This figure represents a large storage container that will be built out of a new durable material. The storage company needs 8 of these containers.
How much of the new material is needed to build all 8 containers?
Enter your answer in the box.
Answers
Answer:
1872 ft.²
Step-by-step explanation:
First lets figure out all of the easy shapes:
The bottom one: 8 * 7 = 56
The one on the left: 5 * 8 = 40
The one of top: 8 * 3 = 24
The slanted rectangle: 5 * 8 = 40
The small rectangle below that : 2 * 8 = 16
Now we just have the polygon facing toward us. It can be broken up into 2 parts:
The lower half: 2 * 7 = 14
Imagine a line going from the top of the line marked "2" straight across to the other side. That is the bottom half. Now we are left with a trapezoid. The formula for the area of a trapezoid is as follows:
A = ((a + b) / 2) * h
What this means is that we had the top and bottom of the figure, divide that by 2, and multiply it by the height. That can be shown here:
(3 + 7) / 2 = 5 * 3 = 15
15 is the area of the trapezoid. Now we can combine that with 14 to get the total area of the polygon:
14 + 15 = 29
Then do the same again for the other identical figure
14 + 15 = 29
Now we have all the areas of our shapes. Let's add them up:
56 + 40 + 24 + 40 + 16 + 29 + 29 = 234
234 is the total surface area of the box. Since there are 8 boxes, multiply this by 8 to get your final answer:
234 * 8 = 1872 ft.²
Don't forget to include units!
The solution is : 1872 ft.² of the new material is needed to build all 8 containers.
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
here, we have,
given that,
First lets figure out all of the easy shapes:
The bottom one: 8 * 7 = 56
The one on the left: 5 * 8 = 40
The one of top: 8 * 3 = 24
The slanted rectangle: 5 * 8 = 40
The small rectangle below that : 2 * 8 = 16
Now we just have the polygon facing toward us. It can be broken up into 2 parts:
The lower half: 2 * 7 = 14
Imagine a line going from the top of the line marked "2" straight across to the other side. That is the bottom half. Now we are left with a trapezoid. The formula for the area of a trapezoid is as follows:
A = ((a + b) / 2) * h
What this means is that we had the top and bottom of the figure, divide that by 2, and multiply it by the height. That can be shown here:
(3 + 7) / 2 = 5 * 3 = 15
15 is the area of the trapezoid. Now we can combine that with 14 to get the total area of the polygon:
14 + 15 = 29
Then do the same again for the other identical figure
14 + 15 = 29
Now we have all the areas of our shapes. Let's add them up:
56 + 40 + 24 + 40 + 16 + 29 + 29 = 234
234 is the total surface area of the box.
Since there are 8 boxes, multiply this by 8 to get your final answer:
234 * 8 = 1872 ft.²
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Related Questions
A spinner with four sections is spun 30 times.
Color Number of times
Red 7
Yellow 8
Blue 6
Green 9
Based on these results, what is the experimental probability that the next time the spinner is spun, it lands on green?
A. 1/5
B. 3/10
C. 4/15
D. 7/30
Answers
Answer:
3 / 10
Step-by-step explanation:
Total = 30 times
n ( T ) = 30
Green = 9
n ( G ) = 9
To find : Probability of Green [ P ( G ) ]
Formula : -
P ( G ) = n ( G ) / n ( T )
P ( G ) = 9 / 30
9 = 3 x 3
30 = 3 x 10
P ( G ) = ( 3 x 3 ) / ( 3 x 10 )
P ( G ) = 3 / 10
Hence,
the experimental probability that the next time the spinner is spun, it lands on green is 3 / 10.
If it landed on green 9/30 times that is the ratio.
3/10= 9/30
Whats the answer? Mathematics
Answers
Answer:
A rectangle
Step-by-step explanation:
graph the points
20 POINTS FOR PART B)
The number of toys owned by eight classmates is shown below:
4, 3, 4, 5, 6, 6, 8, 4
Part A: What is the mean of the data? Show your work. (4 points)
Part B: Use your answer from Part A to calculate the mean absolute deviation for the data. Show your work. (6 points)
Answers
Part A:
The mean of the data is 5 because you add all the numbers otgether then divided it by 8 (the number of classmates). 4 + 3 + 4 + 5 + 6 + 6 + 8 + 4 = 40 then divided by 8 is 5.
Hope this helped
Please give step by step explanation and answer,
Answers
Answer:it would be C.
Step-by-step explanation:
6-(-6)=12 and 5-(-3)=8, so if you put it in the fraction, it would end up as 3/2.
3-(-3)=6 and 3-(-1)=4, and 6/4 simplified is 3/2. If both slopes are 3/2, then they would be parallel, showing that the two lines have the same slope. Another way to prove is that 3/2=3/2 is true
Find the product. Write your answer as a decimal.
Answers
This is multiplication:
-1.6 x -7.1 = 11.36
Answer: 11.36
PLEASE HELP ASAP
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
INSTRUCTIONS IN PHOTO
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
I HAVE ANOTHER QUESTION YOU CAN HELP WITH, ITS SIMILAR TO THIS
Answers
Answer:
4) 10.5 m. 5) 7 1/3 6)6m
Step-by-step explanation:
5 might be inaccurate (as i am doing mental math) but 4 and 6 are definently right :)
7 times 1/2 equals 7/2 or 3 1/2
add 7 and 3 1/2
answer is 10 1/2cm
5) 5.5 divided by 1.5
1.5 times 3 equals 4.5
1 divided by 1.5 equals .6
3 plus .6 equals 3.6
3.6 times 2 equals 7.2in
6) 9 divided by 3 equals 3
so 3 times 2 equals 6m
The mean of all five numbers is 168. Find the missing number!
Answers
Answer:
205 bones
Step-by-step explanation:
Add all bones and let the unknown be x
(250+199+85+101+x)/5=168
(635+x)/5=168
Cross multiply
168*5=635+x
840=635+x
840-635=x
x=205.
That's all
PLEASE HELP I WILL GIVE 20 POINTS!
Answers
Answer:
it says there are only 10, not 20?
Step-by-step explanation:
Since L is a square, all the sides will be 35ft
Area = length squared
Area of square L = 35ft^2 or option b
Help me please!!!!!!?!!!
Answers
5 because 30/6=5
10 because 45-35=10
21 because 7x3=21
The percent of voters between the ages of 18 and 29 that participated in each United States presidential election between the years 1988 to 2016 are shown in the table.
The function P gives the percent of voters between 18 and 29 years old that participated in the election in year t.
Determine the average rate of change for P between 1992 and 2000.
Do not include units (%) in your answer.
Round your answer to the nearest thousandth.
Answers
Answer:
2,4
Step-by-step explanation:
The average rate of change for P between 1992 and 2000 is -1.025.
What is Average rate of change?Average rate of change function is the average rate by which a quantity is changed with respect to another quantity.
It can be calculated as the amount of change in a quantity divided by the amount of change in another quantity.
Average rate of change for a function 'f' in the interval [a, b] is,
A = [tex]\frac{f(b) - f(a)}{b - a\\}[/tex]
Here P is the function which is the percent of voters between ages 18 and 29 in the interval 1992 to 2000
Average rate of change for P = P(2000) - P(1992) / 2000 - 1992
A = [34.5 - 42.7] /[2000 - 1992]
A = -8.2 / 8
A = -1.025
Hence, the average rate of change for P between 1992 and 2000 is -1.025.
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Find the angle measure for 2. And 3.
Answers
2. the answer is 90° the angle
3. the answer is 60° the angle
3. The angle is 60 degrees
Heeeeeeeeeelp please an if you can answer this then please go on my profile and answer my other question!
Answers
V = 107.52
HOPE ITS HELP
AND MARK ME AS BRAINLIST
Step-by-step explanation: the answer is 53.76 because first of all to find the answer you need to multiply 0.5 or 1/2 times 3.2 times 4.8 times 7 getting an answer of 53.76 cm^3 so hopefully that is the correct answer and have a great day.
4. Each pail of plaster covers 90 square feet of ceiling. What is the least number of pails of plaster you would need to buy to cover the ceiling of a square room with walls 14 feet long?
5 pails
6 pails
4 pails
3 pails
Answers
The area of the ceiling:
A = 142 = 196 f2
We need plaster to cover 196 $2
196: 90 = 2.17778
Answer: We have to buy 3 pails of plaster
Answer:
3 pails
Step-by-step explanation:
I did this one on a diferent one lol
-lukelaws
Hope I helped If I did please mark me brainliest if I got it wrong sorry!
Help me with math please
A cone has a slant height of 15 cm and a height of 12 cm.
What is the radius of the cone?
cm.
What is the volume of the cone?
cubic centimeters.
Answers
Answer:
The answer to your question is 9 cm
Step-by-step explanation:
Data
slant height = 15 cm
height = 12 cm
radius = ?
Process
To solve this problem, use the Pythagorean theorem. The slant height is the hypotenuse, the height is the long leg and the radius is the short leg.
c² = a² + b²
slant height² = height² + radius²
-Solve for radius
radius² = slant height² - height²
-Substitution
radius² = 15² - 12²
-Simplification
radius² = 225 - 144
radius² = 81
-Result
radius = 9 cm
Which equation has the same unknown value as 2.65 - ? = 0.63?
2.65 - 0.63 = ?
? - 0.63 = 2.65
2.65 + ? = 0.63
0.63 - ? = 2.65
(100 points) PLS I NEED ASAP WILL GIVE BRAINLIEST
Answers
1) 2.65 - 0.63 =2 .02
2) 3.28 - 0.63 = 2.65
3)2.65 + -2.02 = 0.63
4) 0.63 - 3.28 = 2.65
1) 2.65 - 0.63 =2 .02
2) 3.28 - 0.63 = 2.65
3)2.65 + -2.02 = 0.63
4) 0.63 - 3.28 = 2.65
Sorry for the long wait but hopefully this helps <3
HELP AND HURRY This spinner is spun one time. What is the probability of the arrow not landing on a section with an odd number?
Answers
Answer:
3/7
Step-by-step explanation:
there are 7 sections total. 1,3,5, and 9 are all odd. so, there are still 3 sections left where there there are even numbers (4,6, and 8.) 3+4=7.
3 out of the 7 sections are even. D.
One year, the population of a city was 51,000. Several years later it was 44,880. Find the percent decrease.
Answers
Make a note saying what 1% of the number is (dividing by 100)
And 10% (dividing by 10)
And make other notes of what the percentages are if you want
10% is 5,100 and 1% is 510
You can also do what the other person said and do 51,000 - 44,880 and add the percentages.
Hope this helps
The percent decrease in the population is 12%
What is a percent?Percentages are essentially fractions where the denominator is 100.
Given that, the population of a city was 51,000. Several years later it was 44,880.
We are asked to find percent decrease,
Percent decrease = Final element - initial element / initial element x 100
Percent decrease = 44880 - 51000 / 51000 x 100
= -6120 / 51000 x 100
= --0.12 x 100
= -12%
Here, - sign is showing the decrease.
Hence, the percent decrease in the population is 12%
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Edward has 18 apples and 16 oranges to share. He has 26 friends in his class. He wants to give each friend one fruit. How many fruits will he have left for himself?
Answers
Answer:
he' ll have 8 fruits left
Step-by-step explanation:
18 + 16 = 34 , 34-26 = 8
Answer:
the answer is 8
Step-by-step explanation:
u do 18 +16 which equals 34 then u minus how many friends he has by 34 because each friend got only one so u minus that and it equals 8
Andy is reading a 90-page book. He has already read 60 pages. He reads 30 pages per hour. How many hours will it take Andy to finish reading the book?
A.30
B.3
C.2
D.1
Answers
Answer:
d
Step-by-step explanation:
60+30(1 hr)
=90
90 pages in the book
so d.
Answer:
The correct answer is D) 1
Step-by-step explanation:
There are 30 remaining pages for Andy left to read. We know he reads 30 pages per hours, therefore, he will be finished reading the book in an hour.
Express x in terms of y! Find the value of x when y =5
2(x - 3)/y =5
Answers
Hey there!
2(x - 3) / y = 5
2(x - 3) / 5 = 5
2(x) + 2(-3) / 5 = 5
(2x - 6) 5 = 5
MULTPLY 5 to BOTH SIDES
(2x - 6)/5 * 5 = 5 * 5
SIMPLIFY IT!
2x - 6 = 5 * 5
2x - 6 = 25
ADD 6 to BOTH SIDES
2x - 6 + 6 = 25 + 6
SIMPLIFY IT!
2x = 25 + 6
2x = 31
DIVIDE 2 to BOTH SIDES
2x/2 = 31/2
SIMPLIFY IT!
x = 31/2
x = 15 1/2
Therefore, the answer should be:
x = 15 1/2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer: 15 1/2
Step-by-step explanation:
Can you please help me with my question I appreciate it thank you and bye!
Answers
10. Select all true statements.
A. All rectangles are squares.
B. All rectangles are parallelograms.
C. All rhombuses are parallelograms.
D. All squares are rectangles.
E. All squares are rhombuses.
F. All trapezoids are parallelograms.
Answers
Answer:
its B and E
edit: i forgot C
Step-by-step explanation:
Answer:
Its B, C, E Are the answers!
Step-by-step explanation:
-lukelaws
Hope I helped if I did please mark me brainliest I need one more!
CAN SOMEONE PLEASE HELP!!
Answers
Answer:
Its the very top one
Step-by-step explanation:
The graph shows two lines, A and B.
Part A: How many solutions does the pair of equations for lines A and B have? Explain your answer.
Part B: What is the solution to the equations of lines A and B? Explain your answer
Answers
Answer:
A: 1 solution
B: (4,4) is the solution
Step-by-step explanation:
They have different slopes so they're already different equations and because of that, they can only have one solution.
The intersection of the two lines is the solution since those coordinates satisfy both equations.
Answer:
Part AThe solutions of a graphed pair of equations are the points of intersection - the points on the graph where the two lines cross each other. At this point, when inputting the same x-value into the 2 equations, the resulting y-values will also be the same.
Therefore, from inspection of the graph, there is one point of intersection, and so one solution.
The name for a system that has one solution and intersects at one point is Consistent Independent
Part BFrom inspection of the graph, the point of intersection is (4, 4).
Therefore, the solution to the equations of line A and B is (4, 4).
Proof
Equation of line B: y = xEquation of line A: y = -0.5x + 6Using substitution:
⇒ x = -0.5x + 6
⇒ 1.5x = 6
⇒ x = 4
Substituting the found value of x into one of the equations to find y:
⇒ y = 4
Therefore, the solution is (4, 4)
An online retailer allows customers to rate items on a scale from −5 to 5. An item receives the scores below.
−3.75, 1.5, 4.25, 0.75, −4.25, −1.5
Find the mean score. Write your answer as a decimal.
The mean score is (BLANK)
Answers
Answer: The mean rate given by customer is -1.25
Step-by-step explanation: We are given the following in the question:
-3.5, 4, 4.5, -5.25, -4, -3.25, -4.25, 1.75
Formula:
Putting values, we get,
Thus, the mean rate given by customer is -1.25 you may mark brainliest
At a store, Susan selected a pumpkin that weighed 47.2 ounces.
Pumpkins cost $1.80 per pound.
There are 16 ounces in 1 pound.
How much did Susan’s pumpkin cost?
Answers
Can you do this ASAP PLEASE THANK YOU
Answers
PLEASE HELP ME OUT TY!!!!!!
Answers
I need help on a McGraw hill assignment its due soon pls help.
Answers
Answer:
1850
Step-by-step explanation:
The problem is asking you how many kids (predicted by the superintendent) will buy lunches for 1-2 days. Since you know the percentage predicted and the student amount, just multiply as a decimal (convert by putting the number over 100 as a fraction.)
5000*0.37=1850
solve using the attached picture
Thanks in advance
Answers
Answer:
letter b
Step-by-step explanation: