A tent is in the shape of a triangular prism shown below.



What is the lateral surface area of the prism?

9514 1404 393

Answer:

  453.9 m²

Step-by-step explanation:

It considerably simplifies the area calculation to assume the figure decomposes to a parallelogram and an equilateral triangle.

The area of the parallelogram is ...

  A = bh

  A = (17 m)(6 m) = 102 m²

The area of the equilateral triangle—using the given altitude—is ...

  A = 1/2bh

  A = 1/2(17 m)(14.7 m) = 124.95 m²

The area of the whole figure is double the sum of these areas, so is ...

  A = 2(102 m² +124.95 m²) = 453.9 m²

The area of the shape is 453.9 m².

__

Additional comment

Unless we make some assumptions about the location of the concave exterior angle at the left and right, we cannot compute the area of the figure. At least, we must assume the 10 m segments are parallel. If that is the only assumption, and other dimensions are taken at face value, the area of the figure computes to about 453.4 m². As you can see from the attachments, the altitude of 14.7 is not quite enough to make the triangle equilateral. That prevents the quadrilateral from being a parallelogram.

Further dividing the quadrilateral along its short diagonal, various lengths and angles can be found using the law of sines and the law of cosines. Then the figure area can be found as the sum of triangle areas: two triangles in the quadrilateral, and the one with altitude 14.7. This alternate approach is shown in the second attachment.

Answer:

I got you!

The correct answer is B Fitteen is less than r

To translate that into a numerical inaquiltiy, that is 15<r but the answer to the question is B.

Hope this helps!

Brainliest would be nice!

Answer:

B

Step-by-step explanation:

Hello There!

An inequality must include < or > which means greater than or less than

This meaning that the inequality when shown by using words must include the is less than or more (sometimes greater) than

The answer would be B because it uses the expression is less than which can be represented by the inequality sign <

15 is less than r

exchange the inequality sign with is less than

15 < r

they still have the same meaning and it is written as an inequality

Reasons why its not the other answer choices

For A:

Four times 0.45 plus x

written as an expression:

4(0.45+x)

the expression does not include < or > therefore the statement "Four times 0.45 plus x " cannot be written as an inequality

For C:

Half the product of 4 and s

written as an expression:

[tex]\frac{4s}{2}[/tex]

once again the expression does not include an inequality sign therefore C is not the answer.

For D:

eight times p is 20

written as an expression

8p = 20

Like the other answer choices the expression does not include an inequality sign therefore D is not the correct answer choice

Answer:

48 feets

Step-by-step explanation:

Given that:

Maggie descends 14 feets in 2 1/3 minutes

14 feets takes 7/3 minutes

The amount of feets she descends after 8 minutes will be x ;

14 = 7/3

x = 8

Cross multiply

7/3 * x = 14 * 8

7x /3 = 112

7x = 112 * 3

7x = 336

x = 336 / 7

x = 48 feets

Answer:

30+8%=C

Step-by-step explanation:

place the cost of the bag first then add the precent and make it equal to C wich is cost

Answer:

y - 3 = (-5/7)(x + 4)

Step-by-step explanation:

The given line, y = 7/5x-2/5, has a slope of 7/5.  Any line perpendicular to this one must have a slope tht is the negative reciprocal of 7/5, which is -5/7.

Use the point-slope formula to come up with an equation for this new line:

y - 3 = (-5/7)(x + 4)

45 OR 46

It depends on which month and day she is born on in 1975.

If you want it from todays current date, she would be 46.

If her birthday is the 11 / 04 / 1975 (eleventh of April) -  31 / 12 / 1975 (thirty-first of December) then she is 45 years old. If her birthday has already passed in 2021 she is 46.

Answer:

Not very likely

Step-by-step explanation:

Brₐinliest plz

Answer:

i thought i had the answer but then i got it wrong im sorry

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark

The side opposite (the side not connected to the angle) and the hypotenuse relate the sine

Equation

Sin(y) = opposite / hypotenuse

Solution

y = 41 degrees

hypotenuse = 12

x = ?

Sin(41) = x / 12                     Multiply both sides by 12

12 Sin(41) = x

Sin(41) = 0.6561

12 * 0.6561 = x

x = 7.8727

Answer: 182 report cards

Step-by-step explanation:

The ratio of the number of report cards Mrs. Thomas folded to the number of report cards Mrs. Maas folded is 2:3.

Mrs. Maas folded 273 report cards so the number of report cards folded by Mrs. Johnson can be found using direct proportion. Assume Mrs. Johnson folded x report cards:

2             :            3

x              :         273

Cross multiply to get:

3x = 546

x = 546 / 3

x = 182 report cards

Donna borrowed $10,500 at a simple interest rate of 4% for 3 years to buy her new car. How much interest would Donna pay and how much is the car altogether ?

[tex] \bullet [/tex] Principal (P) = $10,500

[tex] \bullet [/tex] Rate of interest (r) = 4%

[tex] \bullet [/tex] Time (t) = 3 years

Interest of Donna and amount of car altogether.

We know,

[tex] { \boxed{\rm \red {I \: = \frac{Prt}{100}}}} [/tex]

[tex] \therefore [/tex] I = [tex] \frac{10,500 \: × \: 4 \: × \: 3}{100} [/tex]

I = [tex] \frac{126,000}{100} [/tex]

I = $1260

Now,

Amount of the car = $ (10,500 + 1260)

= $ 11,760

Step-by-step explanation:

We know that Interest = Principal×Rate×Time/100

So,

10,500×4×3/100

= 10,500×3/25 (by cancelling 100 by 4)

=31500/25

= 1260

Therefore,

$1260 Answer

hope it helps.....

Answer: C. (10, -10)

Step-by-step explanation:

Given

1) 2x-3y=50

2) 7x+8y=-10

Multiply both sides of 1) equation by 3.5

1) 3.5(2x-3y)=3.5×50

   7x-10.5y=175

2) 7x+8y=-10

Subtract 2) equation from the 1)

(7x-10.5y)-(7x+8y)=175-(-10)

-18.5y=185

y=-10

x=10

(10, -10)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

resultant vector = 25.2

Step-by-step explanation:

we apply cosine theorem

Answer:

I hope this would help you:)

Answer:

means is 339.142 degrees

Step-by-step explanation:

mean= sum of all values /number of values

mean=2374/7

mean=339.142

Answer:

salak

Step-by-step explanation:

Answer:

-2.1 so you divide 6.3 and -3 and then boom that your answer

Answer:

[tex]x=-2.1[/tex]

Step-by-step explanation:

1. Solve the equation using division

[tex]\frac{-3}{-3} x=\frac{6.3}{-3}[/tex]

2. Solve equation

[tex]x=-2.1[/tex]

3. Check answer

[tex]-3(-2.1)=6.3\\6.3=6.3[/tex]

[tex] \color{magenta} \huge{ \tt{{Answer}}}[/tex]

8.) The volume of a cuboid 12cm long 9 sm broad and 6 cm high is?

Note: My answer is base on my understanding to your question.

Hopefully Help:)

_MafiaQueen4

Answer:

2

Step-by-step explanation:

Answer:

I hope that is useful for you :)

Answer:

The answer is a

Step by step

Multiplication

8×5 = 40

8×3 = 21

21/40

Step-by-step explanation:

Answer:

487,988.40

Step-by-step explanation:

I took the test

Answer:

f(3)=10

Step-by-step explanation:

got the answer right on a test!

Answer:

the height of the flagpole is 5 meters

Step-by-step explanation:

The computation of the height of the flagpole is given below

Given that

the length of the rope is 13 meters

And, the ground would be 12 meters

Based on the above information, the height of the flagpole is

= √13^2 - √12^2

= √169 - √144

= √25

= 5 meters

hence the height of the flagpole is 5 meters

Answer:

D, 3/5

Step-by-step explanation:

Sin equals opposite over hypotenuse.

The side opposite of Z is 30, the hypotenuse is 50

30/50 simplifies to 3/5

Answer:

Se contagiarian 160 personas.

Step-by-step explanation:

Para este problema debenos usar la siguiente regla de tres:

[tex]\frac{10(personas)}{4(enfermas)}=\frac{400(personas)}{x(enfermas)}[/tex]

Ahora, debemos despejar x de la ecuacion de arriba.

[tex]x=\frac{400(personas)*4(enfermas)}{10(personas)}[/tex]

[tex]x=160(enfermas)[/tex]

Por lo tanto, se contagiarian 160 personas.

Espero te haya sido de ayuda!

Answer:

1 : 4

Step-by-step explanation:

Given:

Favorite Music :

Pop _____ 7

Country __ 5

Dance ___ 4

Total number of students surveyed :

(pop + country + dance). = (7 + 5 + 4) = 16

Number who chose dance = 4

Ratio of dance to total number surveyed

4 : 16 = 1 : 4

1 :4 (lowest term)

Answer:

The triangles are not similar

Step-by-step explanation:

The sides are not proportional

36/73 does not equal to 15/30

Answer:

1.5

Step-by-step explanation:

[tex]\frac{2x3}{4}= \frac{6}{4}[/tex]  

[tex]\frac{6}{4}[/tex]   ÷2=

[tex]\frac{3}{2}[/tex]

Hope this helps     :)

Answer:

1 1/2 or 3/2

Step-by-step explanation:

2 x 3/4

6/4

3/2

1 1/2