The solid below was made by cutting a cone-shaped hole out of a cylinder. The surface area of the resulting composite solid is square cm. Write your answer in terms of pi.

Answers

Answer 1

*see attachement below for the diagram

Answer:

(252π + 20) cm²

Step-by-step explanation:

The surface area of the resulting solid = curved surface area of the cylinder + area of 1 base of the cylinder + 2(slant height of the cone)

✔️Curved surface area of cylinder = 2πrh

r = ½(12) = 6 cm

h = 18 cm

C.S.A = 2*π*6*18 = 216π cm²

✔️Area of 1 base = πr²

r = ½(12) = 6 cm

Area = π*6²

Area = 36π

✔️Slant height of the cone = 10 cm

✅The surface area of the resulting solid = 216π + 36π + 2(10)

= (252π + 20) cm²

The Solid Below Was Made By Cutting A Cone-shaped Hole Out Of A Cylinder. The Surface Area Of The Resulting

Related Questions

Help me with this please!!!!!

Answers

Answer:

d = √(x2 - x2)^2 + (y2 - y1)^2 + (z2 - z1)^2

P1(0, 0, 0) P2(-9, 6, -4)

Substitute the values in the above equation and you will get

d = √(-9)^2 + (6)^2 + (-4)^2

= √(81 + 36 + 16)

= √133

= 11.53

Answer:

The answer is 11.53

A clothing store advertises that its prices are only 10% above cost. What is the store's profit on a coat that is advertised for $160?

Answers

Answer: $16

Explanation: 10% of $160 is $16

1 4/7 as an improper fraction.

Answers

your answer would be

11/7

The mix fraction as an improper fraction is 11/7.

We have,

Mix fraction:

1(4/7)

This can be simplified as an improper fraction:

= {(7 x 1) + 4} / 7

= (7+ 4) / 7

= 11/7

Thus,

The mix fraction as an improper fraction is 11/7.

Learn more about fractions here:

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A company analyzed how inventory was affected during the first five hours after a commercial aired for its product. The relationship is shown on the graph below.



What happens to inventory as each hour passes?
A.
The inventory decreases by 20 units.

B.
The inventory decreases by 10 units.

C.
The inventory decreases by 5 units.

D.
The inventory decreases by 1 unit.

Answers

I think the answer is B

Someone help me pls

Answers

Answer:

=a^-13/a^-6

=a^-13+6

=a^-7

Can someone explain this question which part of the class do you think you will apply to your life both now or in the future?

Answers

Ok I understand nununununuununu

help me pls! i'll mark u brainliest promised

Answers

Answer:

DF≅YZ

angle R≅angle N

XW≅TH

angle M ≅angle C

new coordinate=(2,1)

new coordinate=(0,2)

Reflection:

new coordinate=(5,-6)

new coordinate=(1,4)

Last one is already done

Step-by-step explanation:

Help please no links!! Step by step

Answers

9514 1404 393

Answer:

  42.1 cm

Step-by-step explanation:

The long arc is 265°/360° = 53/72 of the circumference of the circle. Its length is ...

  arc length = 53/72C = 53/72(2πr) = 53π/36(9.1 cm) ≈ 42.1 cm

△WXY is a right triangle, and △WZY is an isosceles triangle where WY¯¯¯¯¯¯≅ZY¯¯¯¯¯. Which is the measure of ∠XYZ?

Answers

Answer:

61 degrees

Step-by-step explanation:

TRUST ME I JUST DID THE IMAGINE MATH LESSON. !!!!

The measure of ∠XYZ in right triangle is 90 degrees.

What is an isosceles right angled triangle?

It has two equal sides, and those two equal sides make 90 degrees (right angle) internally. An isosceles triangle has two of its side length of same measure.

Let the considered isosceles triangle has two same lengthed sides of 'a' units.

Let its third side be of 'b' units.

Then, if we drop a perpendicular from the vertex joining similar sides to the opposite side, the opposite side is cut in half, each of length b/2 units.

We are given that;

A right triangle △WXY and △WZY

Now,

Let's label ∠WZY as α, so we have:

∠WZY = α

∠WYZ = α

Since the sum of the angles in a triangle is 180 degrees, we can find ∠WYX of △WXY:

∠WYX = 90 - ∠WXY

Now, we can use the fact that ∠WXY and ∠XYZ are complementary angles of a right triangle, so:

∠WXY + ∠XYZ = 90

Substituting ∠WYX for ∠WXY, we get:

∠WYX + ∠XYZ = 90

90 - ∠WXY + ∠XYZ = 90

∠XYZ = ∠WXY

Therefore, we can conclude that ∠XYZ is equal to ∠WYX, which is the angle opposite to the hypotenuse in a right triangle. So, we have:

∠XYZ = 90 degrees

Hence, in the given right triangle answer will be 90 degrees.

Learn  more about isosceles right angled triangle here:

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A spinner has 8-equal sections. Six of the sections are green. What is the probability that the spinner will land on green?

Answers

Answer:

3/4

Step-by-step explanation:

To find the probability of landing on green, we have to divide the number of sections that are green by the total number of sections

we have this as:

6/8 = 3/4

In Earth’s atmosphere, the speed of sound can be approximated using partial variation. The speed of sound is approximately 331 m/s at 0°C and approximately 343 m/s at 20°C.
Jenny yells out “Hello” in a canyon when the air
temperature is 10°C. It takes 1.4 s to hear her
echo. How far away is the wall of the canyon?

Answers

Given the info, we can do 343-331=12 and 20-0=20. Then divide both by 2 to get a ratio of 6:10. This indicates that if temperature is 10, speed will be 6 m/s. I order to get the distance, multiply 6 m/s by 1.4 s, the unit s (second) cancels out and the answer is 8.4 m.

A coach purchases 47 hats for his players and their families at a total cost of $302. The cost of a small hat is $5.50. A medium hat costs $6.00. A large hat costs $7.00. He purchases three times as many medium hats as small hats. Using matrices, how many large hats did the coach purchase?

Answers

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.

Since a total of 47 hats where purchased,  hence:

x + y + z = 47    (1)

Also, he spent a total of $302, hence:

5.5x + 6y + 7z = 302     (2)

He purchases three times as many medium hats as small hats, hence:

y = 3x

-x + 3y = 0    (3)

Represent equations 1, 2 and 3 in matrix form gives:

[tex]\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] ^{-1} \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}6\\18\\23\end{array}\right][/tex]

Therefore he purchases 6 small hats, 18 medium hats and 23 large hats

Answer:

Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.

Since a total of 47 hats where purchased,  hence:

x + y + z = 47    (1)

Also, he spent a total of $302, hence:

5.5x + 6y + 7z = 302     (2)

He purchases three times as many medium hats as small hats, hence:

y = 3x

-x + 3y = 0    (3)

Therefore he purchases 6 small hats, 18 medium hats and 23 large hats

If yu were to randomly survey 500 people each from two largest us cities would this be a random study why or why not HELP NEEDED ASAP !

Answers

Answer:

If you're timed then I would say,

Yes this is a random study because the problem specifically states that the survey samples were randomly selected from populations.

I think that is the answer! However, if you have time I would wait for another person to answer as well because I'm terrible at statistics :(

Answer:

No, its nat a random sample

Step-by-step explanation:

Its not a random sample because you have already selected two populations (the two largest US cities) which may or may not be representative of the vast majority of the country.

Hope this helps:)

9. please please help me out ill mark you brainlist

Answers

Answer:

C. The scale factor is less than one.

Step-by-step explanation:

By definition, similar triangles have equal angles and proportional corresponding side lengths. Thus, A, B, and D are all mutually exclusive, leaving C the only possible answer. Upon further inspection, the scale factor is indeed greater than one (each side length is scaled by a factor of two, which is large than one)

square & cube numbers puzzle
| Using only square and cube numbers less than or equal to 100, can you fill in the circles to make these
| sums true? You can only use each number once and you must use all the numbers.
36) + (64

Square and cube numbers

Answers

Answer:

who friendhjcicivigigivigigogogig'g

Help I need help with this

Answers

Answer:

????

Step-by-step explanation:

help me please!!! asap!​

Answers

C should be the answer

Answer: C

Explanation: 3(2) = 6

A town has a population of 2000 and grows at 4% every year. What will be the
population after 15 years, to the nearest whole number?

Answers

Answer:

[tex] \frac{4}{?100} \times \frac{2000}{?1} = 80 \\ \\ 2000 + 80 = 2080 \\ \\ 2080 \times 15 = 31200 [/tex]


What is the probability that Sarah will not select the queen of hearts?

Answers

Answer:

?

Step-by-step explanation:

Answer:

1/52

Step-by-step explanation:

There is only one queen of hearts in a deck of 52 so there for the prbability is 1/52.

5) A bag contains eight red
marbles and six blue
marbles. You randomly pick
a marble and return it to the
bag before picking another
marble. What is the
probabilty that the first
marble you picked was blue
and the second marble was
red? Record your answer as
a decimal to the
thousandths place (three
places past the decimal).

Answers

Answer:

P(B,R) = 24.490%

Step-by-step explanation:

P(B,R) = 6/14 x 8/14 which can be simplified to become 12/49 or 24.490%

A hiker has 2 pairs of hiking shoes, 3 shirts, and 5 pairs of shorts to choose from. How does the number of combinations of shoes, shirts, and shorts change as the
hiker adds a new pair of shorts to his collection? Explain.
If the hiker adds
new pair of shorts to his collection, the new number of combinations is
which is
than
The original number of combinations is
the original number of combinations.
(Type whole numbers.)

Answers

Answer: 12

Step-by-step explanation:

There are 12 different combinations

If you base it off of the 2 pairs of shoes, each one goes over each shirt twice, and each pair of shorts will go over once

The grid shown below is in the shape of a rectangle. What is the area, in square units, of the shaded part of the rectangle? *

Answers

answer:
B) 24

step-by-step explanation:
there are 48 squares in total
half of the squares are shaded
48/2
24

Answer:

I'm going to say 24. I'm 97% sure I'm correct

helpppp pleaseee
NO LINK

Answers

Answer:

The graph increases

Step-by-step explanation:

HELLLLLPP FASSTT PLZZZZ!!!!!! U ANSWER THIS THANNNKKK YOU

Answers

Answer:

1) No

2) 4/8 or 1/2

3) 2/8 or 1/4

4) 4/8 or 1/2

5) No

6) 1/8

7) No

Which statement is true about the pattern above?

Answers

The answer is the fraction 12/16 is also part of the pattern

Answer:

The correct answer is "The next fraction in the pattern is 243/324". Each fraction is the other multipled by 3.

Step-by-step explanation:

Pls help will mark brainliest

Answers

So the one on the bottom is the answer plz mark on us as brainliest

State the x- and y-intercepts of each equation
y= -2x + 7

Answers

Answer:

x-intercept(s):   ( 7/ 2 , 0 )

y-intercept(s):   ( 0 , 7 )

Step-by-step explanation:

Answer:

y = 7, x = 7/2

Step-by-step explanation:

y - intercept = 7

x - intercept = 7/2

Please help will mark brainliest

Answers

Answer:

The answer is 36.9

Step-by-step explanation:

You randomly draw a marble from a bag, record is color, and then replace it. You draw a blue marble 11 out of 50 times. What is the experimental probability that the nes marble will be blue? Write your answer as a fraction, de mal, or percent. The experimental probabilty that the next marble will be blue is​

Answers

Answer:  11/50

Explanation:

This may seem like a trick question, but it's not. Your teacher simply wants to know how many times you got blue out of the number of times total. The numerator is the number of blue. The denominator is the number of total tries.  The fraction 11/50 cannot be reduced because 11 and 50 share no common factors other than 1.

Notes:

11/50 = 0.22 = 22%The answer above applies to experimental probability only. The theoretical probability is likely different. We don't have enough info to compute the theoretical probability.

What angles can make a triangle, it has to do with acute, right, and obtuse angles. which two of these three make a triangle?

Answers

Answer:

acute angles and an obtuse angle

Step-by-step explanation:

There are different types of triangle. We have;

Right angled

Obtuse triangle

isosceles triangle etc

Angles of an obtuse triangle is made up of two acute angles are an obtuse angle.

hence the two angles that can make up a triangle out of this three is acute angles and an obtuse angle since this two angles literally form an obtuse triangle

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