Find the area of a circle with radius, r = 60cm. Give your answer rounded to 3 SF.

Answers

Answer 1

The area of the circle will be equal to 11309.733 square centimetres.

What is an area?

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.

The area of the circle will be calculated by the following formula:-

Area = πr²

Area = π x ( 60 x 60 )

Area = 3.14 x 60 x 60

Area = 11309.733 square centimeters.

Therefore the area of the circle will be equal to 11309.733 square centimetres.

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Related Questions

what percentage of 2m is 40cm​

Answers

Answer:

20%

Step-by-step explanation:

the units of measure must be the same, so

2m = 2 × 100 cm = 200 cm

then

[tex]\frac{40}{200}[/tex] × 100%

= 0.2 × 100%

= 20%

Answer:

20%

Step-by-step explanation:

2 m = 200 cm

We are required to find: what percentage of 2m is 40cm.

Required percentage [tex]=\frac{40}{200}\times 100[/tex]

Required percentage [tex]=\frac{4000}{200}[/tex]

Required percentage [tex]=20%[/tex]

how to Solve for x. -1/2 (x + 2) + 1 1/2 x = 3 ​

Answers

hope this helps :)))

How do I complete this?

Answers

Answer + Step-by-step explanation:

CE bisects AB

CE ⊥ AB

Then

CE is the perpendicular bisector of AB.

Therefore

CA = CB and DA = DB

…………………………………

we have :

CA = CB

DA = DB

CD is a common side of the two triangles ACD and BCD

Hence , ΔACD ≅ ΔBCD

⇒ ∠CAD ≅ ∠CBD.

7x^2+3y^2+12x+2y-6=0 Help me find the value of a,b,c and the discriminant number

Answers

Answer:

b o a h d

Step-by-step explanation:

1*5 3%9 46% &45 that is the answer

2a - (a + 3) I need Answers

Answers

Answer:

a-3

Step-by-step explanation:

[tex]2a-(a+3)\\= 2a - a - 3\\= a - 3[/tex]

Answer:

a-3

Step-by-step explanation:

2a - (a+3)

removing bracket

2a -a-3

a-3

final answer

a-3

PLS HELP ASAP!… WILL MARK BRAINLIEST

Which of the following are exterior angles? Check all that apply.

Answers

The exterior angles in the given triangle are angles 4 and 5.

What are the exterior angles?

The given shape is a triangle. A triangle is a three-sided polygon that has angles that sum up to 180 degrees. The exterior angle is the angle that is formed when a line is extended from the next side and the other side of the triangle. Simply put, it is the angle that is not inside the triangle.

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Is anyone able to solve this equation? It’s urgent

Answers

Answer:

1500

Step-by-step explanation:

You can find the complete solution in the given attachment

I am 6 foot and 4 inches what is my height in metres?12 inches=to 1 foot and 1 foot=to 30 cm

Answers

Answer:

1.9 m

Step-by-step explanation:

1 ft = 30 cm (approximately)

12 in. = 1 ft

100 cm = 1 m

Find the height in ft:

4 in. / 12 in/ft = 1/3 ft

6 ft 4 in. = 6 ft + 1/3 ft = 6 1/3 ft

Convert ft to cm:

6 1/3 ft × 30 cm/ft = 190 cm

Convert cm to m:

190 cm × 1 m / 100 cm = 1.9 m

Please help me with my math

Answers

the answer to this is A ! trust

Jessie is painting a cardboard box for a school project and needs to know much paint she needs to cover the box.
6n
10 in.

Answers

Answer:

incomplete question

Step-by-step explanation:

in order to calculate for the surface area of a rectangular box we would need 3 measurements:
length
width
height

you only provided 2

What is the solution to the equation |x − 4| = 17?

Answers

[tex]~~~~~~|x-4| = 17\\\\\implies x -4 = 17~~~~ \text{or}~~~~~ x -4 = -17\\\\\implies x = 17+4~~~~\text{or}~~~~~ x = -17+4\\\\\implies x = 21~~~~~~~~~\text{or}~~~~~x = -13[/tex]

Ali takes a full-time position as a makeup artist in Atlanta. Her starting salary is $29,000. Her taxes are 28%. What is her net monthly income?
a. $2,416
b. $3,840
c. $2,088
d. $1,740
I couldn't find the answer to this question when I really needed it, so I did the work myself and got D as the answer. I ended up getting it right because you divide 29,000 by 12, then multiply the answer (2416) by 28%, which gives you the answer, D, 1740. Hope that helped!

Answers

Answer:

  d.  $1,740

Step-by-step explanation:

The annual after-tax salary is found by subtracting the tax from the salary. The tax is found by multiplying the tax rate by the salary. The monthly after-tax income is 1/12 of the annual after-tax income.

__

steps

  annual tax = 0.28 × $29,000 = $8,120

  annual take-home pay = $29,000 -8,120 = $20,880

  monthly take-home pay = annual pay / months per year

  = $20,880 / 12 = $1,740 . . . . net monthly income

_____

Additional comment

The net pay will be (1 - 0.28) = 0.72 times the nominal salary. The monthly pay will be 1/12 of the annual pay. These combined factors give a monthly net pay of (0.72)(1/12) = 0.06 times the annual pay.

  0.06 × $29000 = 6×$290 = $1740

What is the sum of the first 40 positive odd integers?

Answers

Answer:

1600

Step-by-step explanation:

[tex]\text{Number of terms}, ~n = 40\\\\\text{Sum of n odd integers} = n^2 = 40^2 = 1600[/tex]

Which of the following functions is graphed below?

Answers

Answer:

A.

Step-by-step explanation:

the correct answer is A. y=|x-2|+3.

For more details see the attachment.

Determine the cardinality of each set.
(a) {5, 1, 4, {6, 7, 8, ...}}
(b) {ø}
(c) {{{6, 7}}}

Answers

The cardinality of a set refers to the number of elements in the set. It is found by counting  the elements in the set.

What is cardinality of a set?

The cardinality of a set refers to the number of elements in the set. To obtain the cardinality, we have to count the elements in the set.

a) There are 6 elements in this set hence the cardinality is 6.

b) There is only one element in the set hence its cardinality is 1.

c) There are two elements in the set hence the cardinality is 2.

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What is the total number of different 9-letter arrangements that can
be formed using the letters in the word Projector?

Answers

f is it67 17 and 9 and 78

Pls help. Answer the question in the picture. I will give 5 stars, a thanks, and brainliest!
*20 points*

Answers

Answer:

1/5x + 2

Step-by-step explanation:

hope this helps

Use the functions a(x) = 7x + 10 and b(x) = 12x - 18 to complete the function operations listed below. Part A: Find (a + b)(x). Show your work. (8 points) Part B: Find (a - b) (x). Show your work. (8 points) Part C: Find (a - b)(x). Show your work. (9 points) Part D: Find a(b(x)]. Show your work. (10 points)​

Answers

a) [tex](a+b)(x)=a(x)+b(x)=7x+10+12x-18=\boxed{19x-8}\\[/tex]

b) [tex](a-b)(x)=a(x)-b(x)=(7x+10)-(12x-18)=7x+10-12x+18=\boxed{-5x+28}[/tex]

c) [tex](a-b)(x)=a(x)-b(x)=(7x+10)-(12x-18)=7x+10-12x+18=\boxed{-5x+28}[/tex]

d) [tex]a(b(x))=a(12x-18)=7(12x-18)+10=84x-126+10=\boxed{84x-116}[/tex]

[tex]-3/z+7/4z=5/z-25[/tex]

Answers

Answer:

z = 1/4

Step-by-step explanation:

See attached image

Answer:

z = 5

Step-by-step explanation:

simplify

5/(z-25) first

turning it into

((0 - 3/z) + 7/4z) - 5/(z - 25) = 0

then simplify 7/4z

((0 - 3/z) + 7/4z) - 5/(z-25) = 0

when the fractions denominator is 0 then the numerator must be 0

turning the equation into

-25  *  (z - 5)  = 0

solve

-25   =  0

something that is not zero cannot equal zero.

z - 5 = 0

5 - 5 = 0

z = 5

hope this helps:)

y is directly proportional to x 2 . If y = 12 when x = 2 find x when y = 300

Answers

y ——> x 2

12 —-> 2 power 2

300 —-> ?

300 x 4 over 12 = 100

100= x squared

square root 100 = x = 10

I need help with 7 and 4 and 9 also 10


I will give the most higher points I got

Answers

7. 9/5 = 1 4/5
*When multiplying with a whole number u can turn it into a fraction by putting a one under it
So 3/1 times 3/5 = 9/5
*just multiply straight across

4. 2/1 times 1/4 = 2/4 = THEN SIMPLIFY = 1/2

9. 3/4 times 3/1 (cups)
*multiply straight across
9/4 = 2 1/4 (cups of sugar)
So she uses less than 3 cups to make all 3 loaves

* 10. Sorry I can’t tell if it says 5/6 on both of them
If it says 5/6 on both of them then the answer is obvious and she worked more than that over the course of 2 days

* 10. It must be a 5/9 on the second one
So if so
5/6 times 2/1 (days)
10/6 then we need to multiply the 6 denominator (bottom of the fraction) with something to = 9 denominator
9 divided by 6 = 1.5
10/6 times 1.5 for both the numerator (top) and denominator (bottom)
= 15/9 (simplified 1 6/9)
This one she exercised more than 5/9

what is the answer to this

Answers

Step-by-step explanation:

[tex]m {}^{2} + 5 \\ = 9 {}^{2} + 5 \: \: \: \: \: \: \\ = 9 \times 9 + 5 \\ = 81 + 5 \: \: \: \: \: \: \: \\ = 86 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

hope it will be helpful

Answer:

86

Step-by-step explanation:

Evaluate the expression:

 Plugin the value of m, in the expression

m² + 5 = 9² + 5

           = 81 + 5

            = 86

What is the directrix of the parabola defined by `(1)/(4)(y + 3) = (x − 2)^2`?

Answers

The directrix of the parabola is [tex]y = \frac {-49}{16}[/tex]

How to determine the equation of the directrix?

The parabola equation is given as:

[tex]\frac 14(y + 3) = (x -2)^2[/tex]

A parabola is represented as:

[tex]4p(y - k) =(x -h)^2[/tex]

By comparing both equations, we have:

4p = 1/4 ==> p = 1/16

-k= 3 ==> k = -3

The directrix is represented as:

y = k - p

So, we have:

[tex]y = -3 - \frac 1{16}[/tex]

Take the LCM

[tex]y = \frac {-16 * 3- 1}{16}[/tex]

Evaluate

[tex]y = \frac {-49}{16}[/tex]

Hence, the directrix of the parabola is [tex]y = \frac {-49}{16}[/tex]

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A rectangle measures 12 m by 14 m. If the width is decreased by 3 m and the length is increased by 4 m, how much would the area change?

Answers

Answer:

6 m²

Step-by-step explanation:

Original area :

12 × 14 = 168 m²

New area :

(12-3) × (14+4) =  

9 × 18 = 162 m²

168 - 162 = 6

Area would change by 6 m²

the number of keys on the keyring minus 2

Answers

Translating the given phrase into a variable expression is equal to k - 2.

What is a variable expression?

A variable expression refers to a mathematical equation which can be used to show the relationship that exist between a numerical quantity and a variable.

Next, we would translate the given phrase into a variable expression as follows:

Let the number of keys on the keyring be k.

Therefore, the variable expression is equal to k - 2.

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Complete Question:

Translate the phrase into a variable expression. Use the letter k to name the variable. If necessary, use the asterisk (*) for multiplication and the slash (/) for division.

The number of keys on the keyring minus 2?

Find the slope of the line containing the pair of points.
(2, -9) and (12,6)

Answers

Answer:

slope = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, - 9 ) and (x₂, y₂ ) = (12, 6 )

m = [tex]\frac{6-(-9)}{12-2}[/tex] = [tex]\frac{6+9}{10}[/tex] = [tex]\frac{15}{10}[/tex] = [tex]\frac{3}{2}[/tex]

What are the coordinates of point F?

Answers

Answer:

C. 4, -2 1/2

Step-by-step explanation:

(x,y)

its kinda easy

The answer is A (4,-2 1/2) :)

describe in detail how you would create a number line with the following points:3, 2.25, the oppisite of 4 and- (-1 1/2). please be sure to describe on which tick marks each point is plotted and how many tick marks are between each iteger. it may help for you to draw this number line by hand on a sheet of paper pls answer NO WRONG ANSWERES

Answers

Answer:

here man that's the answer

What’s the answer to the picture I took?

Answers

Answer:

y = - x

Step-by-step explanation:

From the given table:-

( x_1,x_2): (5,-5)

( y_1,y_2): (6,-6)

1) Let's find the slope (m):-

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{ - 6( - 5)}{6 - 5} = \frac{ - 6 + 5}{1} = \frac{ - 1}{1} = - 1[/tex]

2) Substitute x_1= 5, y_1=-5 and m=-1 into y-y_1=m(x-x_1)

[tex]y - ( - 5) = - 1(x - 5)[/tex]

[tex]y + 5 = - x + 5[/tex]

[tex]y = - x + 5 - 5[/tex]

[tex]y = - x[/tex]

Erica earned a total of $67,250 last year from her two jobs. The amount she earned from her job at the store was $1,250 more than three times the amount she earned from her job at the college. How much did she earn (in dollars) from her job at the college?

Answers

Step-by-step explanation:

x = earnings from the store

y = earnings from the college

x + y = 67,250

x = 3y + 1,250

now we use the identity of the second equation in the first equation :

(3y + 1,250) + y = 67,250

4y = 66,000

y = $16,500

x = 3y + 1,250 = 3×16,500 + 1,250 = 49,500 + 1,250 =

= $50,750

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