Find the total surface area of this triangular prism.
30 cm
18 cm
7 cm
24 cm

Find The Total Surface Area Of This Triangular Prism.30 Cm18 Cm7 Cm24 Cm

Answers

Answer 1

Answer:

936 cm²

Step-by-step explanation:

The surface area is the sum of all the faces.

The base is a rectangle with

area = 24 × 7 = 168 cm²

The back is a rectangle with

area = 18 × 7 = 126 cm²

The sloping face is a rectangle with

area = 30 × 7 = 210 cm²

The 2 triangular faces are congruent with

area = 2 × [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height ), then

area = 2 × [tex]\frac{1}{2}[/tex] × 24 × 18 = 24 × 18 = 432 cm²

Then

surface area = 168 + 126 + 210 + 432 = 936 cm²


Related Questions

EXAMINE THE PARAGRAPH PROOF. WHCIH THEOREM DOES IT OFFER PROOF FOR?

Answers

Answer:

The answer is C.

Step-by-step explanation:

The theory of vertical angles, often known as the theorem of vertically opposite angles. According to the theorem, two opposed vertical angles created when two lines cross one other are always equal (congruent) to each other no matter what the circumstances are.

If i can get 2 Amy's organic soup for $4 how much would it be for 1 Amy's organic soup?

Answers

Answer: $2

Step-by-step explanation:

just do 4 divided by 2 and your answer is 2

Answer:

$2 for 1 Amy's Organic Soup

Step-by-step explanation:

Since 2 of Amy's Organic Soup is = $4

Divide to find the Unit Rate for the cost of 1 soup.

Let x = Cost of Amy's Organic Soup

$4 = 2x

$4/2 = 2x/2

$2 = x

The perimeter of an equilateral triangle is 24 cm. Find the length of each sides

Answers

Answer:

8cm

Step-by-step explanation:

An equilateral triangle means that all the sides are equal (the same length). A triangle has 3 sides so all we have to do is:

24/3 = 8

Each side is 8cm long

Answer:

Length of each sides = 8 cm

Step-by-step explanation:

Given the perimeter of an equilateral triangle, 24 cm:

Equilateral triangles have three congruent sides.

Hence, to find the length of an equilateral triangle, simply divide the perimeter by 3 (since an equilateral triangle has three equal sides).

Perimeter of an equilateral triangle = 24 cm

Side = 24 cm ÷ 3 = 8 cm

Therefore, the length of each side is 8 cm.

I need help with this pls

Answers

Answer:

what is the imaginary part of 84-25i

Step-by-step explanation:

the result is -25i

I hope I've helped

Dave created a video that was originally 64 minutes long, but he ended up cutting it by 13%. How long was his video after he cut it?

Answers

Answer:

70 minute

it was help full

We have to find 13% of 64 minutes. So that’s 64 x 13 / 100= 8.32 minutes
Now subtract that from 64 minutes:
64-8.32= 55.68 minutes

10 points
A bank charges $27 every week. Which integer shows the amount
charged after 5 weeks?

Answers

Answer:

135

Step-by-step explanation:

27 x 5 =135

Find a translation that has the same effect as the composition of translations below. (x,y) → (X + 2, Y + 2) followed by (x,y)=(x-1,y+5)
Choose the correct answer below.
O A. (x,y)=(x+3.y + 7)
OB. (x,y)=(x + 1 y + 7)
OC. (x,y)=(x + 1,y-3)
OD. (x,y)=(X+3.y-3)

urgent will mark brainliest!!! ​

Answers

B) (X + 1, Y + 7)

We start with X + 2, we then take away X - 1, we are left with X + 1.

We start with Y + 2, we then add Y + 5, we are left with Y + 7.

The only option that has both X + 1 and Y + 7 is B.

I hope this helps! :)

please help me with this:(((((​

Answers

1.) Not sure about the first one
2.) 2
3.) Y=3x-9

pLS HELP ME 15 points in total

Answers

Answer:

Its 53 because 1=1 and 2=2

Step-by-step explanation:

easy one for you folks.​

Answers

Length = 4m

Width = ½ of length = ?

Then width will be,

→ 4 × 1/2

→ 4 ÷ 2 × 1

→ 2 × 1 = 2

Thus, 2 is the width.

Can someone pls help me pls!

Answers

Answer:

refer to the picture attached for steps

Write a linear function f with the given values. (-4,-2)(-2,-1)(0,0)

Answers

Answer:

The slope is: (y1 - y2)/(x1 - x2) = [(-1) - (-10)] / [0 - 3] = 9/-3 = -3. So the slope is -3. To plug the values into the point slope form

Step-by-step explanation:

For this, you are just looking for x and y coordinates

which statement correctly compares the function shown on this graph with the function y = 3x - 6?

Answers

Answer:

Perpendicular

Step-by-step explanation:

The equation of the graph is y = 1/3x  + 4

The slope 1/3 and 3 are opposite reciprocals, which indicates that the two lines are perpendicular.

-Chetan K

HELP!!! need answers for these questions please. Thank You for anyone who solves atleast one of them!

Answers

5. 4/9 probability

Explanation; You would do (4/13)/(9/13) and that = 4/9.

5b. I don't really get it, it sounds like its asking the same thing.

I gotta go so i will finish later hopefully

Adam bought 6 dozen balloons and filled them all with air. The air cost him
$.25 each balloon to have filled. Then he divided the balloons between 12 children.
How much did he spend total on the air for the balloons?

Answers

Answer:

Adam spent in total 288

Those are the right answer

Answers

Answer:

100 yes there are trust me

PLZ!!! HELP!!!!!

What is the slope

Answers

Answer:

zero slope

Step-by-step explanation:

horizontal lines are zero slope because they are not slanted (slope)

this is a horizontal line.

Susan has a collection of 90 nickels and dimes. If the number of nickels is five times the number of​ dimes, how many nickels and how many dimes does she​ have?

Answers

Answer:

15 Dimes and 75 Nickles

Step-by-step explanation:

N = Nickles

D = Dimes

5D + D = 90

6D= 90

D= 15

90 - 15 = 75

N = 75

There are 75 nickels and 15 dimes does she​ have.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Susan has a collection of 90 nickels and dimes.

And, The number of nickels is five times the number of​ dimes.

Now,

Since, The number of nickels is five times the number of​ dimes.

Let number of dimes = x

Then, Number of nickels = 5x

Since, Susan has a collection of 90 nickels and dimes.

Hence, We can formulate;

⇒ 5x + x = 90

⇒ 6x = 90

⇒ x = 15

Thus, The number of dimes = 15

And, Number of nickels = 5 × 15  = 75

Therefore, There are 75 nickels and 15 dimes does she​ have.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ5

I need help i will give brainly
A grain silo on a farm holds 500 pounds of grain. The equation shown represents the total amount of grain, y, remaining in the silo x minutes after the farmer begins to release the grain.

y=−5x+500
What does the -5 represent in the equation in reference to this situation?

Answers

Answer:

the negative 5 is showing that you are losing grain in the silo because you are letting some out.

The -5 represents the slope

In this problem, it shows how much rice is being lost which is why the number is negative

[ READ ATTACHMENTS ] !!! [ HELP ME ASAP PLEASE!! ]

A.) $4,000

B.) $5,100

C.) $4,100

D.) $3,900

Answers

Total up the Consumption,Investment, Government Spending and Exports then minus the Total Imports. So the correct answer is C. $4,100

If x = -7 and y = 2, evaluate the following expressions
i) (4y)² – (2x)²
ii) 4y² - 2x² ​

Answers

Answer:i)16y^2−4x^2

ii) i don't know the other one sorry

Step-by-step explanation:

Help I’ll give brainylist in return thank you

Answers

Answer:

They are similar by AA

Step-by-step explanation:

Angle B and C are similar as well as angle ABE and DCE are similar

i need help with this question but keep f
getting decimals, it's not supposed to be a decimal for the answer. were solving systems by substitution

here's the question and will give brainy to someone who solves both

4x - 7y = 10
y = x - 7


x = 16 - 4y
3x + 4y = 8​

Answers

Answer:

1. y=18, x=25 2. y=5, x=-4

Step-by-step explanation:

For the first one, you have to find what x or y equals, and I chose x. x would equal y+7. Then I just plugged in x to the other equation and solved for y. After finding y, 18, I plugged it back into the first equation and got 18+7=25. I did the same steps for the 2nd one as well.

-1/3(2p-9) what does p equal

Answers

Answer:

-2p/3+3

Step-by-step explanation:

1.) The graph of y = -7x - 10 is a ______ that shows the ________ to the equation

2.) find the slope a y-intercept of y=(-7x)-10

Slope = ________
y-intercept = _________

Answers

Answer:

Step-by-step explanation:

1.) The graph of y = -7x - 10 is a ______ that shows the ________ to the equation

I'm not sure what kind of response this question is seeking.  I can only write:

1.) The graph of y = -7x - 10 is a linear equation that shows the  ?  slope and y-intercept to the equation

I don't think these are the answer sought, but it's the best I can think of at the moment.

2.) find the slope a y-intercept of y=(-7x)-10

The slope is -7 and the y-intercept is -10.

What is the Slope of the line containing the points (3,4) and (5,6)? Please help

Answers

Answer:

1

Step-by-step explanation:

Y2-Y1/X2-X1 would become 4-6/3-5 which would become-2/-2 and that equals 1 because its a whole number and when you divide or add two negative numbers, it becomes a positive

help me brain pt Part 1

Answers

True answer is collinear points

Is 11:17 the same as 17:11

Answers

Answer:

It is a ratio, which could mean yes and no, mattering which side of the ratio the number goes to.

Step-by-step explanation:

Answer:

yes because it is the same

Express the following equation in standard form y=5x-3

Answers

Answer:

5x - y = 3

Step-by-step explanation:

Standard form of a linear equation is expressed as Ax + By = C

In order to express the given equation in this form, we need to isolate the constant.  We can achieve this by subtracting 5x from both sides:

y = 5x - 3

y - 5x = -3

If possible, we want A to be positive, so we can multiply both sides by -1:

-1(y - 5x) = -1(-3)

-y + 5x = 3 or 5x - y = 3

1.
Prove that AMNO is congruent to AXYZ using triangle congruency theorems.
M
Given: ZMLX
2N =zY
YO NZ
Prove: AMNO = AXYZ
Z
I

Answers

Answer:

yes they are

Step-by-step explanation:

they are both congruent because they are the same shape and size, they are just on opposite sides

(congruent means that 2 objects are the same shape and size)

Answer:

yes they are

Step-by-step explanation:

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