What is the surface area of the prism, in square centimeters?

What Is The Surface Area Of The Prism, In Square Centimeters?

Answers

Answer 1

Answer:

182

Step-by-step explanation:

2( \frac{1}{2} \times 4 \times 6 ) + 2( 5 \times 10 ) + ( 6 \times 10 )

= {182cm}^{2}

Answer 2

The area of a 2D form is the amount of space within its perimeter. The total surface area of the prism is 184 cm².

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The surface area is the sum of the area of the 5 faces of the triangular prism, therefore, we can write,

Surface area = sum of the Area of the rectangular faces + 2(Area of the triangle base)

Now, the Area of a rectangular face is,

Area = (5cm × 10cm) + (5cm × 10cm) + (6cm × 10cm)

        = 160 cm²

The area of the triangle base,

Area = 0.5 × 4cm × 6cm = 12 cm²

Further, the total area of the Prism will be,

Total surface area = 160cm² + 2(12cm²) = 184cm²

Hence, the total surface area of the prism is 184 cm².

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Related Questions

WILL GIVE BRAINLIEST AND 100 PNTS!! Which of the tables represents a function? Table A Input Output 5 3 5 2 4 1 Table B Input Output 1 2 3 2 5 3 Table C Input Output 0 0 1 2 1 3 Table D Input Output 4 2 4 3 4 4 Table A Table B Table C Table D

Answers

Answer:

Table B

Step-by-step explanation:

Table A Input Output

                5 3

                5 2

                4 1

Has  an input that goes to 2 different outputs, not a function

Table B Input Output

                 1 2

                 3 2

                 5 3

one to one relation which is a function

Table C Input Output

                 0 0

                 1 2

                 1 3

Has  an input that goes to 2 different outputs, not a function

Table D Input Output

                  4 2

                 4 3

                 4 4

Has  an input that goes to 2 different outputs, not a function

What is the value of x?
6
8
010
O 12

Answers

Answer:

8

Step-by-step explanation:

The sum of the internal angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 5, hence

sum = 180° × 3 = 540°

Each exterior angle plus interior angle = 180°

Subtract each exterior angle from 180 for corresponding interior angle.

180 - 59 = 121, 180 - 77 = 103, 180 - 66 = 114, 180 - 62 = 118

Sum the 4 interior angles and subtract from 540 for 5 th interior angle

5 th = 540° - (121 + 103 + 114 + 118)° = 540° - 456° = 84°

The 5 th interior angle and 12x sum to 180 ( same reason as above )

Hence

12x + 84 = 180 ( subtract 84 from both sides )

12x = 96 ( divide both sides by 12 )

x = 8

please mark me brainliest :)

the answer is eight.

A line passes through the point (–7, 5) and has a slope of One-half. Which is another point that the line passes through?
(–13, 9)
(–9, 13)
(9, 13)
(13, 9)

Answers

i believe it would be 13, 9

Answer: the answer is C. (9,13)

Step-by-step explanation:

HELP ME ASAP IT IS DUE TODAY!!!!!!!! WHOEVER ANSWER THIS WILL BE REWARDED

Answers

Answer:

Large Pizza

Step-by-step explanation:

Rewarded with what? :P

Anyway,

The area of a circle is pi*r^2. Additionally, the radius is half the diameter.

The first pizza(s) have diameter 12, which means they have radius 6. The area of one is 6*6*pi=36pi, and since there are two we multiply by 2 to get 72pi.

The second pizza has diameter 18, so radius 9. The area of it is 9*9*pi=81pi.

Clearly 72pi is less than 81pi, so the Large Pizza is biggest.

Hope that helped,

-sirswagger21

(oh yeah and btw give me a million bucks for the reward ty :v)

Simplify the following polynomial expression. 3x( 4x+5) -4 (-x-3) (2x -5)

Answers

Answer:

20x^2 +19x - 60

Step-by-step explanation:

3x( 4x+5) -4 (-x-3) (2x -5)

Distribute

12x^2 +15x - 4 (-x-3) (2x -5)

FOIL

12x^2 +15x - 4( -2x^2 -6x +5x +15)

12x^2 +15x - 4( -2x^2 -x +15)

Distribute

12x^2 +15x +8x^2 +4x -60

Combine like terms

20x^2 +19x - 60

Answer:

20x ^2 + 19x -60

Step-by-step explanation:

12345678910121314151617181920

Which one is greater 1 4/5 or 21/12

Answers

Answer:

I think 21/12

Step-by-step explanation:

hope it works out,!!

Answer:

Here is the answer 21/12

Step-by-step explanation:

to break 21/12 into a fraction we need to subtract, add a whole.

21-12 is 9  1 9/12

now we need to find a gcf for only 9/12 but divide

this is because the gcf of 4/5 is only 1 so we can’t use it

the gcf for 9/12 is 3

9/12 divided by 3 is 3/4

to know what’s greater I use the butterfly trick Which is sideways multiplying

3.       4

-         -

4         5

3 x 5 is 15

4 times 4 is 16

below the 16 should be 4/5

and if you look all the way at the top, it started as 21/12

so it is 21/12

Jasmine draws a circle with a radius of 9x². What is the area of her circle?

Answers

Answer:

Look at the attachment

Which expression gives the length of the transverse axis of the hyperbola
shown below?

Answers

Answer:x-y

Explanation:

Length of transverse axis of hyperbola means distance between both the vertices of hyperbola which is constant given by 2a.

As definition of hyperbola:

Difference in distance of any point (x,y) from both focus is a positive constant equals to length of transverse axis.

So, distance of (x,y) from foci 1)-( distance of (x,y) from foci 2)=2a

x-y=2a

Length of transverse axis is x-y.

hope it helps....

Good luck on your assignment

The length of the transverse axis is x - y if point (x, y) is separated from either focus by a positive constant equal to the transverse axis' length option (C) x - y is correct.

What is hyperbola?

It's a two-dimensional geometry curve with two components that are both symmetric. In other words, the number of points in two-dimensional geometry that have a constant difference between them and two fixed points in the plane can be defined.

We have given a hyperbola shown in the picture.

The green line indicates the transverse axis of the hyperbola.

As we know,

The distance between the two vertices of the hyperbola, which is always given by 2a, is referred to as the length of the transverse axis.

Any point (x, y) is separated from either focus by a positive constant equal to the transverse axis' length.

x-y=2a

The length of the transverse axis =  x - y

Thus, the length of the transverse axis is x - y if point (x, y) is separated from either focus by a positive constant equal to the transverse axis' length option (C) x - y is correct.

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Multiply. Your answer should be a monomial in standard form. {(-t^7)(-t^5)}

Answers

Answer:

t^12

Step-by-step explanation:

Because both multiplicands are negative, their product will be positive.  Both multiplicands are to the same base:  t.

Therefore, the product is t^(7 + 5), or t^12.

Consider the long division problem below. What error did Sam make when he computed the answer? 0.043 StartLongDivisionSymbol negative 0.2709 EndLongDivisionSymbol minus 258 = 129. 129 minus 129 = a remainder of 0 and quotient of negative 63. The answer should be Negative 6.3. Sam should have moved the decimal point 3 places to the right in both the divisor and the dividend. The answer should be Negative 630. Sam should have moved the decimal point 5 places to the right in both the divisor and the dividend. The answer should be Negative 65. Sam made an error subtracting 258 from 270. The answer should be Negative 61. Sam made an error when multiplying 6 times the divisor.

Answers

Answer:

A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Evaluate the expression for x = -3.
x + 4x + 3
-18
B -16
C 0

Answers

Answer:

[tex] - 12[/tex]

Step-by-step explanation:

[tex]x + 4x + 3 \: \: \: \: if \: \: \: \: x = - 3 \\ now \\ ( - 3) + 4( - 3) + 3 \\ - 3 - 12 + 3 = - 12[/tex]

The original price of a plane ticket was reduce by 150 if p= the ticket original price in dollars which algebraic expression represents the reduced price?

Answers

Answer:

p-150

Step-by-step explanatio

p=precio

reducido=150

se redujo, quiere decir que es "-"

Entonces dice "que expresión presenta el precio reducido"

Entonces sería:

(precio) - (reducido)

p-150

The graph of a quadratic equation opens down when the value of is negative.

Answers

Answer:

given a quadratic function, y = ax2 + bx + c, when "a" is positive, the parabola opens upward and the vertex is the minimum value. On the other hand, if "a" is negative, the graph opens downward and the vertex is the maximum value

Step-by-step explanation:

Can anyone help me with these two questions?

Answers

5: x = 5        6: x = 2

Step-by-step explanation:

Problem 5:

Since parallelogram ABCD has to be a parallelogram, than that means that all opposite sides have to be congruent on it. One side has to be equivalent to the opposite side, so the equation on that line is equivalent to the equation on the opposite side, as well. EXAMPLE: 5x = 3x+10, which turns to 2x = 10, which turns to x = 5.

Problem 6:

Just like Problem 5, the opposite lines in the middle of the rhombus have to be congruent to one another since the given shape must be a parallelogram. So 4x = 8, and that turns to x = 2. I solved all of these problems using multi-step equations.

Hope this helped!


What is the tangent ratio for ∠A?

Answers

Answer:

1/2

Step-by-step explanation:

If P(-4,-2) and Q(1, -3) represent points in a coordinate
plane. If Q is the midpoint of segment PM, find M.
O (6,-4)
o(-5, -5)
O(-4,6)
(3,1)

Answers

Answer:

the answer is (6, -4)

Step-by-step explanation:

if f(x)=4^x-8 and g(x)=5x+6, find (f+g)(x)

Answers

Answer:

work is shown and pictured

please answer i need some help

Answers

Answer: - 1.10

Step-by-step explanation:

Point D is one space after -1 before -1.5.

Means it is at -1.10

what is the answer for n ?

Answers

Answer:

18

Step-by-step explanation:

The formula for interior angles in a ngon is

(n-2)*180

2880/180=16

n-2=16

n=18

Using scientific notation, what is the solution to (4.5 * 108) / (1.5 * 105)?

Answers

Answer: 3.09 *10^0




Explanation: First we want to work out the operations and then set our answer in scientific notation.

We star with the multiplication in the parentheses because of the order of operations and then divide.

Thus, we have 486/157.5.

The answer is 3.085714286.

The general form of scientific notation is c*10^e, where c is a number from 1 to 10.

Since the answer is between 1 and 10 already, we did not need to move a decimal and e in the general formula represents how many times you moved the decimal.

Also, I simply rounded the answer to the hundredths place, which is acceptable to most teachers.



Simplify the following polynomial expression.
3x(-2x + 7) - 5(x -1) (4x -3)

Answers

The simplest polynomial expression is

-26x^2+56x-15

Answer: -26x^2 + 56x -15

Step-by-step explanation:

3x(-2x + 7) - 5(x -1) (4x -3)

-6x^2 + 21x - (5x + 5)(4x-3)

-6x^2 + 21x -20x^2 +15x + 20x -15

= -26x^2 + 56x -15

Given a line segment that contains the points A,B, & C in order, and given B is the midpoint of AC, if AB = 7x - 2, and BC = 4x + 7, find x. Select one: a. 9 b. - 2 c. 3 d. 7

Answers

Answer: the answer is c. 3

Step-by-step explanation:

Subtract 4x from 7x

3x-2=7

Then add 2 to 7

3x=9

Then divide 3 by 3x and 9 by 3

X=3

c. The value of x is 3

What is line segment ?

A line segment is a part of straight line measured between two points.

A line segment always have a definite length.

What is the value of x ?

Given, a line segment contains points A, B, C in order.

Also the point B is the middle point of AC.

Hence, we can say that, AB = BC  ......(1)

Here, AB = 7x-2 & BC = 4x+7

Therefore, from (1) we get,

7x-2 = 4x+7

⇒ 7x-4x = 7+2

⇒ 3x = 9

⇒ x = 3

The value of x = 3

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Fabio is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror can be modeled by (x-2)^2=10(y-3), where x and y are measured in inches. Where is the focus of the flashlight?

Answers

Answer:

F(2, 11/2)

Step-by-step explanation:

The expression:

(x-2)² = 10(y - 3)

can be rewritten in the vertex form as follows:

(x-2)² = 10y - 30

(x-2)² + 30 = 10y

1/10(x-2)² + 3 = y

General vertex form is:

y = a(x-h)² + k

then, the vertex is locate at (h, k). In this case the vertes is (2, 3), and a = 1/10

The focus of a parabola is located ar F(h, k+p), where p = 1/(4a). Replacing into these equations:

p = 1/(4*1/10) = 5/2

F(2, 3+5/2) = F(2, 11/2)

Answer:

C is the answer

Step-by-step explanation:

I'm never wrong.

help i still dont understand

Answers

Answer:

1. c

2. a

3. d

4. b

Step-by-step explanation:

For 1, use parchment paper for rotating it around the origin.

For 2, just make the y value positive.

For 3, add 13 to the y value.

For 4, use process of elimination with the answer choices.

(I know right, horrible explanation but you wanted the answers right?)

x = ??
a) 1
b) 3
c) 7

Answers

Answer:

X=3

Step-by-step explanation:

What is the solution to the system of linear equations?
2x + y= 5
5x+4y= 11
(3,-1)
(-5,9)
(2, -1)
(5.-7)

Answers

Answer:

(3, -1)

x is 3

y is -1

Step-by-step explanation:

Solving for x:

2x+y=5

Subtract y from both sides

2x= -y+5

Subtract 5 from both sides

2x-5= -y

Multiply both sides by 4

8x-20= -4y

5x+4y=11

Subtract 4y from both sides

5x= -4y+11

Subtract 11 from both sides

5x-11= -4y

Combine equations:

5x-11=8x-20

Subtract 5x from both sides

-11=3x-20

Add 20 to both sides

9=3x

3x=9

Divide both sides by 3

x=3

Solving for y:

2x+y=5

Subtract y from both sides

2x= -y+5

-y+5=2x

Multiply both sides by 5

-5y+25=10x

5x+4y=11

Subtract 4y from both sides

5x= -4y+11

-4y+11=5x

Multiply both sides by 2

-8y+22=10x

Combine equations:

-8y+22= -5y+25

Add 8y to both sides

22=3y+25

Divide both sides by 25

-3=3y

3y= -3

Divide both sides by 3

y= -1

What is the value of h?
The graph shows the function f(x) = (2.5) was horizontally
translated left by a value of h to get the function g(x) = (2.5)
-2.
0
2
5

Answers

Answer:

Option (1). h = -2

Step-by-step explanation:

This question is incomplete: here is the complete question.

The graph shows the function f(x) = [tex](2.5)^{x}[/tex] was horizontally shifted by a value of h to get the function g(x) = [tex](2.5)^{x-h}[/tex]. What is the value of h ?

From the graph attached,

Point (0, 1) lies on function f(x).

If the graph of function f(x) is shifted h units left horizontally, rule for the translation will be,

f(x + h) → g(x)

For 2 units shift to the left horizontally,

f(x + 2) → g(x)

[tex](2.5)^{x+2}[/tex] = [tex](2.5)^{x-h}[/tex]

By comparing both the sides,

x + 2 = x - h

h = -2

Therefore, Option (1) will be the answer.

Answer:

A -2

Step-by-step explanation:

What is the radius of a circle with a circumference of 23.55 feet

Answers

Answer:

Thanks for question. I am working my way up to more brainliest and Master Answerer. Every question/point helps

The equation for circumference is x = pi*2*r

First divide by 2 then divide by pi to get r. Use algebra to get this explanation. so 23/2/pi = 3.66. Thats the radius.

The sides of a cube are numbered 4, 5, 6, 7, 8, and 9. What is the probability of rolling a 6?

Answers

Answer:

1/6

Step-by-step explanation:

out of 6 numbers in total there is only one 6 therefore there is only 1/6 chances

[tex]\frac{1}{6}[/tex]

Probability is a discipline of mathematics concerned with numerical explanations of the likelihood of an event occurring or the truth of a claim. The probability of an event is a number between [tex]0[/tex] and [tex]1[/tex]

Sides of a cube are numbered [tex]4,5,6,7,8,9[/tex]

Probability [tex]=[/tex] Number of possible outcomes [tex]\div[/tex] Total number of outcomes

Number of possible outcomes [tex]=1[/tex]

Total number of outcomes [tex]=6[/tex]

Probability of rolling a [tex]6=\frac{1}{6}[/tex]    

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Arrange the following ratios in descending order: 2:3, 3:4, 5:6, 1:5 5:6 > 3:4 > 2:3 > 1:5 1:5 > 2:3 > 3:4 > 5:6 2:3 > 1:5> 5:6 > 3:4 5:6 >1:5 > 3:4 > 2:3

Answers

Answer:

Option A.

Step-by-step explanation:

The given ratios are 2:3, 3:4, 5:6, 1:5.

We need to arrange these ratios in descending order.

Fraction form of given ratios are

[tex]\dfrac{2}{3},\dfrac{3}{4},\dfrac{5}{6},\dfrac{1}{5}[/tex]

First find LCM of denominators.

[tex]LCM(3,4,6,5)=60[/tex]

Now, make denominator common, i.e., 60.

[tex]\dfrac{2\times 20}{3\times 20},\dfrac{3\times 15}{4\times 15},\dfrac{5\times 10}{6\times 10},\dfrac{1\times 12}{5\times 12}[/tex]

[tex]\dfrac{40}{60},\dfrac{45}{60},\dfrac{50}{60},\dfrac{12}{50}[/tex]

Now, arrange numerator in descending order.

[tex]50>45>40>12[/tex]

[tex]\Rightarrow \dfrac{50}{60}>\dfrac{45}{60}>\dfrac{40}{60}>\dfrac{12}{50}[/tex]

[tex]\Rightarrow \dfrac{5}{6}>\dfrac{3}{4}>\dfrac{2}{3}>\dfrac{1}{5}[/tex]

[tex]\Rightarrow 5:6>3:4>2:3>1:5[/tex]

Therefore, the correct option is A.

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