Answers
The surface area of the prism is 108 m².
What is Surface Area?The area of a three dimensional object on it's outer surface is called the surface area of the object.
Given is the figure of a triangular prism.
Triangular prism consists of two triangular bases and three rectangular lateral faces.
Triangular base is right triangle.
Surface area of prism = area of bases + area of lateral faces
Area of a triangular base = [tex]\frac{1}{2}[/tex] × base × height
= [tex]\frac{1}{2}[/tex] × 4 × 3
= 6 m²
Area of two triangular bases = 2 × 6 = 12 m²
Area of a rectangle = length × width
Area of rectangular faces = (8 × 5) + (8 × 4) + (8 × 3)
= 40 + 32 + 24
= 96 m²
Total surface area = 12 m² + 96 m² = 108 m²
Hence the total surface area of the prism is 108 m².
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Related Questions
someone help me please:)
Answers
9514 1404 393
Answer:
(12, 4)
Step-by-step explanation:
The point (12, 4) is the only one in the doubly-shaded area of the graph. Of the choices offered, it is the only one that is a solution.
__
I prefer to use a graphing calculator to draw the graph and plot the points. That is more interesting to me than evaluating the inequalities over and over.
Here, we find the first inequality is only satisfied by the first point. We can rewrite it so we're not messing with fractions.
y ≥ -5/6x +2
6y ≥ -5x +12 . . . . multiply by 6
5x +6y ≥ 12 . . . . . add 5x
Now, to check the points:
(12, 4) -- 5(12) +6(4) ≥ 12 . . . true
(0, -2) -- 5(0) +6(-2) ≥ 12 . . . not true
(6, -7) -- 5(6) +6(-7) ≥ 12 . . . not true
(-12, 7) -- 5(-12) +6(7) ≥ 12 . . . not true
Just to make sure, we can use the first point in the second inequality:
(12, 4) -- 4 ≤ 5(12) -1 . . . true
The point (12, 4) would be a solution to the two inequalities.
Sorry about asking this question again
Answers
Answer:
1. 6 2. 5 3. 4 4. 3 5. 2
Step-by-step explanation:
The sum of 1 2 and 1 5 is between 1 2 and 1. YES OR NO?
Answers
Answer:
No
Step-by-step explanation:
because the sum 12+15= 27
and 27 not come between 12 & 1
which of the following systems of linear equations has no solution?
Answers
Answer:
C?
Step-by-step explanation:
Because there is no x I think.
Can I get help with this???
Answers
Answer:
168
[tex]3 \times 4 \times 10 + 3 \times 4 \times 4[/tex]
round 36.439 to the nearest 10
Answers
Answer:40
Step-by-step explanation:
Answer:
36.4 is the answer36.4 is the answerStep-by-step explanation:36.4 is the answerStep-by-step explanation:Hope this is helpfullhelp plzzzzzz!!!!!!!
Answers
Crazy fact: Wanna know something about M&M's the candy
you could do damage to your dental health. You'll also increase your chances of developing chronic conditions like diabetes or hypertension
Answers
Answer:
well m&m are not even that good any way
If Mary inspects every sixth calculator and Nancy inspects every fifth calculator, which calculator will be the first that they both inspect
Answers
Answer:
30th calculator
Step-by-step explanation:
The least common multiple of 6 calculators and 5 calculators is the calculator they both inspect
LCM of 6 and 5 = 30
30th calculator
If the short diagonal of a quadrilateral bisects the long diagonal, then the quadrilateral is a kite.
A. Always
B. Sometimes
C. Never
Answers
Question 2
Take a screenshot of the quadrilateral with its slopes labeled, and paste it below. Based on the slopes, which type of quadrilateral is it? Explain
your answer
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USO 10:01
Answers
edmentum answer and yea you're welcome
It should be noted that the quadrilateral is a trapezoid.
What's a trapezoid?A trapezoid is a quadrilateral with at least one pair of parallel sides. In a trapezoid, the parallel sides are called the bases, and the non-parallel sides are called the legs. The distance between the bases is known as the height or altitude of the trapezoid.
A trapezoid has two bases, which are parallel to each other. These bases can have different lengths or the same length, depending on the type of trapezoid.
The legs of a trapezoid are the non-parallel sides. They connect the bases and can have different lengths.
A trapezoid has four angles. The angles formed by the bases and legs are called the base angles, while the angles formed by the legs and non-adjacent side are called the diagonal angles.
Learn more about trapezoid
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Find the product. Simplify, if needed. 3/8×5/6
Answers
Answer:
[tex]\frac{5}{16}[/tex]
Step-by-step explanation:
When multiplying fractions, we can multiply them straight across.
[tex]\frac{3}{8}[/tex]×[tex]\frac{5}{6}[/tex]
[tex]\frac{15}{48}[/tex]
15 and 48 have a common factor, which is 3, so we can divide the numerator and denominator by 3 to simplify.
[tex]\frac{5}{16}[/tex]
Derek has 2 feet of Tasty Cherry Rope. He plans on splitting it evenly between himself and 5 of his friends. How many inches should eat person get?
Answers
Answer:
4 inches
Step-by-step explanation:
There are six people total (derek+5 friends)
2 feet = 24 inches
24 inches divided by the 6 people = 4 inches per person
Fourteen percent of the town’s population are above the age of 65. If there are about
320 residents over the age of 65, then what is the town’s population?
Answers
Answer: 2285
Step-by-step explanation:
320 ÷ 14% = 2285
Explain how to use models to divide 2.1 by 0.7
Answers
Answer:
The answer is 3
Step-by-step explanation:
0.7*3 = 2.1
Think of it this way
its basically 7 times what equals 21?
then you find out 7 timex 3 = 21
and then put the decimals
0.7 times 3 (0.7 + 0.7 + 0.7) = 2.1
Find there area of the composite figure below
Answers
Find the perimeter and area of the figure.
4
4
8
6
12
perimeter - 60 units
area - 116 units
perimeter - 54 units
area - 112 units?
perimeter - 48 units
area - 116 units?
perimeter - 116 units
area - 60 units?
Answers
Answer:
Perimeter: 60
Area: 116
Tickets for a school jazz concert were sold before the concert and at the door. After reviewing ticket sales, the band director found that 80 fewer tickets were purchased at the door than before the concert. A total of 520 tickets were sold. Let d represent the number of tickets sold at the door and b represent the number of tickets sold before the concert. Latifa wrote the following system of linear equations to find the number of each type of ticket sold:
d + b = 520. d minus 80 = b.
What is Latifa’s error?
Latifa should have written the first equation as d minus b = 520.
Latifa should have written the second equation as d + b = 80.
Latifa should have written the first equation as b + 80 = 520.
Latifa should have written the second equation as d + 80 = b.
Answers
Answer:
D
Step-by-step explanation:
Find the missing side. If necessary,
round to the nearest hundredth.
c = [?]
a = 5
b = 8
Answers
Answer:
can u tell of which shape these sides are ??
Tell whether the angles are adjacent or vertical then find the value of x
Answers
Please help! It’s worth 30 points!
Answers
Answer:
Step-by-step explanation:
Answer:
0.430
Step-by-step explanation:
thank you so much i really appreciate
for what value of x is the equation below true?
x2+4x +5=0
Answers
Hi there!
[tex]\large\boxed{\text{None.}}[/tex]
Using the discriminant formula, we can determine if this equation is ever true:
b² - 4ac
Plug in the a, b, and c values from the equation:
(4)² - 4(1)(5)
16 - 20 = -4 < 0
Since the discriminant is less than 0, there are no zeros to the equation. Thus, the equation is never true.
The common factor with 15v^3 and 12v^2
Answers
Answer:
[tex]3v^{2}[/tex]
A pharmaceutical company is developing a new oral medication for the treatment of psoriasis, a skin disease marked by red, itchy, scaly, patches. Describe how you could design a controlled experiment to test the effect of the medication. How could you keep participants from knowing whether or not they were in the treatment group?
Answers
Let's say we had a sample of 100 people. We'll split them into two equal groups of 50 each. The two groups will be the treatment and control groups. The treatment group, aka experimental group, is where the actual drug is given. The control group is where the fake drug is given. People in the control group must not know the pill is fake. For more info, check out the placebo effect. In short, this is when a person takes a fake pill and thinks they get better, and that positive mentality helps them actually get better.
If both the treatment and control groups improve (on average) together, then that means the fake pill is just as good as the real thing. Consequently, it means the real pill isn't effective at all. If on the other hand the experimental group does better overall compared to the control group, then we can see that the real pill is doing what it's intended to do. Of course, there are a lot of complicated factors involved, as there is with anything dealing with medicine. I haven't mentioned anything about side effects or things of that nature. In this simplified viewpoint of the world, we're only considering the one factor of whether or not the drug clears up the psoriasis on the skin.
To make things fair, it's best to randomly generate numbers so that you randomly assign people into each group. That way you have representative samples. Also, when drawing the sample of 100 people, make sure that's as random as possible to help represent the population as best as possible. The fact that the people in the control group not knowing that they are taking the fake pill means we have a single blind experiment. A double blind experiment is when even the researchers are not sure who is taking the real pill vs the fake pill. Double blind experiments are encouraged to prevent the researcher's bias from affecting the results.
To keep participants from knowing whether or not they are in the control group, the common solution is to provide a sugar pill. The pill will not cause any side effects and will not cause any improvements to health. It's simply sugar. To the participant, it seems like the real thing since they can't taste the difference or detect anything seems different.
Answer:
Randomly select a sample of people with psoriasis. Randomly assign them to one of two groups. Give one group the treatment, and withhold it from the other group. Give both groups similar looking pills, so neither knows which group they are in.
round to the nearest hundredth 2.033
Answers
Answer:
2.03
Step-by-step explanation:
2.033
When you round to the nearest hundredth you look at the thousandths place and see if it is 5 or above. If it's 5 or above you round and change the hundredth place. ( 2.04 )
In this case it is lower than 5
So, it would be 2.03
Hope this helps dude
The round off the number 2.033 to nearest hundredth is 2.03.
What is Rounding off?Although the term "rounding" is a general one, we typically use the terms "round up" or "round down" to indicate whether the number has gone up or down after being rounded. When the rounded number is increased, then the given number is said to be rounded up, conversely, if the rounded number is dropped, then it is said to be rounded down.
We have to round off the number 2.033 to nearest hundredth.
When rounding to the nearest hundredth, check the thousandths place to see if it is 5 or higher.
If it's 5 or higher, you go around and change the hundredth place 2.04.
But here it is less than 5 which makes the round off 2.03.
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I really need help with this statistical/variable question, i am really struggling and would be super happy if someone could answerrr
Answers
Answer:
The 1st one is categorical
The 2nd one is categorical
The third one is quantitive
The fourth one is quantitve
The fifth one is quantitve
Step-by-step explanation:
A quantitative observation is something that is measurable.It represent data
E.x( How many cookies you ate last night)
A categorical observation is something based on your 5 senses that puts you into a specific category. (IT Doesnt have any mathematical phrases in it. It represent groups of a specific topic
E.x( what is your favorite color)
The 1st one is categorical The 2nd one is categorical The third one is quantitiveThe fourth one is quantitveThe fifth one is quantitvePlz help it’s due in 5 min...
Which table represents a direct proportion between the number of tickets sold and the total cost?
Answers
Answer:
The answer is D
Step-by-step explanation:
y=kx
9=k
Plug it in they are all true.
The table represents a direct proportion between the number of tickets sold and the total cost will be D.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
For the linear relationship, the slope will remain constant.
Let's check all the options, then we have
A. The slope is given as,
m = (2 - 0) / (1 - 0) = (4 - 2) / (3 - 1)
m = 2 ≠ 1
B. The slope is given as,
m = (4 - 0) / (2 - 0) = (6 - 4) / (4 - 2)
m = 2 ≠ 1
C. The slope is given as,
m = (7 - 5) / (2 - 1) = (9 - 7) / (3 - 2) = (11 - 9) / (4 - 3)
m = 2 = 2 = 2
The y-intercept is 3.
D. The slope is given as,
m = (18 - 9) / (2 - 1) = (27 - 18) / (3 - 2) = (36 - 27) / (4 - 3)
m = 9 = 9 = 9
The y-intercept is zero.
The table addresses an immediate extent between the number of tickets sold and the all-out cost will be D.
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I NEED HELP ASAP
FIND THE VAULE OF H IN THE FOLLOWING FIGURE
Answers
140°+h=180°
h=180°-140°
h=40°
:)))))))))))))))))
3a. Find the value of a.
Can you pls add work thank you for your time
Answers
Answer:
I think its 90°
Step-by-step explanation:
I dont know foe suee
Answer:
a = 98⁰
Step-by-step explanation:
According to the the triangle sum thereom, all angles in triangle add up to 180⁰.
m<a + m<b + m<c = 180⁰
m<a + 34⁰ + 48⁰ = 180⁰
m<a + 82⁰ = 180⁰
m<a + 82⁰ - 82⁰ = 180⁰ - 82⁰
m<a = 98⁰
Hope this helps, thank you :) !!
A company that manufacturers deep freezers has developed a new formula of refrigerant, the substance used to cause cooling in refrigerators and freezers. To determine if freezers using the new formula of refrigerant are more efficient than those using the company's original formula, they conducted an experiment with two identical freezers. The first freezer was cooled using the new formula, and the second freezer was cooled using the original formula. A gallon of water was placed in each freezer, and they measured the time required for the water to turn to ice. Match the terms with the correct descriptions in the context of this scenario.
Answers
The answer to your question is :
Explanatory variable <--------> The first freezer
Response variable <---> The time required for the water to turn into ice in each freezer
control group <------------------> The second freezer
An Explanatory variable in an experiment is the variable that has been changed/manipulated by the researcher for the purpose of the experiment/research it is an independent variable ( as seen in first freezer )
A Response variable is the outcome of an experiment that serves as an evidence of the effect of the explanatory variable. it is a dependent variable
The control group is the made up of the refrigerators whom are not cooled using the new formula of refrigerant ( i.e. the second freezer )
hence the explanatory variable is the first freezer, the response variable is the time required for the water to turn into ice in each freezer, while the control group is the second freezer.
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Answer:
Good luck to whoever figures out the last one.
Step-by-step explanation: