Find the surface area of the triangular prism. Write your answer as an exact decimal.
Answers
ANSWER
\(857.6m^2\)EXPLANATION
To find the surface area of the prism, we have to find the area of each face of the prism, then find their sum.
The faces of the prism are:
NOTE: Face A appears twice, so we have to double its area when finding the sum.
FACE A
This is a triangle, so its area is:
\(\begin{gathered} A=\frac{1}{2}\cdot b\cdot h \\ A=\frac{1}{2}\cdot7\cdot9 \\ A=31.5m^2 \end{gathered}\)FACE B
This is a rectangle, so its area is:
\(\begin{gathered} A=L\cdot W \\ A=29\cdot7 \\ A=203m^2 \end{gathered}\)FACE C
Its area is:
\(\begin{gathered} A=29\cdot9 \\ A=261m^2 \end{gathered}\)FACE D
Its area is:
\(\begin{gathered} A=29\cdot11.4 \\ A=330.6m^2 \end{gathered}\)Therefore, the surface area of the triangular prism is:
\(\begin{gathered} A=(2\cdot31.5)+203+261+330.6 \\ A=857.6m^2 \end{gathered}\)
Related Questions
help please asap asap asap
Answers
Answer:
non-linear for the first one
-2 or linear either option should work this is for the second
Step-by-step explanation:
Answer:
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Step-by-step explanation:
yan lng hhhh
My sis got stuck on these can you tell me the answer.
Answers
Answer:
you are supposed to guess how many inches the objects are after. that you need you to ACTUALLY measure them and round to the nearest inch. half of an inch and a forth of an inch
Step-by-step explanation:
here is an example so if it measures 2.25 inches it would be
nearest inch:2 inches
nearest 1/2 inch: 2 inches
nearest 1/4 inch: 2. 25 inches
Beth is planning on investing her $1,600 bonus, putting some in an account earning 6% and the rest in an account earning 8%. How much should she put in each to have a total of $104 interest? (Thank you for helping!!!)
Answers
Answer:
1600
8%= 400= 32
6%= 1200=72
Step-by-step explanation:
I started off the 6% at 900 then went from there. Typing it into a calculator.
which of the following shows a correct side-by-side bar chart with store location on the horizontal axis and side-by-side bars of the percentage of time spent on each task?
Answers
The resulting bar chart would show that in Store A, the employees spend 30% of their time on stocking, 40% on cashiering, and 30% on cleaning.
To create a side-by-side bar chart for this data, we would first organize the data into a table with store locations as the rows and tasks as the columns. Each cell in the table would contain the percentage of time spent on that task at that store location.
For example, the table might look like this:
Stocking Cashiering Cleaning
Store A 30% 40% 30%
Store B 25% 35% 40%
Store C 35% 25% 40%
To create the bar chart, we would then place the store locations on the x-axis and use different colors to represent the different tasks. The length of each bar would correspond to the percentage of time spent on that task at that store location.
The resulting bar chart would show that in Store A, the employees spend 30% of their time on stocking, 40% on cashiering, and 30% on cleaning.
Similarly, the chart will provide an easy visual representation of the time spent on each task at each store location.
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The complete question is -
The management of a retail company wants to analyze the time spent by employees on different tasks at different store locations. The data collected shows the percentage of time spent on tasks such as stocking, cashiering, and cleaning at three store locations: Store A, Store B, and Store C. Create a side-by-side bar chart to represent this data and analyze the results.
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The function f(x) = 6x + 8 is transformed to function g through a horizontal stretch by a factor of 5. What is the equation of function g? Replace the values of a and k in the function equation. G(x)=6^ax +k
Answers
Answer:
\(g(x) = 30\cdot x +40\); \(a \approx 1.898\), \(k = 40\).
Step-by-step explanation:
The resultant function is obtained by multiplying \(f(x)\) by a real number \(k\). That is:
\(g(x) = k \cdot f (x)\)
If \(k = 5\) and \(f(x) = 6\cdot x + 8\), then \(g(x)\) is:
\(g(x) = 5\cdot (6\cdot x + 8)\)
\(g(x) = 30\cdot x +40\)
Given that presence of the expression \(g(x) = 6^{a}\cdot x + k\), then:
\(6^{a} = 30\) and \(k = 40\)
The value of a is obtained by applying the definition of logarithms:
\(a = \log_{6}30\)
\(a \approx 1.898\)
Finally, the value of k is found by direct comparison:
\(k = 40\)
Answer: 1/5 and 8
Step-by-step explanation:
Q1 ? Help Robert is 7 ½ years old. How many months old is he?
Answers
Answer:
Step-by-step explanation:
If Robert is 7 1/2 months old you need to multiply 7 1/2 by 12 because there are 12 months in a year.
7x12=84
1/2x12=6
6+84=90
9.
Write an equation for the translation of y = |x|.
16.5 units right
A. y = |x + 16.5|
B. y = |x| + 16.5
C. y = |x| – 16.5
D. y = |x – 16.5|
Answers
Answer:
D
Step-by-step explanation:
Answer:
D. y = |x – 16.5|
Step-by-step explanation:
I got this answer correct on Gradpoint
Find the perimeter of this shape
Answers
Answer:
the answer is 58
Step-by-step explanation:
first rectangle is 6 by 10
and second rectangle is 7 by 16
perimeter (2*(16+7))+(2*(10+6))=78 ××
edite:
sorry i made a mistake the real answer is 58 because we add all the sides together 16+13+10+6+6+7=58
have a nice day :)
Hello!
The perimeter is sum of all sides of a figure. In this figure, we have unknown sides. To find the unknown sides, we have to use the sides that we know. By adding and subtracting numbers, you can find the other sides. See the image below, to see how I did it.
I also have another practice problem, for you to practice on your own if you want to.
Also, mishap on picture, The answer is 58.
Tell whether the graph is symmetric, positive skewed, negative skewed or none of the above
Answers
anwers plzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answers
Answer:
D. 13 1/2
Step-by-step explanation:
Answer: d
Step-by-step explanation:
HELP ME ILL GIV ROBUX Identify the property shown by the equation. 14 × 6 = 6 × 14 A. Commutative Property B. Associative Property C. Identity Property D. Distributive Property PLEASE HELP ME
Answers
Answer:
A. Commutative Property
Step-by-step explanation:
Hello!
This is the Commutative property which is when you can change the order of the numbers and the result does not change.
Hope this helps!
The rate of auto thefts doubles every 5 months.
(a) Determine, to two decimal places, the base b for an exponential model y = Abt of the rate of auto thefts as a function of time in
months.
(b) Find the tripling time to the nearest tenth of a month.
months
Answers
I think first one is the answer
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A number that is a whole number but not an integer?
Answers
Answer:
-5 is the answer
Hope it will be helpfull....
PLEASE HELP BEEN STUCK ON THIS FORVER! AND ITS DUE SOON! WILL GET 100 POINTS FOR HELPING CORRECTLY!
FIND THE 100TH LINE SEGMENT
CUBE #1 HAS 4 LINES
CUBE #2 HAS 12
CUBE #3 HAS 24
WHATS THE 100TH LINE SEGMENT USING NTH TERM.
PICTURE BELOW!
Answers
Answer:
a 48 x 48 unit cube
Step-by-step explanation:
a 1x 1 has 4-line segments
a 2 x 2 has 6-line segments
a 3 x 3 has 8-line segments
we see a pattern here
3 * 2 + 2= 8
2 * 2+ 2+= 6
1 * 2 + 2= 4
so 48 * 2 + 2= 100
The decline of salmon fisheries along the Columbia River in Oregon has caused great concern among commercial and recreational fishermen. The paper 'Feeding of Predaceous Fishes on Out-Migrating Juvenile Salmonids in John Day Reservoir, Columbia River' (Trans. Amer. Fisheries Soc. (1991: 405-420)) gave the accompanying data on
y= maximum size of salmonids consumed by a northern squaw fish (the most abundant salmonid predator) and
x= squawfish length, both in mm.
Use the following statistics to give the equation of the least squares regression line.
x=524.880,
y=413.975,sx=12.251,sy=12.300,
r=0.9562
options:
a) ^y=0.960xâ89.910
b) ^y=0.960x+89.910
c) ^y=â89.910x+0.960
d) ^y=0.952x+89.910
e) ^y=0.952xâ89.910
f) None of the above
Answers
Answer:
the correct answer is not there. here it is:
^y = 0.960x - 89.910
Step-by-step explanation:
we have regression line equation as:
^y = a+bx
we have the following details available
x = 524.88
y = 413.975
Sx = 12.251
Sy = 12.300
r = 0.9562
we have to find values of a and b
b = rSy/Sx
= 0.9562(12.3)/12.251
= 11.76126/12.251
= 0.960
a = y - intercept
= 413.975-0.96(524.88)
= 413.975-503.8848
= - 89.9098
a = -89.910
putting these values into the equation, we have:
^y = -89.910 + 0.9600x
which is also
^y = 0.960x - 89.910
Mr. Olsen has a computer business in which he sells everything at 44.5% above the wholesale price. If he purchased a printer for $80 wholesale, what will be the retail price?
Answers
If he purchased a printer for $80 wholesale. Then the retail price will be $115.60.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
Mr. Olsen has a PC business wherein he sells everything at 44.5% above the wholesale price. On the off chance that he bought a printer for $80 wholesale.
Then the retail price is given as,
⇒ $80 x (1 + 0.445)
⇒ $80 x 1.445
⇒ $115.60
If he purchased a printer for $80 wholesale. Then the retail price will be $115.60.
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help!!!!!!!! ASAP *50 point*
Answers
The measure of unknown ∠x is equal to 60°.
What is triangle inequality theorem?
According to the triangle inequality theorem the sum of the length of any two sides will always be greater than the third side. Mathematically -
(a + b) > c
Given is a triangle with its angle measurements as [x] degrees.
We know that the sum of the angles of a triangle is equal to 180 degrees.
Therefore, we can write -
∠x + ∠x + ∠x = 180°
3 ∠x = 180°
∠x = 60°
Therefore, the measure of unknown ∠x is equal to 60°.
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Answer:
The measure of unknown ∠x is equal to 60°.
Step-by-step explanation:
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Solve for y.
−2y+5=−11
Responses
y = 8
y, = 8
y = 3
y, = 3
y=−3
y equals negative 3
y=−8
Answers
Answer:
8
Step-by-step explanation:
bResponses
y = 8
y, = 8
y = 3
y, = 3
y=−3
Help no please jejddjjdix
Answers
Answer:
41,600 miles is the correct
in the xy plane ,the graph of f(x)=x^2 is intersected by five lines parallel to the x axis. what is the sum of the x coordinates of the points of intersection of the five lines with the graph of f
Answers
Answer:
Step-by-step explanation:that is,have them in this form:y = mx + b.Set the two equations for y equal to each other.Solve for x.This will be the x- coordinates for the point of intersection.
13 less than 2/3 of a number
Answers
Answer:
\(\frac{2}{3} x-13\)
A student is attempting to convert a slope-intercept equation into standard form. Which of the following statements best applies to the sample math given below? Given y=1/4x+2 I first isolate the constant. After doing so, I get the equation -1/4x+y=2 To remove the fraction, I multiply by –4, giving the equation x-4y=2 which is the final answer. A. the work shown to isolate the constant is not correct B. the work shown to remove all fractions is not correct C. the final answer is not in standard form D. the work shown is correct
Answers
The statement that applies to the sample math is:
B. the work shown to remove all fractions is not correct
How to change the subject of the formula?The given steps are:
y = ¹/₄x + 2
- I first isolate the constant.
- After doing so, I get the equation: -¹/₄x + y = 2
- To remove the fraction, I multiply by –4, giving the equation x - 4y=2, which is the final answer.
The correct steps are as follows:
y = ¹/₄x + 2
First isolate the constant to get: y - ¹/₄x = 2
To remove the fraction, Multiply the obtained equation by –4
So, Equation : x - 4y = -8
On comparing both the work we can see that in the given work the removal of fraction is done incorrectly
They didn't multiply -4 on the right hand side .
Thus, option B applies.
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4) 240
Question 18 (1 point)
(01.07 MC)
1
A right rectangular prism is packed with cubes of side length 5 inch. If the prism
is packed with 12 cubes along the length, 3 cubes along the width, and 2 cubes
along the height, what is the volume of the prism? (1 point)
1) 1
5 cubic inch
O2) cubic inch
3) 2
12/3 를
cubic inches
O 4) 2 cubic inches
Answers
Answer: I belive it is 360 inches cubed. I could be wrong
Step-by-step explanation:
Help me pls pls pls
Answers
Answer:
1.61
Step-by-step explanation:
Answer:
Step-by-step explanation:
1.61
you use a line of best fit for a set of data to make a prediction about an unknown value
Answers
A straightforward linear regression study of two or more independent variables will provide a straight line. A curved line may occasionally result from a multiple regression involving a number of linked variables.
What is line of best fit?
The term "line of best fit" describes a line that passes across a scatter plot of data points and best captures their connection. The geometric equation for the line is often calculated manually or using software using the least squares approach, also referred to as ordinary least squares, or OLS.
A straight line that minimizes the gap between it and some data is called a line of best fit.In a scatter plot containing various data points, a relationship is expressed using the line of best fit.It is a result of regression analysis and a tool for forecasting indicators and price changes.The line of best fit is a tool used in finance to find patterns or correlationsTo learn more about regression line, click on below link:
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Greg must choose a number between 67 and 113 that is a multiple 4,6 of and 9 . Write all the numbers that he could choose. If there is more than one number, separate them with commas.
Answers
A number between 67 and 113 which is a multiple 4, 6 and 9 is 108
In this question, Greg must choose a number between 67 and 113 that is a multiple 4, 6 and 9.
We need to find the numbers which follow above conditions.
First we find the numbers between 67 and 113 that is a multiple 4.
68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112
the numbers between 67 and 113 that is a multiple 6 are:
72, 78, 84, 90, 96, 102, 108
the numbers between 67 and 113 that is a multiple 9 are:
72, 81, 90, 99, 108
We can observe that a common number between 67 and 113 which is a multiple 4, 6 and 9 is 108
Therefore, a number between 67 and 113 which is a multiple 4, 6 and 9 is 108
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Given f(x) = x² - 5x - 6 and g(x) =
x² - 6x, what are the domain restrictions
for (-)(x)?
A) x # +6
B) x = 0
C) x = 0,6
D) x = -2,6
Answers
The domain restrictions for (f/g)(x) are (c) x = 0, 6
How to determine the domain restrictions for (f/g)(x)?From the question, we have the following parameters that can be used in our computation:
f(x) = x² - 5x - 6
g(x) = x² - 6x
The composite function (f/g)(x) is calculated as
(f/g)(x) = f(x)/g(x)
substitute the known values in the above equation, so, we have the following representation
(f/g)(x) = (x² - 5x - 6 )/(x² - 6x)
For the domain restriction, we have
x² - 6x = 0
When solved, we have
x = 6 or x = 0
Hence, the domain restrictions for (f/g)(x) are (c) x = 0, 6
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Question
Given f(x) = x² - 5x - 6 and g(x) = x² - 6x, what are the domain restrictions
for (f/g)(x)?
A) x = +6
B) x = 0
C) x = 0,6
D) x = -2,6
A computer randomly puts a point inside the rectangle. What is the probability
that the point does not land in triangle T?
4
T
2
O A.
B.
C.
D.
3
co 100
16
516
6
3
S
Answers
A point is placed inside the rectangle at random by the computer. The probability that the point will miss triangle T is 5/6.
Given that,
In the picture there is diagram.
A point is placed inside the rectangle at random by the computer.
We have to find what is the probability that the point will miss triangle T.
We know that,
By subtracting the area of triangle T from the area of the rectangle and dividing the result by the area of the rectangle, one may calculate the probability that the point will not land in triangle T.
So,
First the area of rectangle is length×breath
The area of rectangle is 6×4= 24
Now, the area of triangle T
The area of triangle is 1/2×2×4=4
The probability is
=24-4/24=20/24=5/6
Therefore, the probability that the point will miss triangle T is 5/6.
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the mean of 5 numbers is 198. the numbers are in ratio 1:2:3:4:5 find the smallest number
Answers
Answer: 13.2
In fraction form, this is 66/5
=============================================================
Explanation:
The five values are in the ratio 1:2:3:4:5 which scales up to 1x:2x:3x:4x:5x for some positive number x.
Add up the pieces of the second ratio and set that sum equal to 198. Then solve for x.
1x+2x+3x+4x+5x = 198
15x = 198
x = 198/15
x = 66/5
x = 13.2 is the smallest number since 1x = 1*13.2 = 13.2 was the smallest value of the ratio 1x:2x:3x:4x:5x.
What is 54/x=6??????????????????????
Answers
Answer:
The answer is 9
Hope this helps
54/ x=6
cross multiply
6x= 54
divide both sides by 6
6x/ 6 =54/6
x=9