The net of a triangular prism and its dimensions are shown below. What is the total surface area of the prism? a) 54 m squared b) 60 m squared c) 74 m squared d) 76 m squared (both the top and bottom are triangles I just couldn't fit it all into the picture).
Answers
Answer:
The answer is C. 74
Step-by-step explination
You have to multiply 5x4=20. Then you do 3.5x20=70, and then you add 4 and then you get C. 74
Hope this helped!!!
The total surface area of the prism is 74 square meters, Option C is correct.
What is Area of Rectangle?The area of Rectangle is length times of width.
In the given figure there are 3 rectangles.
Area of rectangle is length times width
Length is 5m and width is 4m
Area of rectangle = 5×4
=20 square meters
Area of three rectangles = 3(20)
=60 square meters
There are four right triangles, base is 2m and height is 3.5 m
Area of rectangle = 1/2 × 2× 3.5
=3.5 square meter
As there are 4 right triangles 4(3.5)
Area of 4 right triangles is 14 square meters
Total surface area = 60+14
=74 square meters
Hence, the total surface area of the prism is 74 square meters, Option C is correct.
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Related Questions
Which points have a distance of 6 units between them?
Select all that apply.
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Answer: The answers are A, B, C.
Step-by-step explanation:
Please help due today!!
Answers
Evaluate.
[tex]3 \frac{1}{5}-(-\frac{7}{2})+(-1)[/tex]
Answers
Answer:
57/10 or 5 7/10
Step-by-step explanation:
Simplify the following:
3 + 1/5 + 7/2 - 1
Put 3 + 1/5 + 7/2 - 1 over the common denominator 10. 3 + 1/5 + 7/2 - 1 = (10×3)/10 + 2/10 + (5×7)/10 - 10/10:
(10×3)/10 + 2/10 + (5×7)/10 - 10/10
10×3 = 30:
30/10 + 2/10 + (5×7)/10 - 10/10
5×7 = 35:
30/10 + 2/10 + 35/10 - 10/10
30/10 + 2/10 + 35/10 - 10/10 = (30 + 2 + 35 - 10)/10:
(30 + 2 + 35 - 10)/10
| 3 | 5
| 3 | 0
+ | | 2
| 6 | 7:
(67 - 10)/10
| 6 | 7
- | 1 | 0
| 5 | 7:
Answer: 57/10 or 5 7/10
Consider the 3-digit number which are written by using only the digits 1,2,3,4,5. How many of these have two equal digits and one different digit?
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5 3-digit numbers that have three equal digits.
we need to apply the principle of inclusion-exclusion to account for the fact that some 3-digit numbers may be counted multiple times.
any 3-digit number that has three equal digits will be counted twice once as a 3-digit number with two equal digits and one different digit, and once as a 3-digit number with three equal digits.
There are 5 choices for the digit that is repeated, and 1 way to arrange the digits, so there are 5 3-digit numbers that have three equal digits.
Therefore, we need to subtract 5 from the total number of 3-digit numbers that have two equal digits and one different digit.
60 number are 3-digit numbers that have two equal digits and one different digit.
What is permutation and combination?Permutation and combination are ways to arrange values in a set. In permutation the order of arrangement matters, but in combination the order of arrangement does not matter.
The given digits are,
1, 2, 3, 4, 5.
Since, to find the 3 digits numbers which are written by using given digits, and have two equal digits and one different digit,
Here order of arrangement matters.
Use permutation formula,
From 5 digits, 3 are chosen,
Ways of arrangement = ⁵P₃
= 5! / (5-3)!
= 5! / 2!
= 5 x 4 x 3 x 2! / 2!
= 60
There are total 60 different ways, in which numbers can be arranged.
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identify the slope and y-intercept of the function y = -2x+4
Answers
Answer:
Slope = -2
y-intercept = (0, 4)
Step-by-step explanation:
The equation is written in slope-intercept form, y = mx + b, where "m = slope" and "b = y-intercept". Thus, we have to identify what part of the equation is part of each element in slope-intercept form:
Slope-intercept form
y = mx + b
Equation:
y = -2x + 4
m = -2
b = 4
Thus, the slope is -2 and the y-intercept is (0, 4)
Sam’s Soups is open 6 days a week, 76 hours in all. Its hours are the same every day, except on Saturday and Sunday. On those days, it is open 2 hours longer. How long is Sam’s Soups open on Sunday? Use an equation to solve.
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A bus travels at a constant speed from point A to point B, which are 600 km apart. Some time later, a motorcyclist begins the trip from A to B, traveling at 100 km/h. The motorcyclist overtakes the bus at 150 km from A, and continues on to point B. The motorcyclist arrives at B, rests for 1 hour, and begins the return trip to A, crossing paths with the bus. When the bus arrives at B, the motorcyclist is 200 km from B. How far from B did the motorcycle and bus meet the second time?
Answers
Step-by-step explanation:
the motorcyclist starts x hours after the bus.
it takes the motorcyclist 1.5 hours to meet the bus the first time, 6 hours to reach B, rest 1 hour and go another 2 hours before the bus arrives at B.
so, the bus needs
x + 9 hours to reach B.
x + 1.5 hours for 150 km (for the first meeting with the motorcyclist).
the speed of the bus is 600/(x + 9) km/h or 150/(x + 1.5) km/h.
so,
600/(x + 9) = 150/(x + 1.5)
4/(x + 9) = 1/(x + 1.5)
4(x + 1.5)/(x + 9) = 1
4(x + 1.5) = x + 9
4x + 6 = x + 9
3x + 6 = 9
3x = 3
x = 1
the motorcyclist starts 1 hour after the bus.
the speed of the bus is
600/(x + 9) = 600/(1 + 9) = 600/10 = 60 km/h
when the motorcyclist is starting its return trip, he is 7 hours after his start, and the bus is 7+x = 7+1 = 8 hours after its start, that means at
8×60 = 480 km of its total trip of 600 km.
120 km are still left for the bus to go.
from that point on both travel the same time y going with their speeds until they meet the second time.
the motorcyclist travels 100y km building up distance from B, while the bus travels 60y km reducing the 120 km distance from B.
when they meet the second time, the distance from B for the motorcyclist is the same as the remaining distance for the bus.
so,
100y = 120 - 60y
160y = 120
y = 120/160 = 3/4 = 0.75 hours
so, they meet at
100 × 0.75 = 75 km from B.
I need help with my math questions!I added an attachment.
Answers
Answer:
Answers below
Step-by-step explanation:
B. is [tex]1 \frac{2}{5} *3=4 \frac{1}{5}[/tex]
C. 75 -:- 2[tex]\frac{1}{5}= 30[/tex]
D. 27-:-6=4.5(or 4 and 1/2)
Prentice Hall Mathematics Course 1 Chapter 2 page. 77
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a. COOKING Q: The largest pan of lasagna weighed 3477 pounds. The length of the pan was ten times its width. Write an algebraic expression for the length of the pan of lasagna in terms of its width W.
b. The lasagna measured 7 feet wide. Evaluate the expression to find the length of the pan of lasagna
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Please answer this question quick!!
Answers
Answer:
sorry I have no clue I don't like mathe either the half of the reason I can't answer it
The expression of length in terms of width is L = 10W and the length of the pan when the width is 7 feet will be 70 feet.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
Suppose, the length and width of the pan are L and W corresponding.
As per the given,
(a)
The length of the pan was ten times its width.
L = 10W
The above expression is the length of the pan in terms of width.
(b)
The lasagna measured 7 feet wide.
L = 10 x 7 = 70 feet
Hence "According to the formula L = 10W, the length of the pan will be 70 feet when the width is 7 feet.".
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Write the expression:
subtract 10 from r, then double the result
Answers
Answer: (q + 10) - r
Step-by-step explanation:
2(r-10)
Put an Actual reasonable answer for the question please.
Answers
Answer:
D (Alicia did 5 more jumping jacks per minute than Melissa.)
Step-by-step explanation:
Alicia's rate is 30 jumping jacks per minute. You can use the formula m=(y2-y1)/(x2-x1) to find the slope/rate. The two points in the table you can use are (1,30) and (2,60). You can plug those coordinates into the slope formula. (60-30)/(2-1)=30/1= 30 jumping jacks per minute. To find the rate of change/slope for Melissa, you can use the same formula m=(y2-y1)/(x2-x1). The two points you could plug in are (0,0), and (4,100). (100-0)/(4-0)=100/4=25. Melissa does 25 jumping jacks per minute.
Sam’s Soups is open 6 days a week, 76 hours in all. Its hours are the same every day, except on Saturday and Sunday. On those days, it is open 2 hours longer. How long is Sam’s Soups open on Sunday? Use an equation to solve.
Answers
Answer:
Step-by-step explanation: try 14
Geometry
Answer with a proper explanation
Answers
Answer:
15 sides
Step-by-step explanation:
As we know the full angles of a polygon is 360°
And
Each side has angle 24°
So,
n = 360/24
n = 15 sides
I hope my answer helps you.
The polygon has 5 sides.
Step-by-step explanation:
Given in the diagram, the angle between the ends of each side is given i.e. 24degrees between ends of a side from the centre. Or it can also be said that each side of the polygon subtends an angle at the centre 'O' i.e. each 24*.
=> We know that sum of angles around a point = 360*, so sum of angles around centre = 360*
And 24* in the centre subtends a side of the polygon;
Using the logic - no. of sides = 360*/24* = 15 = 15 sides
Help again plessssssssss
Answers
Answer:
Step-by-step explanation:
20 + 30 + 30 then 792 + 260 get your answer for both and add the answers together
Answer:
Step-by-step explanation:
the answer is 23.4 ?
Answer fast please thank you?
Answers
Answer:
its 4-6
Step-by-step explanation:
Divide. Express each answer as a decimal. In the space below, be sure to label your answers a, b, c, d.
a. 54
b. 45
c. 3012
d. 1230
Answers
Answer: this might be wrong
c
Step-by-step explanation:
Sorry if this is wrong
Answer: c
Step-by-step explanation:
Consider the numbers 13, 16, 27, and 41. a. Which of these numbers are a prime? How do you know? b. Which of these numbers are composite. How do you know? (NEED AN ANSWER ASAP!)
Answers
The composite numbers are 16 and 27 because 16 has more than two factors and 27 has also has more than two factors. Hope this helps have a good day!
Is the relationship between the distance traveled and the time shown in the graph proportional?
Answers
Answer:
NO
Step-by-step explanation:
it's starts at the origin but is not a straight line.
Geometry
Answer with a proper explanation
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Answer:
We know that nonagon have total of 1 260 angles.
1 260 = 8x + 4x
1 260 = 12x
x = 105
Therefore, the value of x is 105.
8 angles have 105 degrees and the other one is 420.
Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-please help me to answer this (has to do with least common factors and stuff like that)
Answers
Answer:
Large gear: 2 revolutions, 24 teeth
Small gear: 3 revolutions, 24 teeth
Step-by-step explanation:
You want the number of teeth that have touched when a 12-tooth gear and an 8-tooth gear turn until they have the same relative position as when they started.
Least common multipleThe least common multiple (LCM) of 8 and 12 is the smallest integer that is a positive integer multiple of both these numbers. That value is ...
24 = 8·3 = 12·2
It is often found quickly by making use of your knowledge of multiplication tables.
How to find itThe LCM can be found by looking at the unique factors of the numbers, taking each to the highest of the powers:
8 = 2³
12 = 2² × 3
Among the factors 2 and 3, the highest powers are 2³ and 3¹, so ...
2³ × 3¹ = 24
is the LCM.
The LCM is also the product of the numbers, divided by their greatest common factor (GCF):
LCM(8, 12) = 8·12/4 = 24
__
Additional comment
The problem statement is telling you to look for the same number in the two right columns of the table. That number is 24. It goes in the blanks at the bottom.
(part 2 of my request, check my profile questions to see more thx! <3)
Answers
Answer:
Time +1, Temp +2
Students +5, Magazines +50
Trees +5, Apples +100
Jess lists four factor pairs of 72 and as 2 x 36, 4 x 18, 6 x 12 and 8 x 9. Which factor is a prime number? ( I NEED AN ANSWER ASAP!)
Answers
`d=3t` represents the relationship between the distance `\left(d\right)`in inches that a snail is from a certain rock and the time `(t)` in minutes.
a. What does the number `3` represent? b. How many minutes does it take the snail to get `9` inches from the rock c. How far will the snail be from the rock after `9` minutes?
Answers
Answer:a.3 is the coefficient
b.3minutes
c.27inches
Step-by-step explanation:
a. In d=3t equation, d and t are variables. 3 is the coefficient for 't'.
b. In d=3t , d is 9inches.
so 9 = 3t
or t = 9/3 =3minutes
c. In d= 3t, t is 9minutes.
So d= 3*9 = 27inches.
Answer: b.3minutes c.27inches
Step-by-step explanation:
Solve the equation. What is X?
6 ( x − 2 ) = −18
(It is NOT -5, 5, -6, 6 I kept on getting that as the answer)
Answers
[tex]6(x-2)=-18[/tex]
Distribute:
[tex](6)(x)+(6)(-2)=-18[/tex]
[tex]6x-12=-18[/tex]
Add 12 to both sides:
[tex]6x-12+12=-18+12[/tex]
[tex]6x=-6[/tex]
Divide both sides by 6:
[tex]\dfrac{6x}{6} =\dfrac{-6}{6}[/tex]
[tex]\fbox{x = -1}[/tex]
What is the slope of the graph?
Answers
Answer:2/3
Step-by-step explanation: the line is at the same distance at (-2,-10) as it is at (4,-6)
so from (-2,-10) to (4,-6) is 2 up and 3 over
meaning 2/3 = slope
pleace is math of 8th
Answers
Answer:
x = 8
Step-by-step explanation:
1/2 x - 2x = -5 -7
(1-4)/2 x = -12
-3/2 x = -12
3/2 x = 12
x = 12 · 2/3
x = 4 · 2
x = 8
Please help 15 points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
100
35/42 is about 83 percent 83 percent of 120 is roughly 100
The answer is 100 females
Heloo need help on mathe ples
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Answer:
add all the sides
Step-by-step explanation:
the first shape's area is 3.8 x 4 = 15.2
the second is 13.05 x 3.6 = 46.98
since originally it's one shape, add them together. the area is 62.18 ft^2.
4/5% of 30: Estimate
Answers
Answer:0.24
Step-by-step explanation:
Answer:
0.24
Step-by-step explanation:
⅘% of 30
⅘ = 0.8
0.8% of 30
eg: 0.8 = x 30 = y
[tex]\frac{x*y}{100}[/tex] (this is the formula for calculating the percentage of a number)
[tex]\frac{0.8*30}{100}[/tex] = 0.24
1. A straight fence is constructed from posts 6 inches wide and separated by lengths of chain 5 feet long. A certain fence begins and ends with a post. If there are 7 posts, what is the total length of the fence?
Answers
Answer:
72
Step-by-step explanation:
First, we will multiply the number of posts (7) by the posts' width (6) to get 42.
Since there is a chain between each post, there are 6 chains.
Multiplying the number of chains (6) by the chains' length (5), we get 30.
The question asks us to find the total length of the fence, so we add 42 and 30 and get 72.
Hope this helps!