Find the total surface area of the figure shown.
20 cm
16 cm
10 cm
12 cm

Find The Total Surface Area Of The Figure Shown.20 Cm16 Cm10 Cm12 Cm

Answers

Answer 1

Answer:

672

Step-by-step explanation:

(1/2×16×12)×2 + (10×12) + (10×16) + (20×10)

Answer 2

The total surface area of the figure is S = 672 cm²

What is the surface area of the prism?

The surface area of the prism is calculated as

The formula for the surface area of a prism is SA=2B+ph, where B, is the area of the base, p represents the perimeter of the base, and h stands for the height of the prism

Surface Area of the prism = 2B + ph

The area of the triangular prism is A = ph + ( 1/2 ) bh

Given data ,

Let the area of the 2 triangles be T

Let the area of the 2 rectangles be R

Let the area of the third side be U

Now , the total surface area of the prism = T + R + U

where T = 2 x ( 1/2 ) ( 16 x 12 )

T = 192 cm²

R = ( 16 x 10 ) + ( 12 x 10 )

R = 280 cm²

And , U = 20 x 10

U = 200 cm²

Therefore , the total surface area of prism S = 192 cm² + 280 cm² + 200 cm²

S = 672 cm²

Hence , the surface area of prism is S = 672 cm²

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Related Questions

Y=3x-1 is dilated by a scale factor of 4 and center at the origin what is the equation that represents the image of the line after the dilation

Answers

Answer: x=1/3y+1/3

Step-by-step explanation: Step 1: Flip the equation. 3x−1=y Step 2: Add 1 to both sides. 3x−1+1=y+1/3x=y+1 Step 3: Divide both sides by 3. 3x/3 = y+1/3 x= 1/3 y+ 1/3

Emiko needs to go to the dentist. It takes her 65 minutes to get there on her bike. This is 5 minutes shorter then twice the time it would take by bus. Write and slove an equation to find how long it takes Emiko to get to the dentist by bus.

Answers

Answer:

30 minutes by bus

Step-by-step explanation:

Equation: b = bus

b = (65 - 5) / 2

b = 60/2

b = 30 mins

Please give Brainliest :)

Without completing decide whether the value of each expression is on is much smaller than 1 close to 1 or much greater than 1

Answers

Answer:

Step-by-step explanation:

1) Larger

2) Less/Close

3) Less

4) Less

5)Less

6) Close

here is a tip if you need help with a question use

the mathhhhhh wayyyy

The measure of is 150°. What is the value of ?


30°
90°
120°
210°

Answers

it is 120 value...............................

someone please help....
Asap ILL GIVE 20 points

Answers

Answer:

5Y+8

Step-by-step explanation:

Answer:5 y +40

Step-by-step explanation: you do 5 times y which is 5y and do 5 times 8 which is 40. And add them together.

WA
The midline is y=
The amplitude is
The period is

Answers

Answer:

The midline is y=-1

Amplitude = 3

The period is 2 units

Step-by-step explanation:

Sinusoidal Function

It refers to a mathematical curve with a smooth and periodic oscillation. Its name comes from the sine function but it can be a cosine function too. They only differ by the phase angle of 90 degrees or π/2 radians.

The amplitude is half the distance from the maximum and the minimum points. The graph shows a sinusoid with a maximum value of y=2 and a minimum value of y=-4.

The amplitude is:

[tex]A=\frac{2+4}{2}=3[/tex]

Amplitude = 3

The midline is the distance from the center of the sinusoid to the x-axis. It's also called the vertical shift.

The midline can be found by subtracting the amplitude A=3 to the maximum value M=2:

ML = 2 - 3 = -1

It can also be found by adding the amplitude to the minimum value:

ML = -4 + 3 = -1

The midline is y=-1

The period is the time the wave takes to complete a full cycle. We only have to focus at any point on the wave (xo,yo) and find the next value of x where the sinusoid has the very same behavior (x1,y1). The period is then x1-x0.

We find at x=0, y=-1 and it's moving up. At x=1 it has the same value but it goes down, so the wave is at its half cycle. At x=2 it repeats the same behavior as for x=0. Thus:

The period is 2 units

4) Alen has been saving for a video game. Last year it cost $28. This year it
Costs $36. Find the percent of change in the cost, round to the nearest
Whole percent

Answers

Answer:

15% i think

Step-by-step explanation:

I HOPE ITS HELP

is the relationship linear, exponential, or neither?

Answers

i’m pretty sure it’s linear, both sides go up at the same constant rate, x is going up 4 each time and y is going up 6

Your answer is linear.

Income can come from
a a part-time job.
b. allowance
c. odd jobs.
d. all of the above.

Answers

Answer:

d

Step-by-step explanation:

Answer:

D. all of the above

Step-by-step explanation:

they all give you money.

Sandy purchases her college books for the upcoming semester. She has to pay $98
for a biology book, $38 for a used poetry book, and $74 for a trigonometry
textbook. If the sales tax rate is 7.5%, how much tax will Sandy pay?

Answers

Step-by-step explanation:

98+38+74=210

210 divided by 100= 2.1

2.1 times 7.5= $15.75

Sandy will pay $15.75 dollars in tax

Answer:

15.75

Step-by-step explanation:

x − 3(3x + 6) = 5 − 8x

Answers

The answer is 23 I’m pretty sure that’s correct

Answer:

23

Step-by-step explanation:

1

Distribute

−3(3+6)=5−8

−9−18=5−8

2

Combine like terms

−9−18=5−8

−8−18=5−8

3

Rearrange terms

−8−18=5−8

−8−18=−8+5

4

Add 

18

1818

 to both sides of the equation

5

Simplify

6

Add 

8

8x8x

 to both sides of the equation

7

Simplify

Result:

0=23


You make six posters to hold up at a basketball game. Each poster has a letter of the word TIGERS You and five friends sit next to each other in a rowe
The posters are distributed at random. Find the probability that TIGERS is spelled correctly when you hold up the posters

Answers

Answer:

1/720

Step-by-step explanation:

there is only one way to spell tiger but there's 720 outcomes of the other words you can make

The probability that TIGERS is spelled correctly when you hold up the posters is 0.00139 approximately or 1/720 exactly.

How to calculate the probability of an event?

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

For this case, the letters of TIGERS are given at random.

All the six letters are different and there exist 6! permutations for them. (as for n unique things, there exist n! possible arrangements of theirs).

So, the posters can be distributed in 6! = 6×5×4×3×2×1 = 720 ways.

Out of those 720 ways, there is only one correct way to spell TIGERS correctly.

Thus, we get:

P(event that correct order of posters is distributed) = [tex]\dfrac{1}{720} \approx 0.00139[/tex]

Thus, the probability that TIGERS is spelled correctly when you hold up the posters is 0.00139 approximately or 1/720 exactly.

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What is the value of (-1/2)^-4?
O-16
1/16
1/16
O 16

Answers

Hmmm 16 pretty sure

Answer: answer is 16

Step-by-step explanation:

Got it right on edge

Two points, a and b, are graphed on the number line below. Maynard says there is not
enough information to write an inequality statement comparing a and b. Which statement
explains whether or not Maynard is correct?

Answers

Answer:b

Step-by-step explanation:

Maynard is incorrect on the number line a is to the left of b thus a < b can be represented thus option (A) is correct.

What is inequality?

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

As per the given number line,

If a number is going to the left of a number line then it will become lower and lower.

Since a is on the left of b so a < b.

It is also obtained that a is less than 0 so it will be negative while b will be positive since all negative value is less than positive thus a < b will be correct.

Hence "Maynard is mistaken since an is to the left of b on the number line, which can be expressed as a b".

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-2 1/4 divided by (-1 1/2)

Answers

Answer:

1.5

Step-by-step explanation:

Answer:

1 1/2

Step-by-step explanation:

-2 1/4 = [tex]-\frac{(2*4)+1}{4}= -\frac{9}{4}[/tex]

-1 1/2 = [tex]-\frac{(1*2)+1}{2}=-\frac{3}{2}[/tex]

-2  1/4 ÷ -1 1/2 = [tex]-\frac{9}{4} * -\frac{2}{3}[/tex]

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

                     = 1 1/2

Use KCF method

Keep the first number.

Change division to multiplication

Flip the second number

Find the area of the trapezoid,
21 m
7 m
21 m
o
A. 1543.5 m
<
OB. 220.5 m?
C. 294 m?
O D. 588 m?
1. 014 Answered
Please help

Answers

Answer:

The answer is 294 which is C

Step-by-step explanation:

help me pls need help​

Answers

Answer:

I

Step-by-step explanation:

Which statement is correct?
A 10 quarts > 2.5 gallons
B 10 quarts < 2.5 gallons
C 10 quarts = 2.5 gallons

Answers

Answer:

the answer is C

Step-by-step explanation:

2.5 gallons are equal to 10 quarts

Patrick is responsible for choosing the company his local community group will use for having T-shirts printed. He must choose between Initial Me and Monogram Mania. Both companies charge an initial set-up fee and then charge per T-shirt printed.

The graph shows the cost of purchasing T-shirts from Initial Me and the cost of purchasing T-shirts from Monogram Mania.

Which statements are true about Initial Me and Monogram Mania?

Select each correct answer.


Initial Me charges $8 per T-shirt printed.

The two companies will cost the same if 130 T-shirts are purchased.

Patrick should choose Initial Me because it will cost less regardless of the number of T-shirts printed.

Monogram Mania charges less per T-shirt printed than Initial Me charges.

The initial fee charged by Monogram Mania is $50.

The initial fee charged by Initial Me is $80.
























Give too the most brainlyist

Answers

Answer:

1. Initial Me charges $8 per T-shirt printed.

2. Monogram Mania charges less per T-shirt printed than Initial Me charges.

The answer is Monogram Mania charges less per T-shirt printed than Initial Me charges.

What are linear equations?

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here: Two T-shirt brands Initial me and monogram mania

Clearly from the graph we can observe that the slope of monogram is not as steep as initial me which indicates that Monogram Mania charges less per T-shirt printed than Initial Me charges.

Hence, The answer is Monogram Mania charges less per T-shirt printed than Initial Me charges.

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given the parralegram find the measure of

Answers

Answer:

can i  get a picture??-

Step-by-step explanation:

Tv= $350 discount = 25%

Answers

The answer is 262.5

If 5 candy bars weigh 40 ounces, what is the weight of 15 candy bars in
ounces

Answers

Answer:

Try 120

Step-by-step explanation:

5 times 8 equal 40

15 times 8=  120

is the triangle congruent to triangle a? if so how?​

Answers

Answer:

Step-by-step explanation:

1 and triangle A is congruent by Angle Side Angle congruent.

2 and triangle A is congruent by Side Side Side congruent.

3 and triangle A is congruent by Angle Side Angle congruent.

Benjamin correctly graphed the quadratic function y = -3x2 + 5. Which of these is true of Benjamin's graph? A. The graph of the function is a line. B. The graph has a vertex at (0, -5). C. The graph has a maximum value at (0, 5). D. The graph is much wider than the original parent function y = x2.

Answers

Its C the graph has a maximum value at (0,5)

The graph has the shape of a parabola with vertex (maximum value) at point (0, 5)

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the quadratic function y = -3x² + 5:

The graph has the shape of a parabola with vertex (maximum value) at point (0, 5).

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Which description best compares the graphs of the two functions below I ready

Answers

Answer:

Some of your pic is cut off so it's difficult to give the exact answer.  But if you plot the points from the table you get that the equation for that set of data is linear and is y = 1/3x -2.  This tells me that the y-intercepts are the same for both equations, so your answer is not the first or the third.  Because the slope of the function A is 3 and for B is 1/3, the line for function A is steeper, the second of your choices above.

PLZ HELP
-3/8 divided by -1/4

Answers

-3/8 ÷ -1/4 = -3/8 *-4/1= 12/8 = 1 4/8, 1 1/2

First find the value of the variable in the diagram

Answers

64 degrees

Opposite angles are congruent so that other angle is 64 degrees and then you do 180-(52+64)

Which fraction can be replaced with 0 when estimating with fractions?

A. 1/5
B. 3/4
C. 8/20
D. 4/9

Answers

any number as the denominator and 0 as the numerator can be replaced in the place of 0.

Carlos is shopping for school supplies. He bought a pencil box for $3, and he also needs to buy notebooks. Each notebook is $2. Let represent the total cost of the supplies and be the number of notebooks Carlos buys.

1) Determine which variable is independent and which is dependent.

2) Write an equation that models the situation.
please help me this is due today

Answers

Answer: y = 2x + 3, The notebooks are independent and the total price is dependent.

3 and 8 ?o?
What is the product of

Answers

Answer:

the product of 3 and 8? is 24

Answer:

24

Step-by-step explanation:

8+8=16

16+8=24

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