order to extract some economic benefit from it in the future.

Liability includes the money, services or items that you owe to other person. Example : Loan, mortgage etc.

In the question given -

In the year 2005 :

In the year 2009 :

Hence, it can be seen from the above figures that - From 2005 to 2009, both Assets and Liabilities decreased.

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Answer: i'm pretty sure Meg would have skated 1/2 of a mile in an hour

Answer:

meg would have skated 1/2 of a mile in 1 hour.

Step-by-step explanation:

Answer:

n=q^2

Step-by-step explanation:

Answer:

992,016

Step-by-step explanation:

[tex] {996}^{2} \\ = {(1000 - 4)}^{2} \\ = {1000}^{2} - 2 \times 1000 \times 4 + {4}^{2} \\ = 1000000 - 8000 + 16 \\ = 1000016 - 8000 \\ = 992,016 \\ [/tex]

Answer:

The answer is C. Left-Skewed