Calculate the area of the annulus which has an external diameter of 25cm and an internal diameter of 15cm

Answers

Answer 1

Answer:

314.159 square cm

Step-by-step explanation:

Area of an annulus with external radius r1 and internal radius r2 is given by
π(r1² - r2²)

radius = half diameter

r1 = 25/2 = 12.5 cm

r2 = 15/2 = 7.5 cm

Area of annulus
= π(12.5² - 7.5²)
= 314.159 square cm

Answer 2

The correct answer is 314.159 square cm


Related Questions

Write an algebraic expression for c multiplied by 4, all divided by 7 lots of d.

Answers

Answer: The algebraic expression for c multiplied by 4, all divided by 7 lots of d is given by:

(4c) / (7d)

Step-by-step explanation:

It would be 4c/7d :))

Susie made a large pot for her family. The pot Susie used has a capacity of 5 liters. Why could the capacity of the same pot be 5,000 milliliters?

Answers

Answer:

Because:

[tex]1 \: liter = 1000 \: milliliters[/tex]

Therefore to change from litres milliliters we multiply with 1000

[tex]5 \times 1000 = 5000[/tex]

Proportional or not?

Equation=_____

Answers

Answer: yes

Step-by-step explanation:

this is propprtional

The Pythagorean Theorem and its Converse pt. 2
(Question 10)

Please answer all questions and solve step by step and please try to show/explain with the least words as possible and use mostly numbers to for explain there can still be some words tho.

Answers

Answer:

1 hour - how many more hours will the tank be out of gas

Step-by-step explanation:

The path of the boat, the horizontal distance and vertical distance from the dock are in the shape of a right triangle

Distance of boat from dock after 1 hour
d = [tex]\sqrt{6^2 + 8^2} = \sqrt{36 + 64} = \sqrt{100} = 10\;mi\\[/tex]

Speed of boat = 10mph

distance that can be traveled with 4 gallons of fuel

d = 5 mpg x 4 g = 20 miles

The boat has already traveled 10miles in the diagonal direction. Assuming same trajectory, the boat can travel 20 - 10 = 10 miles more

10 miles ==> 1 hour more at 10 mph

So additional time the boat can travel = 1 hour

I hope that helps. Tried to do my best to cut down the words

(quizz 7)

A) How fast was the cyclist going in miles per hour?
1) miles per hour _____

B) At that rate, how long will it take the cyclist to go 4.125 miles (in hours)?
1) hours? _____

Answers

A - The cyclist was going 16.5 miles an hour
B - it would take the cyclist 1/4 of an hour to ride

Answer:

(A) should be 16.5 mph

(B) is 0.25

Step-by-step explanation:

B was pretty easy because all you had to do is divide by 2

Find 40% of 35. Show your work or explain how you arrived at your answer.

Answers

40/100 x 35
0.4 x 35
=14.0
=14

Answer:

It's 14

Step-by-step explanation:

First divide 35 by 100 then multiply by the percentage or 40 and the answer is 14

Brainliest
Three cylinders have a height of 8 cm.... Find the volume of each cylinder. Round all answers to the nearest hundredth. Use 3.14 for pi.

Answers

Cylinder #1: 25.12

Work: 3.14(1)^2(8)

Cylinder #2: 100.48

Work: 3.14(2)^2(8)

Cylinder #3: 226.08

Work: 3.14(3)^2(8)


Formula: (pi)r^2(h)

In words: pi times radius squared times height

20% of what number is 12

Answers

Answer: 12 is 20 % of the number 60

Step-by-step explanation:

Answer:

2.4

Step-by-step explanation:

Re-write 20%

[tex]\frac{20}{100}[/tex]

Since, finding a fraction of a number is also the same as multiplying the fraction with the number, we have:

[tex]\frac{20}{100}[/tex] of 12 = [tex]\frac{20}{100}[/tex] x 12

The answer is:

2.4

A summer job pays $7.25 per hour. You work for 12 hours. How much do you make? Show all of your work.

Answers

Well, since you never said in the question, I assume that it’s only for 12 hours and not for a week. So you take $7.25 times 12 hours. If it were for a week then it would be $7.25 * 12 * 5, because you work 5 days in a week depending on what job you have.. so the answer is 87$. $7.25 * 12.
Hope this helps..

A hotel asked its guest how many times they went sledding last winter.
SLEDDING LAST WINTER

Answers

Answer: 4

Step-by-step explanation:

the highest number is 4

Answer:11 times

Explanation: you just add them all up

Question
The label on a juice carton says that a 4-ounce serving of juice has 50 calories.

Arthur drinks 8 ounces of juice.

How many calories will he consume?

Responses

48 calories
48 calories

58 calories
58 calories

100 calories
100 calories

200 calories

Answers

Answer:

Step-by-step explanation:

4(ounces) = 50(calories)

he drinks 8(ounces)

witch is 50 + 50 = 100

Arthur will consume I believe 100 ounces, Please tell me if I’m wrong

my explanation is because 4 ounces is 50 calories Correct? So Add 8 More ounces and that would make 100. Please tell me if I read it wrong

There are two triangles satisfying angle BCA = 60 degrees, AB = 9 and AC = 10 shown below:

The possible values of BC$ are a_1 and a_2, as shown in the picture, with a_1
What are a_1 and a_2?

Please don't round your answer. Keep it as a square root.

Answers

Answer:

Don't see the picture

Step-by-step explanation:

So far I'm getting that

(According to the law of cosines):

CAB ≈ 45.793°

ABC ≈ 74.207°

BC ≈ 7.449

Density is a measure of how much mass is present in a certain volume of space and is defined by the formula , where D represents density, m represents mass, and V represents volume. If the density of an object is y10 grams/cm3 and its volume is y4 cm3, what is

Answers

Answer:

mass is 40y^2

Step-by-step explanation:

D=M/V

D=y10

V=y4

Y10=m/y4

Y10xy4=m

40y^2=m

I don’t know what you mean by y, but I’m pretending it’s a variable here.

NEED HELP FAST!!! Find the constant of proportionality for the proportional relationship shown on the graph.

graph of a line going through 0 comma 0 and one half comma 7

p = 0.5
p = 0.714
p = 7
p = 14

Answers

Answer:

p = 14

Step-by-step explanation:

If at x 1/2 and y 7 this means that for x 1 y would be double 7 or 14.

ANSWER -

To find the constant of proportionality for the proportional relationship shown on the graph, we need to determine the slope of the line.

The slope of a line passing through two points (x1, y1) and (x2, y2) is given by:

slope = (y2 - y1) / (x2 - x1)

Using the coordinates given in the problem, we can calculate the slope of the line:

slope = (7 - 0) / (0.5 - 0) = 14

Therefore, the constant of proportionality is 14, which means that as x increases by 1, y will increase by 14.

So, the correct answer is p = 14.

Please help. I WILL make first person to answer brainliest.
Requirments:
Very simple explanation
Answer
No step by steps.
Thank you
Also sub to Graystillplays bc he is GOATED and hilarious

Answers

Terms: 3, c, e

Coefficients: 1, 1

Constants: 3

Organizers of the Gasparilla Pirate Festival in Tampa estimate that the parade attracts about 6% more people each year. The function f(x)=300(1.06)^x represents the estimated number of people (in thousands) who attend the parade x years after 2020.
Find the domain and range.
What is the estimated number of people who attend the parade in 2024?

Answers

Answer:

mm

Step-by-step explanation:

solve for x
x= _______

Answers

X=20 because in order for you to get a factor of 18 on the numerator you have to multiply by 2 and what ever you do to the top has to be done to the bottom.

Which expression is equivalent to -3(2m-1)-n?

6m-n-3
6m-n+3
-6m-n-3
-6-n+3

Answers

-3(2m-1)-n

-3(2m) = -6m
-3(-1) = 3

-6m + 3 - n

ANSWER: -6m-n+3

Tyler and Elena are on the cross country team.
Answer all questions

Answers

Answer: Tyler and Elena are on the cross country team.

Tyler's distances and times for a training run are shown on the graph.

Elena's distance and times for a training run are given by the equation.

Step-by-step explanation: Represents distance in miles and

represents time in minutes.

a. Who ran farther in 10 minutes? How much farther? Explain how you know.

b. Calculate each runner's pace in minutes per mile.

c. Who ran faster during the training run? Explain or show your reasoning

To know more about equation:

https://www.numerade.com/questions/tyler-and-elena-are-on-the-cross-country-team-tylers-distances-and-times-for-a-training-run-are-show/

jessica jogged 4 laps around a rac in 9 minutes luke jogged8 laps in 27 minutes their rates can be expressed as the ratio 4:9 ans 8:27 are jessicas and luke rate equivalent?

Answers

Answer:

Jessica and Luke rates are inequivalent.

Step-by-step explanation:

Jessica had 4 laps and had 9 minutes.

4 Laps/9 Minutes = 12 laps/27 Minute

12 Laps/27 Minutes ≠  8 Laps/ 27 Minute

So, Jessica and Luke has inequivalent.

Hope this helped you, brainliest if possible, and tell me If I am wrong, I also answered first! :D

Noah says that to find 20% of a number he divides the number by 5. For example, 20% of 60 is 12, because 60 ➗ 5 = 12. Does Noah’s method always work? Explain why or why not.

Answers

Answer:

No, Noah's method does not always work.

Step-by-step explanation:

Let's say we're trying to find 40% of 80 instead of 20% of 60.

If we divide 80 by 5, like Noah says, we get 16, which is not 40% of 80.

The proper solution would be to multiply the number by the percentage converted to a decimal.

In this case, it would be 80 × 0.4, which is 32.

When you try to solve 20% of 60, you can say 60 × 0.2, which also gets 16.

Answer:

No it doesn't

Step-by-step explanation:

His method never works because multiplying by does not give the same result as dividing by 5. AI Recommended Answer: To find 20% of a number, divide the number by 5. For example, 20% of 60 is 12.

helping my friend with hw can someone give me the answer

Answers

Answer:

216y^3

Step-by-step explanation:

a=1/2bh

a=1/2(8x6)

a=1/2(48)

a=24

24x9=216

The answer is 216 my gangster ☝️☝️

There's one triangle satisfying angle BCA = 60 degrees, AB = 12 and AC = 10 shown below:
The only possible value of BC is a, as shown above. What is a?
Please don't round your answer. Keep it as a square root.

Answers

Answer:

see attached

Step-by-step explanation:

you need to create 2 right angle triangles

one on the left has 60° which makes it a special right angle triangle with the property of the following:

the side that's opposing the 30° angle will be 1/2 of the long side,

the side that's adjacent to the 30° angle will be √3/2 of the long side

once you know these, the rest is easy

Answer:

a = 5 + √69

Step-by-step explanation:

I am just providing another way of  solving this. The answer provided by user elzny is absolutely correct and probably easier to understand. He has done a great job.

We can solve for a using the law of cosines which states that given, two sides of a triangle(say a and b) and an included angle (say C), the third side, c  can be determined by the relation:

c² = a² + b² -2ab(cosC)

or

a² + b² -2ab(cosC) = c²

If we look at the triangle we see that angle C measures 60° and the two sides that include this angle are of lengths 10 and a. The third side is 12

Plugging in these values into the equation,

10² + a² - 2(10)(a)(cos 60) = 12²

100 + a² -20a(cos 60) = 144

cos 60 = 1/2

So

100 + a² - 20a (1/2) = 144

(100 - 144) + a² - 10a = 0

a² -10a -44 = 0

This is a quadratic equation which can be solved to get two values for a
The solution to this quadratic equation is done using the quadratic formula

[tex]x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }[/tex]

where

a = coefficient of x²  = 1 in this problemb = coefficient of x = -10 in this problemc = constant = -44

Plugging in these values,

[tex]x = \dfrac{ -(-10) \pm \sqrt{(-10)^2 - 4(1)(-44)}}{ 2(1) }\\\\x = \dfrac{ 10 \pm \sqrt{100 - (-176)}}{ 2 }\\\\x = \dfrac{10}{2} \pm \dfrac{\sqrt{276}}{2}}[/tex]

Factor 276 to get 276 = 4 x 69


[tex]\sqrt{276} = \sqrt{4 \cdot 69} = \sqrt{4} \cdot \sqrt{69} = 2 \sqrt{69}[/tex]

This results in

[tex]x = \dfrac{ 10 }{ 2 } \pm \dfrac{2\sqrt{69}\, }{ 2 }\\\\x = 5 \pm \sqrt{69}\\\\[/tex]

[tex]\sqrt{69}[/tex] is greater than 5 so we take only the positive component which is
[tex]5 + \sqrt{69}[/tex]

Which is the same answer as what elzny  provided.

The pro of this methodology:
Direct implementation without splitting the triangle

The con:
You have to solve a quadratic equation which is not fun. But most scientific calculators can do this for you

Thanks!





Type the correct answer in each box. Four number lines named graph A, graph B, graph C, and graph D are present. Their respective ranges are 19 to 27, 21 to 30, 23 to 32, and 23 to 32. Each number line has an arrow highlighted on it. The graph that correctly represents the inequality 2x > 50 is graph . The graph that correctly represents the inequality x + 6 < 32 is graph .

Answers

Answer:

B

Step-by-step explanation:

Simplify the inequality

x<26

May someboy help my brain. Its just sales tax. Btw the second answer is wrong.

Answers

Answer:

$4.94

Step-by-step explanation:

We can first solve this by turning this sales tax percentage into a decimal

[tex]8.6\% = 0.086\%[/tex]

Now that we got that and your first answer of $57.40, we can multiply the two numbers.

[tex]0.086 \times 57.40 = 4.9364[/tex]

That rounds to 4.94

Answer:

$6.02

Step-by-step explanation:

because 8.6% of 70

You have 2 different savings accounts. For Account​ A, the simple interest earned after 9 months is ​$6.75. For Account​ B, the simple interest earned after 21 months is ​$19.25. If the interest rate is ​3.6% for Account A and 2.2​% for Account​ B, how much is the principal in each​ account? Which account earned you the most interest the first​ month? Explain your answer.
PLS HELP ME WITH THIS, I DON'T UNDERSTAND THIS!

Answers

Answer:

Step-by-step explanation:

Answer: Foremost sum could Be a = $250.09 Principal sum is B = $400. Account B earned you the foremost intrigued the first​ month The equation for straightforward intrigued is communicated as I = PRT/100 Where P = the central or starting sum of cash invested. R = intrigued rate T = time

On account A,

I = $6.94

R = 3.7%

T = 9 months = 9/12 = 0.75 years.

On account B,

I = $13.80

R = 2.3%

T = 18 months = 18/12 = 1.5 years

To decide the account that earned more intrigued within the to begin with month we separate the intrigued by the number of months.

$6.94/9 = $0.7711

$13.80/18 = $0.7667

Account B earned you the foremost intrigued the first​ month since $0.7667 is higher than $0.7711.

hoped this helped :-)

There are two triangles satisfying angle BCA = 60 degree, AB = 9 and AC = 10 shown below:
The possible values of BC are a_1 and a_2$, as shown in the picture, with a_1

Answers

Answer:

Step-by-step explanation:

So...let's figure a2 first

a2 / sin (45.8)  = 9 /sin C

a2 / sin (45.8) =  9 / [ sqrt (3) / 2 ]

a2 =sin (45.8) * 18 / sqrt 3  ≈  7.45

And in the second case

C = 180 -60 - 105.8   ≈  14.2°

So....by the Law of Sines again we can find a1 as

a1 / sin (14.2) = 18/sqrt 3

a1=  sin (14.2) * 18 /sqrt 3 ≈  2.55

{a1 , a2}  = {2.55 , 7.45}

write the number 2 equivalent from as a fraction decimal or percent.

0.75

what is the equivalent fraction?

Answers

Answer: 3/4

Step-by-step explanation:

0.75 = 75/100

75/25 = 3

100/25 = 4

Therefore, 0.75 = 3/4

Answer: hope this helps ♡

¾ is equivalent to 0.75

Step-by-step explanation:

pls answer quick for my project!
Deondra read 8 2/3 pages in of an hour. At what rate, in pages per hour, did she read?

On the double number line below, fill in the given values, then use multiplication to find the missing value. Enter your answers as fractions, mixed numbers, or whole numbers.

Answers

Answer: 40 pages per hour.

Step-by-step explanation:

Which statement compares the fractions two fourths and five twelfths correctly?

two fourths is less than five twelfths
two fourths is greater than five twelfths
five twelfths is equal to two fourths
five twelfths is greater than two fourths

Answers

Answer:

B. two fourths is greater than five twelfths

Step-by-step explanation:

B
2/4 is greater than 5/12

I like to ask myself this question: would i rather have 1/2 of a pizza or 5/12 of a pizza? that’s how you know which one is greater
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