What is the surface area of the piece of cheese?
A. 14.5 square inches
B. 29 square inches
C. 32. square inches
Answers
As you can see in the diagram, the triangular prism has the following faces:
1) Two triangular faces
2) Three rectangular faces.
Surface area is the SUM of the areas of all of the faces.
Let us find these faces one by one:
1.
As you know, the area of the triangle is:
[tex]\frac{1}{2}* base*height[/tex]
Since, the base = 6 inches, and height = 4 inches;
Therefore, The area of ONE triangle = (1/2) * 6 * 4 = 12 inches squared.
In triangular prism, there are two triangles, therefore,
Two triangular faces = 2 * 12 inches = 24 inches squared --- (A)
2.
Now let us find the areas of three rectangular faces...
Since, two of the three rectangular faces are the same, therefore, we would find the area of one rectangular face, and multiple the result with two to get the total area of two rectangular faces.
Area of one rectangular face = base * height.
Since, base = 0.5 inches, height = 5 inches, therefore,
Area of one rectangular face = 0.5 * 5 = 2.5 inches squared.
Now that we have one rectangular face, therefore,
Area of two rectangular faces = 2 * 2.5 = 5 inches squared.
The area of the third rectangular base = 6 * 0.5 = 3 inches squared
Therefore,
The area of the three rectangular faces = 5 + 3 = 8 inches squared --- (B)
Now add both "area of two triangular faces(A)" and "area of three rectangular faces(B)" to get the final surface area of the triangular prism.
Surface Area of the triangular prism = Area of Two Triangular faces + Area of Three Rectangular faces
Surface Area = 24 + 8 = 32 inches squared
The surface area of the triangular prism = 32 inches squared.
The correct option is: C
Related Questions
Which line is perpendicular to AB? Huryr plexs
Answers
CA ⊥ AB
_____________
Whats this??>>>>>>>>>helpppp
Answers
Answer: A: 16, B:2
Step-by-step explanation:
A: absolute value of a number is always positive, 7+9=16
B: just do the inside
.......................................................................................................................................................................
Answers
Answer:
See below.
Step-by-step explanation:
For this problem, we are asked to find equivalent expressions.
We should use the Distributive Property.
What is the Distributive Property?
The Distributive Property is a property that allows us to multiply the number outside of the parentheses into the numbers inside the parentheses. Think of the Distributive Property in the form of x (y + z); We multiply x with y and z.
Since we know what the Distributive Property is, we can begin finding equivalent expressions.
Let's start by distribution:
[tex]3x+3(x+y)\\3x + 3x + 3y\\6x + 3y[/tex]
A is a correct option.
Let's check B and C.
Distribute:
[tex]3(x+x+y)\\3x+3x+3y\\6x+3y[/tex]
B is a correct option.
Distributing isn't needed for expression C.
[tex]3xy\neq 6x + 3y[/tex]
C is an incorrect option.
A and B are the correct options.
The green turtle lays eggs that are approximately spherical with an average diameter of 4.5 centimeters. Each turtle lays an average of 113 eggs at one time. Approximately, what is the total volume of these eggs, to the nearest cubic centimeter?
A) 43,132
B) 5,390
C) 4,044
D) 48
Answers
88= 4d + 8 solve for d
answer fast pls
Answers
Answer:
d = 20
Step-by-step explanation:
4d + 8 = 88
subtract 8 from both sides
4d = 80
divide 4 from both sides
d = 20
Answer:
d = 20
Step-by-step explanation:
Hope this helps! <3
find the volume of the rectangular prism
help thank you
Answers
Answer:
40 cubic feet
Step-by-step explanation:
5×4=20
20×2=40
=40 cubic feet
How much will the storage container hold?
Answers
Answer: A One-trip 10-foot container provides 80 square feet of sturdy storage space.
Step-by-step explanation:
I had a question like this before
V=(10*4*5)+(10*1*3)
40 POINTS PLEASE HELP, HURRY
Which graph represents the equation y equals one half times x plus 2?
graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1
graph of a line passing through the points negative 2 comma 0 and 0 comma 1
graph of a line passing through the points negative 2 comma negative 3 and 0 comma negative 2
graph of a line passing through the points negative 4 comma 0 and 0 comma 2
Answers
Answer:
graph 1 is correct.
Step-by-step explanation:
So this is a question from my homework could u pls help also explain
Answers
Answer:
multiply each dimension of the prism by two
Step-by-step explanation:
so yeah
Answer:
the correct answer is D
Step-by-step explanation:
MATH
Answers
Answer:
Radius = 2.5559cm
To the nearest tenth = 3cm
Step-by-step explanation:
Volume of bottle = 160cm³
Height of bottle = 7.8cm
π = 3.14
Radius of bottle = r
Using the formula,
V = πr²h160 = (3.14)(r)²(7.8)
160= 24.492r²
Dividing both sides by 24.492,
160/24.492 = r²
r² = 6.5327, which is approximately 6.533
Making r the subject,
r = √6.533
r = 2.5559, which is approximately 2.556
Round to the nearest tenth = 3
Therefore, the radius of the cylindrical bottle is 3cm.
Hope it helps. Happy New Month. Have a nice week.
To the nearest tenth = 3cm
Please Help guys!!!
-Graphing Linear equalities with slope and y-intercept-
Answers
Answer:
slope = 1
y-intercept = -3
equation: y = x - 3
Step-by-step explanation:
slope = (y₂ - y₁) / (x₂ - x₁)
choose any 2 consecutive x. y pairs and plug the numbers into the equation. I pick (0, -3) and (1, -2)
slope = (-2 - -3 / (1 - 0) = 1/1 = 1
y-intercept = -3 this is where the line crosses the y axis at point (0, -3)
Equation: y = mx + b = (1)x + (-3) = x - 3
y = x - 3
To draw the graph, it's easy (sorry, Brainly doesn't provide drawing tools):
put the first point at (0, -3) then go up 1, over 1, up 1, over 1, etc. because the line has a slope of 1/1.
the line should slant up because it has a positive slope
Mrs.Kale has 100 students. 50 percent are girls. What percent are boys?
Answers
50% of the students are boys.
Lol
Answer:
50%
Step-by-step explanation:
100 students = 100%
100%-50%(girls)=50%(boys)
answer= boys=50%
I need help due at 7:45
Answers
Answer:
C
Step-by-step explanation:
Answer:
Number 3
Step-by-step explanation:
You plot out the equation and that line is your answer.
please help me its a big grade
Answers
Answer:
y=⅖x
Step-by-step explanation:
for x=40:
⅖x = ⅖×40 = 16 = y
for x=20:
⅖x = ⅖×20 = 8 = y
for x=10:
⅖x = ⅖×10 = 4 = y
Hence, proved.
Susan the author owns a independent bookstore. On Monday,she sells 500 books for $30 each. On Tuesday she sells 50 books for $60 each. On Wednesday she sells 300 books for $80 each. Thursday she sells 400 books for $70 each. Friday she sells 800 books for $800 each. How much money did she make those 5 days?
Answers
Answer:
She made $710,000.
Step-by-step explanation:
First, let's multiply how many books she sells per day to the price for each of them. 500x30= 15000, 50x60=3000, 300x80=24000, 400x70=28000, and lastly, 800x800=64000. Next, add up all the numbers to get your total of $710,000!
Hope this helps!
Hope this helps! Let me know if I got this correct ! :)
The factors of 52 and the first three factors of 130 are listed in the table below. Fill in the remaining five factors of 130 and then identify the greatest common factor, or GCF, of 52 and 130.
Answers
Answer: Factors of 52 - 1, 2, 4, 13, 26, 52
Factors of 130 - 1, 2, 5, 10, 13, 26, 65, 130
Factors of Both - 1, 2, 13, 26
Step-by-step explanation:
I can't see the table, but hopefully the factors above will help you
20 points and guaranteed brainliest!! A rectangular prism is 3 inches long, 5 inches wide, and has a height of 6 inches. What is its surface area?
90 in 2
120 in 2
126 in 2
63 in 2
Answers
Answer: 126 in ^2
Step-by-step explanation:
The surface area of a rectangular prism is given by the formula:
Surface Area = 2lw + 2lh + 2wh
where l, w, and h are the length, width, and height of the rectangular prism, respectively.
Substituting the given values, we get:
Surface Area = 2(3)(5) + 2(3)(6) + 2(5)(6)
Surface Area = 30 + 36 + 60
Surface Area = 126 square inches
Therefore, the surface area of the rectangular prism is 126 in^2.
Answer: 126!!
Step-by-step explanation: A=2(wl+hl+hw)
Factor this expression completely and then place the factors in the proper location on the grid.
9 a⁴ - b²
Answers
Answer:
(3a^2 + b)(3a^2 - b)
Step-by-step explanation:
I AM GIVING 27 POINTS for 6 Questions Help
Answers
Answer:
36.04%
Step-by-step explanation:
173 x 100 = 17300
17300/480
= 36.04%
Answer:
1. 33% of toys will be defective this day
2. Approximately 2,286 people is the towns population
3. Approximately 35 home runs were hit by the Dodgers in 2014
4. Mr. Hollins budget is $5000
5. Eddie has read about 36% of the book
6. 300 grams of carbohydrates are recommended per day
Can anyone plss help?
Answers
Answer:
x= 5/2 or 2.5
Step-by-step explanation:
------------
Answer:
x=2.5
Step-by-step explanation:
2.5×4=10
10+10+30+30=80
Find the area of rectangle ABCD. Round your answer to the nearest tenth if necessary.
Answers
Answer:
336.4 [tex]in^{2}[/tex]
Step-by-step explanation:
Area = length times width
a = (14.5)(23.2)
a = 336.4 [tex]in^{2}[/tex]
Helping in the name of Jesus.
Answer: 336.4
Step-by-step explanation: yes
A server wants to rearrange the tables into for identical rows of small and large tables. How can you rewrite 12 a plus 8B, so that the expression shows the number of small tables and the number of card tables in each row write your answer in the blanks (part b)
Answers
what is the surface area?
Answers
Answer:
54 m²
Step-by-step explanation:
a cube's sides are all the same, and it has 6 sides, so simply find the area of one side and multiply that by 6.
3×3 = 9
9×6 = 54
Since it’s a cube there’s 6 faces
Since each face is a square to find the area it’s just 3^2
So it’s 9*6=54m^2
A triangle undergoes a sequence of transformations. First, the triangle is dilated by a scale factor of 1/3 about the origin. Then the triangle is reflected over the x-axis. Finally, the triangle is translated left 3 units and up 2 units.
How does the image triangle compare to the pre-image triangle?
PLEASE HELP ASAP!!!!! 90 POINTS GUYS!!!!!
Answers
The image of the triangle…..
Answer: Your welcome!
Step-by-step explanation:
The final coordinates of the triangle after these transformations are (-4, -4), (-4, -1), and (-1, -4).
The triangle was dilated by a scale factor of 1/3, which means that the lengths of each side were divided by 3. The triangle was then reflected over the x-axis, which means that the y-coordinates of each vertex were multiplied by -1. Finally, the triangle was translated left 3 units and up 2 units, which means that 3 was subtracted from each x-coordinate and 2 was added to each y-coordinate. This resulted in the final coordinates of (-4, -4), (-4, -1), and (-1, -4).
In the diagram below, l⊥m.
Answers
Answer:
This means that line l and line m are perpendicular.
Step-by-step explanation:
PLEASE I BEG HELP ME!!!!! For GCF and LCM word problems how do you know when its asking for GCF or if its asking for LCM????
What are some keywords to look out for???
Answers
Answer:
GCF is Greatest common factor and LCF Is least common factor
LCM: smallest, minimum, first, next, repeated over, when both will be equal
number 12 please!
12. A wall contains a rectangular window. The area (in square feet) of the window is represented by x ^ 2 - 14x + 48
a. Write a binomial that represents the height of the window.
b. Find the perimeter of the window when the height of the wall is 12 feet.
Answers
Answer :
a - binominal = an algebraic expression of the sum or the difference of two terms. So I put it in the perimter 12. 6+12=18. So the width would be 18. 18+12+18+12 = 30+30 = 60. just put that ig ??
Question : Is this RSM? Because if I knew the grade , advanced/normal/honors I would be able to help u more
Solve step by step : x=12 because it said the height is 12.
Inside, x-6, so therefor it would really be, 12-6. Which we know would be 6.
Perimeter : 60
now we know the inside is 6. The outside height is 12. 6+12=18. So the width would be 18. 18+12+18+12 = 30+30 = 60.
H O P E I H E L P E D ! ! !
how to expand 0.4 (-5 - 7y - 13.8)
Answers
Answer:
-2-2.80y-5.52
Step-by-step explanation:
distribute and multiply 0.4 to everything in the parentheses the symbols may be incorrect
Answer: The answer is -2-2.80y-5.52
Step-by-step explanation:
Each equation represents a proportional relationship. Choose the equations for which the constant of proportionality is 1/4
.
A) y = 4x
B) y = 0.25x
C) 4y = x
D) 32y = 8x
E) 1/4y = 2x
Answers
Answer: E)1/4y=2x
Step-by-step explanation:
The constant of proportionality represents the ratio between the dependent and independent variables in a proportional relationship. If the constant of proportionality is 1/4, it means that the dependent variable is one-fourth the value of the independent variable.
So, we need to determine which equations have a constant of proportionality of 1/4:
A) y = 4x
The constant of proportionality in this equation is 4, not 1/4.
B) y = 0.25x
The constant of proportionality in this equation is 1/4.
C) 4y = x
The constant of proportionality in this equation is 1/4, since we can rewrite it as y = 1/4x.
D) 32y = 8x
We can simplify this equation by dividing both sides by 8:
4y = x
The constant of proportionality in this equation is 1/4.
E) 1/4y = 2x
We can rewrite this equation as:
y = 8x
The constant of proportionality in this equation is 8, not 1/4.
Therefore, the equations for which the constant of proportionality is 1/4 are B), C), and D).
Answer:
B, C, D
Step-by-step explanation:
You want to identify the equations that have a constant of proportionality of 1/4.
Proportional relationA proportional relationship can be written in the form ...
y = kx
where k is the constant of proportionality.
You want to identify those relations that are equivalent to this with k=1/4.
ChoicesA) y = 4x . . . . . k = 4 ≠ 1/4
B) y = 0.25x . . . . . k = 0.25 = 1/4
C) 4y = x ⇒ y = 1/4x . . . . . k = 1/4
D) 32y = 8x ⇒ y = 8/32x = 1/4x . . . . . k = 1/4
E) 1/4y = 2x ⇒ y = 2/(1/4)x = 8x . . . . . k ≠ 1/4
The relations with a constant of proportionality of 1/4 are B, C , D.
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If [tex](x+\frac{1}{x} ) = 9[/tex] and [tex](x^2 + \frac{1}{x^2} ) = 53[/tex], then find the value of [tex](x - \frac{1}{x} )[/tex].
Please answer asap!