EMERGENCY Linda’s adding padding to all the surface inside her attic for extra warmth in the winter she needs to find the approximate surface area of the attic including walls floors and ceilings the attic is in the shape of a triangular prism Linda draws the net and writes the expression below to represent the surface area of the attic Are Linda’s net and expression correct?
Answers
Answer:
4350
Step-by-step explanation:
Linda's net and first term of the expression is correct and the surface area of the attic is 4425 square feet.
What is Surface Area?The area of a three dimensional object on it's outer surface is called the surface area of the object.
Given the attic of Linda's home.
Attic is in the shape of triangular prism.
The net that Linda drawn is correct since she expresses all the measurements right in the net.
So, the net Linda drew is correct.
We can find the surface area from the net of the prism.
Net of the prism consists of 2 identical triangles, 2 identical rectangles and a rectangle.
Area of triangle is [tex]\frac{1}{2}[/tex] × base × height and that of rectangle = length × width
Area of 2 triangles = 2 × [tex]\frac{1}{2}[/tex] × 25 × 15 = 25 × 15
Area of rectangles = (45 × 40) + (45 × 25) + (45 × 25)
= 45(40 + 25 + 25)
Total surface area = 45(40 + 25 + 25) + (25 × 15)
The first term of Linda's expression, 45(40 + 25 + 25) is correct.
The second term of Linda's expression, ([tex]\frac{1}{2}[/tex] × 25 × 15) is not correct.
Surface area of the attic = 45(40 + 25 + 25) + (25 × 15)
= 4425 square feet
Hence the surface area of the attic is 4425 square feet.
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The complete question is given below.
Related Questions
Determine the value of x.
Answers
Answer:
3[tex]\sqrt{3[/tex]
Step-by-step explanation:
3[tex]\sqrt{3[/tex]. It’s a special triangle. 30, 60, 90.
the side across from 60 is always x [tex]\sqrt{3[/tex] With the side across from 30 being x.
Answer:
3sq root 3
Step-by-step explanation:
Wilt Chamberlin once scored a record 100 points on a combination of 64 foul shots (each worth 1 point) and two-pointers. How many shots of each type did he make? Please show your work!
Answers
Answer:
The answer is 36 two pointers and 64 foul shots.
Step-by-step explanation:
All i did was
100 - 64 = 36
and 36 + 64 = 100
Hope its right :)
Use the graph below to graph the system of inequalities. Be sure to include your shading.
y> -2x + 5
Answers
Answer:
put your first point at y 5
Step-by-step explanation:
go down 2 and 1 to the right Point then down 2 and one to the right
continue that all the way down
then start back at y 5 ...go left one up 2 and point left one and up two ..continue that all the way up the f]lfet side of the graph ( - side )
draw a straight line all the way down and shade in the whole right side of the graph
Solve the equation using distributive property and properties of equality
What is the value of a? -5 (a +3) = -55
Answers
Answer: -5(8+3) = -55
Step-by-step explanation: a = 8
What expression is equivalent to 5 to the 6th power?PlZZZ HElP
Answers
Answer:
125.125
Step-by-step explanation:
i did it trust me
Using exponents, we know that expression (B) 125 × 125 is equivalent to the given expression 5⁶.
What are exponents?Exponentiation is a mathematical process that involves the base b and the exponent or power n. It is represented as bⁿ and is pronounced as "b to the n." The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself. For instance, the number 6 is multiplied by itself four times, yielding 6 6 6 6. You can write this as 6⁴. In this case, the exponent is 4 and the base is 6.So, 5⁶:
We know that 6 = 3 + 3:
Similarly,
5³⁺³We can say that:
5⁶ = 5³⁺³ = 5³ × 5³Now, simplify as follows:
5³ × 5³125 × 125Therefore, using exponents, we know that expression (B) 125 × 125 is equivalent to the given expression 5⁶.
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The complete question is given below:
What expression is equivalent to 5 to the 6th power?
A. 6.5
B. 125.125
C. 25.5.5.5
D. 36.6.6.6
which property is used in the following? 2(8+9)= 2*8+2*9
a. None of the above
b. Association property
c. Commutative property
d. Multiplication property of zero
Answers
Answer:
A) None of the above
Step-by-step explanation
it's distributive property
Geomtry help, Need answer as soon as possible please! (image of problem attached)
Answers
Answer:
A
Step-by-step explanation:
hope this helps
brainiest plzzGeneva treated her parents to dinner at their favorite restaurant. The bill was $88.75. Geneva wants to leave 17% of the total bill as a tip. How much should the tip be? Round to the nearest cent.
Answers
Answer:
$15.09
Step-by-step explanation:
88.75 x .17 =15.0875 round to nearest cent
15.09 rounded (thats the tip )
Hey guys what is 2.009 to 2 significant figures please help. Thanks.
Answers
Answer:
2.0
Step-by-step explanation:
→ The first 2 is the first significant figure and then 0 is the second significant figure
25 points if u get it right im in 7th grade so its easy for some ppl
The original price of a chair was $545.00. The store had a sales tax of 4.5%. What is the exact price of the chair, including tax?
Answers
Answer:
569.525 so actually $569.53 probably
Step-by-step explanation:
545*0.045=24.525
24.525+545
Twenty percent of a mixture of pure milk and water is water. Half a litre of wine is added to one litre of the mixture of water and milk and throughly mixed. What percentage of the new mixture is water?
Answers
Answer:
In the new mixture, the percentage of water with respect to its total is 13.33%.
Step-by-step explanation:
Given that in a liter of mixture 20% of it was water and the remaining 80% was pure milk, and that half a liter of wine was added to that liter of mixture, to determine the percentage of water in the new mixture is necessary to perform the following calculation:
20 + 80 + 50 = 150
150 = 100
20 = X
((20 x 100) / 150) = X
2,000 / 150 = X
13.33 = X
Thus, in the new mixture, the percentage of water with respect to its total is 13.33%.
Which function has an inverse that is a function?
b(x) = x2 + 3
d(x) = -9
m(x) = -7x
p(x) = |x|
Answers
Answer:
i aint never seen two pretty bestfriends
Step-by-step explanation:
PLEASE HELPPP!!!!! 15 POINTS
Jose bought 1.5 pounds of apples for $3.60.
How much would 34 of a pound of apples cost?
Enter your answer in the box.
Answers
Answer:
81.6
Step-by-step explanation:
If you do a table and find the unit rate by dividing 3.6/1.5. That gives you 2.4.
Now you multiply 2.4 (the price per pound) by 34 because that's how many pounds you need. You get 81.6
Answer:
$14.28
Step-by-step explanation:
1.5 / 3.60 = 0.42
0.42 * 34 = 14.28
you would divide the pounds by the money because you are trying to find 5e pounds per dollar. So then you get 0.42 the multiply that by 34 and you would get the answer of 34.
Help! Need this really fast! :(
Answers
Answer: a
Step-by-step explanation:
Look at the system of equations in the box at
the right. Kevin stated that the equations in this system
have the same slope, so there will be infinitely many
solutions. Does Kevin's statement make sense?
Answers
Answer:
No.
Step-by-step explanation:
No, Kevin’s statement doesn’t make sense. He is correct that since the two equations have the same slope. Thus, they are parallel to each other.
However, since they are parallel, they will never touch. Therefore, there is no solution.
They will be infinitely many solutions if they are parallel and they have the same y-intercept.
Answer:
No it does not make sense
Step-by-step explanation:
If 2 linear equations have the same slope, then they represent two parallel linesParallel lines never cross, so they cannot have any solutionThe lifespans of crocodiles have an approximately Normal distribution, with a mean of 18 years and a standard
deviation of 2.6 years. What proportion of crocodiles live less than 14 years?
Find the z-table here.
O 0.0618
O 0.0735
O 0.9265
0.9382
Answers
Answer:
A. 0.0618.
Step-by-step explanation:
14-18= -4
-4/2.6= -1.538
Use the Z-table to find the proportion that aligns with 1.54 (round up because of the 0.008)
The intersection between 1.5 and 0.04 will be 0.0618.
Answer:
A
Step-by-step explanation:
Jane has 34 candles leftover from the last craft show and Brianna
has 2 candles. They are making more candles for the next show.
Jane makes 24 candles per hour and Brianna makes 32 candles per
hour. They are also going to use the candles left over from the last
show and want to have the same number of candles at their stalls for
this show. Let h represent the number of hours they need to work
for this.
Answers
Answer:
4 hours
Step-by-step explanation:
Given that the number of leftover candles for Jane = 34
and the number of leftover candles for Brianna = 2
Rate of candle making for Jane = 24 candles/ hour
Rate of candle making for Jane = 32 candles/ hour
As they work for h hours to make candles.
So, in h hours, the number of new candles made by Jane = 24h candles
For Jane, the total number of candles after h houres, including the leftover candles [tex]= 24h+34 \cdots(i)[/tex]
Similarly, in h hours, the number of new candles made by Brianna = 32h candles
For Brianna, the total number of candles after h houres, including the leftover candles [tex]= 32h+2 \cdots(ii).[/tex]
As they want to have the same number of candles at their stalls, so equating the numbers of candles from equations (i) and (ii), we have
[tex]24h+34=32h+2 \\\\\Rightarrow 32h-24h=34-2 \\\\\Rightarrow 8h=32\\\\[/tex]
[tex]\Rightarrow h=32/8=4[/tex] hours.
Hence, both need to work for 4 hours to have the same number of candles.
In the diagram below, \overline{OH} OH start overline, O, H, end overline is parallel to \overline{ID} ID start overline, I, D, end overline. Find the length of \overline{HD} HD start overline, H, D, end overline.
Answers
Answer:
HP=11
Step-by-step explanation:
Now that we have \blueE{HP}HPstart color #0c7f99, H, P, end color #0c7f99, we can find HDHDH, D.
\begin{aligned} HD&=\blueE{HP}+DP \\\\ &=\blueE{2}+9 \\\\ &=11 \end{aligned}
HD
=HP+DP
=2+9
=11
Using the AAA similarity theorem, the length of segment HD in the diagram given is: 11 units.
What is the AAA Similarity Theorem?If all corresponding angles of two triangles are congruent, then, they are similar triangles, based on the AAA similarity theorem.
ΔPOH ~ ΔPID by AAA similarity theorem.
Therefore, their corresponding sides would be proportional. Thus:
PH/PD = PO/PI
Substitute
PH/9 = 6/27
PH = (9 × 6)/27
PH = 2
HD = 2 + 9
HD = 11 units.
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The stem-and-leaf plot below gives the gas mileages (in miles per gallon) for 14 new cars. Use the plot to answer the questions that follow.
Answers
Answer:
a) 1
b) 58
c) 47
Step-by-step explanation:
don't really have a step by step explanation I just took the information from the chart and applied it to the questions
A man decides to buy a nice horse. He pays $60 for it, and he is very content with the strong animal. After a year, the value of the horse has increased to $70 and he decides to sell the horse. But already a few days later he regrets his decision to sell the beautiful horse, and he buys it again. Unfortunately he has to pay $80 to get it back, so he loses $10. After another year of owning the horse, he finally decides to sell the horse for $90. What is the overall profit the man makes?
Answers
Answer:
80!
Step-by-step explanation:
Goodluck!
Answer:
Horse Trade
Consider the trade-story as if it describes two separate trades, where:
In the first trade, the man buys something for $60 and sells it again for $70, so he makes a profit of $10.
In the second trade, the man buys something for $80 and sells it again for $90, so he makes again a profit of $10.
Conclusion: The man makes an overall profit of $10 + $10 = $20.
You can also look at the problem as follows: the total expenses are $60 + $80 = $140 and the total earnings are $70 + $90 = $160. The overall profit is therefore $160 - $140 = $20.
Mrs. Jackson earned a $500 bonus for signing a one-year contract to work as a nurse. Her salary is $22 per hour. If her first week’s check including the bonus is $1,204, how many hours did Mrs. Jackson work
Answers
Answer:
32 hours
Step-by-step explanation:
First setup an equation
500 + 22x = 1204 the x represents how many hours she worked an that is what we want to know. So to find out x you do this......
22x + 500 = 1204
1204-500= 704
704/22 = 32
So, X = 32 hours
Cuales son las soluciones de la siguiente ecuación x4-x3-7x2+x+6=0
Answers
Answer: x=−1 or x=1 or x=−2 or x=3
Step-by-step explanation: Step 1: Factor left side of equation.
(x+1)(x−1)(x+2)(x−3)=0
Step 2: Set factors equal to 0.
x+1=0 or x−1=0 or x+2=0 or x−3=0
x=−1 or x=1 or x=−2 or x=3
staples sell 15 boxes of pens for every 4 boxes of pencils. if they sold 105 pens, how many pencils did they sell?
Answers
Answer:
Step-by-step explanation:
Well it’s 7 boxes of pens. Cause 15 x 7 = 105.
15 divided by 4 = 3.75
Please help The profit P, of a fundraising event can be modeled by the equation p= 50x-2000, where x is the number of tickets sold. What does the 50 in this expression represents?
A. The number of tickets sold
B. The number of people that attended
C. The profit from the event
D. The cost per ticket
Answers
Answer:
D. The cost per ticket
Step-by-step explanation:
You might remember that an equation in the form [tex]y=mx+b[/tex] is in slope-intercept form, where m is the slope and b is any number constant.For this equation, [tex]p=50x-2000[/tex] , y is p, the slope m is 50 and b is -2000The slope tells how much the profit is changing with each ticketSlope simply means "the amount of change"So if we have 2 tickets sold, the profit is [tex]p=50*100-2000=3000[/tex] What about 101? [tex]p=50*101-2000=3050[/tex] So the profit is changing by 50 with every ticketThat means each ticket costs 50 whatever currency It will save you trouble to just remember that in a profit equation, the slope is always the cost per item.Your goal is to take at least 10,000 steps per day. According to your pedometer, you have walked 5274 steps. Write an inequality where x represents the steps you can take to reach your goal.
Answers
Answer:
5,274+x ≥ 10,000
Step-by-step explanation:
We can express that the amount of steps already taken (5,274) plus the amount to go (x) must be at least 10,000.
5,274+x ≥ 10,000
HTH :)
What is the difference between the slope of a horizontal line and a vertical line?
Answers
Answer:
.
Step-by-step explanation:
The slope of a line is change in Y / change in X.
The slope of a horizontal line = 0, not undefined.
The slope of a vertical line = undefined.
Evaluate the expression 7+3²× 2
Answers
Answer:
25
Step-by-step explanation:
Lorena comprara una pecera en forma de cubo.El vendedor le ha informado que solo tiene peceras con capacidad de 512 unidades cubicas. En una nota explica a Lorena las dimensiones que tiene la pecera.
Porfaa!!:)
Answers
Answer:
I don't speak Spanish and I can't read Spanish, so I don't understand.
Step-by-step explanation:
sing the ABCs to me :D
Answers
Answer:
a
b
c
d
e
f
g
h
i
j
k
l
m
n
o
p
q
r
s
t
u
v
w
x
y
z
now you know your abc's next time wont you sing with me
Step-by-step explanation:
Answer:
LovelyPeaches on the track
This beat burnin' and itchin'
Don't leave me 'round yo man 'cause yo dude gonna go missing
Travel all around the world, yes I'm on a mission
Step-by-step explanation:
dave is painting a fence in his uncle's yard he painted 2 sections of the fence in 30 minutes Dave has 9 sections to paint. if Dave paints at the same rate how many minutes will it take him to finish
Answers
Answer:
135
Step-by-step explanation:
30÷2≡15
15×9≡135