The dimensions of the rectangular prism are shown on the net below. Which of the following is closest to the total surface area of the figure?
A. 101.6 cm^2
B. 203.2 cm^2
C. 285.1 cm^2
D. 178.7cm^2
Answers
The area of a 2D form is the amount of space within its perimeter. The total surface area of the rectangular prism is 203.2 units².
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or other quadrilaterals, multiply its length by its width.
The total surface area of a rectangular prism is given by the formula,
Total Surface Area = 2[(Length×width) + (Length×height) + (height×width)]
Given the length of the rectangular prism is 9cm, the width of a rectangular prism is 7.6 cm, and the height of the prism is 2 cm. Therefore, the total surface area can be written as,
[tex]\text{Total Surface Area} = 2[(9 \times 7.6) + (9 \times 2)+(2 \times 7.6)][/tex]
[tex]\rm = 2(68.4+ 18 + 2 \times 15.2)\\\\= 203.2\ cm^2[/tex]
Hence, the total surface area of the rectangular prism is 203.2 units².
Learn more about the Area:
https://brainly.com/question/1631786
#SPJ1
Related Questions
Find an exponential function of the form y = ab* that passes through the points (0,4)
and (2, 100).
Oy=5-4x
Oy=4.5*
Oy-4-2*+84
Oy-25-2x
Answers
Answer:
2nd option
Step-by-step explanation:
given an exponential function in the form y = a[tex]b^{x}[/tex]
to find a and b use the coordinate points it passes through
using (0, 4 ) , then
4 = a[tex]b^{0}[/tex] [ [tex]b^{0}[/tex] = 1 ] , that is
a = 4 , so
y = 4[tex]b^{x}[/tex]
using (2, 100 )
100 = 4b² ( divide both sides by 4 )
25 = b² ( take the square root of both sides )
[tex]\sqrt{25}[/tex] = b , that is
b = 5
then exponential function is
y = 4 . [tex]5^{x}[/tex]
Anyone can answer this ?
Answers
Answer:
NOT nets = A, C, D, F
Nets = B, E, G, H
Figure B (Triangular prism)
SA: 3 rectangles + 2 triangles
Rectangles: (20·8) + (20·10) + (20·6) = 480 ft²
Triangles: (8·6)/2 + (8·6)/2 = 48 ft²
Total SA: 528 ft²
Figure E (Square pyramid)
SA: 1 square + 4 triangles
Square: 10·10 = 100 yd²
Triangles: (12·10)/2 + (12·10)/2 + (12·10)/2 + (12·10)/2 = 240 yd²
Total SA: 340 yd²
Figure G (Rectangular prism)
SA = 2 wide rectangles + 4 narrow rectangles
Wide: (7·11) + (7·11) = 154 cm²
Narrow: (2·7) + (2·7) + (11·3) + (11·3) = 94 cm²
Total SA: 248 cm²
Figure H (Cube)
SA = 6 squares
Squares: 6 x (1·1) = 6 m²
Total SA: 6 m²
I hope this helps and God bless!
Manuel works mowing lawns and babysitting. He earns $8.40 an hour for mowing and $7.60 an hour for babysitting. How much will he earn for 1 hour of mowing and 5 hours of babysitting?
Answers
Answer:
$14.10
Step-by-step explanation:
Answer:
$14.10
Step-by-step explanation:
which statement about the mean absolute deviation (MAD) of a data set is not true
Answers
Answer:
C
Step-by-step explanation:
MAD measures precision (meaning how close the data points are to each other)
mark brainliest please!
i don’t know how to do this, anyone know how. please help
Answers
Answer:
Step-by-step explanation:
13 less than the product of 4 and a number, n, is 5
Answers
The value of n which makes the statement "13 less than the product of 4 and a number, n, is 5" true, is 4.5.
How to write algebraic expression?Algebraic expression are the expression which consist the variables, coefficients of variables and constants.
The algebraic expression are used represent the general problem in the mathematical way to solve them.
The statement given in the problem is "13 less than the product of 4 and a number, n, is 5".
Here, the 13 less than the product of n and 4 (n×4-13) is equal to the number 5. In the equation form,
[tex]4\times n-13=5[/tex]
Add number 13 both side and simplify it further,
[tex]4\times n-13+13=5+13\\4n=18\\n=\dfrac{18}{4}\\n=4.5[/tex]
Thus, the value of n which makes the statement "13 less than the product of 4 and a number, n, is 5" true, is 4.5.
Learn more about the algebraic expression here;
https://brainly.com/question/2164351
#SPJ1
Math test results are shown in the box plot above. What percent of the students scored below 70%??
Answers
Bob owns a watch repair shop. He has foundthat the cost of operating his shop is given byc=2x2-192x+54, where c is cost and x is thenumber of watches repaired. How manywatches must he repair to have the lowestcost?
Answers
The solution for the quadratic equation, c(x) = [tex]2x^{2} -192x+54[/tex] is +48.
Bob must repair 48 watches to have the lowest cost.
What is axis of symmetry?
The axis of symmetry formula uses the standard form of the quadratic equation as well as the vertex form.
We have, c(x) = [tex]2x^{2} -192x+54[/tex]
As we know the axis of symmetry, using the formula:
x = [tex]\frac{-b}{2a}[/tex]
In the above equation a = 2; b = -192
x = [tex]\frac{-(-192)}{2 * 2}[/tex]
x= [tex]\frac{192}{4}[/tex]
x = +48
Hence, the number of watches for lowest cost bob must sold is 48 watches.
Learn more about axis of symmetry here:
https://brainly.com/question/12716308
#SPJ1
Use the distributive property to find the missing term in the equivalent expression.
(A) 6 Ã
Ã
(813
1
3
) = 48 +
(B) -5 Ã
Ã
(325
2
5
) = -2
(C) 9 Ã
Ã
(259
5
9
) = 18 +
(D) 12 Ã
Ã
(-114
1
4
) = -3
Answers
Answerbla bla bla
Step-by-step explanation:
Every time Carrie bakes a batch of brownies, she uses 18
cup of chocolate. If she has 12
cup(s) of chocolate remaining, how many batches of brownies can Carrie make?
Answers
440 customers at an ice cream shop took a survey and rated it "very satisfactory". This represented 22% of the total number. How many total customers took the survey?
Answers
Answer:
2000
Step-by-step explanation:
440 customers are 22% of total meaning there is 78% left.
440*100=44,000 44,000/22=2,000
Slove for m
7m=3+4m
A.m=3/11
B.m=-7
C.m=-5/4
D.m=1
Answers
Answer:
The value of m. = 1
Step-by-step explanation:
=> 7m=3+4m
=> 7m -4m = 3
=> 3m = 3
=> m = 3/3
=> m = 1
Regular decagon with apothem = 10m
Answers
Answer:
What is the question? There is No question to answer
put these into slope intercept form
x + 3y ≤ 8
x + y ≥ 2
Answers
Slope intercept form is y = mx + b
[a] x + 3y ≤ 8 becomes y ≤ -[tex]\frac{1}{3}[/tex]x + [tex]\frac{8}{3}[/tex]
We subtract x from both sides of the equation.
Then we divide both sides of the equation by three.
x + 3y ≤ 8
3y ≤ -x + 8
y ≤ -[tex]\frac{1}{3}[/tex]x + [tex]\frac{8}{3}[/tex]
[b] x + y ≥ 2 becomes y ≥ -x + 2
We subtract x from both sides of the equation.
x + y ≥ 2
y ≥ -x + 2
Which state are the Puget Sound and the San Juan Islands found in?
Hawaii
Oregon
Washington
California
Answers
Puget Sound and the San Juan Islands are wonderful to explore. You can ride ferries to the different islands, take bicycle and kayak trips, and see many eagles and orcas.
There are several national parks in Washington, such as the North Cascades and Olympic National Park. Numerous Native American tribes still live in Washington, including the Skagit, Snohomish, Yakama, and Tlingit tribes.
Answer:
washington
Step-by-step explanation:
I am on it right now and I looked at the lesson again and it says
Mathieu is finding the x-intercepts of the function f(x) = x2 4x 3. his work is shown below. 0 = x2 4x 3 0 = (x 3)(x 1) x 3 = x 1 x = x – 2 0 = –2 there are no x-intercepts. which error did mathieu make? he factored incorrectly. he did not use the constant as the x-intercept. he set the factored expressions equal to each other. he incorrectly solved the equation x 3 = x 1.
Answers
He set the factored expressions equal to each other. instead of setting them equal to zero
What are quadratic equations?The name Quadratic comes from "quad" meaning square because the variable gets squared (like x2). It is also called an "Equation of Degree 2
The given solution of the quadratic equation in the question is
[tex]f(x) = x^2 + 4x + 3.[/tex]
His work is shown below.
[tex]0 = x^2 + 4x + 3[/tex]
[tex]0 = (x + 3)(x + 1)[/tex]
Here is where we use the zero product property
x+3 = 0 x+1 =0 We do not set them equal to each other
Hence He set the factored expressions equal to each other. instead of setting them equal to zero
To know more about quadratic equations follow
https://brainly.com/question/472337
Answer:
The Answer is c
Step-by-step explanation:
Did it on edge
Nate is 10 9/12 years old.How old will he be in 2 5/12 more years?
Answers
Answer:
13 1/6 years old
Step-by-step explanation:
10 9/12 + 2 5/12 = 12 14/12 simplifies to 13 2/12 or 13 1/6
What 6x squared divided by x is
Answers
Answer:
[tex]6x[/tex]
Step-by-step explanation:
Hey there!
In order to solve this problem, you need to first simplify the equation by splitting [tex]6x^2[/tex]
After splitting:
[tex]\frac{6*x*x}{x}[/tex]
Now, we can cross out two of the x values
[tex]\frac{6*x}{1}[/tex]
This is also seen as
[tex]6*x[/tex]
Which simplified is our answer
So the fraction [tex]\frac{6x^2}{x}[/tex] can be re-written or solved as, [tex]6x[/tex]
Answer:
[tex]\frac{6x^{2}}{x} =6x[/tex]
Step-by-step explanation:
[tex]x\neq 0\\\\\frac{6x^{2}}{x} =\frac{6\times x\times x}{x} =6x \ \ \ \ (x \ can \ be \ cancelled \ out)[/tex]
Example :
[tex]\frac{6\times 3^{2}}{3} =\frac{6\times 9}{3} =\frac{54}{3} =18[/tex]
[tex]\frac{6\times 3^{2}}{3} =\frac{6\times 3\times 3}{3} =6\times3=18[/tex]
Which expression matches the verbal description below?
three subtracted from the quotient of thirty and six
O A.30 - (3:6)
O B.30 : 6-3
O C. (30-3)-4
O D.30: (6-3)
Answers
Answer:
Quotient = division of one number by another
[tex]\implies \textsf{quotient of 30 and 6} = \sf \dfrac{30}{6}[/tex]
[tex]\implies \textsf{3 subtracted from } \sf \dfrac{30}{6}=\dfrac{30}{6}-3[/tex]
The quotient of 30 and 6 can also be written as the ratio 30 : 6
Therefore, the solution is (30:6) - 3
Let's see
Quotient means division
30/6Three subtracted means
30/6-3Convert to ratio
30:6-3Option B
JO. Jeff buys 3 boxes of cereal for $2. 99 each a gallon of
mik for $4. 98 and 4 bananas for $0. 50 each. If has a 20% off his
Total bill coupon and he pays with a $20. 00 bil, how much change
will he get back?
Answers
Answer:
people got rock to sell the house and I'm going to fly to the land of the block trained me like a dojo now I'm better than yb and I will be there in about it dirk can you ask mom to get
22. Peter makes $10.00 per hour as a server. The
restaurant also gives him 15% of his wages as a bonus
For good service. He makes for good service he works 40 hours this week .what are his total earnings for the week
A) $46:00
B)460.00
C) $600.00
D)60.00
Answers
Answer:
B) $460.00
Step-by-step explanation: I've got big brain
t takes 12 hours for half of the He in a container to leak out. If the same container is refilled with Ne, how long will it take for half of the Ne to leak out
Answers
The time taken by the Ne to come out of the container will be 26.83 hours
What will be the time?Here it is given in the question that it takes 12 hours for half of the He in a container to leak out If the same container is refilled with Ne then time taken by the Ne gas to leak will be calculated from the formula
[tex]\dfrac{V_{He}}{t_{He}}\times \dfrac{t_{Ne}}{V_{Ne}}=\sqrt\dfrac{M_{Ne}}{M_{He}}[/tex]
Since the volume of both the gases will be same so
[tex]V_{He}=V_{Ne}[/tex]
[tex]\dfrac{t_{Ne}}{t_{He}}=\sqrt5[/tex]
[tex]t_{Ne}=12\times \sqrt5[/tex]
[tex]t_{Ne}=12\times 2.236[/tex]
[tex]t_{Ne}=26.83\ hours[/tex]
Hence the time taken by the Ne to come out of the container will be 26.83 hours
To know more about Gases follow
https://brainly.com/question/25736513
#SPJ1
Two prisms are similar and their ratio of similarity is 3:8.
Find the area of a base of the smaller prism if the area of a base of the larger prism is 23 square units.
Round to the nearest hundredth.
Answers
Answer:
8.63 square units
Step-by-step explanation:
you must set up a proportion.
3 x
- = -
8 23
after you set up that proportion, cross multiply to find x.
8x = 69
divide by 8
x = 8.625, rounded to 8.63
What is the value of
5+5+6+6+7+7+8+8= *2
Answers
Answer:
108
Step-by-step explanation:
Answer:
52 or 104
Step-by-step explanation:
When Victoria moved into a new house, she planted two trees in her backyard. At the
time of planting, Tree A was 32 inches tall and Tree B was 12 inches tall. Each year
thereafter, Tree A grew by 2 inches per year and Tree B grew by 6 inches per year. Let
A represent the height of Tree At years after being planted and let B represent the
height of Tree Bt years after being planted. Graph each function and determine the
interval of time, t, when Tree A is taller than Tree B.
Click twice to plot each line. Click a line to delete it.
Answers
Answer:
Answer:A=6t+29
B=3t+35
Same height in 4 years
Step-by-step explanation:
In (circle)A, m∠BAD = 110. Find mDE.
Answers
Answer:
Line BE = 180 degrees
Therefore, angle BAD + angle DAE = 180 degrees
Angle DAE = 180 -110 = 70 degrees
Step-by-step explanation:
Can I have help on this?
Answers
Answer:
—4.5 and 0
Step-by-step explanation:
when x=—4.5 and x=0 y is included in the domain.
80 PTS!!Two vertices of a right triangle have coordinates (6,-2) and (1,6).
Select EACH ordered pair that could be the coordinates of the third vertex.
[](1,1)
[](6,6)
[](-2,1)
[](1,-2)
Answers
Answer:
(6, 6) and (1, -2)Step-by-step explanation:
Let the given points represent the vertices of the hypotenuse.
Then the parallel lines to each coordinate axis will have intersection at other vertices.
The vertices will be the combination of (x₁, y₂) or (x₂, y₁) of the given ordered pairs:
(6, 6) and (1, -2)See the attached to be more clear.
Line p goes through the origin and contains the point (-2,-5). Which
equation represents line p?
Answers
[tex]\stackrel{origin}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{0})}\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{-5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{0}}}\implies \cfrac{-5}{-2}\implies \cfrac{5}{2}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{\cfrac{5}{2}}(x-\stackrel{x_1}{0})\implies y=\cfrac{5}{2}x[/tex]
if t(x)=3-2x and g(x)=1/x+5, what is the value of (f/g)(8)
Answers
Step-by-step explanation:
I'll assume you meant f(x) = 3 - 2x and not t(x) = 3 - 2x
[tex] \frac{3 - 2x}{ \frac{1}{x + 5} } \times 8[/tex]
[tex]((3 - 2x) \times ( \frac{x + 5}{1} )) \times 8[/tex]
[tex]((3 - 2x)(x + 5)) \times 8[/tex]
[tex]( - 2 {x}^{2} - 7x + 15) \times 8[/tex]
[tex]( \frac{f}{g}) \times 8 = - 16 {x}^{2} - 56x + 120[/tex]