1.What is the surface area of the prism? (1 point)
283.8 m²
292.4 m2
325.4 m²
407 m²
2. What is the lateral surface area of the prism? (1 point)
283.8 m²
292.4 m2
325.4 m²
407 m²
Answers
Answer:
The surface area is [tex]325.4m^2[/tex]
The lateral surface area is: [tex]292.4m^2[/tex]
Step-by-step explanation:
Given
[tex]L = 3m[/tex] -- Length
[tex]H =17.2m[/tex] --- Height
[tex]W = 5.5m[/tex] --- Width
See attachment for prism
Solving (a): The surface area
This is calculated as:
[tex]S.A = 2 * (LW + WH + LH)[/tex]
This gives:
[tex]S.A = 2 * (3*17.2 + 17.2 * 5.5 + 3 * 5.5)[/tex]
[tex]S.A = 2 * (51.6 + 94.6 + 16.5)[/tex]
[tex]S.A = 2 * 162.7[/tex]
[tex]S.A = 325.4m^2[/tex]
Solving (b): The lateral surface area
This is calculated as:
[tex]L = 2 * (L + W) * H[/tex]
So, we have:
[tex]L = 2 * (3 +5.5) * 17.2[/tex]
[tex]L = 2 * 8.5 * 17.2[/tex]
[tex]L = 292.4m^2[/tex]
Related Questions
What is the midpoint of the line with endpoints (3,-2) and (-3,6)
Answers
(0, 2)
Step-by-step explanation:
The coordinates of the midpoint of a line segment is given by
[(x2 + x1)/2 , (y2 + y1)/2]
Let P1 = (3, -2) and P2 = (-3, 6)
x-coordinate:
(1/2)(x2 + x1) = (1/2)[(-3) + 3] = 0
y-coordinate:
(1/2)(y2 + y1) = (1/2)[6 + (-2)] = 2
Therefore, the coordinates of the midpoint whose endpoints are (3, -2) and (-3, 6) are
(0, 2)
A roll of tissue paper towels has the given dimensions. Determine, to the nearest hundred, the volume of the roll
Answers
*see attachement for the diagram of the tissue paper
Answer:
Volume of the roll = 3,817.04 cm³
Step-by-step explanation:
The diagram of the roll of the tissue paper given is a model of two cylinders:
✔️Bigger cylinder with diameter (d) of 14 cm and height of 27 cm
✔️ Smaller/inner cylinder with diameter (d) of 4 cm and height of 27 cm
Thus:
The Volume of the roll = volume of bigger cylinder - volume of smaller cylinder
✔️Volume of bigger cylinder = πr²h
r = ½(14) = 7 cm
h = 27 cm
Volume of bigger cylinder = π*7²*27
= 4156.33 cm³
✔️Volume of smaller/inner cylinder = πr²h
r = ½(4) = 2 cm
h = 27 cm
Volume of smaller/inner cylinder = π*2²*27
= 339.29 cm³
✅The Volume of the roll = 4156.33 - 339.29 = 3,817.04 cm³
I WILL MARK BRAINLIEST
DO NOT GUESS OR ATTACH FILE OR I WILL REPORT
Mara spins this spinner and rolls one six-sided die. What is the probability of spinning a 3 and rolling a 3 on the die?
(Photo above) Pls help
Answers
Answer:
2/12 if the spinner has 6 chooses. I think sorry if I'm wrong
Step-by-step explanation:
In order to set rates, an insurance company is trying to estimate the number of sick days that full time workers at an auto repair shop take per year. A previous study indicated that the population standard deviation is 2.8 days. How large a sample must be selected if the company wants to be 95% confident that the true mean differs from the sample mean by no more than 1 day?
A. 512
B. 1024
C. 141
D. 31
Answers
Answer:
D. 31
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
A previous study indicated that the population standard deviation is 2.8 days.
This means that [tex]\sigma = 2.8[/tex]
How large a sample must be selected if the company wants to be 95% confident that the true mean differs from the sample mean by no more than 1 day?
This is n for which M = 1. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]1 = 1.96\frac{2.8}{\sqrt{n}}[/tex]
[tex]\sqrt{n} = 1.96*2.8[/tex]
[tex](\sqrt{n})^2 = (1.96*2.8)^2[/tex]
[tex]n = 30.12[/tex]
Rounding up, at least 31 people are needed, and the correct answer is given by option D.
[2x(3+5)+6]x4 what is the value of this expression
Answers
Answer:
16x5+6x4
Step-by-step explanation:
(2x(3+5)+6)(x4)
=(2x(3+5)+6)(x4)
=(2x(3+5))(x4)+(6)(x4)
=16x5+6x4
Answer:
88
Step-by-step explanation:
to solve these kind of questions use BODMAS
help im giving brainliest to the person who helps me with both questions! :)
Answers
Answer:
1.)C
2.A
Step-by-step explanation:
Solve the following system of equations using an inverse matrix. You must also indicate the inverse matrix, A^{-1},A
−1, that was used to solve the system. You may optionally write the inverse matrix with a scalar coefficient.
−3x−2y=−8
−6x−5y=−7
A1=[ ? ] x= ? y=?
Answers
Answer:
x-intercept(s):
(
−
8
3
,
0
)
y-intercept(s):
(
0
,
−
4
)
Step-by-step explanation:
The x-intercepts are (83, 0), and the y-intercepts are (0, 4). Matrixes, like numbers, have reciprocals. In the world of matrices, this reciprocal is known as a "inverse matrix."
What is the inverse matrix?The concept of a matrix's inverse is a multidimensional generalization of the concept of a number's reciprocal: just as the product of a number and its inverse equals one, the product of an identity matrix and a square matrix equals one.
A A-1 = A-1 A = I because the identity matrix I is the inverse of a matrix. An invertible matrix is one that has a non-zero determinant and can have its inverse determined. Finding the inverse of a 2x3 matrix is impossible because it is not a square matrix.
Response: (8 3, 0) are the x-intercepts.
(0, 4 ) are the y-intercepts.
Therefore,
-3 x-2 y=-8
Add 2 y to both sides
-3 x-2 y+2 y = -8+2 y
Simplify
[tex]$$-3 x=-8+2 y$$[/tex]
Divide both sides by -3
[tex]$$\frac{-3 x}{-3}=-\frac{8}{-3}+\frac{2 y}{-3}$$[/tex]
Simplify
[tex]$$x=-\frac{-8+2 y}{3}$$[/tex]
Response: (8 3, 0) are the x-intercepts.
(0, 4 ) are the y-intercepts.
To learn more about inverse matrix refer to:
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Four times the difference of a number and 16.
Answers
Answer:
C
Step-by-step explanation:
MRK ME BRAINLIEST PLZZZZZZZZZZZ
A bag contains 56 marbles: 7 red, green, 11 yellow, 17 brown, and 13 blue.
If a marble is chosen at random, what is the probability that the marble is green?
Answers
Answer:
8/56
Step-by-step explanation:
Add up all other marble colors then find the difference from the total.
Answer:
1/7
Step-by-step explanation:
there are 8 green marbles out of 56 so the probability would be 8/56 which simpliefies to 1/7 or 14.285714%
223.6 x 0.0048 rough checks
Answers
Answer:
1.07328
Step-by-step explanation:
223.6 x 0.0048=1.07328
The two-way frequency table below shows the results taken from a survey of 500 randomly selected
adults aged 25 to 49. They were surveyed on their preference between two brands of pasta sauces. In
another survey of people aged 25-49, a total of 400 people preferred Sauce B. Based on the data
below, how many of those 400 people would be expected to be age 40-44?
Answers
Answer:242
Step-by-step explanation:
bc you have 25 to49 adults divide and subtracts & you get 242 , hope this helps !
83 people out of 400 people would be expected to be age 40-44.
What is probability?Probability is the likelihood that an event will occur and is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
As, 400 people choose sauce B.
In the given table there 302 people who choose sauce B, in which 63 people belongs to group 40-44
So, 63/302= x/400
302*x=63*400
x=83.
Hence, 83 people out of 400 belongs to group 40-44 who choose sauce B.
Learn more about probability here:
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What is 147% as a simplified fraction
Answers
147/100
= 1 47/100
100 is the percent out of
and 147 is the percent.
Answer:
147/100
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 147 and 100 is 1
Divide both the numerator and denominator by the GCD
147 ÷ 1
100 ÷ 1
Reduced fraction:
147/ 100
147/100 simplified to lowest terms is 147/100.
What is the area of the figure?
7 in
Bin.
in
16 m
Answers
Answer:
112
Step-by-step explanation:\
Formula for Area- A(AREA)=L(LENGTH) times W(WIDTH)
If we follow this and plug in the Numbers we get the equasion- A=7x16
And so we solve and get the answer 112
hope this helped have a great day :3 (brainliest pls i need one more )
If AC = 26, find BC.
Answers
Answer:
I think it's 20 or maybe 18 not sure.
Find the probability of getting heads 2 times in a row, then rolling a 6 sided die and getting
either a 1 or 6.
Answers
Answer:
1/12
Step-by-step explanation:
The probability of rolling a die and landing it on heads is 1/2 percent. Flipping the coin another time and landing it on heads is 1/4 percent because you need to multiply when doing probabilities, so 1/2 times 1/2 equals 1/4.
Now moving on, rolling a 6 sided die and getting either a 1 or 6 is 1/3 percent because 1 and 6 are two different numbers you can roll so it's 2/6, and when it's simplified, it's 1/3.
After doing that, to find the probability of the whole equation, you would need to multiply 1/4 times 1/3 which would give you 1/12 as your answer.
17521 rounded to the significant figure
Answers
Help !!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
only one of the side is a 4 so the answer is 6/6 -1/6=5/6
The Sine Function
The phrases of the Moon are periodic and repetitive. A new Moon occurs when no Moon is visible to an observer on Earth. During the first quarter, half of the side of the Moon facing the Earth is visible. During a full Moon the entire side of the Moon is Visible. During the last quarter the other half of the side of the Moon facing Earth is visible.
The U.S. Naval Observatory lists the following dates for phases of the Moon in the year 2008.
Using the information above, plot the data points. Does this data indicate that a sine regression may be appropriate in this case? Explain.
a. Yes, it shows repeated and periodic behavior.
b. Yes, it shows a curve increasing from left to right.
c. No, the points are random.
d. No, the points depict a parabola.
Please select the best answer from the choices provided
Answers
Answer:
A. Yes, it show repeated and periodic behavior.
Step-by-step explanation:
I calculated it logically
2. The perimeter of a rectangular board is 24 cm. If its length is 9 cm and its width is one
third of its length, what is its width?
please answer this i follow and like and rate
Answers
I NEED HELPPPPPPPP!!!!!!!!!!
Answers
Answer:
the second one is the largest
Step-by-step explanation:
Single Factor ANOVA is a method we use when we want to compare a quantitative variable among more than two categories.
a. True
b. False
Answers
Answer:
The given statement is "True".
Step-by-step explanation:
A statistical analytical technique that divides the perceived aggregate unpredictability present throughout an information source even further into 2 components.
Systemic components Random componentsIf relevant information yet another category independent variable, as well as another quantifiable variable of interest, has been obtained, are using a single-way ANOVA.
Thus the above is the true answer.
Which of the following angles is NOT congruent to 6?
3
2
7
1
Answers
Answer:
1
Step-by-step explanation:
We can see that 7 is equal to 6, as opposite angles are the same.
We can also see that 2 is also 6, as corresponding angles are equivalent.
Therefore, 3 is also congruent to 6, as it is equal to 2.
Hope that this helps!
Tala drives 8 miles to work each day. how many miles does she drive to work in 83 days?
Answers
Answer: 664
Step-by-step explanation:
Take the amount of days, and multiply it by the miles per day
so
8 x 83 = 664 miles
Hope this helps!! (^_^)
Do you think this fish is a gram or kilogram ??
Answers
HELP HELP HELP PLEASSSEEEE I NEED THE FULL EQUATION!! I WILL GIVE BRAINLY
Answers
Answer:
y=11/5x+1
Step-by-step explanation:
I am probably wrong :/
Answer:
y= -2/5x+1
Step-by-step explanation:
The slope of the line is -2/5 and the y intercept is 1.
A student drops a penny of a house that is 16 feet tall if the equation of height as a function is h(t)= -16t2 + initial height where t is time in seconds and h(t) is height in feet, how many seconds will it take for the penny to hit the ground
Answers
Answer:
Step-by-step explanation:
the correct answer is 1 second
The time it will take for the penny to hit the ground is 1 second.
What is a linear equation?A linear equation has one or two variables.No variable in a linear equation is raised to a power greater than 1.No variable is used as the denominator of a fraction. A linear equation is defined as an equation that is written in the form of ax+by=c. When solving the system of linear equations, we will get the values of the variable, which is called the solution of a linear equation.
solving this we will get the valve of Y if x is given.
Calculation:-
Given initial feight= 16 feet
h(t)= -16t2 + initial height
for 1 second
⇒ h(1)= -16(1)2 +16
⇒ h = -32 +16
⇒ h = -16 ( 16 feet downward i.e penny will tough the ground)
Learn more about linear equations here:-https://brainly.com/question/14323743
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evaluate -3x³-4x for x=-1
Answers
Answer:
7
Step-by-step explanation:
Sub -1 in for each x:
-3x³-4x
-3(-1)³-4(-1)
-3(-1)+4
3+4
7
What is the solution to the equation below round your answer to two decimal decimal places log4 x=2.1
A. x=8.40
B. x=18.38
C. x=8.17
D. x=19.45
Answers
Answer:
B
Step-by-step explanation:
log4x = 2.1
logx/log4 = 2.1
logx = log(4) x 2.1
logx = 1.264
x = 10^(1.264)
x = 18.38 (to two d.p)
Explain how your process for solving life’s problems is similar or different from solving math problems.
Answers
Answer:
in life problem I solve in my head and not on paper. I enter life's problems calmly and carefully know I can solve them but in math I erase and cry and almost tear my paper apart. someone else can solve your math problem but not your life problem.
what is a name for the angle below do not include
Answers
Answer:
see below
Step-by-step explanation:
There are several ways to name the angle
They all must include the vertex
ABC
CBA
B
Answer:
abc
Step-by-step explanation: