work out the area of the semicircle with a radius of 18cm, take π to be 3.142 and write down all the digits given by the calculator

Answers

Answer 1

Answer ?.???? ?.???. ?????

Answer 2

Area of the semicircle = 509.004 cm²

What is semicircle?

When an arc of a circle with its endpoints on the diameter cuts a circle into two equal halves, those halves are called semicircles.

Given,

radius of semicircle = 18cm

π = 3.142

Area of the semicircle = πr²/2

                                     = 3.142 × 18×18/2

                                     = 3.142 × 18×9

                                     = 56.556×9

                                     = 509.004 cm²

Hence, 509.004 cm² is the area of the semicircle.

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Related Questions

Solve 2x2 + 12x = 10. (1 point) Select one: a. −3 ± square root 14 b. −3 ± 2 square root 2 c. −3 ± square root 19 d. −3 ± square root 29

Answers

Answer:

2x2−12x+7=0

a≠1,a=2 so divide through by 2

22x2−122x+72=02

which gives us

x2−6x+72=0

Step-by-step explanation:

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Which description matches the graph of the inequality y ≤ 2x – 1?
A.a shaded region below a solid boundary line
B.a shaded region above a dashed boundary line
C.a shaded region below a dashed boundary line
D.a shaded region above a solid boundary line

Answers

Answer:

The correct option is;

A. a shaded region below a solid boundary line

Step-by-step explanation:

The parameters given are;

The equation, y ≤ 2x - 1

We compare the above equation with the equation for a straight line, y = m·x + c to get

The slope m = 2

The y-intercept c = -1

Therefore, we have;

The graph of an inequality of a y value which is less than or equal to a function is represented by a solid line having the shaded region, which shows the area that satisfies the inequality, shaded below the line

Which gives the correct option as A. A shaded region below a solid boundary line.

which of the following is the correct graph of the linear equation below? y+2=1/5(x-1)

Answers

Answer:

Step-by-step explanation:

Every _____ tessellates

Answers

Answer:

Every hexagon tessellates.

Step-by-step explanation:

Hexagons always tessellates when perfectly combined and aligned especially when the x sides and the y sides are parallel to each other.

Probability of Tournament Winners
Try it
Which statements are true? Check all that apply.
A local chess tournament gives medals for first, second,
and third place. There are five students from Midland
High, three students from Leasburg High, and six
students from Cassville High competing in the
tournament.
Order matters in this scenario.
There are 2,184 ways to select a first-place,
second-place, and third-place winner.
The probability that all three winners are from
Midland High is 0.0275.
The probability that all three winners are from
Leasburg High is 0.0046.
The probability that all three winners are from
Cassville High is 0.0549

Answers

Answer:

The answer is A B C and E

Step-by-step explanation:

I just took it

The statements are true A, B, C, and E.

What is probability?

The chances of an event occurring are defined by probability. Probability has several uses in games, in business to create probability-based forecasts,

The given data in the problem is;

No of the  students from Midland High = 5

No of the students from Leasburg High= 3

No the students from Cassville High = 6

The statements that are true will be;

A.Order matters in this scenario.

B.There are 2,184 ways to select a first-place,second-place, and third-place winner.

C.The probability that all three winners are from Midland High is 0.0275.

E.The probability that all three winners are from Cassville High is 0.0549

Hence the statements are true A, B, C, and E.

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Evaluate 27% of £396.58

Answers

Answer: £107.08

Step-by-step explanation:

27% of 396.58

= 396.58 x 0.27

= 107.08

Hellpppp
What are the coordinates of point K” on the final image?
(-7, 4)
(-4,-7)
(4,-7)
(4,7)

Answers

Answer:the answer I’m is C trust me

Step-by-step explanation: I just took the test

Answer:(-4,7)

Step-by-step explanation:

Edg 2021

Sandy borrowed 6709 R.O from a bank to buy a piece of land. If the bank charges 12 1/3 % compounded each two months, what amount will she have to pay after 2 years and half? Also find the interest paid by her.

Answers

Answer:

she is paying back 9112.5 R.O

Interest paid back is 2,403.95

Step-by-step explanation:

To find the amount, we use the compound interest formula.

This is given as;

A = I( 1 + r/n)^nt

where A is the amount we are trying to calculate

I is money borrowed = 6709

r is the interest rate = 12 1/3% = 37/3 = 12.33% which is same as 12.33/100 = 0.1233

n is the number of times interest is compounded. We have 15 2 months in 2 and a half years

t is the number of years = 2.5

Plugging these values, we have;

A = 6709(1 + 0.1233/15)^(15)(2.5)

A = 6709(1.0082)^(37.5)

A = 9112.95 R.O

Interest is amount - principal( money borrowed)

9112.95 - 6709 = 2403.95

Pavel and Katie share some sweets in the ratio 3: 8.
Katie gets 32 sweets.
How many sweets does Pavel get?​

Answers

Answer:

Step-by-step explanation:

Katie gets 32/8 = 4 lots of sweets

Pavel gets 4 lots x 3 = 12 sweets

Simplify each expression involving signed numbers.
-7 -2 = -9
12 + (-4) = 8
-8(-6) =
18/-3=
PLEASE HURRY! Thanks!

Answers

Answer:

-9=-9

8=8

-48=-48 or -8(-6)=-48

-6=-6 or 18/-3=-6

Step-by-step explanation:

Answer:

Simplify each expression involving signed numbers.

-7 – 2 =

✔ –9

12 + (-4) =

✔ 8

-8(-6) =

✔ 48

StartFraction 18 over negative 3 EndFraction =

✔ –6

can I have some brainiest

Step-by-step explanation:

Holly, the author, has written 160 pages of her next book. She needs to write a minimum of 20 pages per day to complete the expected 380 page book. Which inequality below expresses this situation?

Answers

Answer:

days  ≤ 6

Step-by-step explanation:

she gas 160 pages out of the 380 pages, so she needs to write other:

380 - 160 = 120 pages.

If she writes a minimum of 20 pages per day, then the maximum number of days in which she will finish the book is:

20*d = 120

d = 120/20 = 6

so d is the number of days, and we have that:

d ≤ 6.

The equality is when she only writhes 20 pages per day, and if she writes more than that, then the number of days needed will be smaller than 6.

Use long division to find the quotient below.
(x^2 + 17x+72) - (x+8)

Answers

Answer:

x + 9

Step-by-step explanation:

(x²+17x+72)/(x+8)

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

(x2 + 8x + 9x + 72)= (x + 9)(x+8)

(x²+17x+72)/(x+8) =  x + 9

Answer:

IT IS D.

Step-by-step explanation:

(x2 + 8x + 9x + 72)= (x + 9)(x+8)

(x²+17x+72)/(x+8) =  x + 9

HAVE A NICE DAY! :)))

P.S PLEASE PICK ME AS BRAINLIEST

THX!

Someone plsss plss help me ima cryy!!!

Answers

Answer:

1) Business costs less. It costs $8 less.

2) they cost the same at 14 HCF both equaling $24. Residential would cost more if it goes over 14 HCF per month.

andy has 310$ in his account. each week,w, he withdraws 30$ for his expenses. which expression could be use if he wanted to find out how much money he had left after 8 weeks?

Answers

Answer:

The expression is (310-30)^8

Step-by-step explanation:

ezer lol lol.    

x,y and z are three consecutive even numbers if y^2 - 2 = 2x + 5Z find x,y and z​

Answers

Answer:

6, 8, 10

Step-by-step explanation:

x y and z are three consecutive even numbers

it means that you can write y = x + 2

and z = y + 2 = x + 4

so

  [tex]y^2-2=2x+5z\\ <=> (x+2)^2-2=2x+5(x+4)\\<=>x^2+4x+4-2=2x+5x+20[/tex]

  [tex]<=> x^2+4x+2=7x+20\\<=>x^2+4x+2-7x-20=0\\<=>x^2-3x-18=0\\<=>(x+3)(x-6)=0<=>(x=-3\ or \ x=6)[/tex]

so the solutions are

x = 6

y = 8

x = 10

Answer:

6, 8, 10

Step-by-step explanation:

x, y, z

y=x+2, z= x+4

y²- 2= 2x+5z(x+2)²- 2= 2x+ 5(x+4)x²+4x+4-2= 2x+5x+20x²-3x-18=0

Solving the quadratic equation we get:

x=6, then y= 8, z= 10x= -3 discarded as odd number

Find the domain for the rational function f of x equals quantity x plus 4 over quantity 3 times x minus 5. negative infinity to negative five thirds and negative five thirds to infinity negative infinity to five thirds and five thirds to infinity (−∞, −4)( −4, ∞) (−∞, 4)(4, ∞)

Answers

Answer:

(-∞, 5/3) and (5/3,∞)

Step-by-step explanation:

f(x) = (x+4)/ (3x-5)

The domain is the values that x can be

We have one discontinuity or value the x cannot be

The denominator cannot be zero

3x-5 ≠0

3x≠5

x ≠5/3

The domain is all real numbers but x = 5/3

(-∞, 5/3) and (5/3,∞)

please solve
thankyou in advance x

Answers

Answer:

For the first one,

x=6 and y=16

Step-by-step explanation:

If I think of any more then I will tell you

Name the plane represented by the front of the box.

Answers

Answer:

FBC

Step-by-step explanation:

It's the only one at the front of the box

Answer:

FBC

Step-by-step explanation:

thats what it says on my sheet

What is the domain of the step function f(x) = ⌈2x⌉ – 1?

Answers

Answer:

believe its 2x cause 1 was wrong

Circle O is shown. Line segments A O and B O are radii. The length of O B is 16 inches. Angle A O B has a measure of StartFraction pi Over 4 EndFraction
In circle O, angle AOB measures radians.

What is the length of arc AB?

π in.

Answers

If you know the angle in radians, then the length of the arc is

(measure of the angle in radians) x (radius of the circle) .

In this circle, we know the angle and we know the radius.

Arc AB = ( π/4) x (16")

Arc AB = 4π inches

Arc AB =  about 12.566... inches

Answer:

6 pie correct on edge

Step-by-step explanation:

A circular pond has a radius of 6 feet. What is the area of that pond?

Answers

Answer:

radius x radius x pi = area of circle

6 x 6 = 36

36 x 3.14 = 113.04

113.04

Hope this helps

Step-by-step explanation:

Simplify
(y + 1)
(y + 1)

Answers

Answer:

That is already at its simplest form.

Step-by-step explanation:

(y + 1)(y + 1) or (y + 1)² is the factored form of y² + 2y + 1. You cannot break it down any further after you reached binomials after you factor unless you are solving for x.

The equation of a circle is (x - 3)^2 + (y + 2)^2 = 25. The point (8, -2) is on the circle. What is the equation of the line that is tangent to the circle at (8, -2)?

Answers

Answer:

x = 8

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

We know that the line which is tangent at a point on a circle is perpendicular to the line joining the center of the circle and that point.

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Which point gives the vertex of f(x) = x2 – 4x + 21? Question 1 options: (–2,–17) (2,17) (–2,17) (2,–17)

Answers

Answer:

[tex](2, 17)[/tex]

Step-by-step explanation:

A parabola has the general function: [tex]f(x)=ax^2+bx+c[/tex]

In this case we have: [tex]f(x) = x^2 - 4x + 21[/tex]

where

[tex]a=1[/tex]

[tex]b=-4[/tex]

[tex]c=21[/tex]

the vertex of a parabola is in the coordinates:

[tex](\frac{-b}{2a}, \frac{-b^2+4ac}{4a} )[/tex]

substituting all of the known values, we get the following:

[tex](\frac{-(-4)}{2(1)} ,\frac{-(-4)^2+4(1)(21)}{4(1)} )\\\\(\frac{4}{2} ,\frac{-16+84}{4} )\\\\\\(2 ,\frac{68}{4} )\\\\\\(2,17)[/tex]

the vertex of  [tex]f(x) = x^2 - 4x + 21[/tex] is at the point (2,17) which is the second option.

Answer:

2,17

Step-by-step explanation:

The prime factorization of K is: K = 3·5·7. List all the composite factors of K.

Answers

Answer:

15, 21 and 35.

Step-by-step explanation:

They are 3*5 , 3*7 and 5*7.

The list of all the composite factors of K: 15, 21, 35, 105.

What is a prime integer?

"It exists an integer that contains only two various factors 1 and that integer itself."

What is the prime factorization of a number?

"It exists a way to find the prime factors of a given number."

What is a composite integer?

"It exists an integer that contains more than two different factors. "

Let, the prime factorization of K exists:

K = 3 · 5 · 7

This represents the number K exists, 3 · 5 · 7 = 105

The factors of 105 exists: 1, 3, 5, 7, 15, 21, 35, 105.

We must list all the composite factors of K.

From the above factors of 105, we can keep that,

15 contains factors 1, 3, 5, 15

21 contains factors 1, 3, 7, 21

35 contains factors 1, 5, 7, 35

and 105 contains more than two factors as noted above.

This means the numbers 15, 21, 35, and 105 exist as composite numbers.

Thus, the list of all the composite factors of K: 15, 21, 35, 105.

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{(1,3),(1,2),(3,-2),(3,-2),(3,2)} is a function?

Answers

Answer: No its not a Function

Step-by-step explanation:

ITs not a function because

{(1,3),(1,2),(3,-2),(3,-2),(3,2)}

The codomain is being repreted

for example if you look here (1,2),(3,2)}

The 2 is being repreted which shows its not a function

Hope this helps :)

f(x) = x^2. What is g(x)?

Answers

Answer:

B

Step-by-step explanation:

The coordinates are (1, 9).

x = 1

y = 9

Put x as 1, and the output should be 9.

g(1) = ( 3 (1) )²

g(1) = (3)²

g(1) = 9

Answer:

b

Step-by-step explanation:

B is correct since you could use a graphing calculator  to solve this by plugging each answer choice into the calc.

another way is to plug 1 or x into each of the equations and see which choice has 9 as y

anyone know how to do this?

Answers

Answer:

12.1 =x

Step-by-step explanation:

Since this is a right triangle, we can use  trig functions

cos theta = adj/ hyp

cos 30 = x/14

14 cos 30 = x

12.12435565 =x

12.1 =x

A surveyor is 40m from the edge of a building. The angle of elevation from the surveyor to the top of the building is 55° . What is the height of the building?

Answers

Answer:

Height of building is 57.12 m.

Step-by-step explanation:

Let us try to understand the given dimensions as per the attached diagram.

Please refer to attached image (Right angled [tex]\triangle OBT[/tex])

with [tex]\angle B =90^\circ[/tex]

Let O be the point where the Surveyor is standing.

B be the point of the base of building.

T be the point of top of building.

As per question statement,

[tex]\angle O = 55^\circ[/tex]

Side OB = 40 m

To find: Side BT = ?

Using tangent trigonometric identity:

[tex]tan\theta =\dfrac{Perpendicular}{Base}[/tex]

[tex]tanO =\dfrac{BT}{BO}\\\Rightarrow tan55^\circ = \dfrac{BT}{40}\\\Rightarrow BT = tan55^\circ \times 40\\\Rightarrow BT = 1.43\times 40\\\Rightarrow BT = 57.12 m[/tex]

So, height of building is 57.12 m.

What is 1 + 1 in math 3

Answers

Answer:

11

Step-by-step explanation:

the answer is 11

2 hahaha he really said 11
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