Work out the circumference and area of glass needed for the top of a display cabinet which has a diameter of 1.8m

Answers

Answer 1

Answer:The area of a circle with radius 0.2865 is 0.2579

Step-by-step explanation: Area of a circle in terms of radius:

Area = π·r2 = 3.14·0.292 = 0.26 square meters(*)

Area of a circle in terms of diameter:

Area = π·(d

2

)2 = 3.14·(0.57

2

)2 = 3.14·(0.29)2 = 0.26 square meters(*)

Area of a circle in terms of circumference:

Area = C2

= 1.82

= 3.24

(4·3.14)

= 3.24

12.56

= 0.26 square meters(*)

Answer 2

The circumference of circle is 5.652m.

What is Circumference of circle?

The circumference of a circle is its boundary or the length of the complete arc of a circle.

The formula for the circumference of a circle is expressed using the radius 'r' of the circle and the value of 'pi'. It is expressed as, Circumference of a circle formula = 2πr. While using this circumference formula, if we do not have the value of the radius, we can find it using the diameter.

For example:

If the radius of the circle is 25 units, find the circumference of the circle. (Take π = 3.14)

Solution: Given, radius = 25 units

Let us write the circumference formula and then we will substitute the value of r (radius) in it.

Circumference of circle formula = 2πr

C = 2 × π × 25

C = 2 × 3.14 × 25 = 157 units

Therefore, the circumference of a circle is 157 units.

Given:

diameter= 1.8 m

radius= 0.9m

Now, Circumference of circle

=2πr

= 2* 3.14 * 0.9

= 5.652 m

Hence, the circumference of circle is 5.652m.

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Related Questions


3. Find the difference between the two expressions.
1x - 5y)-1(x + 2y)

Answers

Answer:

[tex]-7y[/tex]

Step-by-step explanation:

Our equation is:

[tex]\left(1x-5y\right)-1\left(x+2y\right)[/tex]

First we dritribute

Now we have, [tex]x-5y-x-2y[/tex]

[tex]Combine[/tex] light terms

and we get [tex]-7y[/tex]

I know that x + 2 is a factor of P(x) = 2x^{3} + 5x^{2} + 5x + 6, but I just don't know how to do the second half

Answers

Answer:

explain it again

Step-by-step explanation:

i don't understand

Three times the difference “2x minus 1” is the opposite of 9 times x. Solve for x.

Answers

Answer:

x = 1/5 - first box

Step-by-step explanation:

Let's interpret this by using what I call the "isolated-x method."

First, we can simplify whatever's being affected in the parentheses.

#1: 3 times (2x) is equal to 6x

#2: 3 times (- 1 | equal to -1) results in -3, or + -3

So now we're working with 6x - 3 = -9x.

Now, we'll add a positive 9x to the -9x, since it can be hugely helpful to have one side result in 0.

Now we're working with 15x (6x + our new 9x) - 3 = 0

Since we have "whole like terms" we can now easily add 3 to each side.

Now we're working with 15x = 3 (0 + our new 3)

We can finish by dividing each side by 3.

15x = 3 now turns into 5x = 1.

To get from 5 to 1 you can multiply 5 by its "multiplicative inverse," also known as 1/5.

Therefore, x = 1/5

Hopefully this helped a bunch! Tell me if you need any further assistance...

( :

simplify by expressing with radicals n√x^3^n​

Answers

We can work with the exponents to simplify our expression, and we will get:

[tex]\sqrt[n]{x^{3n}} = x^3[/tex]

How to simplify the expression?

Remember that a root of degree n is equivalent to an exponent of 1/n.

This means that we can rewrite a root of degree n as:

[tex]\sqrt[n]{x} = x^{1/n}[/tex]

Then our expression:

[tex]\sqrt[n]{x^{3n}}[/tex]

Can be rewritten as follows.

[tex]\sqrt[n]{x^{3n}} = (x^{3n}})^{1/n}[/tex]

Now we have the exponent of an exponent, that means that we just need to take the product between the two exponents.

Now we can take the product of the exponents to get.

[tex]\sqrt[n]{x^{3n}} = (x^{3n}})^{1/n} = x^{3n*1/n} = x^3[/tex]

You can see that in the third step the exponents n and 1/n cancell eachother, so we end only with the exponent 3.

That is the expression simplified.

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Suppose y = sqrt 2x+1, where x and y are functions of t.
(a) If dx/dt = 9, find dy/dt when x = 4.
(b) If dy/dt = 3, find dx/dt when x = 40.

Answers

If y = √(2x + 1), then differentiating both sides implicitly with respect to t gives

dy/dt = 1/2 • 1/√(2x + 1) • 2 • dx/dt = 1/√(2x + 1) • dx/dt

(a) If dx/dt = 9 and x = 4, then

dy/dt = 1/√(2•4 + 1) • 9

dy/dt = 1/√(8 + 1) • 9

dy/dt = 1/√9 • 9

dy/dt = 9/3

dy/dt = 3

(b) If dy/dt = 3 and x = 40, then

3 = 1/√(2•40 + 1) • dx/dt

3 = 1/√(80 + 1) • dx/dt

3 = 1/√81 • dx/dt

3 = 1/9 • dx/dt

dx/dt = 27

12(6x + 10) + x = 9x + 5(1 – x) can u solve this?

Answers

Answer:

-115/69

Step-by-step explanation:

12(6x + 10) + x = 9x + 5(1 - x)

72x + 120 + x = 9x + 5 - 5x

73x + 120 = 4x + 5

69x = 5 - 120

69x = -115

x = -115/69

Kylie has lemon and watermelon in a ratio of 10:71. How many watermelon does she have if she has 20 lemons

Answers

Answer:

142 watermelon

Step-by-step explanation:

10/71 = 20 / w

w = 20(71/10) = 142

f(x) =2^x−4
g(x) = 5/x

evaluate g(f(2))=

Answers

Answer:

not possible

Step-by-step explanation:

f(2)=2^2-4=0

g(f(2))=5/0 it's not possible

Help help help help help help help help help help help

Answers

Answer:

Step-by-step explanation:

A' = (2 + 3, 1 + 2) = (5, 3)

B' = (-1 + 3, -3 + 2) = (2, -1)

C' = (3 + 3, -3 + 2) = (6, -1)

A fire is sighted due west of lookout A. The bearing of the fire from lookout B, 8.6 miles due south of A, is N 42°26'W. How far is the fire from B (to the nearest tenth of a mile)? 7) A)13.7 mi B)11.7 mi C)12.7 mi D)14.7 mi

Answers

Answer:

11.7 miles

Step-by-step explanation:

I hope this helped!

What is the total measurement of Rope 1 and Rope 2 if Rope 1=25.675cm and Rope 2= 25.85 cm

Answers

Answer:

51.525cm

Step-by-step explanation:

Set Question involving real and natural numbers

Answers

Only two real numbers satisfy x² = 23, so A is the set {-√23, √23}. B is the set of all non-negative real numbers. Then you can write the intersection in various ways, like

(i) A ∩ B = {√23} = {x ∈ R | x = √23} = {x ∈ R | x² = 23 and x > 0}

√23 is positive and so is already contained in B, so the union with A adds -√23 to the set B. Then

(ii) A U B = {-√23} U B = {x ∈ R | (x² = 23 and x < 0) or x ≥ 0}

A - B is the complement of B in A; that is, all elements of A not belonging to B. This means we remove √23 from A, so that

(iii) A - B = {-√23} = {x ∈ R | x² = 23 and x < 0}

I'm not entirely sure what you mean by "for µ = R" - possibly µ is used to mean "universal set"? If so, then

(iv.a) Aᶜ = {x ∈ R | x² ≠ 23} and Bᶜ = {x ∈ R | x < 0}.

N is a subset of B, so

(iv.b) N - B = N = {1, 2, 3, ...}

please help meeeee c:

Answers

Answer:

x = - 2

Step-by-step explanation:

Don't let the points disturb you. They are actually meant to confuse you.

help!!!!!!!!!!!!!!!!!!

Answers

i’m pretty sure it’s b

The vector makes angles
[tex]Sin^- {}^{1} (\frac{ \sqrt{2146} }{65} ) \: and \: sin {}^{ - 1} ( \frac{12}{13} )[/tex]
with the X and Y axes.Find the Sin Ratio of the angle that is makes with Z-axis.​

Answers

Answer:

To know the answer refer to attachment.

Note: There are 3 attachments

Scroll side to see the 3rd attachment

[tex]\Large\textsf{Hope \: It \: Helped}[/tex]

I’ll mark you brainliest if you help me answer 1-9 (no bs)

Answers

yyyy yy yy yuy idont know

Answer:

1. 0

2. undefined

3. 0

4. 0

5. undefined

6. undefined

7. undefined

8. 0

9. 0

Step-by-step explanation:

Write in simplest radical form.

Answers

Step-by-step explanation:

i think this is the answer if its wrong im sorry

What is the nth term of each linear pattern?


a) 5.4, 8.4, 11.4, 14.4, 17.4...




b) 85, 80, 75, 70...




c) 38 1/2, 43 1/2, 48 1/2, 53 1/2, 58 1/2

Answers

a) 2.0+3.4n

b)90-5n

c)33 1/2+5n

Suzanne correctly answered 32 of the 40 questions on her math test


What decimal is equivalent to the fraction of questions Suzanne answered correctly?



Enter your answer in the box.​

Answers

Answer:

Step-by-step explanation: 50 million

If Isabella runs 23 mile each day, how many miles will Isabella run in 6 days?

Answers

Answer:

[tex]138[/tex] miles in 6 days

Step-by-step explanation:

Our [tex]Rate[/tex] is [tex]23[/tex] miles per day.

Definition

Rate in Math - The speed of something happening in a certain amount of time, it is usually consistent.

Rate in Physics - Rate means rate of change. Basically, how much a certain quantity changes with respect to another quantity that is also changing. You may also sometimes hear the term gradient which describes the same thing.

To find how many miles she will run in 6 days we will multiply our [tex]Rate[/tex] by our Time, to find our distance, [tex](Miles, Physics)[/tex]

Our equation

[tex]23\cdot6[/tex]

Solve

[tex]138[/tex] miles in 6 days

Brainliest please :)

Can someone help me please

Answers

Answer:

52.7%

Step-by-step explanation:

If I am correct it means to round the percentage, so it would be 58% if you are rounding it

find the length of the unknown side of a right triangle with sides a,b, and c, where c is the
hypotenuse, using the following information. a=10, b=24​

Answers

Answer:

hlo georgia can you become my friend please

Answer:

[tex]c=26[/tex]

Step-by-step explanation:

The Pythagorean Theorem goes like this

[tex]a^{2}[/tex][tex]+b^{2}=c^2[/tex]

[tex]10 \cdot 10 =100[/tex]

[tex]24 \cdot 24=576[/tex]

[tex]100+576=676[/tex]

Now we find the square root of 676

[tex]\sqrt{676} =26[/tex]

[tex]side[/tex] [tex]c=26[/tex]

If your answer is b[tex]\neq[/tex]-10 what does it mean

Answers

Answer:

This means that b is not equal to -10.

Tìm hàm đơn thức tương đương

Answers

Answer:

what? elaborate please and thank you

4)
4826 Fans attended the
Bears vs. Wildcats footbal game.
The number of Wildcat fans was
250 less than three times the
number of Bear fans in attendance
How many Wildcat fans were at
the game? How many
Bear Fans were there?

Answers

The number of Wildcat fans were at  the game is 3557.

The number of  bears fans at the game is 1269.

Let:

W = number of wildcats fans at the game

B = number of bears fans at the game.

The total number of fans at the game: W + B = 4826

This equation can be used to represent the number of wildcats fans at the game: W = 3b - 250

Replace for w in the above equation:

3b - 250 + b = 4826

To determine the value of b, take the following steps

Combine and add similar terms

4b = 5076

Divide both sides by 4

b = 1269

To determine the value of w, substitute for b in the first given equation.

W + 1269 = 4826

w = 4826 - 1269

w = 3557

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what integer does 378 need to be divided by to equal -21

Answers

Answer:

-18

Step-by-step explanation:

just divide 378 by 21 to get the missing integer:18

since multiplying 2 negatives makes a positive, the same applies for division, so it would be -18

Find the angles of a triangle which are in the ratio 4:3:2.​

Answers

Answer:

80o, 60o, 40o

Step-by-step explanation:

The sum has to add up to 180 degrees because of the three sides and this is what matches.

Answer:

Let the given angles of the triangle be 4x, 3x and 2x.

We know that the sum of all interior angles of a triangle is 180°.

Therefore,

4x+3x+2x = 1809x = 180x = 180/9x = 20

Hence, the angles of the triangle are -

4x = 4×20 = 80°3x = 3×20 = 60°2x = 2×20 = 40°

10 times 10 times 100 divded by 1 times that again 10000

Answers

Answer:

100,000,000

Step-by-step explanation:

What is 2x-3 when x=6

Answers

Answer:

0

Step-by-step explanation:

I need answers to all of these and explanation as well. Thank you.

Answers

4) d

let's firstly convert the mixed fractions to improper fractions, and then proceed

[tex]\stackrel{mixed}{4\frac{3}{8}}\implies \cfrac{4\cdot 8+3}{8}\implies \stackrel{improper}{\cfrac{35}{8}}~\hfill \stackrel{mixed}{1\frac{1}{4}}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}} \\\\[-0.35em] ~\dotfill\\\\ -4\frac{3}{8}-\left( -1\frac{1}{4} \right)\implies -\cfrac{35}{8}-\left( -\cfrac{5}{4} \right)\implies -\cfrac{35}{8}+\cfrac{5}{4}\implies \cfrac{-(1)(35)~~ +~~(2)(5)}{\underset{\textit{using this as LCD}}{8}}[/tex]

[tex]\cfrac{-35+10}{8}\implies -\cfrac{25}{8}\implies -3\frac{1}{8}[/tex]

5)

hmmm we can pick any of those %, hmmm let's use 18%, keeping in mind that the whole amount is really the 100% and that's say "x", hmmm we know the 18% of "x" is $5.87.

[tex]\begin{array}{ccll} \%&amount\\ \cline{1-2} 18&5.87\\ 100&x \end{array}\implies \cfrac{18}{100}=\cfrac{5.87}{x}\implies \cfrac{9}{50}=\cfrac{5.87}{x} \\\\\\ 9x = 293.5\implies x = \cfrac{293.5}{9}\implies x = 32.6\overline{1}\qquad \textit{about 32 bucks and 61 cents}[/tex]

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