A three-dimensional model of lucia’s apartment is shown. to cool the whole apartment, an air conditioner must provide 2.5 btus per cubic foot. a rectangular prism is shown. the rectangle has sides lengths of 20 feet and 48 feet. the height of the prism is 10 feet. a smaller rectangular prism is cut out of the side. it has side lengths of 9 feet and 16 feet and a height of 10 feet. how many btus are needed to cool lucia’s apartment? 19,600 btus 19,800 btus 20,400 btus 24,000 btus
Answers
The number of btus which are needed to cool Lucia’s apartment shown in the three-dimensional model are 20,400 btus.
What is of volume of rectangular prism?Volume of rectangular prism is the amount of quantity, which is obtained in it in the 3 dimensional space.
Volume of a rectangular prism is the product of its width, height and length.
[tex]V=w\times h\times l[/tex]
Here, (w) is the width of the base (l) is the length and (h) is the height of the rectangular prism.
A three-dimensional model of Lucia’s apartment is shown. The image is attached below for the apartment. The three section are there in the apartment. The volume of this apartment is,
[tex]V=[(20\times12)+(20-9)\times16+(20\times20)]\times10\\V=8160\rm\; ft^3[/tex]
To cool the whole apartment, an air conditioner must provide 2.5 btus per cubic foot. To cool, the 8160 cubic foot apartment the btus needed are,
[tex]n=8160\times2.5\\n=20400\rm\; btus[/tex]
Hence, the number of btus which are needed to cool Lucia’s apartment shown in the three-dimensional model are 20,400 btus.
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Answer:
20,400 BTUs
Step-by-step explanation:
Related Questions
Help
Arc JK = ______°Arc
M<1 = ______°
Answers
Answer:
Step-by-step explanation:
What are the new coordinates of Point R after a 90 degree clockwise rotation?
Answers
Step-by-step explanation:
P(-4,-1)======P'(-1,4)
Q(-4,-3)=====Q'(-3,4)
R(-2,3)======R'(3,2)
The value of a baseball card increased by 10%. Which expression represents the new value of the baseball card?
A. 1. 1v
B. V - 0. 1v
C. 0. 1v
D. V - 0. 1
E. V + 0. 1
F. V - 0. 9v
Answers
Answer:
d). Punch 1, then punch one zero. e). Punch the Add dar. 4 2 4. 0 + f) ... 1 by 6, that isi when you find the decimal v,s,lueHow has the polygon RQTS been translated to produce a polygon with Q’ at (-3, -3)?
shift down 5 units
shift down 6 units
shift down 2 units
shift down 3 units
Answers
Answer: Shift down 3 units
Step-by-step explanation:
From the figure its clear that the existing coordinate of the polygon RQTS are : (−3,0)
Since we have to translate the polygon to (−3,−3)
So:
−3−(−3)=0
−3−(0)=−3
Therefore shift down 3 units is the correct answer
Answer:
shift down 5 units
Step-by-step explanation:
i took the quiz
You are paid $1380 for working 80 hours in two weeks at your full-time job. At this rate of pay, how much would you be paid if ypu worked 100 hours in a month
Answers
Answer:
To answer this, we have to do the equation below:
[tex]1,380/80[/tex]
When we do this, we come up with the answer of 17.25
Now we know that we get paid $17.25 an hour.
Now, we must do the equation below:
[tex]100 X 17.25[/tex]
When we multiply, we get the answer of 1,725
So, we get paid $1,725 if we work for 100 hours.
Step-by-step explanation:
Hope this helps!
PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP
Alex constructs a circle that passes through all three vertices of the triangle shown.
E
Where will the center of the circle be located?
Answers
Answer: A, TRUST ME!
Step-by-step explanation:
A bike rental company charges its customers p dollars per day to rent a bike, where 5≤p≤30. the number of bikes rented per day can be modeled by the linear function n(p)=300−10p. how much should the company charge each customer per day to maximize revenue? do not include units or a dollar sign in your answer.
Answers
Using the vertex of a quadratic equation, it is found that the company should charge each customer $15 per day to maximize revenue.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex][tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, the number of bikes rented per day is given by:
n(p) = 300 - 10p.
Hence, the revenue function is given by:
R(n) = p x n(p)
R(n) = 300p - 10p².
Which is a quadratic function with coefficients a = -10, b = 300. Hence, the price in dollars that will maximize the revenue is given by:
[tex]x_v = -\frac{300}{-20} = 15[/tex]
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What does the fair and accurate credit transactions act provide for consumers? a. it entitles consumers to get one free credit report per year from the big three reporting agencies. b. it entitles consumers to notify credit reporting agencies if their identity is stolen. c. it entitles consumers to file a complaint with the federal trade commission if their identity is stolen. d. it entitles consumers to find out about who has access to personal information and if it is being handled securely.
Answers
Fair and accurate credit transactions act entitles consumers to find out about who has access to personal information and if it is being handled securely.
What is fair and accurate credit transactions act?Fair and accurate credit transactions act passed in 2003 which is made to improve the protection of customer.
The objective of fair and accurate credit transactions act-
To improve the protection of customer.Ensure provisions in case of identity theft.Provide access to consumers to find out about who has access to personal information.Thus, fair and accurate credit transactions act entitles consumers to find out about who has access to personal information and if it is being handled securely.
Option d is the correct option.
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Answer: a. It entitles consumers to get one free credit report per year from the big three reporting agencies.
Step-by-step explanation: quizlet
What is the total area of the three triangles? 12.5 square units 13 square units 13.5 square units 14 square units
Answers
The area of the considered 3 triangles is given by: Option B: 13 sq. units.
How to find the area of a triangle whose vertices' coordinates are given?Suppose the vertices of the considered triangle ABC are on [tex]A(A_x,A_y), B(B_x,B_y), C(C_x,C_y)[/tex], then, the area of the triangle is given by:
[tex]Area = \dfrac{|A_x(B_y-C_y) + B_x(C_y-A_y) + C_x(A_y-B_y)|}{2}[/tex]
For this case, the missing image is attached below.
The second and third triangle are easy as their base and height are parallel to x or y axis.
We will find area of third triangle by coordinates of its vertices.
Getting area of first triangle:
Coordinates of A : (4,10)Coordinates of B : (5,7)Coordinates of C : (7,8)Thus, we get:
[tex]Area_{ABC} = \dfrac{|4(7-8) + 5(8-10) + 7(10-7)|}{2} = \dfrac{7}{2} = 3.5 \: \rm unit^2[/tex]
Area of second triangle = [tex]\dfrac{|RS| \times h}{2}[/tex]base, and h is the perpendicular line connecting from line RS and the vertex T
From figure we see:
|RS| = 3 units, h = 3 units
Thus, area of second triangle = [tex]3 \times 3 /2 = 4.5 \: \rm unit^2[/tex]
Area of third triangle = [tex]\dfrac{|XY| \times h}{2}[/tex] where XY is base, and h is the perpendicular line connecting from line XY and the vertex Z
From figure we see:
|XY| = 5 units, h = 2 units
Thus, Area of third triangle = [tex]5 \times 2 /2 = 5 \: \rm unit^2[/tex]
Total area = 3.5 + 4.5 + 5 = 13 sq. units
Thus, the area of the considered 3 triangles is given by: Option B: 13 sq. units.
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Answer:
13
Step-by-step explanation:
and Intervention
1. The library is 5 miles from the post office. How many yards is the library
from the post office?
yards
Answers
At a height of 316 meters, the Bell Tower is the tallest building in Morgansville. Hank is creating a scale model of this building using
the scale 100 meters: 1 meter.
To the nearest tenth of a meter, what will be the height of the scale model?
Answers
Answer:
Scale: 100 meters per 1 meter
Actual: 316 per unknown meters(our scale)
So order our units:-
Scale 1 x_______ _______ = _______, solve for x;
Meters 100 3161/100 = x/316
*316 *316
3.16 = x, 3.16 rounded = 3.20 is the scale.
Calculate the average daily balance, finance charge, and new balance using the average daily balance method. Round all dollar amounts to the nearest cent. If applicable, include a thousands comma. Monthly rate: 1.75% Date Payments Purchases Balance Number of Days Product 9/1-9/5 $387.525 1,937.60 976 $50.00 $337.521 337.52 977 - 9/18 A В С 9/19 $62.66 $400.181 400.18 9/20-9/30 D E F Total 30 G A= $ BE C= $ D=$ E= F=$ G=$ Average daily balance : 30 = $ Finance charge = monthly rate x average daily balance = $ New balance = previous balance payment/credits + finance charge + new purchases = $
Answers
Answer:
Step-by-step explanation:
Credit should go to the previous helper here:
https://brainly.com/question/21285117
I have not cross-checked but the previous answers were:
"
For average daily balance:
Form date 9/1 to date 9/5 :
Balance x number of the days = $ 387.52 x 5 days = $ 1937.6
As on date 9/6 :
($ 387.52 - $ 50.00) x 1 day = $ 337.52
From date 9/7 to date 9/18 :
Balance = $ 337.50
Number of days = 12 days
Therefore, product = 12 days x $ 337.52
= $ 4050.24
As on 9/19 :
($ 337.52 + $ 62.66) x 1 day = $ 400.18
From date 9/20 to date 9/30
Balance :$ 400.18
Number of days = 11 days
Therefore, product = 11 days x $ 400.18
= $ 4401.98
Average daily balance
= ($ 1937.6 + $ 337.50 + $ 4050.24 + $ 400.18 + $ 4401.98) / 30
= $ 370.91
Finance charge = $ 370.91 x 1.75 %
= $ 6.49
New balance = $ 370.91 + $ 6.49
= $ 377.4
"
I need help
Imagine that you designed a firework. When the firework first explodes, it splits into eight sparkles. Each of those sparkles then explodes and splits into eight new sparkles.
How many sparkles would the second explosion produce? Explain how you determined your answer.
Answers
Answer:
8 x 8 = 64
Step-by-step explanation:
Just including the second explosion, each of the 8 sparks bursts into 8, that means 8 sparks were produced 8 times, or 8x8
Answer:
1 sparkle Burst it produces 8 sparkles so you say 8×8×8×8×8×8×8×8
Use+the+following+data+to+compute+the+relative+market+share+of+each+brand+and+its+position+on+the+growth-share+matrix+if+the+market+growth+rate+is+13. 4%. +which+of+the+following+is+correct?
Answers
Market share is simply the percentage of the total revenue or sales in a market which a particular business makes.
What is a market share?
Your information is incomplete. Therefore, an overview of the market share will be given. Market share is a measure of consumers' or businesses' preference for a product over other similar products.
A higher market share means greater sales and less effort is needed to sell more and a strong barrier to entry for other competitors.
For example, if there are 50,000 units sold per year in an industry, a company that has sales of 5,000 of those units would then have a 10 percent share in that market.
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What is one way to put your PowerPoint Online presentation in full screen mode for your audience?
Select Begin Presentation
Select Editing View, and then select Start Slide Show
Select Presentation View
Select Reading View, and then select Start Slide Show
Answers
Answer:
The easiest and fastest way is shown below, by clicking the button at the bottom that is circled.
Step-by-step explanation:
Answer:
Reading View
Step-by-step explanation:
First, select the Reading View option in the bottom right corner of the working area. Then, select the Slide Show option that is right beside the Reading View option. This will make your presentation go full screen.
Identify the area of the polygon with vertices t(6,5), a(8,−1), s(4,−2), and k(−1,4).
Answers
Answer:
36.5 square units
Step-by-step explanation:
There are a number of ways to compute the area of a polygon from the coordinates of its vertices. There are algebraic formulas, geometric methods involving decomposing the figure, and an interesting method described by Pick's theorem.
__
GeometryThe figure can be enclosed by a rectangle that is 7 units high by 9 units wide. The actual figure is obtained by removing the triangular corners of this rectangle. The areas of those are given by the triangle area formula ...
A = 1/2bh
Working clockwise from lower left, the triangle base (horizontal) and height (vertical) dimensions are 5×6, 7×1, 2×6, 4×1. That means the area of the triangles is ...
A = 1/2(5×6 +7×1 +2×6 +4×1) = 1/2(30 +7 +12 +4) = 1/2(53) = 26.5
The area of the bounding rectangle is ...
A = bh = 9×7 = 63
So, the area of the figure is the difference ...
A = 63 -26.5 = 36.5 . . . square units
__
The other methods of finding the area have been added as attachments.
A box has a square base with side x cm , height 4 cm and volume 289 cm^3. Find x
Answers
Answer:
8.5 cm
Step-by-step explanation:
volume = height × area of base
since this a square, area of base = x²
so 289 = 4 × x²
x² = 289 ÷ 4
x² = 72.25
so x = √72.25
x = 8.5cm
hope this helps
Please help me someone!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
2x squared -5x + 3 into two terms
2x squared - 2x - 3x + 3
Factor out common terms and last two terms
2x(x-1) -3 (x-1)
Factor out the common term x - 1
ANSWER: (x-1) (2x-3)
Help me please 4 questions 50 points this is due today
Answers
Answer:
Q15: A
Q12: A,C,D
Q13: B
Q14: C
Answer:
1) Left 5, Down 1
2) A, C, D
3) B
4) D
Step-by-step explanation:
Desmos graphing calculator will help you with all of these.
Convert the following fraction to a decimal -11/16
Answers
-0.6875
Step-by-step explanation:[tex]Convert\ -11/16\ to\ decimal\\ \downarrow\\ -0.6875[/tex]
I hope this helps you
:)
Answer: -0.6875.
Step-by-step explanation: -1/16 is -0.0625, and if you add -1/16 eleven times, you get -0.6875. Therefore, -11/16 as a decimal is -0.6875.
Have a great day! :)
Write the following decimals in expanded form:
a) 0.75
b) 245.07
c) 36.85
d) 3.74
Answers
Answer:
a ) 0.75 = 0.70 + 0.05
b) 245.07 = 200 + 40 + 5 + 0.0+ 0.07
c) 36.85 = 30+6 + 0.80 + 0.05
d) 3.74 = 3+ 0.70 + 0.04
Step-by-step explanation:
hope this helps
Answer:
Step-by-step explanation:
Write the following decimals in expanded form:
a) 0.75
0.70 + 0.05
b) 245.07
200 + 40 + 5 + 0.07
c) 36.85
30 + 6 + 0.8 + 0.05
d) 3.74
3 + 0.7 + 0.04
Hope this helps!
A pencil is `120` millimeters long.
A marker is `9\%` longer than the pencil.
How long is the marker?
Answers
Given the length of the pencil, the length of the marker is 130.8 millimeters.
What are percentages?Percentage can be described as a fraction of an amount expressed as a number out of hundred. Percentages are represented %.
How long is the marker?Length of the marker = (1 + percentage) x length of the pencil
(1.09) x 120 = 130.8 millimeters
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HI!! Please answer this!
You install a mailbox by buriyng a post as shown. According to postal service guidelines, the bottom of the box must be at least 41 inches, but no more than 45 inches, above the road. Write two inequalities that describe the possible length x, in inches, of the post.
Answers
Answer:
41 ≤ x
x ≤ 45
Step-by-step explanation:
9/5 - (-6/10)
Khan academy needs either exact fraction or exact decimal
Answers
Answer:
Exact fraction: 6/5
Exact Decimal: 1.2
Answer:
12/5 = 2.4
Step-by-step explanation:
The fraction 6/10 can be reduced to simplify the addition.
9/5 -(-6/10) = 9/5 +6/10 = 9/5 +3/5
= 12/5 = 2.4
__
The two minus signs "cancel." The product of any set of numbers with an even number of minus signs will be positive.
Please help! Its due today!
Answers
Answer:
don't know if this is the right way butttt i'm going to give it a shot
Step-by-step explanation:
Cost: I'm guessing this is for the rent for the shoes or is the total cost?
Bowler World: 5 + 1.1g = c | c + 1.1g = t {(this is the other option) probs not correct}
Lucky Spares: 3 + 1.5g = c | c + 1.5g = t
K so personally you should choose option 1 (for example: 5 + 1.1g = c), i have no idea how the proper format is supposed to be
either i hope this helps :)
Which answers describe the shape below? Check all that apply.
Answers
Answer: C, D, and F
-> C. Quadrilateral
-> D. Parallelogram
-> F. Rectangle
Step-by-step explanation:
-> A. Square
[✗] A square needs 4 congruent sides, this only has "two sets of two"
-> B. Trapezoid
[✗] A trapezoid has one pair of parallel sides, but this shape has two
-> C. Quadrilateral
[✓] This shape has four sides
-> D. Parallelogram
[✓] This shape's opposite sides are congruent and parallel
-> E. Rhombus
[✗] This shape's opposite angles/sides are equal, but not all of it's sides are congruent
-> F. Rectangle
[✓] This shape has four sides, and it's opposite sides are congruent
Use the distributive property to write the following expression in expanded form.
5(7h + 3m)
Answers
==============================================================
The distributive property states that:-
[tex]\bigstar{\underline{\boxed{\pmb{a(b+c)=ab+ac}}}[/tex]
Simplify:-
[tex]\bigstar{\boxed{\pmb{5(7h+3m)}}}[/tex]
[tex]\longmapsto\sf{(5~times~7h)+)5*3m)[/tex]
[tex]\longmapsto\sf{35h*15m}[/tex]
===============================================================
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
A triangle has two sides of length 1 and 8. What is the smallest possible whole-number length for the third side?
Answers
Answer:
1/8 is the smallest possible whole number length for the third side
what is the equation of the line that passes through each pair of points for (-2,3) (3,-2)
Answers
Answer:
y = -x + 1
example:
(-2, 3)
y = -(-2) + 1
y = 2 + 1
y = 3
Answer:
y = -x + 1
Step-by-step explanation:
slope = (y2-y1)/(x2-x1) = (-2-3)/(3-(-2)) = -5/5 = -1
y-int: y=mx+b --> plug in a point --> 3 = (-1)(-2)+b --> b=1
y = -x + 1
9x+3=14give your answer as an improper fraction in its simplest form
Answers
Answer:
11/9
Step-by-step explanation: