The roof of a tower in a castle is shaped like a cone. The height of the roof is 30 ft, and the radius of the base is 15 ft. What is the surface area of the roof?

Answers

Answer 1

Answer:

area=2πr

= 22/7*15

= 47.142


Related Questions

Out of 20 friends, 4/5 are going to the party. How many friends are going to the party?

Answers

Answer:

16.

Step-by-step explanation:

Multiply 20 and 4/5 to get the result of who is going.

20 * (4/5)

(20*4)/5

80/5

16

16 friends will be going to the party.

Answer:

16 friends

Step-by-step explanation:

Out of 20 friends, 4/5 are going to the party. How many friends are going to the party?

4/5 * 20 or 20 * 4/5

[tex]\frac{4}{5}*20\\\\ \frac{4}{5} *\frac{20}{1} < ==reduce\\\\\frac{4}{1}* \frac{4}{1}\\\\\frac{16}{1} \\\\16[/tex]

Therefore, 16 friends are going to the party.

Hope this helps!

Can someone help me with this? i am very confused.

Answers

The figures appear to be congruent to me, I simply counted the units that each of the bases had and also counted how far out the points went and got the same numbers.

Check the picture below.

the lengths of the corresponding horizontal lines is the same on each figure, 4 and 1.

the slope in red is the same for both figures, and the slope in yellow is the same on each figure, meaning the slanted sides on each figure is also the same length.

so the lengths in each figure is the same and the angles are also the same, so the shapes are congruent, and since they're congruent the scale factor will simply be 1 to 1 or 1:1, since neither is smaller or larger than the other.

Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)

Part B: Solve for k in each type of transformation. (4 points)

Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)

Answers

A) The transformations can be a vertical translation and an horizontal translation.

B) K = 8 and K' = 16

C) g(x) = f(x + 8)

    g(x) = f(x) + 16.

Which type of transformation could be used?

A ) By looking at the graph, we see that g(x) can be a translation to the left by K units or up by K' units.

B) In the case the translation is to the left, we can see that it the graph is moved 8 units, so K = 8.

In the case that the translation is up, we can see that it is for 16 units, so we have k' = 16.

C) How to write the equations?

An horizontal translation is written as:

g(x) = f(x + K).

Because the translation is to the left, we have that K is positive, then in our case we have:

g(x) = f(x + 8).

For the vertical translation the formula is:

g(x) = f(x) + K'

In our case, we have:

g(x) = f(x) + 16

If you want to learn more about transformations, you can read:

https://brainly.com/question/4289712

Answer:The transformations can be a vertical translation and an horizontal translation.B) K = 8 and K' = 16C) g(x) = f(x + 8)    g(x) = f(x) + 16.Which type of transformation could be used?A ) By looking at the graph, we see that g(x) can be a translation to the left by K units or up by K' units.B) In the case the translation is to the left, we can see that it the graph is moved 8 units, so K = 8.In the case that the translation is up, we can see that it is for 16 units, so we have k' = 16.C) How to write the equations?An horizontal translation is written as:g(x) = f(x + K).Because the translation is to the left, we have that K is positive, then in our case we have:g(x) = f(x + 8).For the vertical translation the formula is:g(x) = f(x) + K'In our case, we have:g(x) = f(x) + 16

Step-by-step explanation:

A coin is flipped 8 times. Find the probability of the event: Exactly 5 heads
a.0.625
b.0.03125
c.0.219
d.0.0039

Answers

Answer:

c.  0.219

Step-by-step explanation:

If the coin is fair, then the probability of flipping a head is 1/2 = 0.5

Therefore, we can model this as a binomial distribution:

X ~ B(n, p) where n is the number of events and p is the probability of success

Given:

n = 8p = 0.5

X ~ B(8, 0.5)

Using a calculator:

P(X = 5) = 0.21875 = 0.219 (3 dp)

Using the formula:

[tex]\sf P(X=x)=\dfrac{n!}{(n-x)!x!}p^x(1-p)^{n-x}[/tex]

(where n is the number of events, x is the number of desired successes and p is the probability of success)

[tex]\sf \implies P(X=5)=\dfrac{8!}{(8-5)!5!}0.5^5(1-0.5)^{8-5}[/tex]

[tex]\sf \implies P(X=5)=\dfrac{8!}{3!5!}0.5^50.5^3[/tex]

[tex]\sf \implies P(X=5)=56 \cdot 0.5^8[/tex]

[tex]\sf \implies P(X=5)=56 \cdot \dfrac{1}{256}[/tex]

[tex]\sf \implies P(X=5)=\dfrac{7}{32}[/tex]

[tex]\sf \implies P(X=5)=0.21875[/tex]

Mia drew a scale drawing of a game room. The air hockey table is 6 inches wide in the
drawing. The actual air hockey table is 4 feet wide. What scale factor does the drawing use?
Simplify your answer and write it as a fraction.

Answers

Answer:

8x

Step-by-step explanation:

The drawing of the air hockey table is 1/8th the size of the actual air hockey table so the scale factor the drawing uses is 8x

If a coat was marked down 20% and the sale price is $55.60, what is the original price?

Answers

Answer:

$69.50

Step-by-step explanation:

As it was marked down 20%, this means the sale price would be 100-20=80%.  

When                   80%  ---- cost $55.60      

Therefore when 100% ---- cost = $55.60 * 100/80

So when we solve this, we get the final ans $69.50                                  

Pls help me
Question 4 Part A (5 points):
Carlos started a business growing palm trees in South Florida.
The function t(s) = 3s + 20 represents the
number of palm trees that grew, where s is the
number of seeds he planted.
The function s(d) = 20d represents the number
of seeds he plants per day, where d represents
the number of days.

Write a composite function that represents
how many palm trees Carlos can expect to
grow over a certain number of days.

Answers

The composite function combines the palm tree and the seed functions

The composite function is t(d) = 60d + 20

How to determine the composite functions

The functions are given as:

Number of palm trees: t(s) = 3s + 20

Number of seeds: s(d) = 20d

The composite function that represents the number of palm trees Carlos can expect to grow over a certain number of days is represented as:

t(s(d))

This is calculated as:

t(s(d)) = 3s(d) + 20

Substitute s(d) = 20d

t(s(d)) = 3 * 20d + 20

Evaluate the product

t(s(d)) = 60d + 20

Rewrite as:

t(d) = 60d + 20

Hence, the composite function is t(d) = 60d + 20

Read more about composite functions at:

https://brainly.com/question/10687170

serious help needed ASAP :(( with the file attached will give brainliest if possible

optionally would also appreciate an extra answer to this question: https://brainly.com/question/27139711 (that can be posted there instead of here if you want)

spending max amount of points that can be in a single question

thanks

Answers

Answer:

a) (x=6); b) (x= -5.5)

Step-by-step explanation:

find the midpoint of each of the pairs of coordinates.

((x1 + x2)/2 , (y1 +y2)/2)

Find mid points

#1

(3,2) (9,2)

[tex]\\ \rm\rightarrowtail (\dfrac{3+9}{2},\dfrac{2+2}{2})[/tex]

[tex]\\ \rm\rightarrowtail (\dfrac{12}{2},\dfrac{4}{2}[/tex]

[tex]\\ \rm\rightarrowtail (6,4)[/tex]

We know x is fixed

So Axis of symmetry=x=6

#2

(-18,3)(7,3)

[tex]\\ \rm\rightarrowtail (\dfrac{-11}{3},2)[/tex]

[tex]\\ \rm\rightarrowtail (-5.5,2)[/tex]

Axis of symmetry

x=-5.5

9 ft
58.5 ft
33 ft
16.5 ft​

Answers

The areas are 9ft, 33ft and 16.5ft for the separate shapes. The area of the whole shape is 58.5, so that is the correct answer.
The answer would be B

10 people put their names into 2 different drawings what is the probability the same person will win both?

Answers

Answer:

2/20 chance that they get both the prizes

Unlikely due to the reason it’s a lot of people

Element X is a radioactive isotope such that every 81 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 1800 grams, how much of the element would remain after 28 years, to the nearest whole number?

Answers

Answer:

1426

Step-by-step explanation:

this question has been asked before and answered incorrectly but people corrected them in the comments.

A radioactive substance decays exponentially. A scientist begins with 190 milligrams of a radioactive substance. After 19 hours, 95 mg of the substance remains. How many milligrams will remain after 36 hours?

Answers

Answer:

  51 milligrams

Step-by-step explanation:

Exponential growth or decay can be modeled by the equation ...

  y = a·b^(x/c)

where 'a' is the initial value, 'b' is the "growth factor", and 'c' is the time period over which that growth factor applies. The time period units for 'c' and x need to be the same.

In this problem, we're told the initial value is a = 190 mg, and the value decays to 95 mg in 19 hours. This tells us the "growth factor" is ...

  b = 95/190 = 1/2

  c = 19 hours

Then, for x in hours the remaining amount can be modeled by ...

  y = 190·(1/2)^(x/19)

__

After 36 hours, we have x=36, so the remaining amount is ...

  y = 190·(1/2)^(36/19) ≈ 51.095 . . . . milligrams

About 51 mg will remain after 36 hours.

What is five sixths divided by nine thirds?

Answers

Answer:

0.270.27777777777

Step-by-step explanation:

You draw a diagram and color each side in for both of them


4 and 1/3 times 4 and 1/5

Answers

Answer:

The answer is 18.2 OR 18 1/5

Step-by-step explanation:

Hope it helps

Use synthetic division to divide:

(2x^4+5x^3-3x^2-x+1) / (x+2)

Answers

Answer:

[tex]2x^3 +x^2 -5x+9 -\frac{17}{x+2}[/tex]

Step-by-step explanation:

See picture for explanation

Modern Electronics offers a one-year monthly installment plan for a big screen TV. The payment for the first month is 882, and then it increases by 4% each month for the rest of the year. Which expression can be used to find the total amount paid in the first 12 months?

Answers

✿————✦————✿

Answer: A

[tex]62=\frac{12(1.04^{12}-1) }{1.04-1}[/tex]

✿————✦————✿

Explain how to find the length of one side of a regular polygon if you are given its perimeter.
I

Answers

Answer:

If you are only given the perimter, then you can only find the side lengths of a square

Step-by-step explanation:

e.g. say perimeter = 16

16 / 4 = 4 so each length is 4.

a=12, b=5, c= ? what is C

Answers

Answer:

17 or 7

Step-by-step explanation:

if im right brainliest pls
?

Please write no more than two paragraphs. Assignment is worth 25 points We have been talking about variables and how they are measured. For this assignment, I have assigned a paper for you to study on the potential impacts of a paleolithic diet on cardiovascular markers in patients with diabetes.

Answers

The impact of a paleolithic diet on cardiovascular markers in patients with diabetes is that it increases the concentration of certain fats in the blood.

What is diabetes?

It should be noted that diabetes simply means a condition when the blood glucose is too high.

In this case, the impact of a paleolithic diet on cardiovascular markers in patients with diabetes is that it increases the concentration of certain fats in the blood. It's simply a risk factor for heart diseases.

Learn more about diabetes on:

https://brainly.com/question/504794

write THREE equivalent fractions for the following fractions:

25/50 = ___ = ___ =____​

Answers

Answer:

25/50 = 5/10 = 1/2

Step-by-step explanation:

I hope it will be helpful

Answer:

25/50 = 5/10 = 1/2

Hooe this helps you :)

How to find an slope

Answers

Answer:

Y2-Y1

____

X2-X1

To FIND SLOPE. YOU DIVED THE DIFFERENCE OF THE Y- COORDINATES OF 2 POINTS ON LINE BY THE DIFFERENCE OF THE X- COORDINATES OF THOSE SAME 2 POINTS.

I THINK IT IS HELPFUL FOR YOU.?

19, 19, 27, 93, 121, 203, 291, 372, 389, 405, 453, 493, 549, 565, 775

Find the (median, mode, range, and mean) of the data set, and pls show how to find each of them.

Answers

Answer:

mean: 318.266

median: 372

mode: 19

range: 756

Step-by-step explanation:

to find the mean or the average, add all the numbers up and divide them by how many there are. example: 5 + 5 + 5 = 15 ÷ 3 = 4

to find the mode, all you have to do is find the number that is most common, there can be multiple modes

for the range, you subtract the smallest number from the largest

finally, to get the median, you put all the numbers in order from smallest to biggest and make your way to the number in the middle, if there are two numbers in the middle, add them up and divide them by two

Answer:

Mean: 298.87
Mode: 19
Median: 372
Range: 756

Step-by-step explanation:

Mean is the sum of terms over the total number of terms.
(19+19+27+93+121+203+372+389+405+453+493+549+565+775)/15 = 298.87
Mode is the most repeated term or value in the set.
(19,19,27,93,121,203,372,389,405,453,493,549,565,775) the only value repeated is 19
Median is the middle of the data set.
With 15 values the middle is 372
Range is the extent of all values between smallest and largest values
Largest values is 775, and the smallest is 19. 775-19 = 756

A rectangular prism has a length of 12 meters, a width of 3 meters, and a height of
meters
Enter the volume of the prism as a mixed number in simplest form in the box
meters

Answers

Answer:

Volume of Prism = 1/2×h×l×b

I think the formula will help you.

There is no Height, I think question is incomplete

Write the next whole number after 4444 in the base-five system.

Answers

Answer:   10000 in base 5

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

Explanation:

4+1 = 5 in base 10

But in base 5, the digit "5" does not exist.

The only digits in base five are: 0, 1, 2, 3, 4

This is similar to how in base ten, the digits span from 0 to 9 with the digit "10" not being a thing (rather it's the combination of the digits "1" and "0" put together).

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

Anyways let's go back to base 5.

Instead of writing 4+1 = 5, we'd write 4+1 = 10 in base 5. The first digit rolls back to a 0 and we involve a second digit of 1.

Think how 9+1 = 10 in base 10.

Similarly,

44+1 = 100 in base 5

444+1 = 1000 in base 5

4444+1 = 10000 in base 5

and so on.

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

Here are the first few numbers in base 5, when counting up by 1 each time.

0, 1, 2, 3, 4,

10, 11, 12, 13, 14,

20, 21, 22, 23, 24,

30, 31, 32, 33, 34,

40, 41, 42, 43, 44,

100, 101, 102, 103, ...

Notice each new row is when the pattern changes from what someone would expect in base 10. This is solely because the digit "5" isn't available in base 5.

solve picture question​

Answers

Answer:

As it ایس the correct answer is 45

78

7.90

Answer:

Its me Viktor Kozhanov may I have brainliest pleaseI also answered all you questions so give brainliest to those as well

Step-by-step explanation:

i need help with this problem

Answers

Step-by-step explanation:

Pythagoras theorem

16²=7²+a²

a²=16²-7²

a²= 256 -49

a²=207

a=√207

a=14.38

a≈14.4 in. (approx)

Answer:

Step-by-step explanation:

As it is a right angle triangle, we can use Pythagorean theorem to find a

base² + altitude² = hypotenuse²

7² + a² = 16²

49 + a² = 256

       a² = 256 - 49

       a² = 207

     a = √207

a = 14.4 in

what is the area of the triangle​

Answers

Answer:

6

Step-by-step explanation:

A=(bh)/2

a=(4*3)/2

a=12/2

a=6

Answer: 12 units 2

Step-by-step explanation:base times hight

If 1 penguin has a mass of 6 kg, what is the mass of 9 penguins?

Answers

Answer:

54 kg

Step-by-step explanation:

We need to multiply!!

6 x 9 = 54

Have an amazing day!!

Please rate and mark brainliest!!

A triangle has an angle measuring 90., an angle measuring 20., and a side that is 6 units long. The 6-unit side is in between
the 90 and 20. angles.
Is this a picture of the above triangle?
yes - true
no-false
Will give branliest

Answers

Yes :- true

as in the diagram 6 units in between the 20° and 90° and third angle will be 180-110 = 70°

Triangle with angle 90 and 20 degree possible as it Satisfies the angle sum property.

What is Angle Sum Property?

The total of a triangle's three internal angles is 180 degrees, as stated by the angle sum feature of a triangle. A closed shape with both inner and exterior angles, a triangle is created by three line segments.

Given:

angles= 20 and 90 degree

Using Angle Sum property

20 + 90 + <3 =180

<3 = 180 - 110

<3 =70

Hence, the Triangle with angle 90 and 20 degree possible as it Satisfies the angle sum property.

Learn more about Angle Sum Property here:

https://brainly.com/question/4316040

#SPJ2

Please help pls pls pls pls it’s due soon

Answers

Answer:

the answer is 67.5

Step-by-step explanation:

look at the photo

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