What is the scale factor of abc to def

What Is The Scale Factor Of Abc To Def

Answers

Answer 1

Answer:

[tex]\large \boxed{\mathrm{B. \ 6}}[/tex]

Step-by-step explanation:

Length AB is similar to length DE.

Scale factor = DE/AB

Scale factor = 12/2

Scale factor = 6

Answer 2

The required Scale factor would be 6 to transform triangle ΔABC to triangle ΔDEF which is the correct option (B).

What is a scale image?

Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions of the actual figure or object.

Length AB is similar to length DE.

Here triangle ΔABC is dilated to form triangle ΔDEF

Length of the side DE = 12

Length of the side AB = 2

As we know scale factor is the ratio of sides in the original image and the image after dilation.

Scale factor = DE/AB

Substitute the values of the length of the side DE and AB,

Scale factor = 12/2

Apply the division operation, and we get

Scale factor = 6

Therefore, the required Scale factor would be 6 to transform triangle ΔABC to triangle ΔDEF.

Learn more about the Scale images here:

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Related Questions

Find the value of x. Round to the nearest tenth.Find the value of x. Round to the nearest tenth.

Answers

Answer:

x = 55.6

Step-by-step explanation:

In order to find the value of x we use sine

sin ∅ = opposite / hypotenuse

From the question

x is the hypotenuse

the opposite is 19

So we have

sin 20 = 19/x

x = 19/sin 20

x = 55.55

We have the final answer as

x = 55.6 to the nearest tenth

Hope this helps you

Answer:

x = 55.6

Step-by-step explanation:

A
Find the value of x. Your answer must be exact.
30
9

Answers

Tan30=9/x so it will be 9((3)^1/2)

Answer:

x = 9√3

Step-by-step explanation:

Since the figure above is a right angled triangle we can use trigonometric ratios to find x

To find x we use tan

tan∅ = opposite/ adjacent

From the question

The opposite is 9

The adjacent is x

Substitute the values into the above formula

That's

[tex] \tan(30) = \frac{9}{x} [/tex]

[tex]x \tan(30) = 9[/tex]

Divide both sides by tan 30

[tex]x = \frac{9}{ \tan(30) } [/tex]

We have the final answer as

x = 9√3

Hope this helps you

12x + 4y = 152 32x + 12y = 420 what is y?

Answers

Answer:

the value of x = 9  and y =11.

Given the system of equation:

12x + 4y =152                  .......[1]

32x + 12y = 420              ......[2]

Multiply equation [1] by 3 we get;

Using distributive property:  

            ......[3]

On solving equation [2] and [3] simultaneously we get;

x = 9

Substitute the value of x= 9 in [1] to solve for y;

108 + 4y = 152

Subtract 108 from both sides we have;

108 + 4y -108 = 152- 108

Simplify:

4y = 44

Divide both sides by 4 we get;

Simplify:

y= 11

therefore, the value of x = 9  and y =11.

The numbers in the select boxes are 4 7 and 3 I put them with the photos. Can someone help

Answers

Answer:

4:7

Step-by-step explanation:

4 grape candies : 7 total candies (grape + cherry)

Answer:

It is simply 4:3

ASAP!!!!!!!!! PLEASE help me with this question! This is really urgent! No nonsense answers please.

Answers

Answer: C) increase from 45 degrees to 50 degrees

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

Explanation:

Let's calculate the angle B based off the arcs CDF and GHJ

B = (far arc - near arc)/2

B = (arc CDF - arc GHJ)/2

B = (130 - 40)/2

B = 90/2

B = 45

----------

Now let's change GHJ to 30 degrees, while keeping the other arc the same.

B = (far arc - near arc)/2

B = (arc CDF - arc GHJ)/2

B = (130 - 30)/2

B = 100/2

B = 50

Angle B has increased from 45 degrees to 50 degrees.

in triangle ABC A-B= 15 degree, B-C= 30 degree find A,B,C

Answers

Answer:

A=80 , B=65, C=35

Step-by-step explanation:

A-B=15 ⇒A=B+15

B-C=30⇒-C=30-B ⇒C=B-30

the sum of angle of a triangle = 180

A+B+C=180 ( substitute A and C)

B+15+B+B-30=180

3B-15=180

3B=180+15

B=195/3=65

C=B-30 ⇒ C=65-30=35

A=B+15=65+15=80

check : A+B+C=180

             80+65+35=180 ( correct)

Ship Co. produces storage crates that require 1.2 meters of material at $.85 per meter and 01 direct labor hours at $15.00 per hour Overhead is applied at the rate of $9 per direct labor hour What is the total standard cost for one unit of product that would appear on a standard cost card?

Answers

Answer:

$3.42

Step-by-step explanation:

Meters of material required = 1.2 meters

Cost per meter of material = $0.85

Direct labor hours = 0.1

Cost of direct labor per hour = $15

Overhead rate = $9 per direct labor hour

Standard cost per unit of product :

(Direct material cost per unit + direct labor cost per unit + overhead cost per unit)

Direct material cost per unit :

Material needed × cost per meter = (1.2 × $0.85) = $1.02

Direct labor cost per unit :

Direct labor hour × cost per hour = ( 0.1 × $15) = $1.5

Overhead cost:

0.1 * $9 = $0.9

Standard cost :

($1.02 + $1.5 + $0.9) = $3.42

Victoria is scuba diving off the coast of Hawaii. When she is ready to come back to the surface, she rises 40 yards at a safe speed. She climbs 1 foot every 2 seconds. How many minutes will it take her to reach the surface?

Answers

Answer:

it will take her 79.76 minutes to rise to the surface

Step-by-step explanation:

Total distance to the surface = 40 yards

speed of rising = 1 foot per seconds

1 foot = 1 second

since the total distance is in yards, let's convert from foot to yards:

1 yard = 3 feet

1 foot = 1/3 yards = 0.333 yards

0.33 yards = 1 second

Next, let's convert from seconds to minutes

60 seconds = 1 minute

∴ 1 second = 1/60 minute

1 second = 0.0167 minute

Therefore the speed at which she rose:

speed

0.333 yards = 0.0167 minutes

Now for a distance of 40 yards:

[tex]1\ yard = \frac{0.0333}{0.0167} minutes\\\therefore\ 40\ yards = \frac{0.0333}{0.0167} \ \times\ \frac{40}{1} \\= \frac{1.332}{0.0167} \\= 79.76\ minutes[/tex]

Answer:

4 minutes

Step-by-step explanation:

Valerie invested $150 at the beginning of each quarter in stock XYZ.
According to the table below, which quarter would have been the optimal
investment period if she had chosen to invest her money as a lump sum?
XYZ
01
02
Q3
Stock Price
$12.75
$12.25
$11.50
$11.75
Q4
O A. Q4
O B. 03
O C. 01
D. Q2​

Answers

Answer:

Quarter 3

Step-by-step explanation:

The quarter that would have been the optimal investment period is the third quarter.

What is the optimal investment period?

Stocks gives its holders ownership right in a company. Stockholders are paid dividends in some periods.

The optimal investment period is the period when the stock price is the lowest. This is the third quarter.

To learn more about stocks, please check: https://brainly.com/question/27342287

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AB = 15, BC = 10, and CD= 7. Find the length DA.
451. Equilateral triangles BCP and CDQ are attached to the outside of regular pentagon
ABCDE. Is quadrilateral BPQD a parallelogram? Justify your answer.

Answers

Answer:

  451. No, the angles are wrong.

Step-by-step explanation:

450. AB = 15, BC = 10, and CD= 7. Find the length DA.

  This cannot be done without additional information about the sort of figure that ABCD is. If these are points on a line segment, we need to know their order. If these are points on a quadrilateral, we need to know its description in more detail.

If these are points ordered ABCD on a line, then AD = 15+10+7 = 32.

__

451. See the attached figure. BPQD is not a parallelogram: BCQ is not a straight line. (The internal angles of a pentagon are 108°, but would need to be 120° for BCQ to be a straight line, making BP parallel to DQ.) Instead, BPQD is an isosceles trapezoid.

*PLEASE ANSWER TY* What is the volume of this prism?

Answers

Answer:

80 cube units

Step-by-step explanation:

A television network is about to telecast a new television show. Before a show is launched, the network airs a pilot episode and receives a report assessing favorable or unfavorable viewer response. In the past, 60% of the network's shows have received a favorable response from viewers, and 40% have received an unfavorable response. If 50% of the network’s shows have received a favorable response and have been successful, and 30% of the network’s shows have received an unfavorable response and have been successful, what is the probability that this new show will be successful if it receives a favorable response? A. 0.41 B. 0.53 C. 0.67 D. 0.70 E. 0.83

Answers

Let's first denote:

F - a favorable response

F' - an unfavorable response

S - successful

We know that:

[tex]P(F) = 0.6\\\\P(F')=0.4\\\\P(F\cap S)=0.5\\\\P(F'\cap S)=0.3[/tex]

So, from the conditional probability, we can calculate:

[tex]P(S|F) = \dfrac{P(S\cap F)}{P(F)} = \dfrac{0.5}{0.6}=\dfrac{5}{6}\approx\boxed{0.83}[/tex]

Answer E.

Answer:

E IS CORRECT

Step-by-step explanation:

Can someone help me find the domain and range of this graph

Answers

Answer:

Domain = x - values

Range = y - values

Step-by-step explanation:

main points I'll use as examples for the rest on graph are: (-3,4) (1,2) and (1,6)

Domain: simple numbers here are {-3,1} dont repeat the same x value twice!

Range: {2,4,6}

Make sure values are in numerical order.

Find the rest by these three points! (Which are on graph)

Hope this helps, have a good day :)

Answer:

try 2

Step-by-step explanation:

because it an X-value and it on the graph

Determine if the following table represents a quadratic function.
x 1 2
3 4 5
y 13 22 37 58 85
(1 point)​

Answers

Answer:

The options are not visible enough (See Explanation)

Step-by-step explanation:

Given

x:-  1   || 2   || 3   || 4   || 5

y:-  13 || 22 || 37 || 58 || 85

Required

Determine if the function is quadratic

Calculate the difference between the values of y

[tex]Difference = 22 - 13 = 9[/tex]

[tex]Difference = 37 - 22 = 15[/tex]

[tex]Difference = 58 - 37 = 21[/tex]

[tex]Difference = 85 - 58 = 27[/tex]

The resulting difference are: 9 || 15 || 21 ||  27

Next; Calculate the difference between the difference of values of y

[tex]Difference = 15 - 9 = 6[/tex]

[tex]Difference = 21 - 15 = 6[/tex]

[tex]Difference = 27 - 21 = 6[/tex]

The resulting difference are: 6 || 6 || 6

For the function to be quadratic, the above difference must be the same and since they are the same (6), then the function represents a quadratic function.

ANSWER QUICKLY PLZZZZZZ ASAP ​

Answers

Answer:

number 4 on edge

Step-by-step explanation:

Answer:

a. 92 minutes b. 7:56am

Step-by-step explanation:

He should leave at 7:56 so he gets to the bus at 8:05,

he gets to Coventry at 9:37 with enough time to walk 12 minutes to get to work before 10am.

the king needs a 10th graders help DX

Answers

Answer:

12) 1/8 inch =  0.125 inch

    = 0.003175 m

    = 3.175 x 10-3 m

    = 0.3175 cm

13) 2 is rational and  π  is  irrattional.  π   is approximately   3.14 and is the bigger of two

14) C= 40,005,306.33 m

  = 4.0005 x 107 m

15)  12,615,800,000

= 1.26158 x 1010

=126158 x 105

16) Let's take speed of ant as 1Km/h=1000m/h. Then time 1666.875 days

Step-by-step explanation:

Sakura solved a fraction division problem using the rule "multiply by the reciprocal." Look at her work. 7 ÷ 2/ 5 1/ 7 × 2/ 5 = 2/35 Did she solve the problem correctly?

Answers

Answer:

D. No. She multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.

Step-by-step explanation:

A. Yes. She solved the problem correctly.

B. No. She multiplied the dividend by the divisor instead of finding the reciprocal.

C. No. She multiplied the denominators instead of finding a common denominator.

D. No. She multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.

Her workings

7 ÷ 2/ 5

=1/ 7 × 2/ 5

= 2/35

Dividend=7

Divisor=2/5

The correct working

7 ÷ 2/ 5

=7 × 5/2

=35/2

Answer:

D

Step-by-step explanation:

I got an 100% on the quiz I took with this question :)

Hope I could help good luck on passing!!

Hello, quick question how do I order 7.2, 7.21, 7.083 to least to greatest? Thank you so much!

Answers

Step-by-step explanation:

7.083, 7.2,and 7.21

This should be the answer

(x-yi)(3+5i) is the conjugate of 6+24i

Answers

Answer:

x=-3

y=3

(-3-3i)(3+5i)

Step-by-step explanation:

[tex](x-yi)(3+5i)\\=3x+5xi-3yi+5y\\=(3x+5y)+(5x-3y)i\\[/tex]

and we have that must equal

6-24i

3x+5y=6

5x-3y=-24 and if we work it we found out that the solutions are

x=-3 and

y=3

Find the area. Round to the nearest tenth.
6 in.
5 in.
9 in.
in.

Answers

Answer:

131 1/4 in.²

Step-by-step explanation:

To find the area of the figure, you would have to divide the figure into two parts.  The figure can be divided into two rectangles.

Rectangle 1

The length is 11 3/4 in.  The width is 6 in.

A = lw

A = (11 3/4 in.)(6 in.)

A = 70 1/2 in.²

Rectangle 2

The length is 9 in.  The width is 6 3/4 in.

A = lw

A = (9 in.)(6 3/4 in.)

A = 60 3/4 in.²

Add the two areas together.

70 1/2 in.²  +  60 3/4 in.²  =  131 1/4 in.²

What are the dimensions of the matrix?

Answers

The order of a matrix is m×n where m is the number of rows and n is the number of columns.

can you count and find what are m and n here?

Answer:

Step-by-step explanation:

Number of rows X Number of columns

Rows = 3

Columns = 2

answer = 3x2

PLEASE HELP ME Answer the following two questions in your own words: 1. Why can I divide instead of distribute? Why is that allowed? Ex. why can I divide by 6 in 6(3x + 4) = 12 instead of distribute the 6? 2. When creating common denominators, why do I have to multiply the numerator AND the denominator? Ex. why do I have to multiply 1 by 5 AND 2 by 5 when adding 1/2 + 3/10?

Answers

Answer:

1. You can divide both sides of an equation by any number except zero. If dividing both sides simplifies the equation, then it's better to do than than to distribute.

2. A fraction can be thought of as a ratio. To keep the value of the fraction the same, you must multiply or divide the numerator and denominator by the same number. If you multiply only the denominator by a number, the value of the fraction changes.

Step-by-step explanation:

1.

6(3x + 4) = 12

Since the goal in solving this equation is to isolate x, meaning you want x alone on the left side, you need to do whatever legal operations that will accomplish that. Since 6 is a factor and (3x + 4) is a factor in a multiplication, you can divide both sides by 6 simplifying the left side. It is also correct to distribute on the left side, but it will make the solution longer.

Method 1: start by dividing both sides by 6

6(3x + 4) = 12

Step 1: Divide both sides by 6

3x + 4 = 2

Step 2: Subtract 4 from both sides

3x = -2

Step 3: Divide both sides by 3

x = -2/3

Method 2: start by distributing on the left side

6(3x + 4) = 12

Step 1: distribute the 6 on the left side

18x + 24 = 12

Step 2: subtract 24 from both sides

18x = -12

Step 3: divide both sides by 18

x = -12/18

Step 4: reduce the fraction

x = -2/3

As you can see, the solution is the same. The only difference is one extra step with the reduction  of the fraction in the case of distributing the 6.

2.

This has to do with the meaning of fractions.

For example, take the fraction 1/2.

This fraction means that you divided the unit into 2 equal parts, shown by the denominator of 2. Then you are taking 1 of those parts, shown by the numerator of 1. 1/2 means 1 out of 2. You can also think of 1/2 as the ratio of 1 to 2.

To add and subtract two factions, we need a common denominator. That means we must rewrite one or both fractions being added or subtracted in a way that they both have the same denominator. We need the fractions to represent the same amounts they did originally. If you changed only the denominator, you'd be changing the actual value of the fraction.

You need to add 1/2 and 3/10.

The least common denominator of 2 and 10 is 10, so we need to have both fractions with a denominator of 10. 3/10 already has a denominator of 10, so we just need to change 1/2 to a fraction with 10 in the denominator. By multiplying 2 by 5 we get 10, so we need to multiply the denominator of 1/2 by 5 to end up with a denominator of 10.

1/2 + 3/10

If you only changed the denominator of 1/2 to 10 by multiplying 2 * 5 = 10, you'd end up with

1/10 + 3/10,

but now think of the fraction 1/10 and compare it to 1/2.

1/2 means divide the unit into 2 equal parts and take 1 part.

1/10 means divide the unit into 10 equal arts and take 1 part.

1/2 is not the same as 1/10, so rewriting the addition

1/2 + 3/10 as 1/10 + 3/10 is actually changing the problem.

Now see what happens when we multiply both the numerator and denominator by the same number, in this case 5.

We change 1/2 to (1 * 5)/(2 * 5) = 5/10. 1/2 equals 5/10. If you divide a unit into 10 equal parts and you take 5 parts, you have taken the same number of parts as if you had divided the unit into 2 parts and taken 1 part.

In other words, 1/2 is exactly the same amount as 5/10. The only difference between 1/2 and 5/10 is the way they are written.

Now we can correctly continue with the addition:

1/2 + 3/10 = 5/10 + 3/10 = 8/10

Finally we reduce 8/10 to 4/5 by dividing both the numerator and denominator by 4.

Please answer this question now

Answers

Answer:

54 degrees

Step-by-step explanation:

Measure of arc DCB is 125*2 = 250.

So, measure of arc BAD is 360-250 = 110.

So, measure of arc AD is 110 - 56 = 54 degrees

Describe how to solve an absolute value equation
*will give brainliest*

Answers

Answer:

Step 1: Isolate the absolute value expression.

Step2: Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation.

Step 3: Solve for the unknown in both equations.

Step 4: Check your answer analytically or graphically.

Step-by-step explanation:

Answer:

Rewrite the absolute value equation as two separate equations, one positive and the other negative

Solve each equation separately

After solving, substitute your answers back into original equation to verify that you solutions are valid

Write out the final solution or graph it as needed

Step-by-step explanation:


If triangle ABC, m B = 90°, cos(9 = 17, and AB = 16 units.
Based on this information, m Note that the angle measures are rounded to the nearest degree.
units.

Answers

Answer:

m∠A = 62°

m∠C = 28°

AC = 17 units

Step-by-step explanation:

In the given triangle ABC,

m∠B = 90°, Cos(C) = [tex]\frac{15}{17}[/tex] and AB = 16 units

Since, Cos(C) = [tex]\frac{\text{Corresponding side}}{\text{Hypotenuse}}[/tex]

Cos(C) = [tex]\frac{\text{Corresponding side}}{\text{Hypotenuse}}=\frac{15}{17}[/tex]

[tex]\text{C}=\text{Cos}^{-1}(\frac{15}{17})[/tex]

m∠C = 28.07°

m∠C ≈ 28°

Therefore, side BC = 15 units and AC = 17 units

Now we apply Sine rule in the given triangle.

Sin(A) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

         = [tex]\frac{\text{BC}}{\text{AC}}[/tex]

         = [tex]\frac{15}{17}[/tex]

A = [tex]\text{Sin}^{-1}(\frac{15}{17} )[/tex]

A = 61.93°

m∠A = 62°

The graph below shows the solution to which system of inequalities ?

Answers

Answer:

A

Step-by-step explanation:

A dotted line means its either greater than or less than. A undotted line means its also equal to the number aswell.

To find the right answer all you need is the first part because y has to be greater than or equal to 2 as shown from the graph. So the answer has to be A. As it is the only one that shows this.

Olivia has 4 2/3 yards of fabric to make scarves. She needs 3/4 yards for one scarf. How many
scarves can she make?​

Answers

Answer:

6 scarves

Step-by-step explanation:

So we know that 3/4 yd. = 1 (scarf)

We have 4 2/3 material to make the scarves

=> convert to an improper fraction 4 2/3 = 14/3

=> Divide material by needed amt.

=> 14/3 / 3/4 = 14/3 x 4/3

=> 14/3 x 4/3 = 56/9

56/9 = 6 2/9

But 6 2/9 is not our answer. Since we need a full amt. of scraves, we round down to our final answer of 6 scarves.

Hope this helps!

The roots of the quadratic equation x^2/a^2-b^2=a+b/a-b are

Answers

Answer: x = a - b and x = -a - b

Explanation:

x^2/ a^2 - b^2 = a+b/a-b
x^2/(a-b)(a+b) = a+b/a-b
x^2 = a+b/a-b x (a-b)(a+b)
x ^2 = (a+b)^2
x^2 - (a+b)^2 = 0
(x - a + b)(x + a + b) = 0

Set x - a + b = 0
x = a - b

Set x + a + b = 0
x = - a - b

Hope this helps!

What is the slope of line p?
HURRY PLEASE

Answers

Answer:

2/3

Step-by-step explanation:

(3,2) and (0,0)

The slope of the line is given by

m = (y2-y1)/(x2-x1)

   = (2-0)/(3-0)

 2/3

The volume of air in a balloon is represented by the function v(n) = ne?, where r is the radius of the balloon, in
inches. The radius increases with time, in seconds, by the function -1) = 4,2. Which statements are true? Check all
that apply
When V is composed with r, the composite function is
mt
48
When V is composed with r, the composite function is
is u216.
V(r(6)) shows that the volume is 9724 in. when the radius increases to 6 inches
V[r(8)) shows that the volume is 16384 7 in.) when the radius increases to 16 inches.
3
The domain of V(t) is all real numbers.

Answers

Answer:

When V is composed with r, the composite function is StartFraction 1 Over 48 EndFraction pi t Superscript 6

V(r(6)) shows that the volume is 972π inches cubed when the radius increases to 6 inches.

Step-by-step explanation:

Answer:

1 and 3 on edge

Step-by-step explanation:

Other Questions
Describe the pathophysiology Consider the equation: 12x=13-x^212x=13x 2 12, x, equals, 13, minus, x, squared 1) Rewrite the equation by completing the square. Your equation should look like (x+c)^2=d(x+c) 2 =dleft parenthesis, x, plus, c, right parenthesis, squared, equals, d or (x-c)^2=d(xc) 2 =dleft parenthesis, x, minus, c, right parenthesis, squared, equals, d. 2) What are the solutions to the equation Please help! Algebra 2!! COMPUTE3 ( 2 1/2 - 1 ) + 3/10 In 2006, Gap Inc. ended their relationship with 23 production facilities due to code violations. Several closings occurred because of the use of child labor. In response to these events the Gap created a large team whose purpose is to travel worldwide to ensure compliance with their Code of Vendor Conduct. This is an example of The accommodation limits for a nearsighted person's eyes are 20.0 cm and 82.0 cm. When he wears his glasses, he can see faraway objects clearly. 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Which symptom of Groupthink (Irving Janis) may your team be displaying Help me solve this!!! restore and maintain the security of the North Atlantic area."Article 5, NATO Treaty; April 4, 1949 What does Article 5 of the NATO Treaty promise? Group of answer choices that it is necessary to attack Communist nations allowing USSR to join NATO mutual defense of member nations that if a NATO nation is attacked they will be on their own Can someone please help me with both of these questions ? The movement of the progress bar may be uneven becouse questions con be worth more or less including zero) depending on your answerThe following sentence contains faulty parallel structure:Potatoes are my favorite vegetable because they can be eaten in so many delicious ways such as fries, mashed with butter, and bakedwith cheese and bacon.Which revision corrects the structure?Potatoes are my favorite vegetable because they can be eaten in so many delicious ways such as fried, then mashed with butter, andfinally baked with cheese and bacon.Potatoes are my favorite vegetable because they can be eaten in so many delicious ways such as fries, mashes with butter, and bakeswith cheese and bacon.Potatoes are my favorite vegetable because they can be eaten in so many delicious ways including fries, or mashed with butter, orbaked with cheese and bacon.Potatoes are my favorite vegetable because they can be eaten in so many delicious ways such as fried, mashed with butter, and bakedwith cheese and bacon. A variety of two types of snack packs are delivered to a store. The box plots compare the number of calories in each snack pack of crackers to the number of calories in each snack pack of trail mix. A number line goes from 65 to 115. Crackers's whiskers range from 70 to 100, and the box ranges from 75 to 85. A line divides the box at 80. Cookies's whiskers range from 70 to 115, and the box ranges from 90 to 105. A line divides the box at 100. Which statement is true about the box plots Calculate the Schwarzschild radius (in kilometers) for each of the following.1.) A 1 108MSun black hole in the center of a quasar. Express your answer using two significant figures.2.) A 6 MSun black hole that formed in the supernova of a massive star. Express your answer using two significant figures.3.) A mini-black hole with the mass of the Moon. Express your answer using two significant figures.4.) Estimate the Schwarzschild radius (in kilometers) for a mini-black hole formed when a superadvanced civilization decides to punish you (unfairly) by squeezing you until you become so small that you disappear inside your own event horizon. (Assume that your weight is 50 kg.) Express your answer using one significant figure. A firm has a debt-to-equity of 0.69 and a market-to-book ratio of 3.0. What is the ratio of the book value of debt to the market value of equity? Beyer Company is considering the purchase of an asset for $190,000. It is expected to produce the following net cash flows. The cash flows occur evenly within each year. Year 1 Year 2 Year 3 Year 4 Year 5 Total Net cash flows $50,000 $31,000 $60,000 $140,000 $30,000 $311,000 Compute the payback period for this investment.