1. What is the surface area of the composite figure? Show ALL your work.
2. What is the volume of the composite figure? Show ALL your work.

1. What Is The Surface Area Of The Composite Figure? Show ALL Your Work. 2. What Is The Volume Of The

Answers

Answer 1

Answer:

1. 144.4 m²

2. 120 m³

Step-by-step explanation:

The figure is composed of a triangular prism and a rectangular prism

1. Surface area of the composite figure = (surface area of the triangular prism - area of the face joining the rectangular prism) + (surface area of the rectangular prism - the face joining the triangular prism)

✔️Surface area of the triangular prism = bh + (s1 + s2 + s3)*L

b = 5 m

h = 2 m

s1 = 3.2 m

s2 = 3.2 m

s3 = 5 m

L = 6 m

Plug in the values

Surface area of triangular prism = 5*2 + (3.2 + 3.2 + 5)*6

= 10 + (11.4)*6

= 78.4 m²

✔️Area of rectangular prism = 2(LW + LH + WH)

L = 6 m

W = 5 m

H = 3 m

Plug in the values

Area of rectangular prism = 2(6*5 + 6*3 + 5*3)

= 126 m²

✔️Area of the face joining both figures = L*W

L = 6 m

W = 5 m

Area = 6*5 = 30 m²

✅Surface area of the composite figure = (78.4 - 30) + (126 - 30)

= 48.4 + 96

= 144.4 m²

2. Volume of composite figure = volume of triangular prism + volume of rectangular prism

= ½*a*c*h + L*W*H

a = 2 m

c = 5 m

h = 6 m

L = 6 m

W = 5 m

H = 3 m

Plug in the values

Volume = ½*2*5*6 + 6*5*3

Volume = 30 + 90 = 120 m³


Related Questions

Plz don’t delete my questions,plz help me!! Or eles I won’t get to play games!URGENT!!

Answers

The correct answer is B
B because all of the other ones are wrong

Lauren went to a store to buy some clothes. The shirts were selling at a 20% discount. A pair of pants cost $5 less than 3 times the original cost of a shirt.

If she spent $36 in all, what was the original cost of a shirt?

Answers

Answer:

OMG

Step-by-step explanation:

I had the same question

Answer:

$10.79

Step-by-step explanation:

x =  original cost of one t shirt

We can build this equation

x - (20/100) x + 3x- 5 = 36

-1/5x + 4x = 41

-x + 20x = 205

19x  = 205

x = $10.79

can someone solve for x please

Answers

Answer:

x=-4

Step-by-step explanation:

The two lines are parallel, so the two angles, 45 and x+49 are equal too

Lets make the equation

x+49 = 45

x = 45-49

x = -4

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Struggling with these last two. Thanks so much!!

Answers

Answer:

1. C

2. D

Step-by-step explanation:

1. first find the slope by using the formula (y2-y1)/(x2-x1). We need to find the equation for CE so use points C (0, 1) and E (5, 5). (5-1)/(5-0) = 4/5, which is the slope. from there u can tell that the answer is the third choice, which let's say is C, because the y intercept of the line is 1.

2. Do the same thing except with points A (-5, 1) and D (0, 6). (6-1)/(0-(-5)) = 1

The y intercept is 6 because that is where the line intersects the y axis, or where x is 0.

so the equation is y=x+6, which is just the last option, let's say D, but just rearranged

the first one C
and the second one D


Help me please, I need this

Answers

321,300,0

Multiply 20x17x15x18x35

20×17= 340

5×18= 90

340+90= 430

answer 430 km

i hope this helps ^^

What is the y intercept calculator for 3y=2x +6

Answers

Answer:

The Y-axis intercept is 2

Step-by-step explanation:

Answer:

The y-intercept is 2

Step-by-step explanation:

Given: 3y=2x+6

Convert to y=mx+b form: y=2/3x+2

Therefore, the y-intercept is 2.

Use multiplication to create an equivalent fraction for 2/5

Answers

Answer:

4/10

Step-by-step explanation:

2/5 times 2/2

Make sure To multiply with the SAME denominators and numerators.

I hope this helps!!

Answer:

6/15

Step-by-step explanation:

2/ 5 x 3/3 = 6/15

Note that to find equalivalent fractions multiply “BOTH” the numerator and the denominator

The length of a rectangular lot is 6 feet less than 3 times its
width. Its area is 222 square feet.
Its width is
feet and its length is
feet.

Answers

Answer:

Length = 22.98 feet

Width = 9.66 feet

Step-by-step explanation:

Let the length of the rectangle be L.

Let the width of the rectangle be W.

Given the following data;

Area of rectangle = 222 feet²

Translating the word problem into an algebraic expression, we have;

L = 3W - 6 ...... equation 1

We know that the area of a rectangle is given by the formula;

A = L * W

Substituting

222 = L * W ....equation 2

Substituting eqn 1 into eqn 2, we have;

222 = (3W - 6) * W

222 = 3W² - 6W

Rearranging the equation, we have;

3W² - 6W - 222 = 0

Next, we would use the quadratic formula to solve for the roots.

Note: the standard form of a quadratic equation is ax² + bx + c = 0

a = 3, b = -6 and c = -222

Solving the quadratic equation using the quadratic formula;

The quadratic equation formula is;

[tex] x = \frac {-b \; \pm \sqrt {b^{2} - 4ac}}{2a} [/tex]

Substituting into the equation, we have;

[tex] x = \frac {-(-6) \; \pm \sqrt {6^{2} - 4*3*(-222)}}{2*3} [/tex]

[tex] x = \frac {6 \pm \sqrt {36 - (-2664)}}{6} [/tex]

[tex] x = \frac {6 \pm \sqrt {36 + 2664}}{6} [/tex]

[tex] x = \frac {6 \pm \sqrt {2700}}{6} [/tex]

[tex] x = \frac {6 \pm 51.96}{6} [/tex]

[tex] x_{1} = \frac {6 + 51.96}{6} [/tex]

[tex] x_{1} = \frac {57.96}{6} [/tex]

x1 = 9.66

We do not need the negative value of x, so we proceed.

Therefore, Width, W = x1 = 9.66 feet

For the length;

L = 3W - 6

L = 3(9.66) - 6

L = 28.98 - 6

L = 22.98 feet

Penny works 44 hours at an hourly rate of $8.50. She was paid time and a half for the overtime of 4 hours. What were her total wages?

Answers

Answer:

Time and a half pay is 50% more than an employee's regular rate of pay. For every hour of overtime an employee works, you must give them their regular rate of pay plus half of that. To calculate an employee's overtime rate of pay, multiply their regular rate by 1.5.

Step-by-step explanation:

The following is an arithmetic series.
31+33.5+36+38.5+...
O True
O False

Answers

9514 1404 393

Answer:

  True

Step-by-step explanation:

It is the sum of numbers having a common difference. The fact that it is a sum makes it a series (as opposed to a sequence, which is just a list of numbers). The common difference (of 2.5) makes it an arithmetic series.

True, the sum is an arithmetic series.

Ria works in a paint shop.
She needs to make 1500ml of purple paint.
Ria makes purple paint by mixing red paint and blue paint and white paint in the ratio 3 : 2 : 1
How much blue paint does Ria need to make 1500 ml of purple paint?

Answers

Answer:

the answer is 500ml

Step-by-step explanation:

1500/3=500

I need help with this question please

Answers

Since you know that the equation of straight line is y=Mx + c
Where m mean gradient , and c means intercept
We don’t know our intercept neither do we know our gradient
So we have to find these to get our equation
Therefore, to find m( gradient) from the table
We are going to use the formulae for gradient which is
M=y2-y1 / x2-x1
I.e from the table
M= 23-15 / 4-2
M=8/2
M=4
Therefore how gradient is 4

Complete the pattern. 33, 44, 55, 66, ___, ___

Answers

Answer:

33,44,55,66,77,88

Hope this helps!!!!!!!

what is the polynomial degree for 7,8+6,5-4

Answers

Answer:

7

,

14

,

1

Step-by-step explanation:

Determine whether each expression is equivalent to 64^t^3-0.5t

Answers

Answer:

Step-by-step explanation:

How many solutions does this equation have? -2-5x= -(5x+2)

Answers

Answer:

Infinite solutions

Step-by-step explanation:

A linear equation is given to us and we need to tell the no. of solutions. The equation is ,

=> -2-5x = - ( 5x +2)

If we look at RHS , negative sign is present outside the brackets .On opening the brackets , we have ,

=> -(5x) -(+2)

=> -5x -2

=> -2 - 5x

This is similar to LHS and hence they will represent same line . Hence they will have infinitely many solutions .

They have infinitely many solutions .

What is the magnitude of -5+ 12i?

Answers

Here the picture, :D

The magnitude of the complex number -5 + 12i is 13 which we obtained by using formula, Magnitude [tex]= \sqrt{ a^2 + b^2}[/tex].

To find the magnitude of a complex number in the form of a+bi, where a and b are real numbers, the formula can be used is:

Magnitude = |a+bi|

[tex]= \sqrt{ a^2 + b^2}[/tex]

The  given complex number is -5 + 12i.

we have a = -5 and b = 12.

Plugging these values into the formula, we get:

Magnitude = | -5 + 12i |

[tex]= \sqrt{ (-5)^2 + 12^2}[/tex]

[tex]= \sqrt{ 25 + 144}[/tex]

[tex]= \sqrt{ 169}[/tex]

= 13

Therefore, the magnitude of -5 + 12i is 13.

To learn more on Complex numbers click here:

https://brainly.com/question/20566728

#SPJ4

solve the equation
z³=18+26i
where z=x+yi, x and y are integers​

Answers

So what your gonna wanna do is

80% of what number is 960? Answer pls

Answers

Answer: 1200

Step-by-step explanation:

80% × x = 960

or,

80

100

× x = 960

Multiplying both sides by 100 and dividing both sides by 80,

we have x = 960 ×

100

80

x = 1200

Answer:

Answer: 1200 eeeeeeeee

help please help please ​

Answers

Wouldn’t that be 2/3?! I may be wrong if so sorry

What is the prime factorization of 156?​

Answers

2 * 2 * 3 * 13
This is the answer :)

r = 3.7 m.
Calculate the circumference of the circle.

Answers

Answer: 23.25m

Step-by-step explanation:

C=2πr=2·π·3.7≈23.24779m

The factory receives an order for more than 1,100 boxes. Machine B has already packed 55 boxes. Write and solve an inequality to find the amount of time it will take Machine B to pack the additional boxes that are needed for the order, assuming none of the boxes are defective.

Answers

Answer:

no lo sé pero te ayudaría si lo supiera

A motorboat travels 102 miles in 3 hours going upstream. It travels 186 miles going downstream in the same amount of
time. What is the rate of the boat in still water and what is the rate of the current?

Rate of the boat in still water:

Rate of the current:

Answers

Answer:

Rate in still water = 48 mph.

Rate of current = 14 mph.

Step-by-step explanation:

Let the rate in still water be x and rate of the current be y miles per hour.

Upstream:

x - y = 102/3

Downstream:

x + y = 186/3

Adding the 2 equations

2x = 102/3 + 186/3 = 34 + 62

2x = 96

x = 48 mph.

So 48 - y = 34

y = 48 - 34 = 14 mph.

Evaluate the expression for x^2×x^1 for x=9​

Answers

Answer:

729

Step-by-step explanation:

x^2*x^1 = (9)^2 * (9)^1

            = (9)^3

            = 729

I want to know how to do 11/13+44/39

Answers

Answer:

I'm pretty sure that the answer is 1.97

[tex] \frac{11}{13} + \frac{44}{39} [/tex]

11/13 ×3

11×3=33

13×3=39

11/13=33/39

33/39+44/39

= 77/39

77÷39

=

[tex]1 \frac{38}{39} [/tex]

18. A square board has an area of 95.63 square inches. Which is
closest to the length of one side of the board?
F 10 in
G9 in
H 48 in
) 24 in

Answers

Answer:

10 in

Step-by-step explanation:

In the triangle below, what is the length of the side opposite the 60° angle?

A. /3
B. 3/3
C. 6
D. 2/3

Answers

Step-by-step explanation:

[tex] \tan(60 \degree) = \frac{opposite}{3} \\ opposite = 3 \tan(60 \degree) \\ = 3 \sqrt{3} [/tex]

Rewrite the function f(x) =-4(x+3)2-2 in the form f(x) = ax?+bx+c.
| f(x) = 1
Х
X
?

Answers

Answer:

Step-by-step explanation:

https://www.alvinisd.net/cms/lib/TX01001897/Centricity/Domain/436/Math%201314.61%20Quiz%20Solutions.pdf it will give u the answer trust me

I need help pleasee!!!!

Answers

Answer:

Your answer is c

Step-by-step explanation:

the two inequalities are x =< 1 and x =>2 which is shown by the number line in option c

Other Questions
Does power corrupts people? And why explain as theme What is the exact value of tan (19 pi /12 )? How many 2/5 cup servings are in 9/5 cups of ice cream? (in simplest fraction form) Which organization best represents a sole proprietorship? A. A chef who owns and operates a food truck by herself B. A group of volunteers who work at a local food bank C. A software firm that raises funds by selling stock to investors D. A pair of friends who co-own a barbershop they founded A shirt costs $25. A sweater costs3as much as the shirt.What is the cost, in dollars, of the sweater? hey! ill give brainliest please help! Last year a farm produced 6.2 - 10^6soybeans and 7.8. 10^6 onions.a.) What was the total number of vegetables produced by the farm last year? answer quick pls its timedWhat is the role of the green substance chlorophyll in photosynthesis? (2 points) aChlorophyll collects water from the ground. bChlorophyll captures energy from the sun. cChlorophyll captures carbon dioxide from the air. dChlorophyll moves water up the stem to the leaves. Read this sentence. The race was easily won by the top swimmer on the team. What is the best way to edit this sentence to make it more concise and effective?1: The race was easily won by the top swimmer on the team at the swim meet.2: It was won by the top swimmer on the team. 3: The race was easily won by the top swimmer on the swim team. 4: The team's top swimmer easily won the race. Writing Assignment: Decide Model On Cereal. Use the Decide model on a breakfast cereal: Hints: Include hot grain cereal such as oatmeal or multigrain hot cereal. Research the effects of simple sugar on the body. Write an 800 or more word essay on your findings. ( Will Mark Brainliest to whomever can actually help and answer correctly). Read the excerpt from the story Time for a Change and examine the illustration.When lunch was served, Carlos refused to put on any toppings, causing Stacey to gaze at his hot dog in dismay."I like predictability," Carlos explained patiently. "I know that I love plain hot dogs, and I don't want to ruin a perfectly good meal by drowning it in toppings that I might loathe.""You miss out on amazing opportunities if you refuse to have new experiences," Stacey protested. "People say that variety is the spice of life because it makes everything more interesting." (2 points)a frowning boy stops in the street, with his back to two girls near a hot dog standCarlos glared at Stacey, handed back the hot dog, and walked away from her challenge to make a change. Eventually, Carlos's feet slowed, and he considered Stacey's words carefully. Perhaps he had been too careful because he was afraid; maybe he could try something new. Carlos returned to the stand and piled toppings on top of his hot dog. He discovered that he loves pickles, ketchup, and onions.How does the illustration convey the meaning of the excerpt?Carlos's frown shows that he is upset by Stacey's challenge.The two girls show that others are trying lots of toppings.The hot dog stand shows that plain hot dogs are the best.Carlos's clothing shows that he lives in New York City.(Carlos looks scared) Multiplying polynomials (4x+3y)(5x+y) Need help pleaseWhat is the measure of angle 1?What is the measure of angle 3?What is the measure of angle 6? En un partido de baloncesto, los mximos anotadores han sido Juan, Jorge y Mario. Juan ha logrado 19 puntos. Jorge 5 puntos ms que Juan y Mario 7 puntos menos que Jorge. Cuntos puntos han obtenido entre los tres? * Whoever watches the dream smp answer Simplifique:a) 0,027^1/3b)16^1/25c)4^0,5d)27^0,333... Abell and Creek, LLC has prepared the following flexible budget figures for the current period and is in the process of interpreting the variances. F denotes a favorable variance and U denotes an unfavorable variance. Flexible Budget Price Variance Efficiency Variance Product A311 (total costs) $58,000 $1,500 F $3,000 U Product A325 (total costs) $42,000 $1,750 U $1,500 F Direct manufacturing labor only $71,000 $2,000 U $2,500 F Calculate the actual amount spent for Product A325 during the current period: What is true about high-level nuclear waste? Irina is watching a 3 hour movie on TV. The shaded part of the fraction model below represents the part of each hour that the movie is playing, and the unshaded part represents the time spent on commercials. how to find the circumference using 3.14