Find the surface area of the triangular prism

Find The Surface Area Of The Triangular Prism

Answers

Answer 1
Front: 12 square centimeters
1/2 x 6 x 4 = 12

Back: 12 square centimeters
1/2 x 6 x 4 = 12

Right: 15 square centimeters
3 x 5 = 15

Left: 15 square centimeters
3 x 5 = 15

TOTAL: 54 square centimeters

The surface area is the added areas of each face of a 3D figure.
Formulas I’ve used:
Area of a parallelogram:
A = bh

Area of a triangle:
A = 1/2bh

Related Questions

Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form. ​

Answers

Answer:

y = -2x + 5

[tex]\frac{risex}{run} = slope =[/tex]Δy/Δx = -8/4 = -2

Step-by-step explanation:

You put $5000 in an investment account with interest compounded
continuously. Calculate the approximate annual interest needed for the
account to grow to $10,000 after 20 years.

Answers

Answer:

3.465 %

Step-by-step explanation:

10000 = 5000 [tex]e^{20r}[/tex]

2= [tex]e^{20r}[/tex]

ln(2) = 20r ln(e)

r = ln(2)/20

r = 0.03465

Sandra has developed a program designed to increase reading comprehension scores in 6th graders. She randomly selects three students and has them participate in her program. When she compares the mean score from the students who completed her program to three students who did not participate in the program, she finds no significant difference between their mean scores. What is most likely the reason for the non-significant finding

Answers

Answer:a small sample size

Step-by-step explanation:

From the information given in the question, we are informed that Sandra developed a program that was designed to increase reading comprehension scores in 6th graders and she then randomly selects three students and has them participate in her program.

After comparing the mean score from the students who completed her program to three students who did not participate in the program, she finds no significant difference between their mean scores, it should be noted that the reason for this will be because the sample size is small.

If a large sample size was used, this could have been different as thsi could result in a significant difference between their mean scores.

What is 9.4582 rounded to 1?

Answers

Answer I think the answer is 9 if you round off to the nearest ones,in this case you are rounding off to 9 which will still be 9 because 4 is less than 5.

I hope this helps

Please hurry I will mark you brainliest
What is the value of p so that the line passing through (6, 2) and (9, p) has a slope of -1?

Answers

Answer:

-1

Step-by-step explanation:

im pretty sure its right

sry if it not good luck!!

could someone please answer this

Answers

Answer:

Step-by-step explanation:

draw a parallel line to x at a distance of 23 cutting the quadrilateral in two points.

A right angle is formrd at the bottom.

Hypotenuse=59

one side=45-23=22

x= other side=√(59²-22²)=√(59-22)(59+22)=√((37)(81))=9√(37)≈54.74

Sue was paid $384 for working 32 hours. How many hours will she have to work to earn $672?​

Answers

Answer:

56

Step-by-step explanation:

Answer:

56 hours

Step-by-step explanation:

I divided 384 dollars by 3w hours and then was Sue made 12 an hour. Then I tried mukyiplong different times until I discovered 12×56=672. So, 56 hours

4. What is the volume of the pyramid?
7 ft
9 ft
10 ft

Answers

Pyramids and cones have volumes which are one third of their matching cuboids and cylinders.

The volume of this pyramid = (7 x 9 x 10)/3 = 630 / 3 = 210 cu ft

Write an expression for the sequence of operations described below.
the product of the quotient of y and 7 and the sum of 4 and 9
Do not simplify any part of the expression.

Answers

Answer:

(y/7)x(4+9)

Step-by-step explanation:

statement one y/7

statement two 4+9

(y/7)x(4+7)

What is the slope of a line parallel to line B?

Answers

The slope to line B is 5/2 so a line parallel would have a slope of 5/2.

Find the length of AD in the figure.

A. √26 units
B. √34 units
C. √122 units
D. √130 units

Answers

Answer:

√122

Step-by-step explanation:

To find the distance/length between two points

Use this formula: [tex]\sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

[tex]\sqrt{(1 - 2)^2 + (3 + 8)^2}[/tex]

[tex]\sqrt{(-1)^2 + (11)^2}[/tex]

[tex]\sqrt{1 + 121}[/tex]

[tex]\sqrt{122}[/tex]

Given Isosceles Trapezoid TRAP, if mP=98, find mT

Answers

Answer:

∠ T = 82°

Step-by-step explanation:

In a Isosceles trapezoid, any lower base angle is supplementary to any upper base angle , so

∠ T + ∠ P = 180°

∠ T + 98° = 180° ( subtract 98° from both sides )

∠ T = 82°

please answer correctly and i will give 10 extra points

Answers

Answer:

I believe the answer would be 48.6 milliliters

Step-by-step explanation:

54 * 0.9 = 48.6

please help me with this also if your good at geometry please dm me I need serious help!!​

Answers

Answer:

0.92

Step-by-step explanation:

cosine = adjacent/ hypotenuse

cosine of t = 12/ 13

cos t= 0.92308

The graphs below have the same shape. What is the equation of the blue
graph?

Answers

Answer:

B

Step-by-step explanation:

2 units to the right -> -2 in the brackets next to x

4 units down -> -4 as a constant at the end of the equation

what does range mean in maths

Answers

The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number in the distribution from the highest.
Biggest value-smallest value



Hope this helps

Maya express charges 15 dollar for each person and great holiday charges fixed 84dollar and extra 12 dollar for a person. If the total amount charged by each company is same find the number of people going on holiday

Answers

Step-by-step explanation:

15 dollar for each

15*70*12

then 84*70

total amount. the above

Answer:

:>

Step-by-step explanation:

15 dollar for each

15*70*12

then 84*70

total amount. the above

Bob has a pyramid with a volume of 14. He'd like to create a second pyramid with a volume of 28. Which would guarantee he gets the desired
result?
O Double each side of the base of the pyramid.
O Double one side of the base of the pyramid.
O Double the slant height.
• Double the height.

Answers

Answer:

D

Step-by-step explanation:

Doubling the height will guarantee that the volume gets twice since V=(1/3)*B*h

If Bob wants to create a pyramid of volume 28 then he needs to double the height of the pyramid.

What is a pyramid?

Design or construction with a base that is a polygon and sides that are three or more triangles that come together at the top.

A pyramid is a 3D shape where 3 triangle comes and meet in such a way that the base side creates a triangle.

The volume of a pyramid is given by

Volume = (1/3)base²×height.

Let say

Base width is = w

Height is = h

Volume V = w²h/3

Given

14 = w²h/3

For volume to be 28

28 = w²(2h)/3

So it is clear that he needs to double the height.

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(4*10^4)+(6*10^2) Standard form

Answers

Answer:

40600

Step-by-step explanation:

(4 * 10^4) + (6 * 10^2) =

= 4 * 10000 + 6 * 100

= 40000 + 600

= 40600

Answer:

4.06 x 10^4

Step-by-step explanation:

Find the distance between points (a,b) and Q -a,-b)​

Answers

Answer:

d = 2* sqrt(a^2 + b^2)

Step-by-step explanation:

Interesting question. You should begin by noting that 0 is not the answer although it looks like it should be.

P = (a,b)

Q= (-a,-b)

x1 = a

x2 = - a

y1 = b

y2 = - b

d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )

d = sqrt( (-a - a)^2 + (-b - b)^2  )

d = sqrt ( -2a)^2 + - (2b)^2 )

d = sqrt(4a^2 + 4b^3)

d = 2* sqrt(a^2 + b^2)


The poll report includes a table titled, "Americans Using Cash Now Versus Five Years Ago, by Age." The age intervals are
not equal. Why do you think the Gallup organization chose the age intervals of 23-34, 35-54, and 55+ to display these
results?

Answers

Answer:

These are the entervals of the people who are atleast adults and are mature enough to take the surevy seriosly and answer correctly

Step-by-step explanation:

What is the volume of the solid? Let π=3.14

Answers

Answer:

V = 7234.56 km^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

V = 4/3 (3.14) (12)^3

V = 7234.56 km^3

Answer:

7234, 56 km³

Step-by-step explanation:

π×R³×4/3=3.14×1728×4/3=7234, 56 km³

Please help me with these two Algebra problem. Thanks
Problem 1:
If two half planes never intersect, then their system of inequalities has no solution. True or False?

Problem 2:
If the boundary lines of two half planes are parallel, then they have no solution area. True or False?

Please answer as quick as possible and please answer as
Example:
True, because . . . .

Thanks again!!

Answers

Step-by-step explanation:

First, a half plane can be defined as one side of a line, e.g. x < y-3.

1: True. A solution to two half planes is where the two half planes intersect. If they never intersect, then there literally cannot be a solution.

2: False. Take, for example, y=x and y=x+1. These two lines are parallel because in the equation y=mx+b, m represents the slope, and in these two lines, x is multiplied by 1, so both lines have the same slope and are therefore parallel. Then, take two boundary planes -- y > x and y>x+1. If we graph this out (see picture), the planes clearly intersect when y>x+1. The solution is where the planes intersect, so there is a solution area

A conical lid’s height is 2 centimeters less than the radius, x, of its base. If the lid is made of 25π cubic centimeters of clay, the equation x3 +? x2 +? = 0 can be used to find that the radius of lid’s base is centimeters.

Answers

The required expression that can be used to find the radius of the conical lid's with a height 2 centimeters less than the radius, x, of its base  is x³-2x²-75 = 0

The formula for calculating the volume of the conical lid's is expressed as

[tex]V = \frac{1}{3} \pi r^2h[/tex] where:

r is the radius

h is the height

v is the volume

Given the following

r = x

If the conical lid’s height is 2 centimeters less than the radius, x, then;

h = x - 2

V = 25π cm³

Substitute the given values into the formula as shown:

[tex]25 \pi = \frac{1}{3} \pi x^2 (x-2)\\3(25) = x^2(x-2)\\Expand\\75=x^3-2x^2\\Swap\\x^3-2x^2 = 75\\Equate \ to \ zero\\x^3-2x^2 - 75 = 0[/tex]

Hence the required expression that can be used to find the radius of the conical lid's with a height 2 centimeters less than the radius, x, of its base  is x³-2x²-75 = 0

2.
Lucy shares 42 marbles between her and her 6 friends. How many does each child?

Answers

42 marbles divided by 7 (because lucy has 6 friends but she has to add herself because they all are sharing the 42 marbles between each other) = 6 marbles goes to each child


6 marbles

Tìm hai số có tổng là 177. Nếu bớt số thứ nhất đi 17 đơn vị và thêm vào số thứ 25 đơn vị thì số thứ nhất sẽ bằng 2/3 số thứ 2

Answers

Trả lời:

86 và 91

Giải thích từng bước:

Cho hai số là x và y. Nếu tổng của chúng là 177, thì;

x + y = 177 ... 1

Nếu 17 bị trừ đi số đầu tiên, nó được biểu thị là x - 17

Nếu 25 được thêm vào số thứ hai l, nó được biểu thị bằng y + 25

Nếu số thứ nhất bây giờ bằng 2/3 số thứ hai, thì:

x-17 = 2/3 (y + 25) .... 2

Từ 1, x = 177-y ... 3

Thay thế 3 thành 2

177-y-17 = 2/3 (y + 25)

160-y = 2/3 (y + 25)

3 (160-y) = 2 (y + 25)

480-3y = 2y + 50

-3y-2y = 50-480

-5y = -430

y = 430/5

y = 86

Vì x = 177-y

x = 177-86

x = 91

Do đó hai số là 86 và 91

Using the diagram below, which of the following parts of the triangles are
congruent?
7 miles
B
С
16 ft
12 ft
D
21 ft
E
1 mile = 5280 ft
Given:
1. ACAB-ACED
2. AB ||ED
A. ZA ZB
B. ZASZC
y

Answers

Answer: Choice D. [tex]\angle A \cong \angle E[/tex]

Explanation: Since AB is parallel to ED, this means the alternate interior angles A and E are congruent as marked below.

Angle A is congruent to angle E by alternate interior angle theorem. Therefore, option D is the correct answer.

What are similar triangles?

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

Given that, triangle CAB is similar to triangle CED and AB is parallel to ED.

From the given figure, AB=7 miles, DC=16 ft, EC=12 ft and DE=21 ft.

Here, in figure,

∠A ≅ ∠E  (Alternate interior angles)

∠B ≅ ∠D  (Alternate interior angles)

∠ACB ≅ ∠DCE  (Vertically opposite angles are congruent)

Therefore, option D is the correct answer.

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Help on this pls if you don’t mind

Answers

Answer:

(B) 3

Step-by-step explanation:

Remember that a parallel lines always have the same slope!

Is there a way to solve this without l'hopital's rule?

Answers

The conclusion is that the expression [tex]\lim_{x \to \infty} \frac{6 (2^x) - 1}{5x^2+ 10}[/tex] cannot be solved  without the l'hopital's rule,

How to solve the limit expression?

The limit expression is given as:

[tex]\lim_{x \to \infty} \frac{6 (2^x) - 1}{5x^2+ 10}[/tex]

The limit of the expression cannot be solved without l'hopital's rule, because a direct substitution of ∞ for x would result in the following expression ∞/∞

i.e.

[tex]\lim_{x \to \infty} \frac{6 (2^{\infty}) - 1}{5(\infty)^2+ 10} = \frac{\infty}{\infty}[/tex]

So, the best way is to apply the l'hopital's rule.

This is done as follows:

[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \lim_{x \to \infty} \frac{f'(x)}{g'(x)}[/tex]

When the numerator and the denominator are differentiated, we have:

[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \frac{3\ln(2)\cdot 2^{x + 1}}{10x}[/tex]

Further, differentiate

[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \frac{3\ln^2(2)\cdot 2^{x + 1}}{10}[/tex]

Now, we can substitute [tex]\infty[/tex] for x

[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \frac{3\ln^2(2)\cdot 2^{\infty + 1}}{10}[/tex]

Evaluate the numerator

[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \frac{\infty}{10}[/tex]

Evaluate the quotient

[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \infty[/tex]

Hence, the conclusion is that the expression [tex]\lim_{x \to \infty} \frac{6 (2^x) - 1}{5x^2+ 10}[/tex] cannot be solved  without the l'hopital's rule

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Does this graph represent a function (scatter)

A. Yes
B. No

Answers

Answer:

A. Yes

Step-by-step explanation:

it is always yes because no os negative

Answer

a

Step-by-step explanation:

it does represent a function

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