Mr. Garner purchased a party hall and wants to repaint it as part of the renovations. He needs to calculate the lateral surface area of the party hall so that he will know how much paint to buy. The party hall is in the shape of a rectangular prism with the dimensions shown below.




Including the doors, what is the lateral surface area of the party hall in square feet?



1,904 ft2


1,860 ft2


3,764 ft2


14,280 ft2

Answers

Answer 1

Answer:

The lateral surface area is: 1860 square feet

Step-by-step explanation:

Given

The missing dimension are:

See attachment for storage

[tex]L = 20[/tex] --- Length

[tex]W = 42[/tex] --- Width

[tex]H = 15[/tex] --- Height

Required

The lateral surface area

The lateral area is calculated as:

[tex]Area = 2 * H * (L + W)[/tex]

So, we have:

[tex]Area = 2 * 15 * (20 + 42)[/tex]

[tex]Area = 30 * (20 + 42)[/tex]

[tex]Area = 30 * 62[/tex]

[tex]Area = 1860[/tex]


Related Questions

Simplify:
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Answers

Answer:

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Answer:

[tex] \frac{ {x}^{ \frac{2}{3} } {y}^{ \frac{1}{3} } }{2} [/tex]

Answer C is correct

Step-by-step explanation:

[tex] \sqrt[3]{ \frac{ {x}^{2} }{8 {y}^{ - 1} } } \\ \frac{ {x}^{2 \times \frac{1}{3} } \times {y}^{1 \times \frac{1}{3} } }{ \sqrt[3]{8} } \\ = \frac{ {x}^{ \frac{2}{3} } {y}^{ \frac{1}{3} } }{2} [/tex]

The sophomore class is organizing a picnic and bought 1300 hot dogs and hamburgers for the event. The hotdogs cost $0.59 each and the hamburgers cost $0.98 each before tax. The total bill came to $1041.37, which
included $79.37 in tax. Write only the system you would use.

Answers

0.59 h + 0.98 b = 1041.37 - 79.37

h + b = 1300

help please

12) In the accompanying diagram of circle O, AB is a chord and PQ is a tangent.
Line segment BOC is a diameter and DEOFP is a secant that passes through the center of the circle. ArcDA ArcAC: ArcCF = 2:10:6, and ArcBQ = 80°.
Find:
a) Arc AC
b) m angle ABC
c) m angle COF
d) Arc BD
e) Arc QF
f) m

g) m

Answers

Your looking at c and b a f

When Natalie commutes to work, the amount of time it takes her to arrive is normally
distributed with a mean of 25 minutes and a standard deviation of 4 minutes. Using
the empirical rule, what percentage of her commutes will be between 17 and 33
minutes?

Answers

Answer: 95%

Step-by-step explanation:

PLZZZ HELPP MEEEEEEEEEEEEEEEEEEE

Answers

Step-by-step explanation:

question 1

[tex]6 {x}^{4} - 36 {x}^{3} \\ 6 {x}^{3} (x - 6)[/tex]

question 2

[tex]64 {x}^{2} + 48x + 9 \\ {(8x + 3)}^{2} [/tex]

The temperature at 3:00 PM was 35°F. The
temperature had dropped 45 degrees by 9:00 PM.
What was the temperature in degrees Fahrenheit at
9:00 PM ?

Answers

-10 degrees Fahrenheit

Answer:

- 10 degrees Fahrenheit at 9:00 PM

Step-by-step explanation:

35 - 45 = -10

Find the perimeter and area of the polygon shown below.

A. P= 80 feet, A = 368 square feet

B. P = 80 feet, A = 360 square feet

C. P= 95 feet, A = 420 square feet

D. P = 60 feet, A = 368 square feet

Answers

Answer:

I would say it's d (sorry if im wrong)

A tree casts a shadow that is 12 meters long. The distance from the top of the tree to the end of the shadow is 13 meters. What is the height of the tree? A.5m B.About 18m C.25m D.About 30m

Answers

Answer:

5M

Step-by-step explanation:

50 PTS!!!
Please look at the screenshot and answer:
Look for a pattern in the data set to determine which kind of model best describes the data.

Answers

Answer:

the data of the cubic

as it the distance between the two integers closed under addition

Simplify the following expression log(x^2)-log(x)

Answers

Answer:log a - log b = log (a/b) than use this formula will get

log x^2 -log x = log (x^2 /x) = log x

so answer is log x

Step-by-step explanation:

What type of angle is this pls hurry!

Answers

Answer:

Its an Obtuse angles

Step-by-step explanation:

x+79=2x-37

(x+79)+(-79)=(2x-37)+(-79)

x+79-79=(2x-37)-79

x=2x-37-79

x=116

An obtuse angle has a measurement greater than 90 degrees but less than 180 degrees.

is anyone have the answer to 9,576,984.9874 x 98.84

Answers

Answer:

946589196.155

Step-by-step explanation:

Hope that helps

The answer is 946589196.155

What is the domain of the relation?

A. {-4, -2, 1.4)
B. {-2, 1, 4)
C. {-2, 1, 4,4}
D. (-4.-2).(-2, 1), (1.4). (4.4)

Answers

Answer:

A{-4,-2,1,4} is the domain of function.

stay safe healthy and happy.

What is the greatest common factor (GCF) of the polynomial
below.
12x3 + 4x2 – 8x

Answers

Answer:

The greatest common factor is 4

Step-by-step explanation:

1)     12x3+4x2-8x

2)    (12x3)+(4x2)-8x

3)     36+(4x2)-8x

4)     36+8-8x

5)     44-8x

6)     4(11-2x)

An isosceles triangle has two angles that measure 37 degrees. What is the measure of the third angle

Answers

Answer:

106°

Step-by-step explanation:

An isosceles triangle has 2 sides of the same length. All triangles add up to 180°

37 + 37 + x = 180

74 + x = 180

x = 106

Find two numbers between 100 and 150 with HCF 24

Answers

Answer:

120 and 144

120÷24=5

144÷24=6

Which angle has a cotangent value of -1?
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b. Quadrant 2
c. 120 degrees
d. 135 degrees

Answers

Answer:

Solution given:

cotangent x=cot x=-1

now

x=cot -¹(-1)

x=180-45°

x=135°

So

ans is d. 135 degrees.

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solve this system of equations using the substitution method
y=x+7
-2x-11=y​

Answers

Answer:

x=-6, y=1

Step-by-step explanation:

Let's solve your system by substitution.

y=x+7;−2x−11=y

Step: Solve y=x+7 for y:

y=x+7

Step: Substitute x+7 for y in −2x−11=y:

−2x−11=y

−2x−11=x+7

−2x−11+−x=x+7+−x(Add -x to both sides)

−3x−11=7

−3x−11+11=7+11(Add 11 to both sides)

−3x=18

−3x/ −3 = 18/ −3  (Divide both sides by -3)

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Step: Substitute−6 for x in y=x+7:

y=x+7

y=−6+7

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Answer:

x=−6 and y=1

 

i need help! would appreciate it

Answers

Answer:

x = 0.6

Step-by-step explanation:

We use tangent because the given numbers are opposite and adjacent from x

So, tangent (x) = opposite/adjacent

tan(x) = 8.78/12

[tex]tan^{-1}(\frac{8.78}{12}) = x[/tex]

x = 0.631664

Round to nearest tenth:

x ~ 0.6

Fatima is saving up to buy a $300 bike. She saves $25 each week from her babysitting money. Which linear equation represents the amount Fatima still has to save after x weeks?

y = 25x + 300
y = 25x – 300
y = –25x – 300
y = –25x + 300
one of those

Answers

Answer:

y=−25x+300

Step-by-step explanation:

have a good day/night

may i please have a branlliest

A triangular prism has length 20 cm.
The sides of the shaded cross-section are 4 cm, 11 cm and x cm.
The angle between the sides of length 4 cm and 11 cm is 125º.

calculate x​

Answers

1/2.a.b.sinc
1/2x4x11xsin125= 18.02134497
X= 18cm

A.) Kokochi walks 4 and 1 twelfth miles in one day. He walks the same distance for one week. How many miles does Kokochi walk?

B.) The next week, Kokochi walks 8 and 1 fourth miles in one day for a week. How many miles does Kokochi walk?

C.) What is the distance Kokochi walked if the answers to part A and B were combined?

Answers

Answer:

A) 28 7/12, or 343/12, or 28.583

B) 57.75

C) 86.3 or 86 1/3

Step-by-step explanation:

-10
f(x)
x2 + 5x and g(x) = x + 4
Find f(g(x))
x2 + 13x + 16
2? + 30 + 36
x2 + 13x + 36
x2 + 3x + 20
9 10

Answers

Answer:

BOGO ko sa math

Step-by-step explanation:

hahaha sorryyyyy

Find x

Secant tangent angles

ILL MARK BRAINLIEST!!!

Answers

Answer:

[tex]x = \frac{50 + 92}{2} = 71[/tex]

Find the circumference.
Use 3.14 for tı.
-
r = 6 ft
C = [?] ft
C=rd

Answers

Answer:

37.69911184

Step-by-step explanation:

because circumference is equal to pi multiplied by diameter, you will not get the circumference with the radius times pi. in order to get the diameter, you multiply the radius by 2, because the diameter is the length across the circle. So the diameter of this circle is equal to 12. so simply multiply that number by pi (3.14) and there is your answer. Hope i helped.

I need help with this question this one and a couple more and im done with this EdPuzzle

Answers

which one? I don’t see ay question

Answer asap i got school in one hour and forgot to do this (im putting all my points for this)

Answers

Answer:

I belive the answer for the first box is 9.67

I belive the answer for the second box is 71.

I hope I helped

Find the measure of the indicated angle to the nearest degree

Answers

Answer:

39

Step-by-step explanation:

Amy is pulling a wagon with a force of 30 pounds up a hill at an angle of 25°. Give the force exerted on the wagon as a vector and as a linear combination of unit vectors i and j.

Answers

Answer:

Vector (ordered pair - rectangular form)

[tex]\vec F = (27.189,12.679)\,[lbf][/tex]

Vector (ordered pair - polar form)

[tex]\vec F = (30\,lbf, 25^{\circ})[/tex]

Sum of vectorial components (linear combination)

[tex]\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N][/tex]

Step-by-step explanation:

From statement we know that force exerted on the wagon has a magnitude of 30 pounds-force and an angle of 25° above the horizontal, which corresponds to the +x semiaxis, whereas the vertical is represented by the +y semiaxis.

The force ([tex]\vec F[/tex]), in pounds-force, can be modelled in two forms:

Vector (ordered pair - rectangular form)

[tex]\vec F = \left(\|\vec F\|\cdot \cos \theta, \|\vec F\|\cdot \sin \theta\right)[/tex] (1)

Vector (ordered pair - polar form)

[tex]\vec F = \left(\|\vec F\|, \theta\right)[/tex]

Sum of vectorial components (linear combination)

[tex]\vec {F} = \left(\|\vec F\|\cdot \cos \theta\right)\cdot \hat{i} + \left(\|\vec F\|\cdot \sin \theta \right)\cdot \hat{j}[/tex] (2)

Where:

[tex]\|\vec F\|[/tex] - Norm of the vector force, in newtons.

[tex]\theta[/tex] - Direction of the vector force with regard to the horizontal, in sexagesimal degrees.

[tex]\hat{i}[/tex], [tex]\hat{j}[/tex] - Orthogonal axes, no unit.

If we know that [tex]\|\vec F\| = 30\,lbf[/tex] and [tex]\theta = 25^{\circ}[/tex], then the force exerted on the wagon is:

Vector (ordered pair - rectangular form)

[tex]\vec F= \left(30\cdot \cos 25^{\circ}, 30\cdot \sin 25^{\circ}\right)\,[lbf][/tex]

[tex]\vec F = (27.189,12.679)\,[lbf][/tex]

Vector (ordered pair - polar form)

[tex]\vec F = (30\,lbf, 25^{\circ})[/tex]

Sum of vectorial components (linear combination)

[tex]\vec F = (30\cdot \cos 25^{\circ})\cdot \hat{i} + (30\cdot \sin 25^{\circ})\cdot \hat{j}\,[N][/tex]

[tex]\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N][/tex]

Vilgot made a hat, then a scarf. He graphed the relationship between the total weight (in grams) of the yarn he had used and the length (in centimeters) of the scarf.


What feature of the graph represents how much of the yarn Vilgot used for the hat?

Answers

Answer:

x-intercept

Step-by-step explanation:

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