Find the area of this semi-circle with diameter,
d
= 11cm.
Give your answer rounded to 2 DP.

Answers

Answer 1
Answer: 47.52 cm

Explanation:
The area of a circle is given by the formula A=πr^2. The area of a semicircle is half of a circle, so the equation is A=1/2πr^2. The diameter of the semicircle is 11 cm, so the radius is 11/2 = 5.5 cm.
Putting the numbers into the equation:
A = 1/2π(5.5)^2
A = 47.52 cm

Related Questions

What is the value of this expression?

48−{(18+12)÷6}×2


8

14

38

86

Answers

The answer is-38Step-by-step explanation:48−30÷6×248−5×248−1038

Communicate Precisely: Suppose the numbers on the clock face are removed.
Write instructions that another person could follow to move the minute hand from 2 to 6.

Answers

In order to move the minute hand from 2 to 6 first move 60 degrees clockwise then 120 degrees clockwise.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have:

On a clock, numbers 1 to 12 are printed on it.

If numbers on the clock face are removed.

As we know, the clock is a circle and has a total angle of 360 degrees.

Angle between the two numbers = 360/12 = 30 degree

Then the following instructions have to be followed in order to move the minute hand from 2 to 6:

Set the minute hand vertically up.Move 60 degrees in a clockwise direction, it will be on number 2.Now move 120 degrees in a clockwise direction, it will indicate the number 6.

Thus, in order to move the minute hand from 2 to 6 first move 60 degrees clockwise then 120 degrees clockwise.

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need help with my aleks

Answers

Answer:

Below in bold,

Step-by-step explanation:

The angles in a triangle add up to 180 degrees.

So the equation is:

7x + 8 + 4x + x + 4 = 180

12x + 12 = 180  <-------- Required equation

12x = 168

x = 14.

m< L = 14 + 4 = 18 degrees

m< M = 7(14) + 8 = 106 degrees

m< N = 4(14)= 56 degrees

If you complete the square in the quadratic equation ​, you get the quadratic formula for the solutions x ​_______.

Answers

Answer:

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

Step-by-step explanation:

ax² + bx + c = 0

[tex]a\left( x^{2}+\frac{b}{a} x+\frac{c}{a} \right) =0[/tex]

[tex]a\left( \left( x+\frac{b}{2a} \right)^{2} -\frac{b^{2}}{4a^2}+\frac{c}{a} \right) =0[/tex]

[tex]a\left( \left( x+\frac{b}{2a} \right)^{2} -\frac{b^{2}-4ac}{4a^2}\right) =0[/tex]

[tex]a\left( x+\frac{b}{2a} \right)^{2} -\frac{b^{2}-4ac}{4a}=0[/tex]

[tex]a\left( x+\frac{b}{2a} \right)^{2} =\frac{b^{2}-4ac}{4a}[/tex]

[tex]\left( x+\frac{b}{2a} \right)^{2} =\frac{b^{2}-4ac}{4a^2}[/tex]

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

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

Davis paid $250 for a sneaker and there is a 33% advertised discount. How much is the discount?

Answers

25 is the discount in this equation

Answer:

152.5

Step-by-step explanation:

I think that might be the answer ( im not that good at math )

You had $21 to spend on eight notebooks. After buying them you had $5. How much did each notebook cost?

Answers

Answer:

each notebook costs $2

Step-by-step explanation:

21-5=16/8=$2

Each notebook cost $2

Jack invests money in an account paying a simple interest of 7.1% per year. If mm represents the amount of money he invests, which expression represents his balance after a year, assuming he makes no additional withdrawals or deposits?

m+0.071m+0.071

1.0071m1.0071m
1+0.071m1+0.071m
m+0.071mm+0.071m

Answers

The balance after a year will be represented by an expression m + 0.071m.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that:-

Jack invests money in an account paying a simple interest of 7.1% per year.

The total amount will be calculated as:-

Total amount = Principle + interest rate x priciple

Total amount  = m  +   0.071m

Therefore the balance after a year will be represented by an expression m + 0.071m.

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use the graph of f to solve for f(x)= -3 for x

Answers

Answer:

b

Step-by-step explanation:

67/100 simplificado
1/4 simplificado​

Answers

[tex] \sf{La \: \: fracción \: \: \dfrac{67}{100} \: \: no \: \: es \: \: posible \: \: reducir.}[/tex]

A la igual que la otra Operación:

[tex] \sf{La \: \: fracción \: \: \dfrac{1}{4 } \: \: no \: \: es \: \: posible \: \: reducir.}[/tex]

Ninguna tiene factores comunes.

Espero que te sirva, salu2!!!!

The fraction 67/100 It cannot be simplified.

It cannot be simplified since the numerator is greater than or equal to the denominator of a fraction, it is called an improper fraction. In that case, it cannot be converted to a whole number or a mixed fraction.

The fraction 1/4 Nor can it be simplified.

Since If the numerator is greater than or equal to the denominator of a fraction, it is called an improper fraction. In that case, it cannot be converted to a whole number or a mixed fraction.

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2 How many 1.2-kg books can you pack into a suitcase so that the total weight does not exceed 36 kg?​

Answers

Answer:

30 books

Step-by-step explanation:

36 / 1.2 = 30

You can pack 30 books and it will not exceed 36 Kg.

- - -

Side Note:

We don't know how heavy the suitcase is...

Triangle ABC is similar to triangle DEF.

a. Find the scale factor from triangle ABC to triangle DEF.

b. Find x.

c. Find y.

Answers

Answer: x=7.7, y=40

3/x = 15/38.5

38.5*3=115.5

115.5/15= 7.7

x=7.7


3/8 = 15/y

15*8=120

120/3= 40

y=40


orrrr you can just easily find the scale factor which is 5, multiply 8 by 5 and get 40. And 38.5/5 which is 7.7

What is the value of x in the solution to this system of equations?

Answers

Answer:

x = 10/3

Step-by-step explanation:

3x = 2y + 14

y = -6x + 18

3x = 2(-6x+18) + 14

3x = -12x + 36 + 14

15x = 50

x = 50/15

x = 10/3

Answer:

10/3

Step-by-step explanation:

3x= 2y+14-------(1)

y= -6x+18------(2)

from equation (2) put y= -6x+18 into equation (1)

3x= 2(-6x+18)+14

3x= -12x+36+14

3x+12x= 50

15x= 50

dividing bothsides by 16

x = 50/15

x= 10/3

HELP WITH PROB AND STATS

Use the given data to find the best predicted value of the response variable.

Six pairs of data yield r= 0.344 and the regression equation y = 5x + 2. Also, y = 18.3
What is the best predicted value of y for x = 5? Use a = 0.05.

Answers

Sub in x = 5 into the equation y = 5x + 2. If you do that you should get a y-value of about 27.

Paul reads on a map that 1 inch represents 7 miles. He measures the distance between two spots to be 8.5 inches. What is the real distance?

Answers

Answer:

59.5 miles

Step-by-step explanation:

1 in = 7 mi

7 x 8.5 = 59.5

The art club had an election to select a president.


​75\%75% of the 6060 members of the club voted in the election.

​How many members voted?

Answers

Answer:

45

Step-by-step explanation:

Subtract 60 from 75% and multiply the answer.

Pls help urgent i will marke the brainlist

Answers

Answer:

Yes, because 8n + 4 = 4(2n + 1) because of the distributive property. And about the 4 = 52 - 8n, that is also equivalent to the rest of them because of the associative property.

OR

You could just solve the math and show that they are equivalent.

How many fluid ounces are there in 3 pints and 8 fluid ounces?

Answers

Answer:

56

Step-by-step explanation:

((3*2)+1)*8

Answer:

1 pint equals 16 ozs. so the answer in 48

A rectangular room has a length of 16 ft and a diagonal of 22 ft. What is the approximate
width of the room?

Answers

Answer:

no

Step-by-step explanation:

Answer: 15.09967ft

Step-by-step explanation: w=d2﹣l2=222﹣162≈ hope this helps ^^

once again you can earn free easy points just by answering this simple question :)

Answers

Answer:

D Rotainon.

Step-by-step explanation:

The shape is flipped.

Find the value of y…

Answers

Answer:

     y = 94

Step-by-step explanation:

Linear Pair:

The two adjacent angles whose non common arms form a straight line is called linear pair. They add up to 180

2x + 36 = 180 {linear pair}

       2x  = 180 - 36

       2x = 144

        2x = 144°

Sum of all angles of a n-sided polygon = (n-2)*180

                                                                 = ( 6-2)*180

                                                                 = 4 * 180

                                                                  = 720

y + 144 + 111 + 105 + 165 + 101 = 720

                                  y + 626  = 720

                                             y = 720 - 626

                                            [tex]\sf \boxed{y = 94^ \circ}[/tex]

Answer:

94°

Step-by-step explanation:

2x + 36 = 180 (angles on a straight line)

2x = 180 - 36

2x = 144

2x = 144°

Sum of all angles of a n-sided polygon = (n-2)×180 = ( 6-2)×180

= 4 × 180

= 720

y + 144 + 111 + 105 + 165 + 101 = 720

y + 626 = 720

y = 720 - 626

y=94 °

The ages of Charlotte and Olivia are in the ratio 6:10. After 10 years, their ratio will become 4:6. Find their ages.

Answers

Answer:

Charlotte's age = 30 years

Olivia's age = 50 years

Step-by-step explanation:

Present ages of Charlotte & Olivia = 6:10.

Then, their present ages are:

Charlotte = 6x

Olivia = 10x

Now, in 10 years, their ratio = 4:6

Then,

Ratio of Charlotte's & Olivia's present age + 10 years each = Ratio of their ages in 10 years

[tex]\frac{6x + 10}{10x + 10} = \frac{4}{6} \\6(6x + 10) = 4 (10x + 10) \: \: \: \: [\mathrm{cross\: multiplication}]\\36x + 60 = 40x + 40\\36x - 40x = 40 - 60\\4x = 20\\\boxed{\bf\:x = 5}[/tex]

So,

Charlotte's present age [tex]= 6x = 6(5) = {\boxed{\bf\:30 \:years}[/tex]

Olivia's present age = [tex]10x = 10(5) = \boxed{\bf\:50 \: years}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

If 5 times a certain number is 40, and 9 times the same number is 72, how would you find 59 times that number? A)400 + 72 B)40 + 72 C)40 × 72 D)400 + 720 pls tell answer urgently.​

Answers

Answer:

A) 400 + 72

Step-by-step explanation:

Let the certain number be denoted by x.

⇒ 5x = 40 [Equation 1]

⇒ 9x = 72 [Equation 2]

Multiply Equation 1 by 10 :

⇒ 10(5x) = 40(10)

⇒ 50x = 400 [Equation 3]

Finding the sum of Equation 2 and Equation 3 :

⇒ 50x + 9x = 400 + 72

⇒ 59x = 400 + 72

Hence, 59 times a certain number is represented by : 400 + 72

can anyone help plssss??

Answers

Answer:

42 degrees

Step-by-step explanation:

48+90=138

180-138=42

I need help please ASAP??!!

Answers

Answer:

i got you the answer is .....

Step-by-step explanation:

there you go



Jackie is a student of UEW. This year, her age is a multiple of 6. Next year, her age will be a multiple of 5. If Jackie is younger than 40, how old will she be next year? ​

Answers

Using the multiples of 5 and 6, it is found that she will be 25 years old next year.

What are the multiples of 5 and 6?

They are given as follows, considering numbers less than 40:

M(5) = {0, 5, 10, 15, 02, 25, 30, 35}.M(6) = {0, 6, 12, 18, 24, 30, 36}.

This year, her age is a multiple of 6. Next year, her age will be a multiple of 5, hence, her age next year is a multiple of 5, whose predecessor is a multiple of 6, hence the only option is that she will be 25 years old next year.

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what is the positive solution of 3x^2-10-8=0?

Answers

Answer:

x=4

Step-by-step explanation:

I'm going to assume the question has a typo and that the question is actually [tex]3x^2 -10x-8=0[/tex].

You can simplify this to:

[tex](3x+2)(x-4)=0[/tex]

This leaves the solutions [tex]x=-\frac{2}{3}[/tex] and x=4

The only positive solution therefore is x=4

Answer:

The answer is 4

Step-by-step explanation:

Use the improved quadratic formula (https://socratic.org/algebra/quadratic-equations-and-functions/quadratic-formula)

D=d^2=b^2-4ac=100+96=196⇒d±14

There are 2 real roots: x=-b/2a±d/2a=10/6±14/6=5/3±7/3

The positive real root is : 12/3=4

What is the equation of the line written in slope-intercept form that passes through the point (-1, 5) and is parallel to the line y = -2x – 5?

Answers

Answer:

Step-by-step explanation:

y - 5 = -2(x + 1)

y - 5 = -2x - 2

y = -2x + 3

Please help need urgent

Answers

Convert the cm to feet for the base and the height:

12/2 = 6 x 3 = 18 feet

9/2 = 4.5 x 3 = 13.5 feet


area = 1/2 x base x height

Area = 1/2 x 18 x 13.5

Area = 121.5 square feet


answer: 121.5 square feet

Which expression is equivalent to the following complex fraction?

1 minus StartFraction 1 Over x EndFraction divided by 2
StartFraction x minus 1 Over 2 x EndFraction
Negative one-half
StartFraction 2 x minus 2 Over x EndFraction
StartFraction 2 x Over x minus 1 EndFraction

Answers

The complex fraction is

[tex]\\ \rm\Rrightarrow \dfrac{1-\dfrac{1}{x}}{2}[/tex]

On comparing

[tex]\\ \rm\Rrightarrow \dfrac{\dfrac{x-1}{x}}{2}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{2(x-1)}{x}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{2x-2}{x}[/tex]

Middle one

Answer:

It is A.) x-1 / 2x

Step-by-step explanation:

correct on edge


In the figure below, QRT and SRV are complementary.
What is the value of x?

Answers

[tex]\bold{ANSWER:}[/tex]
x = 40

[tex]\bold{SOLUTION:}[/tex]
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