The right prism shown has a surface area of 414 in.² what is the value of X in inches

The Right Prism Shown Has A Surface Area Of 414 In. What Is The Value Of X In Inches

Answers

Answer 1

Answer:

4 in

Step-by-step explanation:

area right : Ar = 5x

area left : Al = 11x

area top : At = 5x

area bottom : Ab = 13x

area front : Afr = rectangle 13×11 minus area triangle

triangle (right-angled) : (11-5)×(13-5)/2 = 24 in²

Afr = 13×11 - 24 = 119 in²

area back = area front = 119 in²

sloped area : As = 10x

all individual shapes in the surface of the object are rectangles except the 2 areas in the front and in the back, where we had to calculate the complete rectangle and then subtract the cut off triangle area.

so, in total we have

414 = 5x+11x+5x+13x+119+119+10x = 44x + 238

176 = 44x

x = 4 in


Related Questions

pls I need an answer to this​

Answers

Answer:

10.20

the answer is in none of the options just choose

10.12

OPTION D is the correct answer

if p(a) contain 8 elements then set a contain which element

Answers

Answer:

3 elements

because 2^3=8

Answer:

3 elements

because 2^3=8

Step-by-step explanation:

Expand and simplify (b+6)(b-4)

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: {b}^{2} + 2b - 24}}}}}}[/tex]

[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]

[tex] \: (b + 6)(b - 4)[/tex]

➼[tex] \: b \: (b - 4) + 6 \: (b - 4)[/tex]

➼[tex] \: {b}^{2} - 4b + 6b - 24[/tex]

Combining like terms, we have

➼[tex] \: {b}^{2} + 2b - 24[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

0=5x+3 solve equation

Answers

5x+3=0

5x=–3

x=–3/5

x=– 0.6

Answer:

x = -3/5

Step-by-step explanation:

0 = 5x + 3

shift 3 to left hand side . when u are shifting 3 to other side it becomes negative

0 - 3 = 5x

-3 = 5x    (5x means 5*x)

now shift 5 to left hand side . multiplication changes to division when u shift.

-3/5 = x

What is a cubic function

Answers

Answer:

In mathematics, a cubic function is a function of the form f(x)=ax^3+bx^2+cx+d where the coefficients a, b, c, and d are real numbers, and the variable x takes real values, and a ≠ 0. In other words, it is both a polynomial function of degree three, and a real function.

Una persona ha sido mordida por un insecto venenoso. Se comenzó a sentir mal pasados 30 minutos, 2 horas después acudió a un centro de urgencias donde fue atendido pasados 90 minutos. Si se estima que el porcentaje de sangre contaminada t horas después de ocurrida la mordedura es P =18t – t2 + 6
¿Qué porcentaje de sangre contaminada tiene este paciente al momento de ser atendido?

Answers

Can you translate it in English

Select the correct answer.

Roger works part-time as a waiter at a pizza joint. He earns $9 per hour. How much does he earn for 20 hours of work?


A.

$100

B.

$120

C.

$150

D.

$180

Answers

Answer:

180

Step-by-step explanation:

9x20= 180

Answer:

Step-by-step explanation:

Well You Know you have to multiply

multiply 9 times 20

9 times 2 18

then add the zeros

The answer is 180

A bin of 50 manufactured parts contains 3 defective parts and 47 non-defective parts. A sample of size 6 parts is selected from 50 parts. Selected parts are not replaced. How many different samples are there of size six that contain exactly 2 defective parts? What is the probability that a sample contains exactly 2 defective parts?

Answers

Answer:

535,095 different samples of size six that contain exactly 2 defective parts.

0.0337 = 3.37% probability that a sample contains exactly 2 defective parts.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

As the order of the parts is not important, the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

How many different samples are there of size six that contain exactly 2 defective parts?

2 defective from a set of 3, and 4 non-defective from a set of 47. So

[tex]D = C_{3,2}*C_{47,4} = \frac{3!}{2!1!}*\frac{47!}{4!43!} = 535095[/tex]

535,095 different samples of size six that contain exactly 2 defective parts.

What is the probability that a sample contains exactly 2 defective parts?

The total number of samples is:

[tex]T = C_{50,6} = \frac{50!}{6!44!} = 15890700[/tex]

Then...

[tex]p = \frac{D}{T} = \frac{535095}{15890700} = 0.0337[/tex]

0.0337 = 3.37% probability that a sample contains exactly 2 defective parts.

F=16,V=12,E=□ by euler's formula​

Answers

Answer:

26

Step-by-step explanation:

F + V = E + 2

Where,

F = number of faces = 16

V = number of vertices = 12

E = number of edges = ?

F + V = E + 2

16 + 12 = E + 2

28 = E + 2

28 - 2 = E

26 = E

E = 26

E = number of edges = 26

Which two terms are interchangeable?

Answers

Answer: Axioms and Postulates

Step-by-step explanation:

Even if we draw more points on a line, It is an accepted statement of a fact that cannot be disproved - which which these are called Axioms or Postulates; and they are interchangeable.

I hope my explanation helped. Your welcome.

7) -4 = 2(b + 5)
please help!

Answers

Answer:

b = -7

Step-by-step explanation:

Let's solve your equation step-by-step.

−4 = 2(b + 5)

Step 1: Simplify both sides of the equation.

−4 = 2(b + 5)

−4 = (2)(b) + (2)(5)(Distribute)

−4 = 2b + 10

Step 2: Flip the equation.

2b + 10 = −4

Step 3: Subtract 10 from both sides.

2b + 10 − 10 = −4 − 10

2b = −14

Step 4: Divide both sides by 2.

[tex]\frac{2b}{2} = \frac{-14}{2}[/tex]

b = -7

Hope this helps, please mark brainliest if possible. Have a great day! :)

Find the volume and surface area of the rectangular solid. The length is 4 meters, the width is 6 meters, and the height is 3 meters.

Answers

Answer:

Volume = h * w * l (height, width, length)

Volume = 4* 6 * 3

Volume = 72 cube meters

Surface area is finding the are of every 2D plane on the solid.

2(w * h) + 2(l*h) + 2(w * l)

Surface are = 108 square meters

Solve Only estimation​

Answers

Answer:

3a)1680

b)2620

4a)2130

b)13300

c)460

d)7540

Step-by-step explanation:

3a)1500+180

b)2800-170

4a)1800+330

b)7300+6000

c)670-210

d)8000-460

Answer:

a) 1600

b) 2600

c) 2200

d) 13200

e) 500

Step-by-step explanation:

a) 1463 + 179

1400 + 200

1600

b) 2806 - 176

2800 - 200

2600

c) 1831 + 329

1900 + 300

2200

d) 7345 + 5893

7300 + 5900

13200

e) 665 - 213

700 - 200

500

The following are the temperatures of 10 days in winter in °C.
6, 5, 3, -4, 3, -3, 2, -1, -2, 0
Work out the mean temperature

Answers

Answer:

0.9

Step-by-step explanation:

To find the mean temperature, we have to add all of the numbers together and divide that by the amount of numbers there are.

6 + 5 + 3 + -4 + 3 + -3 + 2 + -1 + -2 + 0 = 9

There are 10 numbers.

Our mean, or average, would be 9 / 10 = 0.9

A review of combination

Answers

Answer:

What is a Combination? A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order. Combinations can be confused with permutations.

#happylearning

If one dog eats 5 pounds of food each week, how many dogs will 65 pounds of food feed for a week

Answers

Answer:

It will feed 13 dogs.

Step-by-step explanation:

1 dog = 5 lbs

Set up an equation:

Variable x = number of dogs

1/5 = x/65

Cross multiply:

1 × 65 = 5 × x

65 = 5x

Divide both sides by 5:

13

Check your work:

13 dogs × 5 lbs = 65 lbs

65 = 65

Correct!

6. a semicircle has as its diameter the hypotenuse of a right triangle shown below. determine the area of the semicircle to the nearest tenth of a square centimeter. show how you arrived at your answer.

Answers

Answer:

[tex]A = 137.3cm^2[/tex]

Step-by-step explanation:

Given

See attachment

Required

The area of the semicircle

First, we calculate the hypotenuse (h) of the triangle

Considering only the triangle, we have:

[tex]\cos(68) = \frac{7}{h}[/tex] --- cosine formula

Make h the subject

[tex]h = \frac{7}{\cos(68)}[/tex]

[tex]h = \frac{7}{0.3746}[/tex]

[tex]h = 18.7[/tex]

The area of the semicircle is then calculated as:

[tex]A = \frac{\pi h^2}{8}[/tex]

This gives:

[tex]A = \frac{3.14 * 18.7^2}{8}[/tex]

[tex]A = \frac{1098.03}{8}[/tex]

[tex]A = 137.3cm^2[/tex]

Marina is given a rectangular piece of paper. If the length of Marina’s piece of paper is represented by 3x -6 and the width is represented by 2x -5, then the paper has a total area represented by

Answers

A= 6x^2 -27x + 30
Please mark brainliest!!

Find the rate, or percent, for each of the following items. Round your answers to the nearest 0.1%.

Base 72; percentage 12

Percentage 28; base 224

Base 20; percentage 40

Base 44; percentage 99

Percentage 126; base 8400

Answers

Answer:

(last part)

25%

27.8%

290%

300%

67%

Step-by-step explanation:

Anempt 1012
Find the mean for the given set of data.
-4,-3,-1,-1, 0,1

Answers

Answer:

-1 1/3

Step-by-step explanation:

To find the mean, add up all the numbers

(-4+-3+-1+-1+0+1) =

-8

Then divide by the number of terms

-8/6

-4/3

-1  1/3

Answer A is your answer

Step-by-step explanation:

what is the best estimate of (-3/8)(17 5/6)​

Answers

Answer:

-11

Step-by-step explanation:

Given the expression (-3/5)(17 5/6)

Converting the mixed to improper fraction

​(-3/5)(17 5/6)

=  (-3/5)(107/6)

= (-3*107)/(5*6)

= -321/30

= -10.7

Hence the required best estimate is -11

Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solution if x represents the number of the days that a library book is late and y represents the total fee?

Answers

Answer:

x + $0.30 = y

Step-by-step explanation:

hope this helps!

Answer:

(x,0.3*x)

Step-by-step explanation:

the equation would be 0.3*x=y where x is days and y is total cost. so the ordered pair would be (x,y). swapping 0.3*x for y is where (x,0.3*x) is derived from. Since there will be no negative days and the fee only applies at midnight x must be positive and an integer.

So for this problem what I did was I divided 210 (the total number of calories) / 10 (calories from the fat). The total came out to be 21 but the answer is incorrect. How would I go about solving this problem?

Answers

For percentages, we divide the part by the whole. In this case, the part is the number of calories from fat and the whole is the total number of calories.

10 / 210 = 0.0476 = 4.76%

Then, we need to round to the nearest tenth.

The answer is 4.8%

Hope this helps!


[tex] {7}^{2n + 1} \div 49 = {7}^{3} [/tex]
What the value of n​

Answers

Step-by-step explanation:

[tex] {7}^{2n + 1} \div 49 = {7}^{3} [/tex]

[tex] {7}^{2n + 1} \div {7}^{2} = {7}^{3} [/tex]

[tex] {7}^{2n + 1 - 2}= {7}^{3} [/tex]2n-1=32n=4n=2

Solve for x in the triangle. Round your answer to the nearest tenth

Answers

Step-by-step explanation:

[tex] \tan(67) = \frac{x}{7} \\ 2.355852366 = \frac{x}{7} \\ x = 16.49 = 16.5[/tex]

HELPPPPPPPPPPPP PLEASEEEEEEEEEEE I NEEEEEDDDDDDDD HELP IM BEGGING SOMEONE PLEASEEEEEEEEEEEE​

Answers

Answer:

49.13

Step-by-step explanation:

1/2×6×8=24 3.14×4²/2=23.15

24+23.15=49.13

write the other side of this equation so its true for all values of x: 1/2(6x-10)-x=

Answers

9514 1404 393

Answer:

  2x -5

Step-by-step explanation:

Any equivalent expression can be used. It is perhaps easiest just to simplify the given expression.

  1/2(6x -10) -x = 3x -5 -x = 2x -5

Putting 2x-5 on the right will give an equation true for all x.

  1/2(6x -10) = 2x -5

If the rvalue, or correlation coefficient, of a data set is negative, the
coefficient of determination is negative.

Answers

The given statement is false. Because If the r-value, or correlation coefficient, of a data set, is negative, the coefficient of determination is positive.

What exactly does a negative correlation coefficient mean?

Two variables with a negative correlation tend to move in opposing directions.

While a correlation value of -0.3 or below shows a very weak association, one of -0.8 or lower suggests a significant negative relationship.

The complete question is;

"The given statement is true or false

If the r-value, or correlation coefficient, of a data set, is negative, the coefficient of determination is negative."

Because If a data set's r-value, or correlation coefficient, is negative, the coefficient of determination is positive.

Hence, the given assertion is incorrect.

To learn more about the correlation refer to:

https://brainly.com/question/6563788

#SPJ1

What is a half of 25% of 0.2 0f 200?

Answers

Answer: 5

Step-by-step explanation:

Data: Half of 25% of 0.2 of 200=x

Step one, Find 0.2 of 200

0.2=20%

20% of 100=20 so 20% of 200=40

Reason: 0.2 is another way of writing 20% so you can find 20% of 200 with a shortcut. basically since 20% of 100 is 20 and 200 is 100x2 you can just multiply 20x2 to get 20% of 200, which is 40.

Step two, Find 25% of 40

40/4=10 which means 4x10=40

10=25% of 40

Reason: Since percent is based of 100, we know that multiplying 25 by 4 will get us 100 so all we need to go to find 25% of something it divide it by 4. 40/4 is 10 so 10 would be 25% of 40(0.2 of 200)

Step three, Find half of 10

10/2=5

Reason: To find the half of anything, you insert the number(x) into here 'x/2' or just divide it by two, it's the same thing. And since 10/2 is 5 half of 10 is 5.

So, half of 25% of 0.2 of 200 is 5

I hope this helps!

Matt had 60 questions correct on a Percent’s Chapter Test that had 150 one-mark questions. What was his mark written as a percentage?

Answers

Answer:

His mark, as a percentage, was of 40%.

Step-by-step explanation:

Mark as a percentage:

His mark as a percentage is the number of questions correct multiplied by 100% and divided by the number of questions.

In this problem:

60 questions correct out of 150. So

60*100%/150 = 40%

His mark, as a percentage, was of 40%.

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