The area of a compact disc is 78.53 square centimeters. What is the radius of the disc? Use pi = 3.14

Answers

Answer 1

Answer:

r = 5 cm

Step-by-step explanation:

A = πr²

78.53 = (3.14)r²

divide by 3.14

25 = r²

r = ±5

r = 5


Related Questions

Barry gets hurt at work and must go on disabililty for 4 months. On disability, the pay that Barry receives is 60% of his normal net pay. Barry should be fine if he has a plan for _____.

Answers

Answer:

C. Managing his liquidity

Step-by-step explanation:

Complete question below:

Barry gets hurt at work and must go on disabililty for 4 months. On disability, the pay that Barry receives is 60% of his normal net pay. Barry should be fine if he has a plan for _____. a. financing b. managing his income c. managing his liquidity d. protecting his assets

Barry should be fine if he has a plan for managing his liquidity.

Liquidity can be defined as the ease with which an asset or security can be converted into ready cash without affecting its market price.

Barry would be fine if he has plan of converting his assets and securities into cash.

There are two types of liquidity

1. Market liquidity

2. Accounting liquidity

Cash is the most liquid of assets.

Answer:

C managing his liquidity.

Disclaimer: it may not be C for you but it is for sure "Managing his liquidity"

Step-by-step explanation:

Correct on Edg. 2021

R={(-3, -2), (-3, 0), (-1, 2), (1, 2)} Select all numbers that are in the domain

Answers

Answer: D: x = {-3, -1, 1}

Step-by-step explanation:

Domain refers to the x-values of the coordinates.

Coordinates are in the form (x, y) so we are looking for the values on the left side of the parenthesis.

(-3, -2) --> x = -3

(-3, 0)  --> x = -3  already listed above so no need to list it again

(-1, 2)  --> x = -1

(1, 2)  --> x = 1

the x-values are: -3, -1, & 1

so the domain is: x = {-3, -1, 1}

Answer:

Domain = -3, -1, 1.

Step-by-step explanation:

Let's find Domains of x-coordinates of the following.

1) (-3, -2) => (x = -3)

2) (-3, 0) => (x = -3)

3) (-1, 2) => (x = -1)

4) (1, 2) => (x = 1)

Hence, value of x = domain .

These x values lie on the x-coordinates .

I need the answer ASAP

Answers

Answer:

Hey there!

The answer is 2 1/4, which is 2.25

Let me know if you have any other questions!

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{2 \frac{1}{4} }}}}}[/tex]

Option C is the correct option.

Step-by-step explanation:

[tex] \sf{12 \frac{3}{8} \div 5 \frac{1}{2} }[/tex]

Convert mixed fraction into improper fraction

⇒[tex] \sf{ \frac{12 \times 8 + 3}{8} \div \frac{5 \times 2 + 1}{2} }[/tex]

⇒[tex] \sf{ \frac{99}{8} \div \frac{11}{2} }[/tex]

When any number or fraction is divided by a fraction , we multiply the dividend by reciprocal of the divisor

⇒[tex] \sf{ \frac{99}{8} \times \frac{2}{11} }[/tex]

To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term.

⇒[tex] \sf{ \frac{99 \times 2}{8 \times 11}} [/tex]

⇒[tex] \sf{ \frac{198}{88} }[/tex]

⇒[tex] \sf{ \frac{9}{4} }[/tex]

Convert the improper fraction into mixed fraction

⇒[tex] \sf{2 \frac{1}{4} }[/tex]

Hope I helped !

Best regards! :D

Find the distance between the points (0, 2) and (-9, -10).

Answers

Answer:

15

Step-by-step explanation:

OPTION 1:

We can use the distance formula to find the distance between these two points.

[tex]\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]

X2 is -9, X1 is 0, Y2 is -10, and Y1 is 2, so we can substitute inside the equation.

[tex]\sqrt{(-9-0)^2 + (-10-2)^2}\\\\\sqrt{9^2 + -12^2}\\\\\sqrt{81 + 144}\\\\\sqrt{225}\\\\15[/tex]

OPTION 2:

We can look at the change in x and the change in y and use the Pythagorean Theorem to find the missing length of the hypotenuse.

The x changes by 9, and the Y changes by 12.

[tex]a^2+b^2=c^2[/tex] is the Pythagorean Theorem. We know a and b, so we can substitute inside the equation.

[tex]9^2 + 12^2 = c^2\\\\81+144=c^2\\\\225=c^2\\\\c=15[/tex]

Hope this helped!

Answer: The distance is 15 units.

Step-by-step explanation:

Find the difference in the x and y coordinates and square them and add them together.

(0,2) and (-9,-10)  The x coordinates are 0 and -9  and the y coordinates are 2 and -10.

0-(-9) = 9

2-(-10) = 12

9^2 + 12^2 = d^2

  81 + 144 = d^2

   225 = d^2

d = [tex]\sqrt{225}[/tex]  

  d= 15

The perimeter of a rectangle can be found using the equation P=2L + 2W , where P is the perimeter, L is the length, and W is the width of the rectangle. Can the perimeter of the rectangle be 60 units when its 11 units and its length is 24 units?

Answers

Step-by-step explanation:

From the question

Perimeter = 2L + 2W

L = 24 units

W = 11 units

Substitute the values into the above formula

That's

P = 2(24) + 2(11)

P = 48 + 22

P = 70 units

Therefore the perimeter of the rectangle cannot be 60 units since the values when substituted into the above formula will give us 70 units

Hope this helps you

What is the probability of flipping a fair coin and having 3 consecutive heads?

Answers

If you do a tree diagram you can see more easily but the answer is 0.125 or 1/8 because the chance of you flipping a head the first time is 0.5 or 1/2 this is also the same for the second and third time then you just times them all together so 0.5 x 0.5 x 0.5 which is 0.125

Brainliest???

Please help what is domain of f?

Answers

Answer:

In domain: -2.

Not in domain: 2, 4.

Step-by-step explanation:

The domain of a square root function is all real numbers such that the expression under the square root is greater than or equal to 0.

So, set the expression under the square root greater than or equal to 0 and solve for x:

[tex]-2x\geq 0\\[/tex]

Divide both sides by -2. When dividing by a negative, we flip the sign:

[tex]x\leq 0[/tex]

So, the domain of the function is all real numbers such that x is greater than of less than 0.

-2 is less than 0. So, it is in the domain.

2 is not less than 0. So, it is not in the domain.

4 is not less than 0. So, it is also not in the domain.

*ANSWER FAST* x-1/x-2 + x-3/x-4 = 3 1/3 [x≠2 , x≠4] find

Answers

Answer:

x = 5, x = [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x-1}{x-2}[/tex] + [tex]\frac{x-3}{x-4}[/tex] = 3 [tex]\frac{1}{3}[/tex]

[tex]\frac{(x-1)(x-4)+(x-3)(x-2)}{(x-2)(x-4)}[/tex] = [tex]\frac{10}{3}[/tex]

[tex]\frac{x^2-5x+4+x^2-5x+6}{x^2-6x+8}[/tex] = [tex]\frac{10}{3}[/tex]

[tex]\frac{2x^2-10x+10}{x^2-6x+8}[/tex] = [tex]\frac{10}{3}[/tex]  ( cross- multiply )

10(x² - 6x + 8) = 3(2x² - 10x + 10) ← distribute both sides

10x² - 60x + 80 = 6x² - 30x + 30 ← subtract 6x² - 30x + 30 from both sides

4x² - 30x + 50 = 0 ( divide through by 2 )

2x² - 15x + 25 = 0 ← in standard form

(2x - 5)(x - 5) = 0 ← in factored form

Equate each factor to zero and solve for x

2x - 5 = 0 ⇒ 2x = 5 ⇒ x = [tex]\frac{5}{2}[/tex]

x - 5 = 0 ⇒ x = 5

Answer:

Step-by-step explanation:

x-1/x-2+x-3/x-4=31/3

3(x²-4x-x+4)+3(x²-2x-3x+6)=31(x²-4x-2x+8)

3(x²-5x+4)+3(x²-5x+6)=31(x²-6x+8)

3x²-15x+12+3x²-15x+18=31x²-186x+248

3x²+3x²-31x²-15x-15x+186x+12+18-248=0

-25x²+156x-218=0

-(25x²-156+218)=0

By using quadratic equation

x=

Find the derivative of f(x) = 7 divided by x at x = 1

Answers

If you know the rules for differentiation, then

[tex]f(x)=\dfrac7x\implies f'(x)=-\dfrac7{x^2}\implies f'(1)=-7[/tex]

If you don't, you can use the definition of the derivative to first find [tex]f'(x)[/tex]:

[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{\frac7{x+h}-\frac7x}h=\lim_{h\to0}\frac{7x-7(x+h)}{hx(x+h)}=-\lim_{h\to0}\frac7{x(x+h)}=-\dfrac7{x^2}[/tex]

Plug in [tex]x=1[/tex] to get the same result.

Or, you can directly compute the value of the derivative using the limit definition:

[tex]f'(1)=\displaystyle\lim_{x\to1}\frac{\frac7x-7}{x-1}=\lim_{x\to1}\frac{7(1-x)}{x(x-1)}=-\lim_{x\to1}\frac7x=-7[/tex]

y=-x+9; (-9, ),(1, ),(5, )

Answers

Answer: (-9,18) , (1,8)  and (5,4)

Step-by-step explanation:

If  the x coordinate is -9 then plot it into the equation and solve for y.

y = -1(-9) + 0

y = 9 + 9

y = 18

Same for the second one plot in the value of x and solve for y

y= -1(1) + 9

y = -1 + 9

y = 8

Again same for the last one

y = -1(5) + 9

y = -5 + 9

y = 4

Find the limit of the function by using direct substitution. Limit as x approaches zero of quantity x squared plus ten. Answer Choices: A) -10 B) Does not exist C) 0 D) 10

Answers

Answer:

D

Step-by-step explanation:

So we are given the limit:

[tex]\lim_{x \to 0} (x^2+10)[/tex]

To figure out this limit, we can use direct substitution. Simply substitute 0 for x and then simplify. Therefore:

[tex]\lim_{x \to 0} (x^2+10)\\=(0)^2+10\\=0+10\\=10[/tex]

Therefore, the limit equals 10.

not so good with mathematics

Answers

Answer:

2n-7

Step-by-step explanation:

the product of 2 and a number is 2 times a number, so number is n. (this is multiplicaiton) it then becomes 2n. 7 less than that is 2n-7. (If it's less than, it goes after the variables 2n)

Explanation:

7 less --> -7

product of 2 and a number --> 2x

Answer:

2x-7

I hope this Helps!!

A bank is offering 5.5% simple interest on a savings account. If you deposit $15000, how much interest will you earn in six year? What is this question asking for? What Kinda Interest

Answers

Answer:

You will earn $4,950.

Step-by-step explanation:

To find the Simple Interest:

S.I = P × R × T/100

S.I = P × R × T/100S.I = 15,000 × 5.5 × 6/100

S.I = P × R × T/100S.I = 15,000 × 5.5 × 6/100S.I = 150 × 5.5 × 6

S.I = P × R × T/100S.I = 15,000 × 5.5 × 6/100S.I = 150 × 5.5 × 6S.I = $4,950

You borrow bookcases like the one shown sis play 943 books at a book sale you plan to put 22 books on each shelf no books will be on the top but case you feel you will feel the shelves of each bookcase in order starting with the top shelf how many books are on the third shelf of the last bookcase

Answers

Answer: 9 bookcases

Step-by-step explanation:

943 / 22 = 42.9 = 43 shelves

The number of books that are on the third shelf of the last bookcase is 43/5 = 8.6 = 9 bookcases

There are nine bookcases on the third self.

A farmer saved $250 in four months. Which unit rate represents the farmer's savings? $1000 per year $1000 per month $750 per year $750 per month

Answers

Answer:

$750 per year

Step-by-step explanation:

The farmer saves $250 in four months.  You need to find out how much he makes in a year.  There are 12 months in a year.  Multiply the amount he saves by 3.

$250 × 3 = $750

The farmer saves $750 per year.

-16+5n=-7(-6+8n)+3 um help please

Answers

Answer:

34n=42?

Step-by-step explanation

-16+5n=-7(-6+8n)+3

1.) multiply

-16+5n=42+-56n+3

2.) add like terms

-16+5n=-45+-56n

3.) find lower number, and add the opposite

29n+5n=42

4.) add n's

34n=42 ?

Answer:

n = 1

Step-by-step explanation:

-16 + 5n = -7(-6 + 8n) + 3

Expand the terms in the bracket

That's

- 16 + 5n = 42 - 56n + 3

Group like terms

That's

Send the constants to the right side of the equation and those with variables to the left side

We have

5n + 56n = 16 + 42 + 3

Simplify

61n = 61

Divide both sides by 61

We have the final answer as

n = 1

Hope this helps you

Find the value of x..

Answers

Answer:

x = 1

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

5x - (x + 1) = 5 - 2x

Step 2: Distribute

5x - x - 1 = 5 - 2x

Step 3: Combine like terms

4x - 1 = 5 - 2x

Step 5: Add 2x on both sides

6x - 1 = 5

Step 6: Add 1 on both sides

6x = 6

Step 7: Divide both sides by 6

x = 1

Picture attached-please help

How many lines of symmetry does the shape have?
0
1
2
4

Answers

Answer:

Step-by-step explanation:

Answer:

2 -

Step-by-step explanation:

if u flip the shape to make a diamond

Find the sum of the first five terms using the geometric series formula for the sequence left curly bracket 1 half comma space minus 1 comma 2 comma negative 4 comma... right curly bracket

Answers

Answer:

[tex]\bold{\dfrac{11}{2 }}[/tex]

Step-by-step explanation:

Given the geometric series:

[tex]\{\dfrac{1}2, -1, 2, -4, ..... \}[/tex]

To find:

Sum of series upto 5 terms using the geometric series formula = ?

Solution:

Formula for sum of a n terms of a geometric series is given as:

[tex]S_n=\dfrac{a(1-r^n)}{1-r} \ \{r<1 \}[/tex]

[tex]a[/tex] is the first term of the geometric series

[tex]r[/tex] is the common ratio between each term (2nd term divided by 1st term or 3rd term divided by 2nd term ..... ).

Here:

[tex]a = \dfrac{1}{2}[/tex]

[tex]r = \dfrac{-1}{\dfrac{1}{2}} = -2[/tex]

[tex]n=5[/tex]

So, applying the formula for given values:

[tex]S_5=\dfrac{\dfrac{1}2(1-(-2)^5)}{1-(-2)} \\\Rightarrow S_5=\dfrac{1-(-32)}{2 \times 3} \\\Rightarrow S_5=\dfrac{1+32}{6} \\\Rightarrow S_5=\dfrac{33}{6} \\\Rightarrow \bold{S_5=\dfrac{11}{2}}[/tex]

So, the answer is

[tex]\bold{\dfrac{11}{2 }}[/tex]

if two straight lines intersect each other in such a way that one of the angles formed measures 90 degree show that each of the remaining angles measures 90 degree. Pls tell i need answer till 11 am today ​

Answers

I hope this helps in answering your question! If you have any inquiries to the solution, feel free to leave a comment!

Answer:

[tex]\large \boxed{\mathrm{view \ explanation}}[/tex]

Step-by-step explanation:

∠BED is measuring 90 degrees (right angle).

The opposite angle of angle ∠BED will also be 90 degrees because of vertical angles.

∠AEC is measuring 90 degrees (right angle).

The angles on a line add up to 180 degrees.

∠AEC and ∠AEB add up to 180 degrees.

90 + ∠AEB = 180

∠AEB = 90

∠AEB is measuring 90 degrees (right angle).

Angles in a circle around the center add up to 360 degrees.

∠BED + ∠AEC + ∠AEB + ∠CED = 360

90 + 90 + 90 + ∠CED = 360

∠CED = 90

∠CED is measuring 90 degrees (right angle).

Simplify the following expression. (3m/4-2)+8

A. 8m/4
B. 9m/4
C. 3m+24/4
D. 3m+28/4

Answers

Answer:

C. 3m+24/4

Step-by-step explanation:

Given that (3m/4 - 2) + 8

Then we solve

= (3m/4 - 8/4) + 8

= (3m - 8)/4 + 32/4

= (3m - 8 + 32)/4

= 3m + 24 /4

Therefore the answer is C

Alternatively, we can simplify the equation by

Given that, the equation is ( 3m/4 - 2 ) + 8

We then remove parenthesis

= 3m/4 - 2 + 8

= 3m/4 + 6

= 3m/4 + 24/4

Then add the numerators and leave the denominator

= 3m + 24 /4

This also equals option C.

Hence, it can be concluded that, the correct answer is Option C: (3m + 24)/4

find the equation of the line perpendicular to the line x=9 that passes through the point (9,-1)

Answers

Answer:

y = -1

Step-by-step explanation:

Notice that the line x = 9 is a vertical line, therefore a line perpendicular to it will be a horizontal line of the form y = constant number.

Since we want it to go through the point (9, -1), then we know that that y value needs to be "-1", and the equation of the line will be given by the expression:

y = -1

Answer:

y =1

Step-by-step explanation:

[tex](9,-1)=(x ,y)\\\\x =m_1 =9\\m_2 = \frac{-1}{m_1} = \frac{-1}{9} = -\frac{1}{9} \\\\Substitute \:the \:values\:into ;\\y =mx+b\\\\-1 =-\frac{1}{9} (9) +b\\-1 = -1+b\\-1+1 = b\\0 =b\\m= 1 \\Substitute\:the\:new\:values\:into ;\\y = mx+b\\y = 1 x +0\\ y= 1[/tex]

HELP ASAP PLEASE!!!!!!!!!!!

Answers

Answer:

A.  1.6 m/s²

Step-by-step explanation:

Use the formula given and solve for g.  Use the length for L and the time for T.

T = 2π√(L/g)

T/2π = L/g

(T/2π)² = L/g

g = L/((T/2π)²)

g = 1/((4.9/2π)²)

g = 1/(0.7799)²

g = 1/0.6082

g = 1.64

Help!! I don’t know

Answers

Answer:

63 = x

Step-by-step explanation:

We know that a triangle's angles always add up to 180º. Since Line DC is a 180º line, we can subtract 128 from 180.

180 - 128 = 52º

The angle next to A is 52º.

Then, we add 52 and 65 to get the sum of the two angles.

52 + 65 = 117

Finally, subtract 117 from 180 to get our x.

180 - 117 = 63

x = 63

To check, add all the angle values together and if they equal to 180, your answer is correct.

63 + 52 + 65 = 180. Correct!

Answer:  63

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

Explanation:

Through the remote interior angle theorem, adding the remote interior angles x and 65 results in the exterior angle 128. Note how the exterior angle is not adjacent to any of the interior angles (which is where the "remote" portion comes from).

x+65 = 128

x+65-65 = 128-65

x = 63

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

A longer method involves finding interior angle BAC using the given exterior angle

angle BAC = 180-(exterior angle DAB)

angle BAC = 180-128

angle BAC = 52

So far, the triangle BAC has two known interior angles 65 and 52. The missing angle x adds onto the previous two getting us 180

x+65+52 = 180

x+117 = 180

x = 180-117

x = 63

We get to the same x value.

Please answer this question I will mark you the brainlest
please ............☺️☺️​

Answers

Answer:

Hope it helps u .

mark as brainlist

The answer is A
Explanation:
Since it a parallelogram angle P and R have the same value. Since the parallelogram is split into 2 triangles all you have to do is find one triangle then you can find the values on the other. The way you do this is since a triangle is 180 degrees you have to subtract 75+60 from 180 which will give you the last angle you need which is 45. Then you plug in the rest on the other side.

Write 1000 in words. TQVM pls help

Answers

Thousand

Please Mark As Brainliest

Answer:

One thousand

Step-by-step explanation:

Name an angle that is a corresponding angle to

Answers

Answer:

The corresponding angle of <POQ is<QTS.The corresponding angle of <OQR is <QTV.The corresponding angle of <PQT is <STV.The corresponding angle of <RQT is <UTV.

PLEASE HELP ME I NEED IT NOW PLEASE

Answers

Answer:(6,-7)

Step-by-step explanation:

you just flip in over the x axis so the only thing changing is y lol

the sum of three consecutive integers is 330 what is the smallest of these integers?? will give brainliest

Answers

Answer:

109

Step-by-step explanation:

Three consecutive integers:

x, x+1, x+2

Sum of them:

x+(x+1)+(x+2) = 3303x + 3 = 3303x= 327x= 327/3x= 109

The smallest integer out of three is 109

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

3 consecutive integers = x+(x+1)+(x+2) or 3x+3 (x is the smallest number)

(Consecutive means one after another)

So 3x+3 = 330.

Now subtract 3 from both sides.

(3x-3)=3x

(330-3)=327

The left side is 3x and the right side is 327.

The equation now is 3x=327.

Now divide each side by 3 (so x is isolated)

3x÷3=x

327÷3=109

The left side is x and the right side is 109.

The final equation is x=109.

Since x is the smallest of these integers we don't have to do anything else.

Okay, so let's check the answer now. 109+110+111=330.

So the smallest of the 3 consecutive numbers is 109.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

If there are 26 students in each third-grade class and 3 third-grade classes in the school, how many students will
attend an assembly for third graders if a total of 4 students are absent?
students
Intro
✓ Done​

Answers

Answer:

muy buena pregunta es: #$#$!×€4\

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