Tia's tent is in the form of a triangular prism as shown below.
If Tia plans to waterproof the tent, excluding the base, what
is the area in which she will waterproof?
(round to the nearest hundredth)

Tia's Tent Is In The Form Of A Triangular Prism As Shown Below.If Tia Plans To Waterproof The Tent, Excluding

Answers

Answer 1

Answer: 279.43

Step-by-step explanation:

Tia's Tent Is In The Form Of A Triangular Prism As Shown Below.If Tia Plans To Waterproof The Tent, Excluding
Answer 2

The area of the tent that she will need to waterproof is 279.43 feet².

What is Surface Area?

The area of a three dimensional object on it's outer surface is called the surface area of the object.

Given a tent in the form of a triangular prism as given.

We have to find the surface area of the tent excluding the base.

There are 2 triangular faces and 2 rectangular faces.

Area of the prism that needs to waterproof = area of 2 rectangles + area of 2 triangles

Area of rectangles = 2 × 14 × 8 = 2 × 112 feet² = 224 feet²

Height of the triangular face = √(8² - 4²) = √48

Area of 2 triangles = 2 × 1/2 × 8 × (√48) = 8√48 feet²

Area needed to be waterproofed = 224 feet² + 8√48 feet² = 279.43 feet²

Hence the area of the tent is 279.43 feet².

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Related Questions

Sara and her dad visit yo yo yogurt again this time the scale says that Sara has 14 ounces of vanilla yogurt in her cup

Answers

Total pounds of yogurt they buy (as a mixed number) : [tex]1\dfrac{5}{16}[/tex]

What will the Yogurt weigh?

Mass is one of the principal quantities, which is related to the matter in the object  

The main mass unit consists of 7 units of other than other units of mass such as quintals, tons, pounds, ounces:  

Kilogram, kg  

Hectogram, hg  

Decagram, dag  

gram, g  

Decigram, dg  

centigram, cg  

milligrams, mg  

Each unit descends then multiplied by 10, and if one unit increases then divided by 10  

Fraction numbers are known as numerator and denominator

On a number line, fractions are expressed in points that lie between two integers

The general form of fractions is

[tex]\dfrac{a}{b}[/tex]

Mixed fractions consist of integers and ordinary fractions

A mixed number is a combination of a whole number and a fraction

Sara has 14 ounces of vanilla yogurt

Her father's yogurt weighs half of much, so her fathers have yogurt :

= 0.5 x 14 ounces

= 7 ounces

Total ounces of yogurt they buy

= 14 + 7 = 21 ounces

for 1 ounces (oz) the conversion = 0.0625 pounds(lbs)

So for 21 ounces there will be

= 21 x 0.0625

= 1.3125 pounds

if we express as a mixed number , it will be :

[tex]=\dfrac{13125}{10000}[/tex]

[tex]=1\dfrac{5}{16}[/tex]

Hence Total pounds of yogurt they buy (as a mixed number) : [tex]1\dfrac{5}{16}[/tex]

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how do I answer this question ​

Answers

Answer:

x = 4

Step-by-step explanation:

-x + 6 = 0.5x

1.5x = 6

x = 4

13. 12, 16, *, 20 Find the missing​

Answers

The answer is 18. It is counting up by twos! 12+2= 16.. 16+2= 18.. 18+2= 20

need answer quick pls i’ll give brainlist to correct answer

Answers

Answer: Okay, I believe it is mean and 4inches

Step-by-step explanation:

If you add altogether, it is 40 and of course divide by 10 (the number of data) it’s 4

How much greater is TR(300) than TR(299)

Answers

Answer:

300

Step-by-step explanation:

TR(n)= n*(n+1)

               2

TR(300)=300*(300+1)

                        2

TR(299)=299*(299+1)

                       2

45150-44850=300

One way to solve is to find TR(300) and TR(299) and then find the difference in between them.  

h(t) = t² – 2t
Evaluate h (x + 2)


Need help I’m reviewing for a final (will leave good review)

Answers

Answer:

h(x + 2) = x² + 2x

Step-by-step explanation:

The base function is :

⇒ h(t) = t² -- 2t

⇒ h(t) = t (t - 2)

Substitute x + 2 in place of t :

⇒ h(x + 2) = (x + 2) (x + 2 - 2)

⇒ h(x + 2) = (x + 2)(x)

h(x + 2) = x² + 2x

[tex]h(t) = t^2 -2t\\\\h(x+2) = (x+2)^2 - 2(x+2)\\\\~~~~~~~~~~~~=x^2 +4x + 4 -2x -4\\\\~~~~~~~~~~~~=x^2 +2x[/tex]

(9x^2+5x^2+11x)+(-2x^3+9x-8x^2)

Answers

Answer:

First step is to remove those unnecessary brackets :

[tex] \longrightarrow\tt \: 9 {x}^{3} + 5 {x}^{2} + 11x - 2 {x}^{3} + 9x - 8 {x}^{2} [/tex]

Combine the like terms :

[tex] \longrightarrow \tt \: 9 {x}^{3} - 2 {x}^{3} + 5 {x}^{2} - 8 {x}^{2} + 11x + 9x[/tex]

[tex] \longrightarrow \boxed{\tt \: 7 {x}^{3} - 3 {x}^{2} + 20x}[/tex]

Our final answer is 7x^3 - 3x^2 + 20x .

--------- HappY LearninG <3 --------

Hcf of 520 and 1430 pls i want to check my answer

Answers

Answer: HCF=130

Step-by-step explanation:

Find x if f(x)=2x-7 and f(x) = 18.

Answers

Answer:

x = 12.5

Step-by-step explanation:

f(18)=2x-7

18+7=2x

25=2x

x=12.5

Give brainiest please!

Hope this helps :)

Find the surface area of a right cone with a radius of 3 meters and a slant height of 5 meters.

Answers

The surface area of the right cone with a radius of 3 meters and a slant height of 5 meters is 47.1 m².

What is surface area?

To calculate the surface area of the cone, we use the formula below.

Formula:

A = πrl.............. Equation 1

Where:

A = Surface area of the coneπ = Piel = Slight Height

From the question,

Given:

l = 5 metersr = 3 metersπ = 3.14

Substitute these values into equation 1

A = 3.14×5×3A = 47.1 m²

Hence, The surface area of the right cone is 47.1 m².

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In the picture above, line BX is the bisector of A, angle B and C. Line CX is the bisector of A, angle C and B. If angle A = 68°, find the size of the obtuse B, angle X and C.

Answers

Answer:

,

Step-by-step explanation:

answer. is in the image

Which number sentence is not true?
A. |-4.5| = 4.5
B. |0| < |-45|
C. |45| > 0
D. |4.5| > |-45|

Answers

Answer:

D is not true.

Step-by-step explanation:

[tex] |4.5| = 4.5[/tex]

[tex] | - 45| = 45[/tex]

[tex]4.5 \leqslant 45[/tex]

The following data points represent the total weight loss
(in kilograms) for each member of omar's final fitness
team. 61,90, 31, 35, 69, 37, 78

Answers

The histogram shows that the majority of Omar's Final Fitness Team had weight loss between 30 to 49 kg, with only a few members achieving higher weight loss of 60 to 69 kg.

To create a histogram from the given data, follow these steps:

Step 1: Determine the range of the data (largest value - smallest value): Range = 90 - 31 = 59

Step 2: Choose a number of classes for the histogram. A convenient number of classes is usually between 5 and 15. For this data set, we can choose 6 classes.

Step 3: Determine the width of each class by dividing the range by the number of classes:

Class width = Range / Number of classes

Class width = 59 / 6 = 9.83

Round the class width up to 10 to make it a convenient number.

Therefore, the class width is 10.

Step 4: Determine the lower limit of the first class. Choose a value that is equal to or less than the smallest data point.

Lower limit of first class = 30

Step 5: Create the frequency distribution table by counting how many data points are in each class:

| Class Interval | Frequency |

|:----:|:----:|

| 30 - 39 | 2 |

| 40 - 49 | 2 |

| 50 - 59 | 0 |

| 60 - 69 | 2 |

| 70 - 79 | 1 |

| 80 - 89 | 1 |

Step 6: Draw the histogram. On a horizontal axis, mark the class intervals. On the vertical axis, mark the frequency for each class. Draw vertical bars to represent the frequency in each class. Make the bars touch each other so that it shows a continuous distribution.

Here's the histogram of the given data:

```

           Frequency

           |

           |    x

           |    x

   --------|----|----|----|----|---|---

          30   40  50   60   70  80  90

          |        Class intervals       |

```

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If f(x) = 6x-6, find x when f(x) = 36.

Answers

Answer:

x=7

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

given f(x) = 6x - 6 and f(x) = 36 , then equating gives

6x - 6 = 36 ( add 6 to both sides )

6x = 42 ( divide both sides by 6 )

x = 7

(05.01 LC)

NEED HELP ASAP ILL MARK BRAINLIEST IF CORRECT
What is the slope of the line segment?

1/4
-1/4
4
−4

Answers

Answer:

We can tell by looking at the graph that it is a positive slope, so we can eliminate answers b and d.

It is rise over run. from a point, it goes up 4, and over 1.

4/1

which would be 4. The answer is C! Hope this helps!

Step-by-step explanation:

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

Let's consider two points on the line and calculate its Slope ~

(4 , 1)

(8 , 2)

Slope (m) of a line is :

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

[tex]\qquad \sf  \dashrightarrow \:m = \dfrac{2 - 1}{8 - 4} [/tex]

[tex]\qquad \sf  \dashrightarrow \:m = \dfrac{1}{4} [/tex]

a car travels at an average speed of 40km/h for 2.2 hours how far did the car travel in km

Answers

Answer:

88km

Step-by-step explanation:

If a car travels 40 km in 1 hour, then that same car would travel 40*2.2 km in 2.2 hours.

So, the car travelled 88km in 2.2 hours

Remember that speed is a rate!

Answer:

speed=distance/travel time

distance=2*40+60*3=80+180=260 km

travel time=2+3=5 hrs

Average speed during entire journey=260/5=52 km/h

Coach Bennet’s high school basketball team has 14 players, consisting of six juniors and eight seniors. Coach Bennet must select three players from the team to participate in a summer basketball clinic.
To choose the three players fairly, Coach Bennet decides to set up a free throw contest. The three players who make the most consecutive free throws will get to go to the summer basketball clinic.

How many different orders of top-three finishers are possible?
Drag the tiles to the correct locations on the equation. Not all tiles will be used.

Answers

Answer:

nCr = 14!/3!11! =364

Step-by-step explanation

Rectangle KLMN is graphed on the coordinate plane below. On a coordinate plane, rectangle K L M N has points (2, negative 2), (5, negative 2), (5, negative 4), (2, negative 4). The figure is rotated 360° counterclockwise using the origin as the center of rotation. What is the location of the image of point K? (2, –2) (2, 2) (–2, 2) (–2, –2)

Answers

Answer:  The correct option is (A) (2, -2).

Step-by-step explanation:  Given that rectangle with vertices at K, L, M and N is graphed on the coordinate plane as shown in the figure.The figure is rotated 360° counterclockwise using the origin as the center of rotation.

We are to find the location of the image of point K after the rotation.

We know that

a rotation of 360° in counterclockwise direction about the origin map a point to itself. That is, the co-ordinates of the image point will be same as the original one.

From the figure, we see that the co-ordinates of point K are (2, -2).

Therefore, after rotation of 360° counterclockwise using the origin as the center of rotation,

the co-ordinates of the image of point K will also be (2, -2).

Thus, the location of the image of point K is (2, -2).

Option (A) is CORRECT.

Answer:

A

Step-by-step explanation:

If x = -3 and y = -5, what does 3x - 2y equal???

Answers

Step-by-step explanation:

3x-2y

3*(-3)-2*(-5)

-9+10

1

3(-3) - 2(-5)

-9 + 10

1

Why is Dexter’s claim incorrect? 8-4 Additional practice

Answers

By talking to his baby sister differently from the way he speaks to his teacher, this shows that he is developing an understanding of pragmatics.

What is pragmatics?

This can be used to explain the part of linguistics that has to do with the use of language in its given context.

The use of pragmatics comes up in conversations, and implications of what is being said.

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what is the surface area of the green shapes there all the same

Answers

Answer:

I believe the answer is 10

Step-by-step explanation:

4x5 is 20 divided by 2 is 10. I hope you find this as helpful and correct, I am sorry if I am wrong.

In a pet store there are a total of 25 animals 15 of the animals are dogs term is the ratio of animals that are not dogs to the total animals in the store explain the reasoning
for your answer

Answers

Answer:

25.15

Step-by-step explanation:

the 25 comes before the 18 in the sentence. super easy

laura cuts a square out of scrap paper. what is the angle measure of the piece left over?
HURRY UP I NEED THIS ANSWER BEFORE 12:30!!!

Answers

Answer:

I would be a right angle or 90°

Explanation:

If a square is cut out of the paper, every corner of a square is a right angle, so there's your answer.

hope i helped :)

write y=x^2-6x+17 in vertex form. step by step

Answers

Step-by-step explanation:

the general vertex form is

y = a(x - h)² + k

with (h, k) being the vertex.

after doing all the multiplications we get

y = a(x² - 2hx + h²) + k = ax² - 2ahx + ah² + k

our original equation is

y = x² - 6x + 17

and now we simply compare the cording parts :

ax² = x²

a = 1

-2ahx = -2hx = -6x

-2h = -6

h = -6/-2 = 3

ah² + k = 17

3² + k = 17

9 + k = 17

k = 8

so the vertex form is

y = (x - 3)² + 8

What is the value of x in this figure?
Enter your answer in the box.

Answers

I think it’s 78 degrees because it’s the same size

What is the area of the trapezoid shown below?

Answers

Answer:

78 sq. units

Step-by-step explanation:

1/2 × (7+19) × 6 = 78

What is the volume of a sphere with a radius of 8 m, rounded to the nearest tenth of a cubic meter?

Answers

given:

radius= 8 m

to find:

the volume of the sphere

solution:

[tex]v = \frac{4}{3} \pi {r}^{3} [/tex]

[tex]v = \frac{4}{3} \times \pi \times {8}^{3} [/tex]

[tex]v = 2144.66058 \: {m}^{3} [/tex]

[tex]v = 2144.7 \: {m}^{3} [/tex]

therefore, the volume of the given sphere is 2144.7 cubic meters.

Given:r= 8 meterNote that:r: radius To find:The volume of the given sphere to the nearest hundredth.Solution:A sphere is a 3D shape with 2 dimensional circles.

[tex]\large\boxed{Formula: V= \frac{4}{3}\pi {r}^{3}}[/tex]

In this question the radius is given so we'll simply have to substitute the values and solve.

Let's solve!

Substitute the values according to the formula.

[tex]V= \frac{4}{3}\times\pi\times{8}^{3}[/tex]

Calculator value:

[tex]V= 2144.660585 \: {m}^{3}[/tex]

Now, we'll have to round off to the nearest tenth.

The value in hundredths place is greater than 5 so, we will have to round up which means, we'll have to add 1 to the tenths place.

Final answer:

[tex]\large\boxed{V= 2144.7 \: {m}^{3}}[/tex]

Hence, the volume of the given sphere is 2144.7 cubic meters.

need this answered ASAP
type the correct answer in the box.
Mitten crabs are an invasive species in North America. A coastal ecosystem has a population of 320 mitten crabs. The population is predicted to increase by 50% per year. The population will reach an estimated 1,620 crabs in ___ years.

Answers

Answer:

10 1/8 years?

I hope this is right!

Step-by-step explanation:

Answer: 2.5

Step-by-step explanation:

Given f(x) and g(x) = k•f(x), use the graph to determine the value of k.

Answers

Step-by-step explanation:

the slope of f(x) = 1

for every increase of x by 1 also y increases by 1.

the slow of g(x) = -2

for every increase of x by one y decreases by 2.

so, we see, as

g(x) = k × f(x)

k = g(x) / f(x) = slope g / slope f = -2/1 = -2

why ? because both functions are linear functions (lines).

they look like

y = ax + b

with a being the slope of the line.

so, when multiplied by k, this is kax + kb, and we see k as factor already in the slope of the line itself.

What is the length of the unknown leg of
the right triangle rounded to the nearest
tenth of a meter?
11 m
?
42.8 m

Answers

Answer:

The length of the unknown leg is 5.66 yards

Step-by-step explanation:

[tex]Hypotenuse^2=opposite^2-adjacent^2[/tex]

[tex]Hyp^2=opp^2+adj^2[/tex]

[tex]Hyp=\sqrt{42.8}[/tex] [tex]yards[/tex]

[tex]Opp=\sqrt{11}[/tex] [tex]yards[/tex]

[tex]Adj=?[/tex]

[tex]Adj^2=Hyp^2-opp^2[/tex]

[tex]=(\sqrt{42.8} )^2-(\sqrt{11} )^2[/tex]

[tex]=42.8-11[/tex]

[tex]=31.8[/tex] → [tex]32[/tex]

[tex]Adj^2=32[/tex]

[tex]Adj=\sqrt{32}[/tex]

= 5.66 yards

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