Find the lateral area and the surface area of the composite solid. Keep answer in exact form.
10 cm
12 cm
1
1
1
1
32 cm
10 cm
Lateral Area
Surface Area

Find The Lateral Area And The Surface Area Of The Composite Solid. Keep Answer In Exact Form.10 Cm12

Answers

Answer 1

Answer:

a) Lateral area of the solid = 2011.43 [tex]cm^{2}[/tex]

b) Surface area of the solid = 2544 [tex]cm^{2}[/tex]

Step-by-step explanation:

a) Lateral area of the figure = 2[tex]\pi[/tex]rh

where; r is the radius of the cylinder, and h is its height.

Lateral area of the figure = 2 x [tex]\frac{22}{7}[/tex] x 10 x 32

                                          = 2011.43 [tex]cm^{2}[/tex]

b) The surface area = 2[tex]\pi[/tex]r(r + h) - 2([tex]\frac{1}{2}[/tex] x b x h)

                                 = 2[tex]\pi[/tex]r(r + h) - (b x h)

The height of the isosceles triangle can be determined by applying the Pythagoras theorem to have,

[tex]10^{2}[/tex] = [tex]6^{2}[/tex] + [tex]h^{2}[/tex]

100 = 36 + [tex]h^{2}[/tex]

[tex]h^{2}[/tex] = 100 - 36

   = 64

h = [tex]\sqrt{64}[/tex]

  = 8

h = 8 cm

The surface area of the solid = 2 x [tex]\frac{22}{7}[/tex] x 10 (10 + 32) - 12 x 8

                                                = 2640 - 96

                                                = 2544

The surface area of the solid is 2544 [tex]cm^{2}[/tex].


Related Questions

3 less than the quotient of 18 and a number n

Answers

Answer:

(18÷n)-3

Step-by-step explanation:

The equation is above. There is no answer to the equation because we don't have a full equation to solve. Unless the question includes the answer to the equation, we can't fully solve it. But I believe that's the answer that you are looking for.

WILL


GIVE


BRAINLIST





...
.

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The answer is September

PLEASE HELPPP 7TH GRADE MATHHHH!! WILL GIVE BRAINLIEST!! NEED RN PLEASE

Driving down the highway in separate vehicles, two friends realized that there were mile markers along each side of the road. They counted ten green markers for every mile they traveled. They also counted 8 yellow markers for each green marker. They text to each other their observations and wondered who was driving faster. Dev said he saw 110 green markers in 20 minutes. Mike said she saw 88 yellow markers in 2 minutes. Based on their observations, who is traveling faster?

Answers

Answer:

Mike

Step-by-step explanation:

Mike is the traveling faster.

Question 3 of 11 Lucy asked 5 friends how many books they each read last month. She put her data in a table and found the total books read. Friend Ben Ann Dan Ellie Caty Total Number of books 0 0 3 3 10 Find the mean and the median of the data set. Determine which of these values is greater. A. The median, 3, is greater than the mean, 2. B. The median, 4, is greater than the mean, 0. . C. The mean, 3. is greater than the median, 2 D. The mean, 4, is greater than the median, 3.​

Answers

Step-by-step explanation:

mean = 0 + 0 + 3 + 3 + 10 ÷ 5

= 16 ÷ 5

= 3.2

median = 3

The price of a ticket to attend a show is $28.50. In addition to the ticket price, Laurence had to pay a service fee of 10% and a sales tax
of 6%. The service fee and sales tax are each applied to the original price of the ticket
How much did Laurence pay in total?
Enter your answer in the box.

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Answer:

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Step-by-step explanation:

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the answer would be around 60

What is the value of [ 3 × ( 8 − 2 ) ] + 5 ?

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23 should be correct

HOW DO YOU SOLVE IT PLEASE 20/3 = 10/9 x

Answers

Answer:

!! , ' !!!

Step-by-step explanation:

ꜰɪʀꜱᴛ! ᴄᴏᴍʙɪɴᴇ ᴍᴜʟᴛɪᴘʟɪᴇᴅ ᴛᴇʀᴍꜱ ɪɴᴛᴏ ᴀ ꜱɪɴɢʟᴇ ꜰʀᴀᴄᴛɪᴏɴ:

        / = /

   / = /                 ᴊᴜꜱᴛ ʟɪᴋᴇ ᴛʜᴀᴛ!

ꜱᴇᴄᴏɴᴅ! ᴍᴜʟᴛɪᴘʟʏ ᴀʟʟ ᴛᴇʀᴍꜱ ʙʏ ᴛʜᴇ ꜱᴀᴍᴇ ᴠᴀʟᴜᴇ ᴛᴏ ᴇʟɪᴍɪɴᴀᴛᴇ ꜰʀᴀᴄᴛɪᴏɴ ᴅᴇɴᴏᴍɪɴᴀᴛᴏʀꜱ!! ᴇᴀꜱʏ ᴘᴇᴀꜱʏ:

                    / = /

                  9⋅/= 9⋅/     ꜱᴇᴇ ᴇᴀꜱʏ ᴘᴇᴀꜱʏ!!

! :

          9⋅/=!!!

                                   ᴀʟᴍᴏꜱᴛ ᴅᴏɴᴇ!!

ꜰᴏᴜʀᴛʜʟʏ!! ᴍᴜʟᴛɪᴘʟʏ ᴛʜᴇ ɴᴜᴍʙᴇʀꜱ (ᴊᴜꜱᴛ ᴛʜᴀᴛ ꜱɪᴍᴘʟᴇ!):

                9⋅/  

           ˜”*°•.˜”*°• Which Would equal 60=10x!! •°*”˜.•°*”˜

ꜰɪꜰᴛʜ!! ᴅɪᴠɪᴅᴇ ʙᴏᴛʜ ꜱɪᴅᴇꜱ ᴏꜰ ᴛʜᴇ ᴇQᴜᴀᴛɪᴏɴ ʙʏ ᴛʜᴇ ꜱᴀᴍᴇ ᴛᴇʀᴍ:

               60/10 = 10x/10

ʟᴀꜱᴛʟʏ!!! ꜱɪᴍᴘʟɪꜰʏʏ:

         =6

ᴛʜᴇɴ ʏᴏᴜ ɢᴇᴛ ʏᴏᴜʀ ᴀɴꜱᴡᴇʀʀ!!

              x=6  ʕ ˵• ₒ •˵ ʔ  

ᴀɴʏᴡᴀʏꜱ ᴛᴏᴏᴅʟᴇꜱ!!

    ʜᴀᴠᴇ ᴀɴ ᴀᴍᴀᴢɪɴɢ ɴɪɢʜᴛ ᴏʀ ᴅᴀʏ!

ꜰʀᴏᴍ ʏᴏᴜʀ ᴏɴᴇ ᴀɴᴅ ᴏɴʟʏ ᴘɪɴᴋʏ  ʕ ゚ ● ゚ʔ

The ordered pairs (12, 32). (x, 40), (18,48), (21, y) represent a proportional
relationship. Find the values of x and y. Select the two correct answers.

Answers

Answer:

x= 17

y=62

Step-by-step explanation:

simplify 0.75 : 2 5/16​

Answers

To start this is a ratio, and the goal is to get at least 1 to be a whole number so first lets get the number below 1 to 1.

0.75 : 2 5/16 ---> (x1.3333 on both sides) ---> 1 : 3 1/12.

Next, if needed for your answer, lets get the other number to be a whole number as well. We can do this my multiplying both sides by 12 since the fraction on 3 1/12 is 1/12.

1 : 3 1/12 --> (x12 on both sides) ---> 12 : 37

Your final answer will either be 1 : 3 1/12 or 12 : 37, depending on the formatting expected for your homework assignment.

I am doing this fr a meme so whoever responds is cool and I will mark brailiest

Answers

Answer:

Step-by-step explanation:

yesssss

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Answers

When I put the right answer it says wrong

Which type of function is shown in the table below ?
X Y
0 1
1 4
2 16
3 64

Answers

Answer:

The answer is linear.

Step-by-step explanation:

The x int is being added by 1 while the y int is subtracting 1

Plz help me well mark brainliest if you are correct!!...

Answers

Answer:

2/B

Step-by-step explanation:

The base is 9 and the height is 4.

Which rule defines Sn for a Subscript n Baseline = 5 (three-fourths) Superscript n? S Subscript n Baseline = 15 (three-fourths) Superscript n S Subscript n Baseline = 5 (three-fourths) Superscript n S Subscript n Baseline = 15 (1 minus (three-fourths) Superscript n) S Subscript n Baseline = 5 (1 minus (three-fourths) Superscript n)

ANSWER: C

Answers

Answer:

C

Step-by-step explanation:

Answering your question so it will not get removed.

The correct option for the question is C.  [tex]S_{n}[/tex] = 15 [ 1 - [tex](3/4)^{n}[/tex] ]

What is a Geometric progression?

If in a sequence of terms, each succeeding term is generated by multiplying each preceding term with a constant value, then the series is referred to as a geometric progression. (GP), while the constant value is called the common ratio.

Conclusion: The nth term from the end of the GP with the last term l and common ratio r = l/ [r(n – 1)]. The sum of infinite, i.e. the sum of a GP with infinite terms is S∞= a/(1 – r) such that 0 < r < 1.

[tex]a_{n}[/tex] = 5[tex](3/4)^{n}[/tex]

[tex]S_{n}[/tex]= Σ[tex]a_{n}[/tex]

[tex]S_{n}[/tex] = ∑5[tex](3/4)^{n}[/tex]

  = 5∑[tex](3/4)^{n}[/tex]

 

  = 5 [ 3/4 + [tex](3/4)^{2}[/tex] + ......+ [tex](3/4)^{n}[/tex]]

 =5 [ 3/4 * { 1- [tex](3/4)^{n}[/tex]} / 1 - 3/4 ]

[tex]S_{n}[/tex] = 15 [ 1 - [tex](3/4)^{n}[/tex] ]

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3. 8.F.1.3
Which of the following equations represents
a linear function?
A. y = 3x2
B. y = 2-
C. y = 4x+6
D. y = -x + 3

Answers

The answe would be D hope this helps

Find the degree of the polynomial 7x⁴– 25x + 3x⁷​

Answers

Answer:

The degree of the polynomial is equal to 7.

Step-by-step explanation:

The given polynomial is :

7x⁴– 25x + 3x⁷​

We need to find the degree of the polynomial.

We know that,

Degree of the polynomial = The highest sum of exponents for anyone monomial.

In this case, the powers of x are 4,1 and 7.

Out of these three, the exponent of x is 7 which is highest.

Hence, the degree of the polynomial is equal to 7.

Ryan has homework in six subjects. He is deciding what order to complete them in

Answers

More words of the problem

Researchers wish to examine the effectiveness of a new weight-loss pill. A total of 200 obese adults are randomly assigned to one of four conditions: weight-loss pill alone, weight-loss pill with a low-fat diet, placebo pill alone, or placebo pill with a low-fat diet. The weight loss after six months of treatment is recorded in pounds for each subject. To analyze this data, you would use __________.
a. a z-test
b. a t-test
c. an ANOVA F test
d. a Chi-square test

Answers

Answer:b

Step-by-step explanation:

To analyze this data, you would use An ANOVA F test.

What is a normal distribution?

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range, while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the center

The study involves comparing the weight loss of four groups of participants (weight-loss pill alone, weight-loss pill with a low-fat diet, placebo pill alone, or placebo pill with a low-fat diet) after six months of treatment. ANOVA (Analysis of Variance) is a statistical method used to analyze the differences among means of two or more groups.

In this case, ANOVA can be used to determine if there are significant differences in weight loss among the four treatment conditions.

A t-test or z-test would be appropriate if there were only two groups being compared.

A chi-square test is used to analyze categorical data, which is not applicable in this scenario where the data is continuous.

Therefore, an ANOVA F test would be used.

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What is the solution to the equation below round your answer to two decimal decimal places 5+6•log2 x=14
A. x=1.62
B. x=2.83
C. x=2.42
D. x=2.25

Answers

Answer:

x=2.83

Step-by-step explanation:

The solution to the equation, rounded to two decimal places, is x = 2.83.

The correct answer is option B: x = 2.83.

To solve the equation 5 + 6·log2(x) = 14 and round the answer to two decimal places, we can follow these steps:

1. Subtract 5 from both sides of the equation: 6·log2(x) = 9.

2. Divide both sides of the equation by 6: log2(x) = 9/6.

3. Simplify the right side: log2(x) = 1.5.

To find the value of x, we need to rewrite the equation in exponential form.

Remember that log2(x) = y is equivalent to [tex]2^y= x[/tex].

4. Rewrite the equation in exponential form: [tex]2^{1.5} = x[/tex].

5. Calculate the value of [tex]2^{1.5}[/tex] using a calculator or by approximating: x ≈ 2.83.

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A rectangular prism has a 192 cubic inches.

Answers

Answer:

6

Step-by-step explanation:

Volume of Rectangular Prism: (l)(w)(h)

8 x 4 x ? = 192

32 x ? = 192

/32        /32

height = 6

To check work:

(8)(4)(6) = 192

Solve the following equation for x 2log: 2x = 2 Describe what method you used to solve the problem and why?

Answers

Answer:

look at the picture i sent

What’s the correct answer?????
Correct answer gets brainlest

Answers

I think its 48 or 39

Answer:

B. $14

Step-by-step explanation:

starting amount: $8 per hour

8x35 weeks=280

8x0.05=0.4

8+0.4=8.40

8.40x35=294

294-280= 14

OR

8x35 weeks=280

280x0.05= 14

please help me!!!!!!! find the surface area of this figure ?
show your work.

Answers

Answer:

[tex] 93 \: {in}^{2} [/tex]

Step-by-step explanation:

Surface area of the figure

[tex] = \frac{1}{2} \times 6 \times 7 + 3 \times \frac{1}{2} \times 6 \times 8 \\ \\ = 3 \times 7 + 3 \times 3 \times 8 \\ \\ = 21 + 72 \\ \\ = 93 \: {in}^{2} [/tex]

Find the GCD of 36,72 and 576

Answers

Answer:

36

Step-by-step explanation:

1×36

36×2

36×16

aaaaaaaaaaaaaaaaaaaaaa

Suppose the sphere below with radius r has a surface area equal to 45 units
Find the surface area of the sphere with twice the radius.


Answers

Answer:

180 units 2 ............

A. 180 units ^2 ,,,,,

6)
Which polynomial is in standard form?
A)
3m3 + 2m? - m + 2
B)
8m3 + 6m2 + 2 - m
C)
-m” + 2m - m
– m2 + 1
D)
mº + 6m3 - 3m4 - 8

Answers

Answer:

D is the answer of this question

Select all statements below that are true about the box plots shown.

1) The interquartile range for the cars going North is higher than the interquartile range for the cars going South.

2) The median speed for the cars going North is higher than the median speed for the cars going South.

3) The interquartile range for the cars going South is 9.

4) The interquartile range for the cars going North is 27.

5) The maximum speed for the cars going North is higher than the maximum speed for the cars going South.

6. The lower quartile for the cars going North is lower than the lower quartile for the cars going South.

Answers

Four and six . Because if you look at the graph
There are 4 Answers:Choice 1Choice 3Choice 5Choice 6

In other words, choices 2 and 4 are false while everything else is true.

==========================================================

Explanation:

The boxplot, or box-and-whisker plot, is a visual way to display a five number summary. Recall that the five items of a five number summary are:

MinQ1MedianQ3Max

The min and max are exactly what they sound like: They're the smallest and largest values. Visually, this means they are the left and right most edges of the whiskers. This assumes that there are no outliers on either side.

The visual representation of Q1 and Q3 are the left and right edges of the box in that order. The gap between them is the IQR (interquartile range). The wider the box, the larger the IQR will be. The diagram shows the north cars have a larger IQR compared to the south ones.

Choice 1) is one of the answers since it is a true statement.

-------------------

The median is visually shown as a vertical line somewhere inside the box. It doesn't have to be at the exact midpoint of the left and right edges. We could have the median be closer to the left edge for instance, as the north cars boxplot shows.

Choice 2 is false because the diagram shows that the cars going south have a higher median speed, due to that lower vertical line being more to the right compared to the upper vertical line. In other words, the median speed of the cars going south is 64 mph while the median speed of the cars going north is 62 mph.

-------------------

Choice 3 is a bit tricky since the left edge of the blue box isn't lined up with a value on the number line. But it appears to be halfway between 58 and 60, so it seems like Q1 = 59 for the southbound cars. The value of Q3 for the southbound cars is Q3 = 68. The IQR is therefore,

IQR = Q3 - Q1 = 68-59 = 9

It's very likely that choice 3 is true

-------------------

For the northbound cars, we have

Q1 = 56

Q3 = 71 (assuming the right edge of the green box is exactly in the middle of the tickmarks of 70 and 72)

So,

IQR = Q3 - Q1 = 71 - 56 = 15

We don't get a result of 27, so choice 4 is not a true statement.

-------------------

Choice 5 is a true statement. The max speed of the northbound cars is larger than the max of the southbound cars. This is because the right tip of the north's whisker is further to the right compared to the south's corresponding whisker.

-------------------

The lower quartile is another name for "Q1" or "first quartile". So we'll be looking at the left edges of each box. The northbound cars have a smaller Q1 value because

Q1 = 56 for northbound cars

Q1 = 59 (or somewhere between 58 and 60) for southbound cars

Therefore, choice 6 is true.

Identify the constant of proportionality in the graph.
A) 60
B) 120
C) 180
D) 240

Answers

The answer should be A) 60

Answer:

A) 60

Step-by-step explanation:

Find two points that intersect with the grid.

(0,0) and (1, 60)

Subtract the second y value from the first y value. Do the same to the X-values.

Write this as a fraction with the y values over the x-values.

60-0= 60

-------------

1 - 0 = 1

60/1 = 60

3100 people attended a football game. If 5% of the people who attended were teenagers, how many teenagers attended the game?

Answers

Answer:

155 are teenagers

Step-by-step explanation:

3100 -5%= 2945

2945-3100=155

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