Mr. Smith plans to build a 3-foot-wide walkway

around the outside of the cabin, as shown in the floor

plan. What will be the area, in square feet, of the top

surface of the walkway?

A. 171

B. 324

360

396

720

Answers

Answer 1

Answer:

360

Step-by-step explanation:

Answer 2

The area of the top surface of rectangular cabin walkway is given by the equation A = 360 feet²

What is the Area of a Rectangle?

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangular cabin be represented as A

Now , the initial length of the cabin = 30 feet

The initial width of the cabin = 24 feet

And , Mr. Smith plans to build a 3-foot-wide walkway around the outside of the cabin

So , the increased length of the rectangular cabin = 30 + 6 = 36 feet

The increased width of the rectangular cabin = 24 + 6 = 30 feet

Now , Area of Rectangle = Length x Width

Substituting the values in the equation , we get

Area of rectangular cabin A = 36 x 30

Area of rectangular cabin A = 1080 feet²

Now , the area of the cabin before increment of sides = 24 x 30

The area of the cabin before increment of sides = 720 feet²

So , the area of the walkway = 1080 - 720 = 360 feet²

Area of rectangular cabin walkway A = 360 feet²

Hence , the area of the rectangular cabin walkway is 360 feet²

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Related Questions

5. The length of a rectangle is 5 inches greater than the width.
Question
Answer
a. Write an expression for the width of the rectangle.
b. Write an expression for the length of the rectangle.
multiply

Answers

Answer:

see below

Step-by-step explanation:

Let w = width

L = length = w+5

The area is l*w

A = (w+5)*w

A = w^2 +5w

Will give brainliest answer

Answers

Answer

Step-by-step explanation:

To find the area of a shape multiply its height by its width. For a square  you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

please mark me as brainliest.

Answer:

[tex]7 units^2[/tex]

Step-by-step explanation:

You can split this irregular shape into a square and a trapezoid.

The formula for a square is:

[tex]A=lw[/tex]

The formula for a right trapezoid:

[tex]A=\frac{1}{2} (h)(a+b)[/tex]

Area of square:

[tex]A=(2)(2)\\A=4[/tex]

Area of right trapezoid:

[tex]A=\frac{1}{2} (2)(1+2)\\A=3[/tex]

Add up the individual areas to find the overall:

4 + 3 = 7

Hey guys I need help with this exercise can someone plz help me for 20 points?? Also write the explamation to your answer plzz!

Math problem: 13 of the same cookbooks weigh 442 grams. What is the weight of 10 of these books?

Answers

Answer:

340

Step-by-step explanation:

442 / 13 = 34

34 × 10 = 340

Answer:

340

Step-by-step explanation:

442 / 13 = 34

34 × 10 = 340

What is the equation of the line passing through the points (-2, 2) and (3,-1)?
A.
5
y=--x+ -
3 3
4
B.
C.
y = x-4
3 4
y=-*+-
5 5
D
y = -3x + 8

Answers

Answer:

Step-by-step explanation:

+ Because of " the line passing through the points (-2, 2) and (3,-1)", that means this line has its equation y = ax + b where

[tex]a=\frac{2-(-1)}{-2-3} =\frac{2+1}{-5} =-\frac{3}{5}[/tex]

So we write its equation: y = -3/5 x + b.

+ Then, now, we replace x = -2 and y = 2 into y = -3/5 x + b for finding b like:

2 = -3/5 * (-2) + b or 2 = 6/5 + b

so b = 2 - 6/5 = 4/5.

And this line has its equation: y = -3/5 x  + 4/5.

Mẹthod 2:

we have a formule for a line that passes 2 points [tex](x_{0},y_{0}) , (x_{1},y_{1}) ,x_{0}\neq x_{1}[/tex]

Here is: [tex]\frac{x-x_{0} }{x_{1}-x_{0} } = \frac{y-y_{0} }{y_{1}-y_{0} }[/tex]

Then, we can write for this case:

[tex]\frac{x-(-2)}{3-(-2)} =\frac{y-2}{-1-2} \\\frac{x+2}{5} =\frac{y-2}{-3} \\-3(x+2) = 5( y-2)\\-3x-6=5y-10\\3x+5y-4=0\\or\\y=-\frac{3}{5}x+\frac{4}{3}[/tex]

P.S: You type wrongly the signs?

100 points!

The following data shows the weight, in pounds, of 6 boxes:

5, 3, 3, 4, 5, 4

What is the value of the mean absolute deviation of the weight of the boxes, and what does it represent about the weight of a box?

A))1.2 pounds; on average, the weight of a box varies 1.2 pounds from the mean of 4 pounds

B))0.7 pound; the weight of 50% of the boxes is greater than 0.7 pound

C)) 1.2 pounds; the weight of 50% of the boxes is greater than 1.2 pounds

D))0.7 pound; on average, the weight of a box varies 0.7 pound from the mean of 4 pounds

Answers

Answer:

The answer is D. Let me know if you don't understand that.

Step-by-step explanation:

Hi!

To find the Mean Absolute Deviation (MAD) of the weight of the boxes, first find the mean.

5 + 3 + 3 + 4 + 5 + 4 = 24

24/6 = 4

Now find the absolute distance from the mean for each of the numbers by subtracting the mean from each of the numbers. It doesn't matter if it's negative.

5 - 4 = 1

3 - 4 = 1

3 - 4 = 1

4 - 4 = 0

5 - 4 = 1

4 - 4 = 0

Now find the mean of those numbers.

1 + 1 + 1 + 0 + 1 + 0 = 4

4/6 = 0.7

So now we know the answer is either B or D.

B. 0.7 pound; the weight of 50% of the boxes is greater than 0.7 pound

D. 0.7 pound; on average, the weight of a box varies 0.7 pound from the mean of 4 pounds

Hope this helps! :)

-Peredhel

The value of the mean absolute deviation of the weight of the boxes is 0.7 pounds

Option D is the correct answer.

What is a mean?

It is the average value of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

We have,

To find the mean absolute deviation, we first need to find the mean weight of the boxes:

Mean = (5+3+3+4+5+4)/6 = 24/6 = 4 pounds

Next,

We calculate the absolute deviations from the mean for each weight:

So,

|5-4| = 1

|3-4| = 1

|3-4| = 1

|4-4| = 0

|5-4| = 1

|4-4| = 0

Then,

We find the mean of the absolute deviations:

(1+1+1+0+1+0)/6 = 4/6 = 0.67 = 0.7

This means that on average, the weight of a box varies by 0.7 pounds from the mean weight of 4 pounds.

Therefore,

The value of the mean absolute deviation of the weight of the boxes is 0.7 pounds (rounded to one decimal place).

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The radius of the earth is 3959 miles. A meteor with a diameter of 750 miles strikes the earth in an unpopulated area. What percent of the earths surface is affected by the meteor strike? Is it a 36% be 0.9% C9% or D3.6%

Answers

Answer:

B. 0.9%

Step-by-step explanation:

If the diameter of the meteor is 750 miles, then its radius is 750/2 = 375 miles

The radius of the earth is 3959 miles

Assuming that both bodies are spherical, their surface are:

meteor's surface: π*r² = π*375² = 441786.467 miles²

Earth's surface: π*3959² = 49240321.1 miles²

If 49240321.1 miles² represents 100% then 441786.467 miles² represents:

49240321.1 miles² / 100% = 441786.467 miles² / x%

x = 441786.467/49240321.1*100

x = 0.9%

Answer:

B) 0.9%

Step-by-step explanation:

The value of which of these expressions is closest to e?
A. (1+1/19)^19
B. (1+1/22)^22
C. (1+1/20)^20
D. (1+1/21)^21

Answers

Answer:

B.

Step-by-step explanation:

Given: expressions

To find: the expression whose value is closest to e

Solution:

Value of e is 2.718

[tex]\left ( 1+\frac{1}{19} \right )^{19}=\left ( \frac{20}{19} \right )^{19}=2.65\\\left ( 1+\frac{1}{22} \right )^{22}=\left ( \frac{23}{22} \right )^{22}=2.659\\\left ( 1+\frac{1}{20} \right )^{20}=\left ( \frac{21}{20} \right )^{20}=2.653\\\left ( 1+\frac{1}{21} \right )^{21}=\left ( \frac{22}{21} \right )^{21}=2.656[/tex]

Therefore, value 2.659 is closest to the value of e.

So, option B. is correct.

Answer:

B

Step-by-step explanation:

x ≥ 63.4

x ≤ 96.6

x ≤ 63.4

x ≥96.6

Answers

Answer:

x ≤ 63.4

Step-by-step explanation:

.25x+4.15 ≤20

Subtract 4.15 from each side

.25x +4.15 -4.15 ≤ 20-4.15

.25x ≤ 15.85

Divide each side by 15.85

.25x/.25 ≤ 15.85/.25

x ≤ 63.4

please help me out! i have a few more of these questions, about 4

Answers

Step-by-step explanation:

You can make a table of values to find the points that belong to the line and then draw the line through those points. Here are some: (-6, -2), (0, -1), and (6, 5). You can use any value for x in your table. Hope this helps!

Answer:

Step-by-step explanation:

put a point in at negative 1 first; that is the y value.

Then, go up 1 then to the right six points. that should result in the next point being at (0,6).

Keep going and draw a line

Samira is playing a game with the spinner shown. a. What is the theoretical probability that the pointer will land in a section labeled with the letter A on a given​ spin? Enter as a fraction. b. Predict how many times the pointer will land in a section labeled with the letter A after 300 spins. J J O S H U A A K E a. The theoretical probability that the spinner will land on a section labeled A is . ​(Type an integer or a simplified​ fraction.)

Answers

Answer:

A. 1/5

B. 60 times

Step-by-step explanation:

The theoretical probability that the pointer(a) is 1/5 and the pointer will land in a section labeled with the letter A after 300 spins (b) is 60

We have given that the Samira is playing a game with the spinner shown.

We have to deterine the theoretical probability that the pointer will land in a section labeled with the letter A on a given​ spin.

What is the probability of spinner?

This probability is equal to the amount of '1's divided by the total amount of numbers on the spinner.

Thus,The theoretical probability that the spinner is 1/5.

and also the pointer will land in a section labeled with the letter A after 300 spins.

Therefore we get,

[tex]1/5\times 300/1=300/5=60[/tex]

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In Circle C, EA and FB are diameters. Identify the following Two major arcs.

Answers

Answer:

See explanation

Step-by-step explanation:

Two major arcs:

[tex] \widehat {EAB}, \:\:\widehat {FAD}[/tex]

Two minor arcs:

[tex] \widehat {EF}, \:\:\widehat {AB}[/tex]

Twenty-four 4-inch wide square posts are evenly spaced with 5 feet between adjacent posts to enclose a square field, as shown. What is the outer perimeter, in feet, of the fence? Express your answer as a mixed number.

Answers

Answer:

129 1/3

Step-by-step explanation:

According to Alcumus, "There are 20 square posts which are not on a corner, so there are $20/4=5$ square posts on each side, not including the corner posts. Including the corner posts, there are 7 posts on a side, which means that there are 6 five-foot gaps between posts. Altogether the length of a side is $7\left(\frac{1}{3}\right)+6(5)=32\frac{1}{3}$ feet. The perimeter of the square is four times the side length, so the perimeter is $4\cdot 32\frac{1}{3}=\boxed{129\frac{1}{3}}$ feet."

The outer perimeter is 129 1/3 feet.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For Example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Twenty-four 4-inch wide square posts are evenly spaced with 5 feet.

So, there are $20/4

                   =5$ square posts on each side, not including the corner posts.

and, including the corner posts, there are 7 posts on a side, which means that there are 6 five-foot gaps between posts.

Then, the length of a side is

= 7 1/3 + 6(5)

= 32 1/3 feet

and, The perimeter of the square

= 4 x 32 1/3

= 129 1/3 feet

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this box holds cereal. how many cubic inches of cereal can it hold the size of the box is 6 in,2 in,12 in

Answers

If you multiply all three of those numbers you should get 144 cubic inches.

What positive value of x makes the following equation true: x^2 = 289? Expain

Answers

Answer:

17

Step-by-step explanation:

17x17= 289

Answer:

The square root of 289 is also 17.

Step-by-step explanation:

What is example of natural numbers

Answers

Answer:

1, 2, 3, and so on are natural numbers.

Step-by-step explanation:

A 4-pound bag of apples costs $5.00. Based on that rate, which equation shows how y, the cost in dollars, is realted to x, the weight in pounds?


y = x - 1

y = 1.25x

y = 0.8x

y = x + 1

Answers

Hey there!

The answer would be B. y = 1.25x

If each pound is $1.25 and you get 4 pounds then that would equal to $5.00 or y.


Hope this helps !

y = 1.25 x equation shows the  correct relation of x

What is linear graph?

Linear graph is represented in the form of a straight line. To show a relationship between two or more quantities we use a graphical form of representation.

According to the question,

Cost of apples, y, varies directly with pounds

of apples purchased, x.

y = k. x

k is constant of proportion

Four pounds of apples cost $5

5 = 4. k

k = 5/4 = 1.25

As it should be, k is a constant equal to 1.25

y = 1.25 x  for 4 pounds of apples

Hence, y = 1.25 x equation shows the  correct relation of x

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What is the perimeter of this rectangle? Will mark brainliest.

Answers

Answer:It's C, 425 ft.

Step-by-step explanation:

You multiply 17 ft. by 25 ft.

Answer:

84 feet

Step-by-step explanation:

there are 4 sides: 17 feet, 17 feet, 25 feet, and 25 feet

to get perimeter you add all the sides together. 17+17=34 then 25+25=50. 50+34=84.

therefore 84 feet is your answer.

Juanito looked out the window and saw 20 bicycles and skateboards. There were a total 52 wheels. How many of each did he see , steps ?

Answers

Answer:

Let's denote:

x: number of bicycles

y: number of  skateboards

Then, we have:

x + y = 20

2x + 4y = 52

=> 2(20 - y) + 4y = 52

=> 2y = 12

=> y = 6 (number of skateboards)

=> x = 14(number of bicycles)

Hope this helps!

:)

Which of the following statements is not true?

Answers

i think B isn’t true

Use the grouping method to factor the polynomial below completely.
3x3 + 9x2 + 4x + 12
O A. (3.2 + 4)(x+4)
O B. (3x2+3)(x + 4)
O c. (3x2 + 4)(x+3)
O D. (3x + 3)(x+3)​

Answers

Answer:

C. (3x^2+4)(x+3)

Step-by-step explanation:

3x^3+9x^2+4x+12

=(3x^3+9x^2)+(4x+12)

=3x^2(x+3)+4(x+3)

=(3x^2+4)(x+3)

Therefore, C. (3x^2+4)(x+3)

The correct factor of the polynomial is,

⇒ (x + 3) (3x² + 4)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ 3x³ + 9x² + 4x + 12

Now, We can factor the polynomial as;

⇒ 3x³ + 9x² + 4x + 12

⇒ 3x² (x + 3) + 4 (x + 3)

⇒ (x + 3) (3x² + 4)

Thus, The correct factor of the polynomial is,

⇒ (x + 3) (3x² + 4)

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Event A: stops on red

Event B: stops on yellow

Find P(A or B)

A.) 1/4
B.) 1/8
C.) 1/2
D.) 1/16

Answers

Answer:it is 1/2

Hopefully this helps

Answer:

Event A: stops on red

Event B: stops on yellow

Find P(A or B)

1/2

5(x-10)=30-15x
Ox=1
Ox=4
Ox=5
Ox=8

Answers

Answer:

x = 4

Step-by-step explanation:

5x-50=30-15x

5x +15x =30+50

20x= 80

Divide both sides of the equation by 20

x = 4

I hope it helps

Which situation is most likely to have a constant rate of change?
A. The total amount paid for gas compared with the number of
gallons purchased.
B. Distance a delivery truck travels compared with the number of
deliveries made
) C. Number of flowers in a flower bed compared with the area planted
D. Points scored in a basketball game compared with the number of
quarters played

Answers

Answer:a

Step-by-step explanation:

Mark placed a pool in his backyard, which is enclosed by a triangular fence. The radius of the pool is 20.5 feet.

Answers

Answer:

A. 3,864 ft²

B. 1,319.585 ft²

C. 2,544.415 ft²

Step-by-step explanation:

Area of triangle:

½ × 92 × 84

3864 ft²

Area of circle:

pi × r²

3.14 × 20.5²

1319.585 ft²

Difference:

3864 - 1319.585

2544.415 ft²

Which of the following is an example of a function
whose graph in the xy-plane has no x-intercepts?
A) A linear function whose rate of change is not
B) A quadratic function with real menos
© A quadratic function with no real xeros
D) A cubic polynomial with at least one real zero

Answers

Answer: Option C.

Step-by-step explanation:

A function goes trough the x-axis when f(x) = 0 for some value of x.

For example, when we say that a quadratic function has no real zeros, this means that the determinant is less than zero, so the roots of the equation:

a*x^2 + b*x + c = 0

are complex roots, this means that for the function:

f(x) = y = a*x^2 + b*x + c

there is not a real number x such f(x) = 0

So the correct option is C.

The quadratic function with no real zeros is an example of a function whose graph in the xy-plane has no x-intercepts.

What is x-intercept?

The x-intercept is the point on the coordinate at which a line, curve or plane intersect with the x-axis.

The example of a function whose graph in the xy-plane has no x-intercepts has to find out.
X-intercept is the point over the graph where,

[tex]y=f(x)[/tex]

Here, x is the roots of the function.

For no value of x-intercepts, the function become,

[tex]y=0[/tex]

[tex]f(x)=0[/tex]

Here, the zeros and roots are the same, where function become equal to zero.

Thus, the quadratic function with no real zeros is an example of a function whose graph in the xy-plane has no x-intercepts.

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Find the radius of a cylinder with volume
351.9 cubic cm and height 7 cm.

Answers

Answer:

4

Step-by-step explanation:

Answer:

4 cm

Step-by-step explanation:

Volume of cylinder = [tex]\pi[/tex]r²h

Radius = [tex]\sqrt{\frac{V}{\pi h} }[/tex]

Radius = [tex]\sqrt{\frac{351.9}{\pi 7} }[/tex]

Radius = [tex]\sqrt{\frac{351.9}{21.98} }[/tex]

Radius ≈ [tex]\sqrt{16}[/tex]

Radius ≈ 4

So, the radius is about 4 cm.

Help I will mark BRAINLIEST if correct please help

Answers

Answer:

[tex](-\frac{1}{4}, \frac{5}{8} )[/tex]

Step-by-step explanation:

If you label the points on the axes, it will show that point K is actually on [tex]\frac{5}{8}[/tex] not [tex]\frac{3}{4}[/tex]

!!15p!!
Which statement explains how to calculate the mean of a set of data?
A
Subtract the smallest from the largest value.
B. Add the largest and the smallest values and divide by 2.
C. Find the sum of all the values and then divide by the number of values.
D. Organize the data from least to greatest and find the value in the middle.
E Organize the data from least to greatest and identify which value is repeated the most often.

Answers

Answer:

C

Step-by-step explanation:

Mean is just another name for average. To find the mean of a data set, add all the values together and divide by the number of values in the set. The result is your mean!

I think it’s C, if no, sorry :/

HELP ME PLZ ASAP!!!!!

Answers

Answer:

x=30, A=132

Step-by-step explanation:

These 2 angels are alternate interior angles so they are equal

5x-18=3x+42

Solve.

2x=60

x=30

Now substitute x into angle A

A=150-18

A=132

Answer:

The variable X should be 30.

Step-by-step explanation:

∠132=5(30)-18° = ∠132=3(30)+42°

Drag the tiles to the correct boxes to complete the pairs.
Match each situation to the simulation that represents it.

Althea has to select 1 student
as the class representative
from 13 students.

Fiona is deciding which of three
forests to research for a
geography project: evergreen,
deciduous, or coniferous.

Jenny is picking a marble from
a jar with two green marbles, six
yellow marbles, and two red
marbles.

rolling a six-sided die



selecting a playing card from
the hearts suit



spinning a spinner divided into
five equal sections


Answers

Answer: rolling a six sided die☞︎Fiona forest research

Hearts suit☞︎Althea class representative

Spinner☞︎ Jenny marbles

Step-by-step explanation:

Answer:

Fiona= die

Althea=cards

Jenny=Spinner

Step-by-step explanation:

starting off Fiona has three which can evenly go into six.

Althea has 13 options which matches with the number of suits in the hearts

the Jenny would be spinner because 5 times 2 is 10

Other Questions
The first thing you decide to do is to build a fire; however, you have no matches, so you use the bow-and-drill method. What is the bow-and-drill method? a. A dry, soft stick is rubbed between ones hands against a board of supple green wood. b. A soft green stick is rubbed between ones hands against a hardwood board. c. A straight stick of wood is quickly rubbed back-and-forth against a dead tree. d. Two sticks (one being the bow, the other the drill) are struck to create a spark. convert 0.528 to a percent Picture attached PLEASE HELP E=mc(the 'c' is squared btw.. it has a little 2 at upper right conner)To solve for " m " in the formula shown above, you should:Select one:a. A.) Divide both sides of the equation by c squared.b. B.) Subtract c squared from both sides of the equation.c. C.) Multiply both sides of the equation by c squared.d. D.) Add a negative c squared to both sides of the equation. Why do oceanographers need to look for new food resources Question 1 (1 point)Too much stress can lead to which of the following?Mental disorders such as depression and addictionInfectious diseases such as viruses, flu, and asthma.Pain such as headaches, back pain, and muscle stiffnessAll of the above what is the surface of the square pyramid ?A. 168,750 square yardsB. 5625 square yardsC. 14,625 square yardsD. 20,250 square yards(50 points) What is the uterus?O A muscular organ where the fetus develops during pregnancyThe place where oocytes and estrogen are producedO A female structure crucial in blocking bacteria and spermThe passageway allowing the oocyte to travel to where it can implant NEED HELP PLEASE: Four shaded circles, each of radius 4 feet, are packed in a square as shown. Suppose you drop a coin onto the square at random. What is the probability that the center of the coin lands in a non-shaded area? What is the medical term for infection of the gallbladder? HEEEEELP I IS TTTTTTIIIIIMMMMMEEEEEDDDDWhat is the shape of the cross section of the figure that is perpendicular to the triangular bases and passes through a vertex of the triangular bases?A triangular prism.a parallelogram that is not a rectanglea rectanglea triangle that must have the same dimensions as the basesa triangle that may not have the same dimensions as the bases In today's world, voting is both a responsibility and somethingthat you should do. Many corrupt politicians thrive on low voterturnout and people not voting.Which rewrite best improves this passage while leaving the original meaning intact?A. Voting is a responsibility and a duty. Many corrupt politicians thrive onlow voter turnout and lack of votes.B. Voting prevents corrupt politicians from thriving.C. Voting is both a responsibility and a way for corrupt politicians to thrive.D. Voting is a responsibility. Many corrupt politicians thrive on low voterturnout. its the same thing as before but I gotta put it up again, cuz they didn't see its don't mind this PILGRIMS PROGRESS:is Christian a dynamic character or static character, and why? Has anyone read the book Third level Solve: 3(x - 6) = -12 The probability that an egg on a production line is cracked is 0.01. Two eggs are selected at random from the production line. Find the probability that at least one egg is cracked. Write the entire decimal answer. Discuss and DecideWhich type of character do you usually encounter in the stories you read, acharacter developed by direct characterization or by indirect characterization?Cite text evidence in your discussion. True or falseThe solution to the inequality 5x+2 without calculating steven says that prisms A and B have the same volume. Explain why Steven is correct