I know the answer is 36 but I need to know the working out and I am unsure how to work the question out.Plz explain

Thanks in advance!! :)

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Since the 3 numbers have a ratio of 2:3:7, that means it simplifies to that. So, there must be a common factor, let’s say x, for each of the numbers. Thus, the numbers are 2x, 3x, and 7x. To find the mean, we add up all of the numbers and divide by the number of numbers: (2x + 3x + 7x)/3 = 12x/3 = 4x = 48. Dividing by 4 on both sides gets x = 12. The median of the numbers is the number in the middle which is 3x. Substituting x = 12, we get: 3(12) = 36.

I hope this helps!!! :)

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a nonagon is a nine-sided polygon, if a regular nonagon was rotated about its center point, which of the following angels of rotation would not map the figure onto itself

Answers

The angles of rotation that would not map the figure onto itself will not be the multiple of 40 and this can be determined by evaluating the possible angle of each rotation.

Given :

A nonagon is a nine-sided polygon.
A regular nonagon was rotated about its center point.

To determine angels of rotation that would not map the figure onto itself, first, evaluate the possible angle of each rotation.

To determine the possible angle of each rotation the following calculation can be used:

The possible angle of eachrotation is the ratio of the complete rotation to the number of sides.

$\rm Each \;Rotation = (360^\circ)/(9)$

Each Rotation = $40^\circ$

So, the angles of rotation that would not map the figure onto itself will not be the multiple of 40.

For more information, refer to the link given below:

brainly.com/question/22051318

Answer:

See Explanation

Step-by-step explanation:

Given

$Shape: Nonagon$

Required

Angles of rotation that would not map the shape on itself

Side of a nonagon is:

$Sides = 9$

and a complete rotation is:

$Complete\ Rotation = 360\°$

To start with, we calculate a possible angle of each rotation:

This is calculated by dividing the complete rotation by number of sides

$Each\ Rotation = (360)/(9)$

$Each\ Rotation = 40$

The question lacks option; so, it's difficult to give a specific answer.

However, I'll give a generalized answer

For the nonagon to map on itself, the angle must be a multiple of the calculated angle of rotation (40)

i.e.

$Possible\ Angles = 40,80,120,160,200,240,280,320,360......$

Any angle different from the above listed angles (or any other multiple of 40 not listed above) answers the question.

I need help with this question

Answers

Answer:
_______________________________________________
1) 72 $\pi$ cm² / min. ;
_______________________________________________
2) 192 $\pi$ cm² / min.
_______________________________________________
Explanation:
____________________________________________

Area of a circle: A = $\pi$ r² ;

Rate of change of Area is: da/dt = 2 $\pi$ r (dr/dt) ;

Given: dr/dt = 3 cm / min.
______________________________________________________
Problem 1)
____________________________________________________________
dA/dt = 2 $\pi$ *(12 cm)*(3 cm/ min) = 72 $\pi$ cm² / min. ;
____________________________________________________________
Problem 2)
____________________________________________________________
dA/dt = 2 $\pi$ *(32 cm)*(3 cm/ min) = 192 $\pi$ cm² / min.
_____________________________________________________________

A pancake recipe calls for 1 cup of flour. Derek has already used 1/4 cup of flour. How many more cups of flour does Derek need to add?

Answers

Answer:

Derek needs to add 3/4 cups of flour.

Step-by-step explanation:

If Derek has already used 1/4 cup of flour, he needs 3 more cups of flour to get to 1 full cup of flour.

Answer:

Step-by-step explanation:A batch of cookies requires 2 1/4 cup of flour and 1 egg. You have in your kitchen 8 cups of flour and a half dozen eggs. a) How many batches of cookies

A motorist left Lagos at 11:30 am and arrived at Ibadan at
1:30pm. If the distance
between Lagos & Ibadan is
168km, what was the average
speed of the motorist?

Answers

Answer:

60 miles prh because that is the amount of speed it takes to get there

Let S be the sphere of radius 1 centered at (2, 4, 6). Find the distance from S to the plane x + y + z = 0.

Answers

Answer:

5.928

Step-by-step explanation:

Given that:

The relation of the plane x+y+z= 0

Suppose (x,y,z) is any point on the plane.

Then the difference between (2,4,6) to (x,y,z) is:

$d^2 = (x-2)^2 + (y -4)^2 + ( z -6)^2 \n \n d^2 = (x^2 -4x+4) + ( y^2-8y +16) +(z^2 -12z + 36)$

$d^2 = x^2 + y^2 +z^2 -4x -8y -12z +4 +16 +36$

$d^2 = x^2 +y^2 + z^2 -4x -8y -12z +56$

∴

$f(x,y,z) =d^2 = x^2 + y^2 + z^2 - 4x -8y - 12 z +56 - - - (1)$

To estimate the maximum and minimum values of the function f(x,y,z) subject to the constraint g(x,y,z) = x+y+z =0

By applying Lagrane multipliers;

If we differentiate equation (1) with respect to x; we have:

f(x,y,z) = 2x -4

If we differentiate equation (1) with respect to y; we have:

f(x,y,z) = 2y - 8

If we differentiate equation (1) with respect to z; we have:

f(x,y,z) = 2z - 12

Differentiating g(x,y,z) with respect to x, we have:

$g_x(x,y,z) = 1$

Differentiating g(x,y,z) with respect to y, we have:

$g_y(x,y,z) = 1$

Differentiating g(x,y,z) with respect to z, we have:

$g_z(x,y,z) = 1$

Calculating the equations $\bigtriangledown f = \lambda \bigtriangleup g \ \ \ \& \ \ \ g(x,y,z) =0$

$f_x = \lambda g_x\n$

$2x - 4 = \lambda (1)$

$2x= 4 + \lambda$

$x= 2 + (\lambda )/(2) --- (2)$

$f_y = \lambda g_y$

$2x -8 = \lambda(1)$

$2x = 8+ \lambda$

$x = 4+(\lambda)/(2) --- (3)$

$f_z = \lambda g_z$

$2x -12 = \lambda (1)$

$x = 6 + (\lambda )/(2) --- (4)$

x+y+z = 0 - - - (5)

replacing x, y, z values in the given constraint

x + y + z = 0

$2+(\lambda)/(2)+4+(\lambda)/(2)+6+(\lambda)/(2)=0$

$12 + (3 \lambda )/(2)=0$

$(3 \lambda )/(2)=-12$

$3 \lambda=-12 * 2$

$3 \lambda=-24$

$\lambda=(-24)/(3)$

$\lambda=-8$

Therefore, from equation (2)

$x=2 +( \lambda )/(2)$

$x=2 +( -8 )/(2)$

x = 2 - 4

x = - 2

From equation (3)

$x=4 +( \lambda )/(2)$

$x=4 +( -8 )/(2)$

x = 4 - 4

x = 0

From equation (3)

$x=6 +( \lambda )/(2)$

$x=6 +( -8 )/(2)$

x = 6 -4

x = 2

i.e (x,y,z) = (-2, 0, 2)

∴

$d^2 = (x-2)^2 +(y-4)^2 + (z -6)^2$

$d^2 = (-2-2)^2 +(0-4)^2 + (2 -6)^2$

$d^2 = 16 +16 + 16$

$d^2 =48$

$d =√(48)$

$d= \pm 6.928$

since we are taking only the positive integer because distance cannot be negative, then:

The distance from the center of the sphere to the plane is 6.928.

However, the distance from the surface S to the plane is:

6.928 - radius of the sphere.

where;

the radius of the sphere is given as 1

Then:

the distance from the surface S to the plane is:

6.928 - 1

= 5.928

You need to borrow $15,000 to buy a car, and you determine that you can afford monthly payments of $325. The bank offers three choices: a 3-yearloan at 7% APR, a 4-year loan at 7.5% APR, or a 5-year loan a 8% APR. Which loan best meets your needs? Show your work and explain your reasoning.

Answers

The 4-year loan at 7.5% APR seems to be the best choice as it strikes a balance between a reasonable monthly payment and minimizing the total interest paid.

To determine which loan option best meets your needs, you should consider both the monthly payment amount and the total cost of the loan. Here's how you can calculate and compare the three options:

1. 3-year loan at 7% APR:

- Monthly payment: $325

- Total payments over the loan term: $325 * 12 months/year * 3 years = $11,700

- Total interest paid: $11,700 - $15,000 = $3,300

2. 4-year loan at 7.5% APR:

- Monthly payment: $325

- Total payments over the loan term: $325 * 12 months/year * 4 years = $15,600

- Total interest paid: $15,600 - $15,000 = $600

3. 5-year loan at 8% APR:

- Monthly payment: $325

- Total payments over the loan term: $325 * 12 months/year * 5 years = $19,500

- Total interest paid: $19,500 - $15,000 = $4,500

Now, let's analyze the options:

- The 4-year loan at 7.5% APR has the highest monthly payment but the lowest total interest cost, making it the most cost-effective option. However, you should ensure that the higher monthly payment fits comfortably within your budget.

- The 3-year loan at 7% APR has a lower interest cost than the 5-year loan but a higher monthly payment. It's a good middle-ground choice if you can afford the monthly payments.

- The 5-year loan at 8% APR offers the lowest monthly payment but results in the highest total interest cost. It's the least cost-effective option, and you would end up paying significantly more over the loan term.

Ultimately, the 4-year loan at 7.5% APR seems to be the best choice as it strikes a balance between a reasonable monthly payment and minimizing the total interest paid. However, ensure that the monthly payment aligns with your financial situation before making a decision.

For more such questions on monthly payment:

brainly.com/question/27926261

#SPJ2

Answer:

the 5yr/ $270mth

Step-by-step explanation:

$15k × 8% = $1200 interest

$15k + $1200 = $16,200.00

$16500 ÷ 60months (5years) = $270/mth pymt

Other Questions

Solve the equation. And write all solutions in general form.

Can someone please help me with this question