5.
The cross-section of a triangular prism is a right-angled isosceles triangle with one of the
equal side 6cm.If the length of the prism is 82 cm, calculate the total surface area and
volume of the prism.
which is wailable from your science practical
ria​

Answers

Answer 1

Answer:

Part A

The total surface area of the triangular prism is approximately 1715.793 cm³

Part B

The volume of the triangular prism is 1,476 cm³

Step-by-step explanation:

Part A

The given parameters are;

The shape of the cross-section of triangular prism = Right-angled isosceles triangle

The length of one the of the equal side = 6 cm

The length of the prism = 82 cm

Therefore, the height of the triangular cross section of the prism = 6 × sin(45°) = 3·√2 cm

The base length of the cross section, l = √(6² + 6²) = √72 = 6·√2 cm

The area of the triangular cross section of the triangular prism = 1/2 × Base × Height

∴ The area of the triangular cross section of the triangular prism = 1/2 × 6·√2 cm × 3·√2 cm = 18 cm²

The total surface area of the triangular prism = 6 × 82 × 2 + 82 × 6×√2 + 2 × 18 ≈ 1715.793 cm³

The total surface area of the triangular prism ≈ 1715.793 cm³

Part B

The volume of the triangular prism = The area of the triangular cross section × The length of the triangular prism

∴ The volume of the triangular prism = 18 cm² × 82 cm = 1,476 cm³.


Related Questions

Please help!!!!! Select the interval

Answers

Step-by-step explanation:

When f(x) > 0, the graph is above the x-axis.

Only -2 < x < -1 is above the x-axis. (A)

translate into an algebraic expression and simplify if possible. what number exceeds m by five more than n

Answers

Answer:

If the number is x, then the equation is;

x-m = 5 + n

Step-by-step explanation:

Here, we want to write the given statement in algebraic form

What number exceeds m by five more than n

Let the number be x

x-m = n + 5

Answer I know the answer I’m just making sure if I’m correct, thanks. Plug in -5 for every x.

Answers

.................................

HELP IM TIMED
What is the multiplicative rate of change of the function? One-third Two-thirds 2 9

Answers

One third two to thirds is going to 8/27

Answer:

B/2) Two-Thirds Or 2/3

Step-by-step explanation:

find the value of X in each of the given triangles.​

Answers

Answer:

x = 24

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Geometry

All angles in a triangle add up to 180°

Step-by-step explanation:

Step 1: Set Up Equation

3x + 2x + 60° = 180°

Step 2: Solve for x

Combine like terms:                    5x + 60 = 180Isolate x term:                              5x = 120Isolate x:                                       x = 24

Type the correct answer in the box use numerals instead of words

Answers

Answer:

Subtracting [tex]3x^2+4x-5[/tex] from [tex]7x^2+x+9[/tex] results in a polynomial. After subtracting [tex]4x^2-3x[/tex] from this polynomial the difference is 14

Step-by-step explanation:

The question given is:

Subtracting [tex]3x^2+4x-5[/tex] from [tex]7x^2+x+9[/tex] results in a polynomial. After subtracting [tex]4x^2-3x[/tex] from this polynomial the difference is?

First we will Subtracting [tex]3x^2+4x-5[/tex] from [tex]7x^2+x+9[/tex]

[tex]7x^2+x+9-(3x^2+4x-5)\\=7x^2+x+9-3x^2-4x+5\\Combining\:like\:terms\\=7x^2-3x^2+x-4x+9+5\\=4x^2-3x+14[/tex]

So, the polynomial we get is: [tex]4x^2-3x+14[/tex]

Now, subtracting [tex]4x^2-3x\: from\: 4x^2-3x+14[/tex]

[tex]4x^2-3x+14-(4x^2-3x) \\=4x^2-3x+14-4x^2+3x\\Combining\:like\:terms\\=4x^2-4x^2-3x+3x+14\\=14[/tex]

The difference is 14

So, Subtracting [tex]3x^2+4x-5[/tex] from [tex]7x^2+x+9[/tex] results in a polynomial. After subtracting [tex]4x^2-3x[/tex] from this polynomial the difference is 14

Write a real-word problem that can be modeled by 4*(-7).​

Answers

Answer:

Kimberly is hiking a huge canyon. Every very hour, she hikes down the canyon, and gets -7 feet deeper. How many feet deep is she in 4 hours?

Step-by-step explanation:

I hope this is good.

Number 8 please thank you people>>>>>

Answers

Answer:

I believe the correct answer is C.

Step-by-step explanation:

When you put it in simplest firm they equal the same ratio:

1/5

Ms. Albero decided to make juice to serve along with the pizza at the Student Government party. The directions said to mix 3 scoops of powdered drink mix with 1 gallon of water to make each pitcher of juice. One of Ms. Albero's students said she will mix 12 scoops with 3 gallons of water to make 4 pitchers. How can you use the concept of proportional relationships to decide whether the student is correct?

Answers

Answer: ok

Step-by-step explanation:

If 12 juice boxes cost $4.20 how much would fifteen juice boxes boxes cost

Answers

Answer:

$5.25

Step-by-step explanation:

Calculation for how much would fifteen juice boxes cost

Cost of fifteen juice boxes=15/12=x/$4.20

Cost of fifteen juice boxes=x=15*$4.20/12

Hence,

x=63/12

x=$5.25

Therefore the amount that the fifteen juice boxes would cost is $5.25

Answer:

$5.25

Step-by-step explanation:

First, we need to divide $4.20 by 12.

4.20 / 12 = 0.35

We now know that a juice box costs $0.35.

Now, multiply $0.35 by 15.

0.35 * 15 = 5.25

So the answer is $5.25.

I hope this helps!

Find the value of A in the following expression
x³ + x² - 2Ax + A² has remainder 8 when divided by x - 2

Answers

Answer:

Let p(x) = x3 + ax2 + bx +6

(x-2) is a factor of the polynomial x3 + ax2 + b x +6

p(2) = 0

p(2) = 23 + a.22 + b.2 +6 =8+4a+2b+6 =14+ 4a+ 2b = 0

7 +2 a +b = 0

b = - 7 -2a -(i)

x3 + ax2 + bx +6 when divided by (x-3) leaves remainder 3.

p(3) = 3

p(3) = 33 + a.32 + b.3 +6= 27+9a +3b +6 =33+9a+3b = 3

11+3a +b =1 => 3a+b =-10 => b= -10-3a -(ii)

Equating the value of b from (ii) and (i) , we have

(- 7 -2a) = (-10 - 3a)

a = -3

Substituting a = -3 in (i), we get

b = - 7 -2(-3) = -7 + 6 = -1

Thus the values of a and b are -3 and -1 respectively.

please mark me brainliest and follow me my friend.

Please solve for x
y+x=89
y=11
x=???

Answers

Answer:

78

Step-by-step explanation:

11 + x = 89                Subtract 11

11 - 11 + x = 89 -11

x = 78

Step-by-step explanation:

Hey there!

Given;

y+x= 89.......(a)

y = 11

~ Substitute the value of y on equation (a)

11+x = 89

~ Subtract 11 from both sides.

11+X -11 = 89-11

x = 78.

Therefore, the value of x is 78.

Hope it helps....

find the mode of the given data 4,6,5,9,9,9,9,10,12.
please answer me fast ​

Answers

Answer:

9

Step-by-step explanation:

This is the answer because:

1) The mode is the element that occurs most in the data set. In this case, 9  occurs 4 times.

Therefore, the answer is 9.

Hope this helps! :D

The answer is 9
The mode is the number that shows up most in the set of numbers . 9 shows up the most

please answer someone!! I need this asap!!!​This is in similarity! I need to find the lengths marked by the letter

Answers

Answer:

[tex]H = 59.4[/tex]

Step-by-step explanation:

The question is an illustration of dilation.

From the small shape, we have:

[tex]Body = 3[/tex]

[tex]Height = 2.2[/tex]

From the big shape, we have:

[tex]Body = 81[/tex]

Height = ??

Because it is a dilation, the ratio of the bodies must be equal to the ratio of the heights

i.e.

[tex]Body_{Small} : Body_{Big} = Height_{Small} : Height_{Big}[/tex]

Substitute the right values

[tex]3 : 81 = 2.2 : H[/tex]

Express as fraction

[tex]\frac{3}{81} = \frac{2.2}{H}[/tex]

[tex]\frac{1}{27} = \frac{2.2}{H}[/tex]

Make H the subject

[tex]H = 2.2 * 27[/tex]

[tex]H = 59.4[/tex]

Hence, the height of the big shape is 59.4 units

Write a positive or negative integer that represents the situation.

You earn 7 points in a game.

Answers

Answer:

what situation...there"s no any situation

i’m pretty sure the answer is positive 7

What is 24.5 divided by 2? Please show your work.

Answers

Answer: 12.25

Explanation:

5 less than the number k

Answers

Answer:

5 less than the number k(k-5) is the right answer.

Suzy's kitchen measures 21 feet by 3 feet. She would like to add a small tile border around the entire room. How much should she expect to pay if the tile strip costs $0.95 per foot.

Answers

Find the area of kitchen

21×3=63

if tile costs $0.95 per foot,

then 63÷0.95=66.36

thus the cost will be $66.36

The school cafeteria sold 283 slices of pizza and 66 apples what is the ratio of the number of slices of pizza sold to the number of apples sold?


A.283:66


B.283:195


C.283:129


D.283:261


PLEASE HELPPPP I will give brainly try your hardest

Answers

Answer:

283:66 (A)

(Can I get brainliest please)

Answer:

Answer

Aaaaaaaa it had to be at least 20 characters

Javier is helping his parents put up posters in their movie theater. Each poster has a thickness of 0.012 inch. How thick is a stack of 10 posters? 100 posters? 1,000 posters?
and why

Answers

Step-by-step explanation:

1=0.012inch

10=0.012x10

10=0.12inch

100=0.012x100

100=1.2inch

1000=0.012x1000

1000=12inch

because if 1 poster has a thickness of 0.012 inch

than you have to multiple the number of posters with 0.012 inch

Can someone please help with this question?

Answers

Answer:

2,4,1

Step-by-step explanation:

since mode means the number that occurs most often in the data set. The numbers 1,2, and 4 all occur three times meaning they occur most often

Steven’s retirement income is $54,500. Assuming it is 70% of his final salary, what was his final salary?

$38,150
$54,500
$77,857
$81,985

Answers

Answer:

third choice

Step-by-step explanation:

His final salary must be 100% so to find it,

100%/70%×$54500

=$77857.14≈$77857

Answer:

77,857$

Step-by-step explanation:

correct on odyssey


What is the value for x?
Angle A=73°
Angle B=(6x + 4)º
Angle C=(8y-7)° Enter your answer in the box.
X=

Answers

The value of x is 5 from the diagram.

The sum of angles in a triangle.

The sum of interior angle of a triangle is 180 degrees. Hence:

m<A + m<B + m<C = 180

From the information given,;

73 = 8y - 7 (base angles are equal)

8y = 80

y = 10

Take the sum of the angles:

73  + 6x + 4 + 73 = 180

6x + 150 = 180

6x = 30

x= 5

Hence the value of x is 5 from the diagram.

Learn more on triangles here: https://brainly.com/question/2938476

The value of x is 5.

Since triangle ABC is an isoceles triangle, angle A = Angle C(base angles of an isoceles triangle are equal)

Since angle A = 73° and angle C = (8y - 7)°

angle A = angle C

73 = 8y - 7

Adding 7 to both sides, we have

73 + 7 = 8y - 7 + 7

80 = 8y

Dividing both sides by 8, we have

y = 80/8

y = 10

Also, angle A + angle B + angle C = 180° (sum of angles in a triangle)

73 + 6x + 4 + 8y - 7 = 180

Collecting like terms, we have

73 + 4 - 7 + 6x + 8y = 180

6x + 8y + 70 = 180

Subtracting 70 from both sides, we have

6x + 8y + 70 - 70 = 180 - 70

6x + 8y = 110

Making x subject of the formula, we have

6x = 110 - 8y

x = (110 - 8y)/6

Substituting the value of y into the equation, we have

x = (110 - 8y)/6

x = (110 - 8 × 10)/6

x = (110 - 80)/6

x = 30/6

x = 5

So, the value of x is 5.

Learn more about angles in a triangles here:

https://brainly.com/question/7888180

PLEASE HELP!!!
Solve the inequality:
5 (2x-3) - 6x > -2 (x - 6) +3

Answers

Answer:

x>5

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

4x−15>−2x+15

Step 2: Add 2x to both sides.

4x−15+2x>−2x+15+2x

6x−15>15

Step 3: Add 15 to both sides.

6x−15+15>15+15

6x>30

Step 4: Divide both sides by 6.

Answer:

x>5 have a great day

Step-by-step explanation:

what is the answer to the question?​

Answers

Substitute the given number into the equation

Sum = 180(15-2)

Solve brackets

180(13)

Which is equal to 2340

So, the sum of interior angles is 2340 degrees


When sandy and allen's mother decorates the house by herself, it takes her 5 hours.When both Sandy and Allen help, the three can finish the job in 2.5 hours.

Answers

If you're asking how this is possible,

Answer and explanation:

If Sandy and Allen's mother does the job in 5 hours

And Allen and Sandy's contributions completes the job in 2.5 hours

5 hours - 2.5 hours =2.5 hours

Allen and Sandy's contribution is half of the time it took only Allen and Sandy's mother= 2.5 hours

Therefore Allen and Sandy together will take 2.5×2 = 5 hours to complete the job alone without their mother

A similar example: if it takes one person 2 hours to peel 5 potatoes and it takes 1 hour to peel same number of potatoes if a second person helps, then this second person reduces the time used by 1 hour(50%) and would take 2 hours to complete the work.

At a quick-lunch counter, 3 pretzels and 1 soda cost
$2.75. Two pretzels and 1 soda cost $2.00.
What is the cost of a pretzel?

Answers

Answer:

I really did try man ;-;

Step-by-step explanation:

Find the next 4 terms in this sequence. Show your work to​

Answers

Answer:

[tex]a_2 = a_1 + 6 = -13 + 6 = -7[/tex]

[tex]a_3 = a_2 + 6 = -7 + 6 = -1[/tex]

Step-by-step explanation:

Can you find a₄ and a₅ yourself?

Answer:

a1=-13 so a-13-1+6=-8 continue with this formula and you will get the 3 left terms

and the next -8-1+6=-3

and the -3-1+6=2

the last one 2-1+6=7 that's all

Is x = 15 a solution to the equation 8x − 8 = 120

Answers

Answer:

No

Step-by-step explanation:

if x = 15, 8 x 15 = 120

3x+7y=17
3x-6y=4
solve this by elimination method plzzzzzzzzzzzzz helppppppppppppp meeeeeeeeeee

Answers

Answer:

[tex](\frac{10}{3}, 1)[/tex]

Step-by-step explanation:

1) In order to solve a system of equations with the elimination method, you need to add or subtract the two equations and "eliminate" variables by canceling out terms. This leaves you with an equation with only one variable to solve. Then, once you solve that equation, you can substitute the answer you got into one of the system's equations to find either the x or y value.

This problem already has one 3x in each equation, so let's focus on canceling that term out, eliminating the x variable. To set up this situation, we need one 3x to be negative, so let's multiply the terms in 3x-6y = 4 by -1, which gets us to -3x + 6y = -4. Now let's "cancel out" those x variables by adding them together.  (This work is shown in the first picture.)

Remember to add the other terms. This leaves us with the equation 13y = 13. By isolating y, we can find its value, which leaves us with y = 1.

2) Next, let's substitute 1 for y in one of the two equations. In this case, I used 3x + 7y = 17. Then, isolate x to find its value:

[tex]3x + 7 (1) = 17\\3x + 7 = 17 \\3x = 10 \\x = \frac{10}{3}[/tex]

Therefore, the answer would be [tex](\frac{10}{3} , 1)[/tex].

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