The diagram represents the net of a triangular prism. Chris wants to find thesurface area.
First, finds the area of the two triangles by calculating 0.5 X 16 X 15 X 2. Next, he finds the area of the three rectangles by calculating 17 X 8 X 3. Finally, he adds the areas of the triangles and rectangles to get a total surface area of 648 square meters. Chris makes an error when finding the surface area. Identify the error Chris makes and explain how to correctly calculate the surface area. answer This is a required question
Answers
Answer:
Total Surface Area of the Prism=640 square meters
Chris made a mistake in calculating the area of the rectangular base.
Step-by-step explanation:
Dimension of the Triangle
Base=16m, Height=15m
Area of the Two triangular Faces =0.5 X 16 X 15 X 2=240 square meters
This is correct
Dimensions of the Rectangles
16m by 8m, 17m by 8m, 17m by 8m
Area of the Rectangular Faces=(17X8)+(17X8)+(16X8)=400 square meters
Total Surface Area of the Prism=240+400=640 square metersChris' Error was in calculating the area of the base of the prism as (17 x 8) instead of (16 X 8).
Answer:
640 square meters
Step-by-step explanation:
Chris made an error when calculating the area of the rectangular base. They have a different base. The area of both triangle is 240 and the area of all the rectangles is 400, 400+240=640 square meters.
Related Questions
Karen will be traveling out of town for business during her travel she scheduled to have three dinner for lunch and to breakfast for employee will pay her for this meal at the following rate 20.15 for dinner 12.30 for lunch and 6 .37 for breakfast what is the total will be paid for this meals?
Answers
Answer:
$38.82
Step-by-step explanation:
just add up all the numbers :)
3) An expression containing only numbers is called _ _ _ _ _ _ _ _ _.
Answers
Answer:
An expression containing only numbers is called figures
Step-by-step explanation:
Given the three side lengths, how can you tell if a triangle is a right triangle?
Answer:
Square all side lengths. If the longest side length squared is equal to the sum of the squares of the other two side lengths, Then it is a right triangle.
Answers
Answer:
Square all side lengths. If the longest side length squared is equal to the sum of the squares of the other two side lengths, Then it is a right triangle.
Step-by-step explanation:
Square all side lengths. If the longest side length squared is equal to the sum of the squares of the other two side lengths, Then it is a right triangle.
Given that,
The three side length should be given. Now in order to prove the triangle is a right triangle. The following information should be considered.The side length should be squared. The longest length side should be squared and equivalent to the sum of the square of the other two side length. Also we called as the pythagoras theorem.Learn more: brainly.com/question/17429689
19
:Cual es la solucion en notación decimal
de la ecuacion 4/3y-5=-6
Anota tu respuesta en el espacio provisto.
Answers
For this case we must solve the following equation:
[tex]\frac {4} {3} y-5 = -6[/tex]
Adding 5 to both sides of the equation we have:
[tex]\frac {4} {3} y = -6 + 5[/tex]
Different signs are subtracted and the major sign is placed.
[tex]\frac {4} {3} y = -1[/tex]
We multiply by 3 both sides of the equation:
[tex]4y = -3[/tex]
We divide by 4 on both sides of the equation:
[tex]y = - \frac {3} {4}\\y = -0.75[/tex]
Thus, the solution of the equation is [tex]y = -0.75[/tex]
Answer:
[tex]y = -0.75[/tex]
Alice and Claire go apple picking. When they are done, Claire has 3 times as many apples in her basket as Alice has in hers. All of the apples are whole. What are the three different possibilities for numbers of apples that could be in the baskets?
Answers
Answer:
If Alice has 2, Claire has 6
If Alice has 4, Claire has 12
If Alice has 10, Claire has 30
Step-by-step explanation:
apples = Alice + (Alice x 3)
A towns population increased from 14523 to 16489 what is the percent increase in the towns population
Answers
Answer:
the correct answer is 14% (plzzzz brainlist this answer!)
proof:
Consider the function.
f(x) = -2/3x-24
Which conclusions can be drawn about f^-1(x)? Select two options.
Answers
Answer:
Statement 3
Step-by-step explanation:
y = -2/3x-24
Make x the subject
y + 24 = -(⅔)x
x = -(3/2)(y + 24)
Intersection variables
f^-1(x) = -(3/2)(x + 24)
Slope: -3/2
No domain restrictions
y-intercept: x = 0
-(3/2)(0+24)
-36
(0,-36)
x-intercepts: y = 0
0 = -(3/2)(x + 24)
x = -24
(-24,0)
Linear function, range is all real values of y
Answer:
[tex]f^{-1}(x)\: \textsf{ has a y-intercept of }\:(0,-36)[/tex]
[tex]f^{-1}(x)\: \textsf{ has a range of all real numbers.}[/tex]
Step-by-step explanation:
Given function[tex]f(x)=-\dfrac{2}{3}x-24[/tex]
The given function has an unrestricted domain and range.
Domain: (-∞, ∞) → all real numbersRange: (-∞, ∞) → all real numbersInverse of a function[tex]f^{-1}(x)[/tex] is the notation for the inverse of the function. The inverse of a function is a reflection in the line y = x
Finding the inverse of the given function
Swap f(x) for y:
[tex]\implies y=-\dfrac{2}{3}x-24[/tex]
Rearrange the equation to make x the subject:
[tex]\implies -\dfrac{2}{3}x=y+24[/tex]
[tex]\implies -2x=3y+72[/tex]
[tex]\implies x=-\dfrac{3}{2}y-36[/tex]
Swap the x for [tex]f^{-1}(x)[/tex] and the y for x:
[tex]\implies f^{-1}(x)=-\dfrac{3}{2}x-36[/tex]
The inverse function has a slope of -3/2
The domain of the inverse function is the range of the function.
The range of the inverse function is the domain of the function.
Therefore, the domain and the range are unrestricted.
Domain: (-∞, ∞) → all real numbersRange: (-∞, ∞) → all real numbersThe y-intercept of the inverse function is when x = 0:
[tex]\implies f^{-1}(x)\: \textsf{ has a y-intercept of }\:(0,-36)[/tex]
The x-intercept of the inverse function is when y = 0:
[tex]\implies -\dfrac{3}{2}x-36=0[/tex]
[tex]\implies -\dfrac{3}{2}x=36[/tex]
[tex]\implies x=-24[/tex]
[tex]\implies f^{-1}(x)\: \textsf{ has a x-intercept of }\:(-24,0)[/tex]
Conclusion[tex]f^{-1}(x)\: \textsf{ has a y-intercept of }\:(0,-36)[/tex]
[tex]f^{-1}(x)\: \textsf{ has a range of all real numbers.}[/tex]
A machine makes rolls of paper. The rolls can be as wide as 33 feet or as narrow as 12 feet.
Which inequality describes the possible widths (w) of a roll of paper?
A. 12 2 w > 33
B. 12 SW <33
C 12 <w <33
D. 33 < W<12
E. 12 =w=33
Answers
i like tacos:) thats the answer lol
The inequality for width(w) is 12[tex]\leq[/tex]w [tex]\leq[/tex] 33
What is inequality?An inequality statement in algebra uses the inequality symbol to show the relationship between two expressions. On either side of an inequality sign, the expressions are not the same. It implies that the articulation on the left-hand side ought to be more noteworthy than or not exactly the articulation on the right-hand side or the other way around.
Given that a machine can roll a paper wide as 33feet and narrow as 12 feet
here we can say that 33 feet is the maximum limit of machine and 12 feet is minimum .
so the equation of width(w) should lie between 12 and 33 , so width can be greater or equal to 12 and less and equal to 33.
Hence the possible inequality is 12[tex]\leq[/tex]w [tex]\leq[/tex] 33
Learn more about inequality
https://brainly.com/question/17675534
#SPJ5
Geometry
An angle is formed by:
Answers
Answer:
An angle is formed by the two rays.Jenna was selling muffins and bagels in the lobby to support the math club. Bagels sold for $0.75 and muffins sold for
$1.50. She sold three times as many bagels as muffins and made $112.50 this morning.
Which of the following systems correctly models this situation?
A. 3B-M = 0
10.75 +1.50 M = 112.5
B. B-3M = 112.50
10.75B+1.50M = 0
C. B-3M=0
10.75B +1.50M = 112.50
D. B+3M = 0
10.75B - 1.50M = 112.50
Answers
Help me I don’t understand
Answers
Answer:
H
Step-by-step explanation:
Answer:
G
Step-by-step explanation:
The "range" is a collection of the plotted y values
The diver's maximum height is 28ft, so the range must be less than that.
G is a better answer than F because the diver will eventually reach the water. He will not dive infinitely downward.
(X-2)^2 is subtracted from 3x^2-4x
Answers
Answer:
-2x^2-8x+4
Step-by-step explanation:
the measure of the arc BC is __.
PLEASE HELP ME WITH THIS QUESTION. ITS URGENT!!!!!!!
Answers
The measure of AD = 120 degrees
The measure of arc BC is 40 degrees. If you want the length, it's (2pi/9)(radius)
Answer:
AD=120 degrees
BC=40
Step-by-step explanation:
what is the answer????
Answers
Answer:
[tex](5, 6)[/tex]
Step-by-step explanation:
Step 1: Solve for x in the first equation
[tex]x - y + y = -1 + y[/tex]
[tex]x = y - 1[/tex]
Step 2: Plug in x into the second equation
[tex](y - 1) - 3y = -13[/tex]
[tex]y - 1 - 3y + 1 = -13 + 1[/tex]
[tex]-2y / -2 = -12 / -2[/tex]
[tex]y = 6[/tex]
Step 3: Plug in y into the first equation
[tex]x - (6) + 6 = -1 + 6[/tex]
[tex]x = 5[/tex]
Answer: [tex](5, 6)[/tex]
Answer:
a
Step-by-step explanation:
Find the smallest zero of f(x + 5). x =
|| I
Answers
Answer:
.
Step-by-step explanation:
Let f(x) = x² + x - 6 and g(x) = 3x - 6, what are f ⋅ g and f/g. state the resulting function and it's domain.
Answers
Answer:
[tex](f.g)(x) = 3x^3-3x^2-24x+36[/tex]
Domain of (f.g)(x) = All real numbers
[tex](\frac{f}{g})(x) = \frac{x+3}{3}[/tex]
Domain of (f/g)(x) = All Real Numbers
Step-by-step explanation:
Given functions are:
[tex]f(x) = x^2+x-6\\g(x) = 3x-6[/tex]
We have to calculate f.g and f/g
In order to find f.g we have to multiply both functions
[tex](f.g)(x) = (x^2+x-6)(3x-6)\\= 3x(x^2+x-6) - 6(x^2+x-6)\\= 3x^3+3x^2-18x-6x^2-6x+36\\= 3x^3+3x^2-6x^2-18x-6x+36\\=3x^3-3x^2-24x+36[/tex]
The domain of (f.g)(x) is all real numbers
Now
[tex](\frac{f}{g})(x) = \frac{f(x)}{g(x)}\\= \frac{x^2+x-6}{3x-6}\\=\frac{x^2+3x-2x-6}{3x-6}\\=\frac{x(x+3)-2(x+3)}{3(x-2)}\\=\frac{(x+3)(x-2)}{3(x-2)}\\=\frac{x+3}{3}[/tex]
The domain of (f/g)(x) is all real numbers.
Hence,
[tex](f.g)(x) = 3x^3-3x^2-24x+36[/tex]
Domain of (f.g)(x) = All real numbers
[tex](\frac{f}{g})(x) = \frac{x+3}{3}[/tex]
Domain of (f/g)(x) = All Real Numbers
In the right triangle shown, \angle B = 60^\circ∠B=60
∘
angle, B, equals, 60, degrees and AB = 12AB=12A, B, equals, 12.
How long is ACACA, C?
Answer exactly, using a radical if needed.
Answers
The length of the side AC for the right triangle is 12√3 and the measure of angle C is equal to 30°.
The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.
The basic trigonometric ratios includes;
sine, cosine and tangent.
Considering angle 60 for the right triangle with side AC opposite it we get;
tan 60 = AC/12 {opposite side/adjacent side}
√3 = AC/12
AC = 12 × √3 {cross multiplication}
AC = 12√3
angle C = 180 - (60 + 90) {sum of interior angles of a triangle}
angle C = 180 - 150
angle C = 30°.
Therefore, using the tangent of angles 60 we have the side length AC to be 12√3 and the measure of angle C is 30°.
Question:
In the right triangle shown below, angle B = 60° and side length AB = 12. How long is the side AC, and what is the size of angle C?
Answer exactly, using a radical if needed.
help please help 20 points
Answers
Answer:
B is the awnswer
Step-by-step explanation:
because it is right the spinner has five sections so 1 out of five but then 4 out of 15 times it was spun it landed on q
Chris has 482 comics. He decides to give 94% of them to a friend as a birthday present. How many comics does Chris give away?
Answers
Answer:
453 of them
Step-by-step explanation:
if you do 482 times .94, it is 453.
can’t figure this out!
Answers
[tex]b_n=b_1*q^{n-1}\\b_1=1, q=\frac{3}{1} =3\\b_n=1*3^{n-1}[/tex]
(b and t are the same)
P.S. Hello from Russia
I am pretty sure
Weight of Male
Dogs (lb.)
stems
What is the general shape of the data?
skewed
symmetric
constant
many peaks and valleys
DONE
leaves
8|1 represents 81
Answers
Answer: on edg it’s the first answer ; Skewed
Answer:
Skewed
Step-by-step explanation:
On edge 2020
Can anyone please help me with this?
Answers
1.
20 pounds of strawberries
5 persons
20 ÷ 5 = 20 pounds ÷ 5 persons = 4 pounds per person
Answer: 4 is the pounds per person, how much each person received
2.
20 pounds of strawberries
5 pounds per person
20 ÷ 5 = 20 pounds ÷ 5 pounds/person= 4 persons
Answer: 4 is the number of people we're splitting among
What is the value of n that makes the expression (-5y + 4) + (7y - 9) equivalent to ny – 5?
Answers
Answer:
2
Step-by-step explanation:
If we evaluate (-5y + 4) + (7y - 9), we get 2y - 5.
Therefore, N must equal 2.
Q: Find the area of the figure shown below and choose the appropriate result.
6 cm
3 cm
3 cm
11 cm
3 cm
3 cm
6 cm
Answers
Answer:6cm
Step-by-step explanation:
the answer is
Step-by-step explanation:
18. mark brainliest!
what is seven divided by twenty four?
Answers
Answer:
0.29166666666
Step-by-step explanation:
You divide 7/24 in a calculator and u get this anwer.
Marisa wants to buy a new XBOX that costs $300.00. She already saved $25.00 and plans to save an additional $10.00 per week. Write an expression that shows the amount of money Marissa has saved after ANY number of weeks. (Remember no equal sign! )
Answers
Answer:
25 + 10x
Step-by-step explanation:
First, add the base $25 from the start.
Next, add $10 per week. The number of weeks is the unknown, and is represented by x, giving 10x.
Put them together, you get 25 + 10x.
Answer:
10x+25
Step-by-step explanation:
The answer is 10x+25 because 25 is the initial value, which is the y intercept. Then, since she saves 10$ per week, it is 10*x, x representing the number of weeks.
find the missing angle.. x=??
Answers
Answer: 55°
Step-by-step explanation:
The Angles, 35° and x are equal to a right angle. Right angles are always 90°, which means that 35 + x = 90. Therefore 90°- 35° = 55°.
Answer: 90-35= 55
Step-by-step explanation:
Need Help With This Question
Explain your Reasoning Plz!!!!
Answers
Answer:
Yes
Step-by-step explanation:
If you have an equalateral triangle with the angle in the bottem left corner, then flip it sideways,right and do the same with the other but, left, it can make a straight angle
|\
| \
| \
| \
| \ I tried my best
|_____\
Answer:
yes
Step-by-step explanation: you can have 2 copies and then add 60 3 times and thats 180 which is what is a straight angle hope this helps god bless
What is the measure of ∠3 if c∥d ?
Answers
Answer:
72°
Step-by-step explanation:
Since c||d, ∠3 would be the same as ∠1
Since those two are supplementary angles, subtract 180 with 108 to get the measure of ∠1 which is 72°.
Since ∠1 and ∠3 are corresponding angles, they'll be congruent meaning ∠3 is also 72°.
can sb please answer this
Answers
Answer:
A
Step-by-step explanation:
A line of best fit needs to match the direction of the points and fit in-between the points as much as possible
C is not the right direction
D is not the right direction
B is to the left of the points