Stacy is covering the box below with sticky wrapping paper. If the paper cost 2 cents per square centimeter, how much will it cost to cover the entire box.
Answers
Given:
The shape of box is a right triangular prism.
Paper cost = 2 cents per square centimeter
To find:
The cost to cover the entire box.
Solution:
In the given right triangular prism, we have 3 rectangle surfaces and 2 triangular surfaces.
Area of a rectangle is
[tex]Area=length\times width[/tex]
Area of rectangle with length 4 cm and width 3 cm is
[tex]A_1=4\times 3=12\text{ cm}^2[/tex]
Area of rectangle with length 4 cm and width 4 cm is
[tex]A_2=4\times 4=16\text{ cm}^2[/tex]
Area of rectangle with length 4 cm and width 5 cm is
[tex]A_3=4\times 5=20\text{ cm}^2[/tex]
Area of a triangle is
[tex]Area=\dfrac{1}{2}\times base\times height[/tex]
Area of triangle with base 3 cm and height 4 cm is
[tex]A_4=\dfrac{1}{2}\times 3\times 4[/tex]
[tex]A_4=\dfrac{12}{2}[/tex]
[tex]A_4=6\text{ cm}^2[/tex]
Bottom and top triangular surfaces are equal.
[tex]A_5=A_4=6\text{ cm}^2[/tex]
Now, total surface area of the box is
[tex]A=A_1+A_2+A_3+A_4+A_5[/tex]
[tex]A=12+16+20+6+6[/tex]
[tex]A=60\text{ cm}^2[/tex]
Paper cost = 2 cents per square centimeter
Cost of 60 square centimeter paper is
[tex]60\times 2=120\text{ cents}[/tex]
Therefore, the cost to cover the entire box is 120 cents or $1.2.
Related Questions
Is the following statement true or false?
The triangle proportionality theorem only applies to right triangles.
A.) False
B.) True
Answers
Answer:
A.) False
Step-by-step explanation:
The triangle proportionality theorem can apply to all triangles, because if a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally. This situation does not just apply to right triangles.
Answer:
I think it's actually True
Step-by-step explanation:
The triangle proportionality theorem can apply to all triangles, because if a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally. This situation does not just apply to right triangles.
6h + 24 = 0
What is h?
Answers
Answer:
h= -4
Step-by-step explanation:
6h + 24 = 0
subtract 24 on both sides
6h = -24
divide 6 on both sides
h= -4
The scale on a map is 4 cm = 25 miles. Dave measures the distance to the next town at 9 cm. How many miles away is the next town?
Answers
Answer:
58.333....
Step-by-step explanation:
8cm=50
1cm so 25/3
8.3333333333
Answer:
56.25 or 56 1/4
Step-by-step explanation:
If 4 cm is equal to 25 miles then we can divide 25 by 4 to see how many miles is in 1 cm.
25 divided by 4 is 6.25 or 6 1/4
Therefor 1 cm is equal to 6.25 miles.
Now we multiply 9 by 6.25 to get 56.25
Sheldon gets paid $4 per hour to babysit his cousin. This
weekend, he babysat on both Saturday and Sunday. He
made a total of $56. Sheldon babysat for 8 hours on
Sunday. For how many hours did he babysit on Saturday?
Let x = hours spent babysitting on Saturday. Choose the equation and
solution steps that correctly represent this problem.
Answers
Answer:
6
Step-by-step explanation:
4 times 8 = 32. 56 - 32 = 24. 24 divided by 4 = 6.
For each year that a gift card goes unused, the value of the card decreases by 5%. What is the value of a $25.00 gift card after 1 year? Show your work.
Answers
Answer:
25*0.95 = 23.75
Step-by-step explanation:
i multiplied by 0.95 because the card is still worth 95% of it's original worth.
you could've done:
25*0.05= 1.75 and then subtract that from 25 to get 23.75, i just find the other way easier.
i hope this helped :)
Tiffany spent 30 minutes on math homework and 15 minutes on science homework. What is the ratio of the minutes she spent on math homework compared to the minutes she spent on science homework?
Answers
Answer: The ratio would be 30/15, simplified as 2/1. So, she spent half as much time on science, or twice as much on math.
Step-by-step explanation:
4x³y²/4yx²•y⁴
I need to simplify that ^^
Answers
What is the solution to 2x-8<12?
x<2
x<8
x<10
x<40
Answers
Evaluate the function:
f(x)=x2−x, find f(−10)
Answers
= 100 + 10
= 110
What is the value of 1 − 2sin2(105°)?
a Negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction
b Negative one-half
c One-half
d StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Answers
Answer:
D. d StartFraction StartRoot 3 EndRoot Over 2 EndFractionStep-by-step explanation:
What is the value of 1 − 2sin^2(105°)?
Given the expression
1 − 2sin²(105°)
= 1 - 2(sin105)²
= 1 - 2(0.9659)²
= 1 - 2(0.9330)
= 1 - 1.8660
= 0.8660
0.8660 can also be expressed as √3/2
Hence 1 − 2sin²(105°) is √3/2
Answer: D
Step-by-step explanation:
It IS sqrt3/22
What is the probability of spinning an odd number
Answers
Answer:
If the spinner has an odd number of numbers on it, the probability of spinning an odd number will vary. For instance, if there are 3 spaces on the spinner, the probability of spinning an odd number will be 23 . However, if there are 11 spaces, the probability will be 611
-2x - (-18x + 126) = -18
Answers
Answer:
6.75 or 6and 3/4
Step-by-step explanation:
-2x - (-18x + 126) = -18
-2x + 18x - 126 = -18
16x = -18 + 126
16x = 108
x = 6.75 OR 6 3/4
Pls makr brainliest tysm
Which table shows a function that is decreasing only over the interval (-1, oo)?
х
-3
-2
-1
0
1
2
f(x)
-1
-3
-5
-2
-1
2
х
-3
-2
-1
0
1
2
f(x)
-3
-5
-7
-6
1
|--1
х
-3
-2
-1
0
1
2
f(x)
-4
-3
-1
2
1
-6
O
f(x)
х
-3
-2
-1
0
1
2.
-1
1
0
4
-8
Answers
Answer:
the thrid one
Step-by-step explanation:
The table that shows a function that is decreasing only over the interval (-1, oo) is table 3
For a table to show a decreasing interval, then the table values must reduce as the x value increase
The interval (-1, oo) means that, -1 is exclusive of the x values.
So, we start from x > -1
The first table shows an increasing function for x > -1
The second table shows an increasing and decreasing function for x > -1
The third table shows a decreasing function for x > -1
The last table shows a decreasing function for x > -1 but increases at other values
Hence, the table that shows a function that is decreasing only over the interval (-1, oo) is table 3
Read more about continuous functions at:
https://brainly.com/question/9412728
What is the slope of the line through (0,5) and (-2, -1)?
(0.5)
3
2
X
2
4
-4 -3
+(-2,-1)
-1
-2
-3
A. -3
O
B. -
o
C. 3
O
D.
10
PREVIOUS
Answers
Answer: 3
Step-by-step explanation:
*Slope formula*
Y2 - Y1 / X2 - X1
-1 - (5) / -2 - (0) = -6/-2 = 3
sea level = 0
A submarine is 120 ft below sea level. It climbs 50 ft towards sea level.
Where is the submarine compared to sea level now?
A. −170 ft
B. 70 ft
C. −70 ft
Answers
Answer:
c. -70
Step-by-step explanation:
subtract 50 from 120 you get 70, and since we are below sea level it is negative
HELP ILL MARK YOU BRAINLIST write in y=mx+b form HELP ILL MARK YOU BRAINLIST write in y=mx+b form
Answers
Answer:
y=-0.25x +6
Step-by-step explanation:
3=(-0.25)12+c
3=-3+c
6=c
Jada had some dimes and quarters that had a total value of $12.50. The relationship between the number of dimes, d, and the number of quarters, q, can be expressed by the equation 01.d+0.25q= 12.5.
Question 1 - 1 pts
If Jada has 4 quarters, how many dimes does she have?
Question 2 - 1 pts
If Jada has 10 quarters, how many dimes does she have?
Question 3 - 1 pts
Is the number of dimes a function of the number of quarters? If yes, write a rule (that starts with d =...) that you can use to determine the output, d, from a given input, q. If no, explain why not.
Question 4 - 1 pts
If Jada has 25 dimes, how many quarters does she have?
Question 5 - 1 pts
If Jada has 30 dimes, how many quarters does she have?
Question 6 - 1 pts
Is the number of quarters a function of the number of dimes? If yes, write a rule (that starts with q =...) that you can use to determine the output, q, from a given input, d. If no, explain why not.
Answers
2 She has 100 dimes because 0.10*100=10.00 and 0.25*10= 2.5 10+2.5=12.5
3 I think they don’t function because quarters are worth more than a dime.
4 She has 40 quarters because 0.25*40=10.00 0.10*25=2.5 10.00+2.5=12.5.
5 She has 38quarters because 0.25*38=9.5 0.10*30=3 9.5+3=12.5
6 Yes they can function because q=dx-12.5
Can someone please help me solve this??
Answers
Answer: X = - 12/5
Step-by-step explanation:
8+\left\{-2-10x\right\}=30
8+\left\{-2-10x\right\}=30
Hhhjeeeeelllppppp pppplllllsss
Answers
Answer:
c= 89
Step-by-step explanation:
the angles of a triangle add up to 180
in this triangle, our angles are:
c-33
c-25
c-29
this means that
(c-33) + (c-25) + (c-29) = 180
3c - 87 = 180
add 87 to both sides
3c = 267
divide both sides by 3
c = 89
Given that f(x)=2x+1
a) find f(2)
b)find f^-1(x)
c)f^-1(7)
Answers
Answer:
a) [tex]f(2) = 5[/tex], b) [tex]f^{-1} (x) = \frac{x-1}{2}[/tex], c) [tex]f^{-1} (7) = 3[/tex]
Step-by-step explanation:
a) We evaluate the function at [tex]x = 2[/tex]:
[tex]f(2) = 2\cdot (2) + 1[/tex]
[tex]f(2) = 4+1[/tex]
[tex]f(2) = 5[/tex]
b) First, we determine the inverse of the function by algebraic means:
1) [tex]y = 2\cdot x + 1[/tex] Given
2) [tex]y +(-1) = 2\cdot x + [1+(-1)][/tex] Compatibility with addition/Associative property
3) [tex]y + (-1) =2\cdot x[/tex] Existence of additive inverse/Modulative property
4) [tex]2^{-1}\cdot [y+(-1)] = (2\cdot 2^{-1})\cdot x[/tex] Compatibility with multiplication/Commutative and associative properties
5) [tex][y+(-1)]\cdot 2^{-1} = x[/tex] Existence of multiplicative inverse/Modulative and commutative properties
6) [tex]x = [y+(-1)]\cdot 2^{-1}[/tex] Symmetry property of equality
7) [tex]x = \frac{y-1}{2}[/tex] Definitions of subtraction and division
8) [tex]f^{-1} (x) = \frac{x-1}{2}[/tex] [tex]x = f_{-1} (x)[/tex]/[tex]y = x[/tex]/Result
c) Now we evaluate the expression obtained on b) at the given number:
[tex]f^{-1} (7) = \frac{7-1}{2}[/tex]
[tex]f^{-1} (7) = 3[/tex]
help me translate this into an expression!
" Four times the quotient of twice a number and eight "
thank you!
Answers
Answer:
[tex]4(\frac{2x}{8})[/tex]
Step-by-step explanation:
There you go! :)
Enter your answers in the boxes.
m =
Answers
Answer:
m = [tex]\frac{5}{7}[/tex]
Step-by-step explanation:
A( [tex]x_{1}[/tex] , [tex]y_{2}[/tex] )
B( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )
[tex]m_{AB}[/tex] = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
~~~~~~~~~~
(0, 2)
(7, 7)
m = [tex]\frac{7-2}{7-0}[/tex] = [tex]\frac{5}{7}[/tex]
There are 3 teachers to 125 pupils during the school program. How many teachers were
there if there were 2 500 pupils
Answers
Answer:
There were 60 teachers.
Step-by-step explanation:
☆We can use proportion to solve this!
[tex] \frac{3 \: teachers}{125 \: pupils} = \frac{x}{2500 \: pupils} \\ \\ \frac{125x}{125} = \frac{7500}{125} \\ \\ x = 60[/tex]
santiago drew a scale drawing of a community college. he used the scale 2 centimeters : 1 meter. The actual length of a building at the college is 76 meters. how long is the building on the drawing ?
Answers
Answer:
The building is 152 cm long.
Step-by-step explanation:
-We can solve using proportion!:
[tex]\frac{2 cm}{1 meter} = \frac{x}{76 meters} \\\\\frac{1x}{1} =\frac{152}{1} \\\\\\x = 152[/tex]
Solve the following equation using the substitution method 2x - y = -2 y = 8
Answers
A magic square is a square array of numbers arranged so that the numbers in all rows, all columns, and the two diagonals have the same sum. Use the properties of a magic square to fill in the missing numbers in the magic square on the right. CO. 16 24 Use the figure with the letters below to give the missing numbers. CO A= B= C= B 16 D= E= E 24
Answers
Answer:
I think a is 9 cause 9+ 8 is 17 ??
The value of A,B,C,D and E will be 23,25,7 15 ,and 9 respectively.
What is summation?A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities. Here are always an integer number of terms in a summation. There could be only two terms, but there could be one hundred, thousand, or a million. There are summations with an infinite set of parameters.
If we make the sum of each side diagonally then the sum should be 48.
So,
D+ 16 + 17 = 48
D = 15
And
15 + B + 8 = 48
B = 25
And,
25 + 16 + C = 48
C = 7
And,
8 + A + 17 = 48
A = 23
And,
15 + E + 24 = 48
E = 9
Hence "The value of A,B,C,D and E will be 23,25,7 15 ,and 9 respectively".
For more information about summation
brainly.com/question/10777222
#SPJ2
Which equation js equivalent to 4(2x-3)-3(x-4)+7x=6?
Answers
What is the slope of the line that passes through the points (–20, 18) and (30, 14)?
Negative StartFraction 25 Over 2 EndFraction
Negative five-halves
Negative two-fifths
Negative StartFraction 2 Over 25 EndFraction
Answers
Answer:
-2/25
Step-by-step explanation:
m= y2-y1/x2-x1
m=14-18/30 -(-20)
m=-4/50
m=-2/25
Answer:
-2 /25
Step-by-step explanation:
solve the equation:
3t²-3t+1=0
Answers
Answer:
There are no solutions
Step-by-step explanation:
Answer:
?? im not very good at math
Step-by-step explanation:
4. Which shows that these two rectangles are similar?