As an estimation we are told 5 miles is 8 km. Convert 17.8 km to miles.

Answers

Answer 1

Answer:

17.8km = 11.125 miles

Step-by-step explanation:

From 5 miles = 8km, we can form the ratio km:miles as 8 : 5.

We want to put the ratio in the form 1 : n, which gives us 1 : 0.625 (we divide both 8 and 5 by 8 to get this form).

Now, using the ratio km:miles as 1:0.625, we have to multiply both 1 and 0.625 by 17.8 to gain the ratio 17.8 : n, therefore giving us the ratio 17.8 : 11.125.

Hence, 17.8km = 11.125 miles

Answer 2

Answer:

11.125 miles

Step-by-step explanation:

Proportions:

5 miles ⇒ 8 km

A miles ⇒ 17.8 km

A = 17.8km*5miles/8miles

A = 11.125 miles


Related Questions

Economy Hardware Store ordered items retailing for $2,500. They received a chain discount of 20/5/2. Find the net cost.

Answers

The net cost after discounts will be $ 2,450.

Given that Economy Hardware Store ordered items retailing for $ 2,500, and they received a chain discount of 5/20/2, the following calculation must be performed to find the net cost, knowing that the net cost is equal to the initial cost minus the discounts made about it:

First, the discount percentage must be calculated.

5/20/2 = X

4/2 = X

2 = X

Then, this percentage must be subtracted from the initial value.

2500 x (1-0.02) = X

2500 x 0.98 = X

2450 = X

Therefore, the net cost after discounts will be $ 2,450.

Learn more in https://brainly.com/question/17003148.

Which is true about the solution to the system of inequalities shown?

y > 3x + 1

y < 3x – 3

Answers

they don't share any points

that's one thing, but I don't know what your options are of course.

see screenshot for illustration of the inequalities

Diagnostic
Analytics

When completing an online shopping transaction, a typical shopper takes 7 seconds to
select each product and another 9 seconds to complete the check-out process. If it takes 37
seconds to complete a transaction, how many products are being purchased?
products
Submit

Answers

Answer:

In 26 seconds to complete a transaction, 2 products are being purchased.

Step-by-step explanation:

1 item  = 9 seconds

Time taken in all to check out = 8 seconds

Time taken to shop = 26 seconds

Now as check out process takes 8 seconds, so the

Time left to ACTUALLY SHOP =  Total Time  - Time Used to check out

                                                  = 26 seconds = 8 seconds = 18 seconds

Shopping of 1 item = 8 seconds

Shopping of 2 items  = 2 x ( Time taken in 1 item) = 2 x  9 = 18 seconds

So, in 18 seconds, 2 clothing item can be selected.

Hence,in 26 seconds to complete a transaction, 2 products are being purchased.

First, find the length of each edge of the cube.
Then, find the volume.

Answers

the length of each edge of the cube would be 6cm, and to find the volume you would do 6x6x6 which is 326 cm cubed

since in a cube length, width and height are equal,

h = 6

w = 6

l = 6

and volume is 6³ = 216cm³

hope it helps :)

In isoceles triangle the length of a leg is 17cm, and the base is 16cm. Find the length of the altitude to the base

Answers

This triangle has base 16 therefore the sides must be 17cm and 17 cm

When we make a altitude it divides it into two right triangles and there is a property in which the altitude of the isoceles triangle divides the base in 2 equal halves

So the side of the right triangle will be x , 8 , 17

Using pythgoreus theorem

x²+8²=17²

x = √225

x = 15

So the altitude is 15 cm

Must click thanks and mark brainliest

Problem 1 Find the mBC.

Answers

Answer:

m BC = 100

Step-by-step explanation:

Since the angle is at the center, the arc has the same measurement as the angle

m BC = 100


Help anyone can help me do this question,I will mark brainlest.​

Answers

Answer:

Step-by-step explanation:

Two terms of a geometric sequence are given. Find the first five terms. Please help asap

Answers

Answer:

4, 8, 16, 32, 64

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]

Given

a₇ = 256 and a₁₀ = 2048 , then

a₁ [tex]r^{6}[/tex] = 256 → (1)

a₁ [tex]r^{9}[/tex] = 2048 → (2)

Divide (2) by (1)

[tex]\frac{a_{1}r^{9} }{a_{1}r^{6} }[/tex] = [tex]\frac{2048}{256}[/tex]

r³ = 8 ( take the cube root of both sides )

r = [tex]\sqrt[3]{8}[/tex] = 2

Substitute r = 2 into (1)

a₁ × [tex]2^{6}[/tex] = 256

a₁ × 64 = 256 ( divide both sides by 64 )

a₁ = 4

Then

a₁ = 4

a₂ = 2a₁ = 2 × 4 = 8

a₃ = 2a₂ = 2 × 8 = 16

a₄ = 2a₃ = 2 × 16 = 32

a₅ = 2a₄ = 2 × 32 = 64

A man invested a certain amount of money in a bank at a simple interest rate of 5percent per annum. At the end of the year, his total amount un the bank was GHC 840,000.00. How much sid he invest in the bank.​

Answers

Answer: He invested 8,00,000.

Step-by-step explanation:

R = 5%

A = 840,000

T = 1 year

so

so

I = A-P

so

I = PTR/100

or, A-P = (p*1*5)/100

or, 840,000-P = 5p/100

or, 8,40,00,000-100P = 5p

or, 8,40,00,000 = 105P

so, p = 8,40,8,40,00,000

so, P = 8,00,000

Differentiate y= ln (6 – 3x)^4​

Answers

Step-by-step explanation:

[tex] \frac{dy}{dx} = \frac{1}{ {(6 - 3x)}^{4} } \times {4(6 - 3x)}^{3} ( - 3) \\ = \frac{ - 12 {(6 - 3x)}^{3} }{ {(6 - 3x)}^{4} } \\ = - \frac{12}{6 - 3x} [/tex]

I hope I'm correct. I've never learnt differentiation for log and exponents before

I need help ASAP!!Please explain how to do the problem

Answers

Answer:

i think its 30

Step-by-step explanation:

perimeter is the sides added together

Answer:

44 units

Step-by-step explanation:

The tangents from an external point to a circle are congruent, then

perimeter = (9 + 9) + (8 + 8) + (13 - 8 ) + (13 - 8)

                = 18 + 16 + (5 + 5)

               = 18 + 16 + 10

              = 44 units

Given the arithmetic sequence 2, -7, -16, -25, ..., determine the
general term tn.

Answers

Answer:

Step-by-step explanation:

Common difference is -9.

t_1 = 2

t_n = t_1 - (n-1)9

= t_1 - (9n - 9)

= 2 - (9n - 9)

= 11 - 9n

FIND the product
(5a³-3a²+8)(3a-4)​

Answers

i hope you will like it

Combine these radicals.






Anyone pls I need

Answers

Answer:

-26 sqrt(3)

Step-by-step explanation:

-12 sqrt(12) - 2 sqrt(3)

Rewriting

-12 sqrt(4*3) - 2 sqrt(3)

We know sqrt(ab) = sqrt(a)sqrt(b)

-12 sqrt(4)sqrt(3) - 2 sqrt(3)

-12 (2) sqrt(3) - 2 sqrt(3)

-24 sqrt(3) - 2 sqrt(3)

-26 sqrt(3)

Which angle number represents an angle adjacent to /EHD?

Answers

Angle 5. To read the angle EHD you start at point E, then go to H, then to D. So that angle is marked 6. And 5 is adjacent (next to) 6.

In the diagram, ∠5 is adjacent to ∠EHD.

Angle

Angles are formed when two rays intersect at a point. An angle is also formed when to lines intersect each other, thereby the two lines share a common endpoint.

Adjacent angles are two angles that have a common side and a common vertex (corner point). They are placed side by side to each other.

In the diagram, ∠5 is adjacent to ∠EHD.

Find out more on Angle at: https://brainly.com/question/25770607

Find the value of x for which l||m

Answers

Answer:

30 =x

Step-by-step explanation:

The angles are correcting angle and corresponding angles are equal when the lines are parallel

55 = x+25

Subtract 25 from each side

55-25 = x+25

30 =x

Answer:

x = 30

Step-by-step explanation:

The 55 degree angle is congruent with the angle of x

55* = m∠x

Step 1. Take the equation of x (x + 25*) and line it up with 55

(x + 25) = 55

Step 2. Solve by subtracting both sides by 25

x = 30

Angles 1 and 2 are supplementary. 2 lines intersect to form angles 1 and 2. Which equation represents the relationship between their measures?

Answers

Answer:

[tex]\angle 1 + \angle 2 = 180^o[/tex]

Step-by-step explanation:

Given

[tex]\angle 1[/tex] and [tex]\angle 2[/tex]

Required

The relationship between them [tex]\angle 1[/tex] and [tex]\angle 2[/tex]

From the question, we understand that [tex]\angle 1[/tex] and [tex]\angle 2[/tex] are supplementary

Supplementary angles add up to 180.

So, the relationship between [tex]\angle 1[/tex] and [tex]\angle 2[/tex] is:

[tex]\angle 1 + \angle 2 = 180^o[/tex]

How would I do this??

Answers

Part 1

[tex]\left(\frac{g}{h}\right)(x) = \frac{g(x)}{h(x)}\\\\\left(\frac{g}{h}\right)(x) = \frac{3x-5}{-2x^2+7}\\\\\left(\frac{g}{h}\right)(3) = \frac{3(3)-5}{-2(3)^2+7}\\\\\left(\frac{g}{h}\right)(3) = \frac{4}{-11}\\\\\left(\frac{g}{h}\right)(3) = -\frac{4}{11}\\\\[/tex]

Answer:  -4/11

====================================================

Part 2

Set the denominator function equal to zero and solve for x to find which values to kick out of the domain.

[tex]h(x) = 0\\\\-2x^2+7 = 0\\\\7 = 2x^2\\\\2x^2 = 7\\\\x^2 = 7/2\\\\x^2 = 3.5\\\\x = \sqrt{3.5} \ \text{ or } x = -\sqrt{3.5}\\\\[/tex]

This shows that if x is equal to either of those values, then the denominator h(x) will be zero. These are the values to kick out of the domain to prevent a division by zero error. Any other value of x is valid in the domain.

Answer: [tex]x = \sqrt{3.5} \text{ and } x = -\sqrt{3.5}\\\\[/tex]

A square has an area of 49 cm squared what is the length of each side

Answers

Answer:

7

Step-by-step explanation:

[tex]s = {a}^{2} \: thus \: a = \sqrt{s } = \sqrt{49} = 7[/tex]

The length of the of each side of square is 7

Please help…

As soon as possible..

Answers

Answer:  10pi

note: you may need to leave off the pi term if your teacher just wants to know what goes in the green box

======================================================

Work Shown:

C = 2*pi*r

C = 2*r*pi

C = 2*5*pi

C = 10pi

Use the box plots comparing the number of males and number of females attending the latest superhero movie each day for a month to answer the questions.

Two box plots shown. The top one is labeled Males. Minimum at 0, Q1 at 3, median at 10, Q3 at 15, maximum at 35. The bottom box plot is labeled Females. Minimum at 0, Q1 at 2, median at 6, Q3 at 9, maximum at 14, and a point at 31.

Part A: Estimate the IQR for the males' data. (2 points)

Part B: Estimate the difference between the median values of each data set. (2 points)

Part C: Describe the distribution of the data and if the mean or median would be a better measure of center for each. (4 points)

Part D: Provide a possible reason for the outlier in the data set. (2 points)
PLEASE HELP ME!!! IVE BEEN AVOIDING THIS FOR SO LONG

Answers

(a) The IQR for the males' data is 12, because Q3 is at 15 and Q1 is at 3.

(b) The difference between the median values of each data set is 4 because 10-6 = 4

(c) For the males' data, the median would be a better measure of center, since the data is skewed right. For the females' data, the mean would be a better measure of center, because the data is pretty balanced (except for the outlier).

(d) Maybe a superhero movie had their opening night one day of this month, which would explain the outlier.

In the right triangle ABC, angle A is 36 degrees.

Answers

Answer:

Step-by-step explanation:

Start with the Big 3. The Big three are the ones on your calculator. The other three are the reciprocals of the big 3.

Sin A = 0.5878

Cos A = 0.8090

Tan A = 0.7265

=============

Now for the reciprocals. I'll leave you to put them in the order that the question asks for.

Cot A = 1/ Tan(A) = 1/0.7265 = 1.3763

CSC A = 1/sin (A) = 1/0.5878 = 1.7013

SEC A = 1/ Cos(A) = 1/0.8090 = 1.236

The quantity of milk consumed in five households in a week is 10L.12.13 L. 11 L and
14 L Find the mean weekly consumption of milk by these bouseholds. Also find the number
of households whose consumption is more than the mean weekly consumption​

Answers

Answer:

12

Step-by-step explanation:

Add 10l to 12l to13l to11l to 14l=60l the divide 60l by the number of houses which will be 12 and there is your correct answer

If 4 tickets to a show cost $17.60, what is the cost of 7 such tickets.

Answers

Answer:

30.80

Step-by-step explanation:

We can use a ratio to solve

4 tickets              7 tickets

-------------------  = ----------------

17.60 dollars           x dollars

Using cross products

4x = 17.60 * 7

4x =123.2

Divide each side by 4

4x/4 = 123.2/4

x=30.8

find the angle measures given the figure is a rhombus.​

Answers

[tex] \large \tt{{❃ \: S \: O \: L \: U \: T \: I \: O \: N : }}[/tex]

A rhombus is a parallelogram in which all sides are equal i.e AB = BC = CD = CA

Let ∠ A be x. In the ∆ ABC , AB = AC which means they are isosceles triangle and we know the opposite angles of isosceles triangle are equal i.e ∠ A = ∠ C = x.

The sum of angles of a triangle is always 180°. Now , Find out the value of x :

[tex] \large{ \tt{❁ \:x + x + 98 = 180 \degree \: [ Sum\: of \: angle \: of \: a \: triangle ]}}[/tex]

[tex] \large{ \tt{⟶2x + 98 \degree= 180 \degree}}[/tex]

[tex] \large{ \tt{⟶ \: 2x = 180 \degree - 98 \degree}}[/tex]

[tex] \large{ \tt{⟶ \: 2x = 82 \degree}}[/tex]

[tex] \large{ \tt{ ⟶x = \frac{82 \degree}{2} }}[/tex]

[tex] \large{ \tt{⟶ \: x = 41 \degree}}[/tex]

The value of x is 41°. Now , Find the measure of ∠ 1 :

[tex] \large{ \tt{ ↔\angle \: 1 = x \degree = \boxed{41 \degree}}}[/tex] [ Being alternate angles ]

Hence , Our final answer is 41° .

- Alternate angles are the non-adjacent interiors pair of angles lying to the opposite side of a transversal when it intersects two straight line segments. Alternate angles form ' Z ' shape.

Hope I helped! Let me know if you have any questions regarding my answer. :)

find cosØ if sinØ=-12/13 and tanØ>0.

A) -5/12
B) -5/13
C) 12/5
D) -13/12

Answers

Answer:

-5/13

Step-by-step explanation:

sin theta = opp / hyp

sin theta = -12 /13

we can find the adj side by using the pythagorean theorem

adj^2 + opp ^2 = hyp^2

adj^2 +(-12)^2 = 13^2

adj^2 +144 =169

adj^2 = 169-144

adj^2 = 25

Taking the square root of each side

adj = ±5

We know that it has to be negative since it is in the third quad

adj = -5

cos theta = adj / hyp

cos theta = -5/13

Answer:

B) -5/13

Step-by-step explanation:

i hope it will help

plzz mark as brainliest if you want

Find a if ZB = 25°, ZC = 48°, AC = 5.

Answers

Answer:

11.3

Step-by-step explanation:

a = AC × sin(A)/sin(B)

Now <A =180-25-48 = 107

a = 5×sin(107)/sin(25)

a ≈ 11.3

Answered by GAUTHMATH

11.3 my man, math 4ever

Describe the steps to dividing imaginary numbers and complex numbers with two terms in the denominator?

Answers

Answer:

Let be a rational complex number of the form [tex]z = \frac{a + i\,b}{c + i\,d}[/tex], we proceed to show the procedure of resolution by algebraic means:

1) [tex]\frac{a + i\,b}{c + i\,d}[/tex]   Given.

2) [tex]\frac{a + i\,b}{c + i\,d} \cdot 1[/tex] Modulative property.

3) [tex]\left(\frac{a+i\,b}{c + i\,d} \right)\cdot \left(\frac{c-i\,d}{c-i\,d} \right)[/tex]   Existence of additive inverse/Definition of division.

4) [tex]\frac{(a+i\,b)\cdot (c - i\,d)}{(c+i\,d)\cdot (c - i\,d)}[/tex]   [tex]\frac{x}{y}\cdot \frac{w}{z} = \frac{x\cdot w}{y\cdot z}[/tex]  

5) [tex]\frac{a\cdot (c-i\,d) + (i\,b)\cdot (c-i\,d)}{c\cdot (c-i\,d)+(i\,d)\cdot (c-i\,d)}[/tex]  Distributive and commutative properties.

6) [tex]\frac{a\cdot c + a\cdot (-i\,d) + (i\,b)\cdot c +(i\,b) \cdot (-i\,d)}{c^{2}-c\cdot (i\,d)+(i\,d)\cdot c+(i\,d)\cdot (-i\,d)}[/tex] Distributive property.

7) [tex]\frac{a\cdot c +i\,(-a\cdot d) + i\,(b\cdot c) +(-i^{2})\cdot (b\cdot d)}{c^{2}+i\,(c\cdot d)+[-i\,(c\cdot d)] +(-i^{2})\cdot d^{2}}[/tex] Definition of power/Associative and commutative properties/[tex]x\cdot (-y) = -x\cdot y[/tex]/Definition of subtraction.

8) [tex]\frac{(a\cdot c + b\cdot d) +i\cdot (b\cdot c -a\cdot d)}{c^{2}+d^{2}}[/tex] Definition of imaginary number/[tex]x\cdot (-y) = -x\cdot y[/tex]/Definition of subtraction/Distributive, commutative, modulative and associative properties/Existence of additive inverse/Result.

Step-by-step explanation:

Let be a rational complex number of the form [tex]z = \frac{a + i\,b}{c + i\,d}[/tex], we proceed to show the procedure of resolution by algebraic means:

1) [tex]\frac{a + i\,b}{c + i\,d}[/tex]   Given.

2) [tex]\frac{a + i\,b}{c + i\,d} \cdot 1[/tex] Modulative property.

3) [tex]\left(\frac{a+i\,b}{c + i\,d} \right)\cdot \left(\frac{c-i\,d}{c-i\,d} \right)[/tex]   Existence of additive inverse/Definition of division.

4) [tex]\frac{(a+i\,b)\cdot (c - i\,d)}{(c+i\,d)\cdot (c - i\,d)}[/tex]   [tex]\frac{x}{y}\cdot \frac{w}{z} = \frac{x\cdot w}{y\cdot z}[/tex]  

5) [tex]\frac{a\cdot (c-i\,d) + (i\,b)\cdot (c-i\,d)}{c\cdot (c-i\,d)+(i\,d)\cdot (c-i\,d)}[/tex]  Distributive and commutative properties.

6) [tex]\frac{a\cdot c + a\cdot (-i\,d) + (i\,b)\cdot c +(i\,b) \cdot (-i\,d)}{c^{2}-c\cdot (i\,d)+(i\,d)\cdot c+(i\,d)\cdot (-i\,d)}[/tex] Distributive property.

7) [tex]\frac{a\cdot c +i\,(-a\cdot d) + i\,(b\cdot c) +(-i^{2})\cdot (b\cdot d)}{c^{2}+i\,(c\cdot d)+[-i\,(c\cdot d)] +(-i^{2})\cdot d^{2}}[/tex] Definition of power/Associative and commutative properties/[tex]x\cdot (-y) = -x\cdot y[/tex]/Definition of subtraction.

8) [tex]\frac{(a\cdot c + b\cdot d) +i\cdot (b\cdot c -a\cdot d)}{c^{2}+d^{2}}[/tex] Definition of imaginary number/[tex]x\cdot (-y) = -x\cdot y[/tex]/Definition of subtraction/Distributive, commutative, modulative and associative properties/Existence of additive inverse/Result.

3(-4x - 3) + 50 - 5= 0

Answers

Answer:

-12x-9+50-5=0

-12x+41-5=0

-12x+36=0

-12x=0-36

x= -36/-12

x = 3 Answer...

hope it helps

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

[tex]3(-4x - 3) + 50 - 5= 0[/tex]

⇒ Subtract 50- 5 from both sides:-

[tex]3\left(-4x-3\right)+50-5-\left(50-5\right)=0-\left(50-5\right)[/tex]

[tex]3\left(-4x-3\right)=-45[/tex]

⇒ Divide both sides by 3:-

[tex]\frac{3\left(-4x-3\right)}{3}=\frac{-45}{3}[/tex]

[tex]-4x-3=-15[/tex]

⇒ Add 3 to both sides:-

[tex]-4x-3+3=-15+3[/tex]

[tex]-4x=-12[/tex]

⇒ Divide both sides by -4:-

[tex]\frac{-4x}{-4}=\frac{-12}{-4}[/tex]

[tex]x=3[/tex]

OAmalOHopeO

The cube with side 2 is cut from the corner of rectangular prism with dimensions 4×3×5. Find the volume and total surface area of the new object.

Answers

Answer:

Volume: 52 Units Squared

Surface Area: 94 units.

Step-by-step explanation:

The volume is relatively simple to find. Just subtract the original volume by the 2x2x2 cube's volume. The original volume is 60. The cube's volume is 2x2x2 which is 8. 60-8=52.

The surface area is harder to find. Try to envision the corner of the rectangle being cut out. We see that each side of the cube has a surface area of 2x2 which is 4. In the picture, we see that three sides of the rectangle has been partially removed. But since each side of the cube has an equal surface area, it is safe to minus 3 of the sides that has been partially removed by 3. However, since that it is the corner, the "dent" that the cube made in the rectangle also needed to be counted. As we said, each of the sides of a cube has a surface area of 4, so since that the dent has 3 sides, we see that the surface area of the dent is 4x3 which is 12. Now we need to count the unaffected sides of the rectangle. There are three of them. Just multiply the edges to find the surface area of each side. Add all of the values up: 11+16+12+8+15+12+20=94 units.

Other Questions
A motorcycle moving with velocity and 30m/s accelerate with 4m/s2 to gain velocity of 6mls. calculate its time to gain that velocity Surface area of triangular prism the table of values below represents a liner function and show the amount of money in the savings account since she began her part-time job what is her monthly rate of savings Why was Praja Parishad formed in Nepal? Who were the foun Explain the contribution made by Ganeshman Singh in the den Explain the role of Girija Prasad Koirala in building peace in tl What was the role of Pushpa Lal Shrestha in strengthening the Why do we remember the martyrs? Who do you call a historical personality? Give a few examples COMMUNITY WORI rite a short biography of a political leader of your community. In t the y Please helpGiven O below, if XY and YZ are congruent, what is the measure of chord XY? HELP ASAP HOMEWORK FOR TMR!!!! Can someone please helpMe HELP ASAP Do you think that if a person if tried for a criminal crime that they should also be tried in a civil court as well? Why or why not? Rewrite the following sentences changing the direct object and the indirect object to their corresponding pronouns. 13. El chico canta la cancin a la novia.14. La madre cocina la cena para los nios.15. Decimos la verdad a los padres.16. Lleva la chaqueta a su amigo.17. Yo leo las cuentas a t. Which of the following options would be the best for dissolving PbBr2(s)?1) add to a solution of CH3COOH2) add to a solution of NaBr3) add to a solution of NH34) add to a solution of NH4Br5) add to a solution of NaOH Write down the conservation of momentum? Determine el radio vector del punto medio del segmento que se forma al unir los puntos (-8, 7) y (6, 3).Es para hoy 1. Is the figure defined by points H, I, J, and Ka rhombus? Laura makes a sound that 80.9 dB loud. Sarah makes a sound that is 3 time as intense. What is the loudness of Sarah's sound (in dB) Develop a hypothesis regarding one factor you think might affect the period of a pendulum or an oscillating mass on a spring. Potential factors include the mass, the spring constant, and the length of the pendulum's string. Write down your hypothesis. 2. Design a controlled experiment to test your hypothesis. Take extreme care to keep all factors constant except the variable you are testing. please help me with this Cho lc F =6x^3 i -4yj tc dng ln vt lm vt chuyn ng t A(-2,5) n B(4,7). Vy cng ca lc l: Light of the same wavelength passes through two diffraction gratings. One grating has 4000 lines/cm, and the other one has 6000 lines/cm. Which grating will spread the light through a larger angle in the first-order pattern The primary reason economists invoke the six assumptions of the perfect price competition model is because: A. To illustrate the possibility of monopoly in a free market. B. To illustrate the impossibility of monopoly in the free market. C. To tum scatter diagrams into continuous graphs with one market price. D. To tum the firms demand curve into the markets demand curve. E. To tum the ' law of demand ' into the ' law of suppl In the circle below, if < B = 46, what is the measure of arc AB?Select one:a. 23b. 46c. 92d. 112