The Canvas Camping Company makes canvas tents like the one shown. How much material is needed to make the tent?

Answers

Answer 1

The material needed to make the tent assumes the shape of a triangular prism and the surface area of the material needed is 193.18 ft².

What is the surface area of a triangular prism?

A triangular prism is indeed a three-sided prism made up of a triangle base, a translational copy, and triple faces connecting equivalent sides in geometry.

The properties of a triangular prism include:

It has five facesIt has six edgesIt has nine vertices

Let's assume that the shape of the canvas tents is in form of a triangular prism, to determine the material needed to make the tent, we need to understand the surface area of a triangular prism.

However, let's assume that:

Each of the three bases of the triangular prism = 6The height of the triangular prism = 9

From the image attached below: the surface area of the triangular prism can be calculated by using the following  formula:

[tex]\mathbf{A = 2A_B +(a+b+c)h }[/tex]

[tex]\mathbf{A_B = \sqrt{s(s-a)(s-b)(s-c)}}[/tex]

[tex]\mathbf{s = \dfrac{a+b+c}{2}}[/tex]

Combining the formulas together the surface area of the triangular prism can be computed as:
[tex]\mathbf{S.A = ah+bh+ch+\dfrac{1}{2} \sqrt{ -a^4+2(ab)^2+2(ac)^2-b^4 +2(bc)^2-c^4}}[/tex]

[tex]\mathbf{S.A = (6\times9)+(6\times9)+(6\times9)+\dfrac{1}{2} \sqrt{ -6^4+2(6 \times 6)^2+2(6 \times 6)^2-6^4 +2(6 \times 6)^2-6^4}}[/tex]

S.A = 193.18 ft²

Learn more about the surface area of a triangular prism here:

https://brainly.com/question/26979119

The Canvas Camping Company Makes Canvas Tents Like The One Shown. How Much Material Is Needed To Make

Related Questions

The roof of castle is in the Shape of a cone. It has a height of 12 feet and a diameter of 6 feet, how much air occupies the roof? (Use PE= 3. 14 )

Answers

V=1/3 * 3.14 * r^2 * 12
V= 1/3 * 3.14 * (3*3) *12
V= 113.04

Melissa made a paperweight. The paperweight is a rectangular prism. She painted the outside surface of the paperweight.

Answers

Surface area = (5*(12))+2(4*3)


Help please
(it needs more characters so ‍♀️

Answers

Answer:

5.1 is the correct answer

hope it will help you

can someone answer this is that I do not understand and I need it.

Answers

Answer:

y = 110 degree

x = 70 degree

z = 70 degree

Step-by-step explanation:

Vertical angles are always congruent.

so, the angle with the 110 degree is equal to the angle y.

now we have the measure of y.

as you can see angle y and angle z form a straight light wich means the sum of angle y and angle x is 180 degree

now, to get the measure of angle z,

180 - 110 = angle z

70 = angle z

now we have the measure of angle z

as angle z and angle x are vertical angle, they are congruent.

so angle x = 70

x = 70

z= 70

y = 110

hope this helps:)

Help me pls very pls

Answers

Answer:

y = 4

Step-by-Step explanation:

4x5 = 20

2x5 = 10

20+10=30.

(4x5) + (2x5) = 30

or

(yx5) + (2x5) = 30

Brainliest would be appriciated :) have a nice day!

solve for x
[tex] \binom{1}{2} ^{3x + 1} = 32[/tex]
how do i solve for x ​

Answers

Answer:

Yes diciembre Eqsakdulien

(LCM) of 28, 42 and 63

Answers

Answer:

252

Step-by-step explanation:

The least common multiple is the product of all factors in the greatest number of their occurrence.

LCM = 2 x 2 x 3 x 3 x 7

LCM = 2^2 x 3^2 x 7

LCM = 252

The least common multiple of 28, 42 and 63 is 252.

Answer:

LCM = 252.

Step-by-step explanation:

First find their prime factors:

28 = 2*2*7

42 = 2*3*7

63 = 3*3*7

So, only including like factors once, LCM =

2*2*3*3*7

= 252

help nowwww
These polygons are similar.
What is the value of x?
• A. 16
20.25
O c 21

24.75
• E 36

Answers

Answer:

20

Step-by-step explanation:

As they are similar, correspondence sides are in common ratios:

Apply cross product property

Multiply the numbers

Divide both sides of the equation by 5

Calculate

At Central High School, there are 48 football players and 20 cheerleaders. What is the ratio of cheerleaders to football players?

Answers

Answer:

The answer should be 5:12.

Step-by-step explanation:

Since the question asks what's the ratio of cheerleaders to football players, the ratio before simplifying would be 20:48.

So, just find the greatest common divisor of 20 and 48, which would be 4.

20/4 = 5

48/4 = 12

Therefore, the answer to this question and the ratio of cheerleaders to football players is 5:12.

I need help setting up the equations

Answers

Answer:

Just multiply the number by the percentage.

Step-by-step explanation:

1. Make the percentage into a decimal (%50= 0.50)

2. Multiply the decimal by the number.

Multiply the number by its percent in decimal form. So if the percent is 18%, the decimal would be 0.18 percent

Another math thing I need help with

Answers

Answer:

Step-by-step explanation:

This quadratic equation is given in standard form, which is [tex]y= ax^2 +bx+c[/tex]. The x-value of the vertex of a quadratic equation can be found using the given formula. Therefore, we can plug the the numbers given into the formula as such: [tex]x=\frac{24}{2(6)}[/tex]. This can be simplified into 2. Now that we have the x-coordinate, we can plug that back into the equation to find the y-coordinate: [tex]y=6(2)^2-24(2)+30[/tex]. This simplifies to y = 6. Therefore, the vertex of the equation is located at (2,6).

Hope this helps!

Is it possible to split a jackpot of $2,783,000 equally among 9 winners? Explain your answer.​

Answers

Answer:

No it isnt possible

Step-by-step explanation:

it is not because 2,783,000 is not divisible by 9

Find the slope of the line passing through (6, -2) and (-5, 5)

Answers

Answer: [tex]-\frac{7}{11}[/tex]

Step-by-step explanation:

The formula for finding slope is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Where [tex](x_{1} ,y_{1} )[/tex] are the coordinates of the first point and [tex](x_{2} ,y_{2} )[/tex] are the coordinates of the second point.

Sub the values in

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\\\frac{5-(-2)}{-5-6} \\[/tex]

Now solve

[tex]\frac{5-(-2)}{-5-6} \\\frac{7}{-11}[/tex]

(6,-2)(-5,5)

Slope:-

[tex]\\ \rm\dashrightarrow m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\\ \rm\dashrightarrow m=\dfrac{5+2}{-5-6}[/tex]

[tex]\\ \rm\dashrightarrow m=\dfrac{-7}{11}[/tex]

Which letter is the height?

Answers

Answer:

I'm pretty sure y is the height.

Please help worth 15 points

Answers

Answer:

[tex]30.25\pi ft^2[/tex]

Step-by-step explanation:

What does the red arrow represent in the dot plot?
O outlier
O mean
O spread
O median
NO LINKS!!!​

Answers

Outlier Is the answer you are looking for

The red arrow represents an outlier in the given dot plot. which the correct answer would be an option (A).

What is the dot plot?

A dot plot, sometimes known as a dot chart, is a sort of basic histogram-like graphic used in statistics for very small data sets with discrete values.

An outlier is a value in a random sampling from a population that is significantly different from the other values. In some ways, this definition leaves it up to the analyst (or a consensus process) to determine what is abnormal. Normal observations must first be characterized before anomalous observations may be identified.

The dot plot is given in the question,

According to the given dot plot,

Most data are clustered around [12, 14], while 24 is distant from this interval.

Thus, the red arrow represents an outlier in the given dot plot.

Hence, the correct answer would be option (A).

To learn more about the dot plot click here:

https://brainly.com/question/22746300

#SPJ2

Solve the following....
[tex]x+4=3(x-2)[/tex]

Answers

Answer:

x = 5

Step-by-step explanation:

x + 4 = 3(x - 2) ← distribute parenthesis by 3

x + 4 = 3x - 6 ( subtract 3x from both sides )

- 2x + 4 = - 6 ( subtract 4 from both sides )

- 2x = - 10 ( divide both sides by - 2 )

x = 5

Answer:

Solution of equation is 5

Step-by-step explanation:

In the question we have given an equation that is x + 4 = 3 ( x - 2 ) . And we are asked to solve the question that means we have to find the value of x .

Solution : -

[tex] \longrightarrow \quad \: x + 4 = 3(x - 2)[/tex]

Step 1 : Solving parenthesis on right side :

[tex] \longrightarrow \quad \: x + 4 = 3x - 6[/tex]

Step 2 : Subtracting 4 on both sides :

[tex] \longrightarrow \quad \: x + \cancel{4} - \cancel{ 4 }= 3x - 6 - 4[/tex]

On further calculations we get :

[tex] \longrightarrow \quad \: x = 3x - 10[/tex]

Step 3 : Subtracting 3x on both sides :

[tex] \longrightarrow \quad \: x - 3x = \cancel{3x } - \cancel{3x}- 10[/tex]

On further calculations we get :

[tex]\longrightarrow \quad \: - 2x = - 10[/tex]

Step 4 : Dividing both sides by -2 :

[tex]\longrightarrow \quad \: \dfrac{ \cancel{ - 2}x}{ \cancel{ - 2} } = \cancel{\dfrac{ - 10}{ - 2} }[/tex]

On further calculations we get :

[tex]\longrightarrow \quad \: \red{\underline\red{\boxed{ \frak{ x = 5}}}}[/tex]

Therefore , value of x is 5 .

Verifying : -

We are verifying our answer by substituting value of x in given equation. So ,

x + 4 = 3 ( x - 2 )

5 + 4 = 3 ( 5 - 2 )

9 = 3 ( 3 )

9 = 9

L.H.S = R.H.S

Hence, Verified.

Therefore, our answer is correct .

#Keep Learning

The table below represents which equation?
х
0
2.
-1
1
1
-5
2
-8
у
-2
A
y = -x
B
y = 3x + 6
y=-3x - 2
D
y = x + 2

Answers

Answer:

C:  y = -3x - 2

Step-by-step explanation:

See attached image.  Use a spreasheet to calculate the values of y for each vale of x and compare the results.  Equation C matches the data in the table.

10
2
Given the graph above, choose the coordinate point that is NOT a
solution.
(6.0)
(10,6)
(-8,6)
(0,0)

Answers

Answer: Choice C

(-8, 6)

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

Reason:

This point is not in the shaded region. Points in the shaded region are solution points to make the inequality true. Points on the dashed boundary line do not count as solution points.

Answer:

-8,6

Step-by-step explanation:

all of the other answers are within the highlighted area of tha graph and thus are solutions but -8,6 is outside the highlighted area

You have $300. Your sister has at most $50 less than you. Write an inequality that matches the situation. Give an amount of money your sister could have.

Answers

At most 50 less than you. You have 300
So 300-50 =250 thats the best scenario, because 50 is most that can be subtracted. (Example, Instead of 50 it can be 40 but not 60. If 40, it becomes 260 so more than if subtracted by 50.)
So,
X>= 250

1/6 of a wall painted in 3/10 of an hour, how much did he paint in 1 hour

Answers

3/10 of an hour is 6x3=18 mins
To get to one hour we do 3/10 x 10 / 3
So we 1/6 x 10 / 3 = 10/6 / 3 =5/3 / 3=5/9

what plus 23 equals 180

Answers

Answer:

157

Step-by-step explanation:

To find this, we just have to reverse the problem and subtract 23 from 180:

[tex]180-23=157[/tex]

So your answer is 157.

Hope this helps! Have a good day! :)

157

Step-by-step explanation:

180-23= 157

The answer is 157

Please I need help and an explanation :0

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

According to properties of arc on a circle, angles subtended by an arc on circle at its boundaries are equal to one another.

Hence ~

[tex] \qquad \dashrightarrow \tt \: \angle C = \angle W [/tex]

[tex]\qquad \tt \dashrightarrow \:12x + 15 = 3x + 78[/tex]

[tex]\qquad \tt \dashrightarrow \:12x - 3x = 78 - 15[/tex]

[tex]\qquad \tt \dashrightarrow \:9x = 63[/tex]

[tex]\qquad \tt \dashrightarrow \:x = 63 \div 9[/tex]

[tex]\qquad \tt \dashrightarrow \:x = 7[/tex]

Therefore, value of x is 7

Angles drawn inside chords and radius hence they are equal

12x+15=3x+789x=63x=63/9x=7

(True or false): a square falls under both the rectangle and the kite in the quadrilateral hierarchy

Answers

Answer:

True

Step-by-step explanation:

hopes this helps.

the town of abridge currently has a population of 300,000 each year the population will reduce by 7% how many fewer people will live in abridge in 5 years compared with now give your answer to 3 sf

Answers

Answer:

91,300 to 3 s.f.

Step-by-step explanation:

The population is reduced by a percentage 100-7 = 93%  ( or 0.93) per year.

So after 5 years thatwould be 300,000(0.93)^5

= 208707

that is 300,000 - 208,706

= 91293

= 91,300 to 3 s.f.

The population of a town is increasing at a rate of 3.5% per year. In 2010, the town had a population of 24,500. Find the population of the town in 2021. (if you can please give a short explanation)

Answers

well, from 2010 to 2021  is 11 years later, so

[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &24500\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ t=years\dotfill &11\\ \end{cases} \\\\\\ A=24500(1 + 0.035)^{11}\implies A=24500(1.035)^{11}\implies A\approx 35769[/tex]


NEED HELPP I DONT UNDERSTAND??!!!

Answers

58 square inches
just break up the figure and find the area of each shape. then add all those together
BRAINLIEST PLEASE! TY!
The answer: 59.5

Because
1/2 x5 x3=15/2=7.5 inch ^2

Now

12+40+7.5=59.5 in^2

Given circle E with diameter CD and radius EA. AB is tangent to E at A. if AD = 15 and EC = 14, solve for AC.

Answers

Answer:

AC 23.6 units

Step-by-step explanation:

m∠CAD = 90°

CD = 2×14 = 28 , AD = 15

CD² = AD² + AC² ⇒ AC² = CD² - AD²

AC² = 28² - 15² = ( 28 - 15 )( 28 + 15 ) = 13 × 43 = 559

AC 23.6

what is the value of x?

Answers

Answer:

If you mean the angle at X... 70°

Step-by-step explanation:

Angles on a straight line sum up to 180°115° + Y = 180°Y = 180° - 115° = 65°Angles in a triangle sum up to 180°X + Y + Z = 180°(4k + 5)° + (6k + 10)° + 65° = 180°We turn everything into degrees4k° + 5° + 6k° + 10° + 65° = 180°We then sum up the "like" terms (as in, we put all the k together, and put all the normal numbers together)10k° + 80° = 180°10k° = 180° - 80° = 100°k° = 100° ÷ 10 = 10°At X:6k° + 10° = 6 × 10° + 10° = 60° + 10° = 70°

Prove





[tex]\small \dfrac{ \sin(A) - \cos(A) + 1}{\sin(A) + \cos(A) - 1} = \dfrac{\cos(A)}{1 - \sin(A) } [/tex]




Help!!!!!!!!!​

Answers

[tex] \frac{ \sin(a) - \cos(a) + 1 }{ \sin(a) + \cos(a) - 1 } = \\ [/tex]

____________________________________________

[tex] \frac{ \sin(a) - \cos(a) + 1 }{ \sin(a) + \cos(a) - 1 } \times \frac{ \sin(a) + \cos(a) + 1}{ \sin(a) + \cos(a) + 1 } = [/tex]

[tex] \frac{ {sin}^{2}(a) + 2 \sin(a) - {cos}^{2} (a) + 1 }{ {sin}^{2}(a) + 2 \sin(a) \cos(a) + {cos}^{2}(a) - 1 } = [/tex]

_____________________________________________

As you know :

[tex] {sin}^{2} (a) + {cos}^{2} (a) = 1[/tex]

_____________________________________________

[tex] \frac{ {sin}^{2} (a) - {cos}^{2}(a) + 2 \sin(a) + 1}{ {sin}^{2} (a) + {cos}^{2}(a) - 1 + 2 \sin(a) \cos(a) } = [/tex]

[tex] \frac{ {sin}^{2}(a) - (1 - {sin}^{2}(a)) + 2 \sin(a) + 1 }{1 - 1 + 2 \sin(a) \cos(a) } = [/tex]

[tex] \frac{ {sin}^{2} (a) + {sin}^{2} (a) - 1 + 1 + 2 \sin(a) }{2 \sin(a) \cos(a) } = [/tex]

[tex] \frac{2 {sin}^{2}(a) + 2 \sin(a) }{2 \sin(a) \cos(a) } = [/tex]

[tex] \frac{2 \sin(a)( \sin(a) + 1) }{2 \sin(a)( \cos(a) \: ) } = \\ [/tex]

[tex] \frac{ \sin(a) + 1}{ \cos(a) } \\ [/tex]

And we're done...

Take care ♡♡♡♡♡

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