Find the area of a circle with radius = 12cm give your answer rounded to 3SF

Answer:

The slope is -3

Step-by-step explanation:

Answer:

slope is -3

Step-by-step explanation:

Answer:

100 pieces

Step-by-step explanation:

11/220 = 5/x

1100=11x

x=100

Answer:

[tex]Area = 129.5m^2[/tex]

[tex]Perimeter = 48m[/tex]

Step-by-step explanation:

Given

See attachment

Required

Determine the area and the perimeter of the garden

Calculating Area

First, we calculate the [tex]area\ of\ the\ rectangle[/tex]

[tex]A_1 = L * B[/tex]

Where:

[tex]L = 20-(3.5 +3.5)[/tex]

[tex]B = 7[/tex]

So:

[tex]A_1 = (20 - (3.5 + 3.5)) * 7[/tex]

[tex]A_1 = (20 - 7) * 7[/tex]

[tex]A_1 = 13 * 7[/tex]

[tex]A_1 = 91[/tex]

Next, we calculate the area of the two semi-circles.

Two semi-circles = One Circle

So:

[tex]A_2 = \pi r^2[/tex]

Where

[tex]r = \frac{7}{2}[/tex]

[tex]A_2 = \frac{22}{7} * (\frac{7}{2})^2[/tex]

[tex]A_2 = \frac{22}{7} * \frac{49}{4}[/tex]

[tex]A_2 = \frac{22}{1} * \frac{7}{4}[/tex]

[tex]A_2 = \frac{22*7}{4}[/tex]

[tex]A_2 = \frac{154}{4}[/tex]

[tex]A_2 = 38.5[/tex]

Area of the garden is

[tex]Area = A_1 + A_2[/tex]

[tex]Area = 91 + 38.5[/tex]

[tex]Area = 129.5m^2[/tex]

Calculating Perimeter

First, we calculate the perimeter of the rectangle

But in this case, we only consider the length because the widths have been covered by the semicircles

[tex]P_1 = 2 * L[/tex]

Where:

[tex]L = 20-(3.5 +3.5)[/tex]

So:

[tex]P_1 =2 * (20-(3.5 +3.5))[/tex]

[tex]P_1 =2 * (20-7)[/tex]

[tex]P_1 =2 * 13[/tex]

[tex]P_1 =26[/tex]

Next, we calculate the perimeter of the two semi-circles.

Two semi-circles = One Circle

So:

[tex]P_2 = 2\pi r[/tex]

Where

[tex]r = \frac{7}{2}[/tex]

[tex]P_2 = 2 * \frac{22}{7} * \frac{7}{2}[/tex]

[tex]P_2 = \frac{2 * 22 * 7}{7 * 2}[/tex]

[tex]P_2 = \frac{308}{14}[/tex]

[tex]P_2 = 22[/tex]

Perimeter of the garden is

[tex]Perimeter = P_1 + P_2[/tex]

[tex]Perimeter = 26 + 22[/tex]

[tex]Perimeter = 48m[/tex]

Answer:

Step-by-step explanation:

∵ ABCD is a rhombus

∴ AC is ⊥ on BD

∴ ΔAEB is right angled triangle

Answer:

take the x together

then

2=7x-3x

2=4x

2/4=x

2=x

2 is your ans

I hope it helps mate

I will always help you understanding your assingments

have a great day

#Captainpower:)

A person with 20-40 vision can see up to 30 feet and a person with 20-100 vision can see up to 200 feet (No-one can see that far unless they are not human or unless they are a spirit.)

Answer: 596 + 860 = 1456

Answer:

It is B.

Step-by-step explanation:

Edge2021

[tex]w -z =\sqrt{2}(cos(\frac{3\pi}{4} )+i~sin(\frac{3\pi}{4} ))[/tex]

"The number of the form a + ib where a, b are real numbers and [tex]i=\sqrt{-1}[/tex] "

"The polar form of complex number z = x + iy is [tex]z=r~(cos\theta+i~sin\theta)[/tex] where [tex]r=\sqrt{x^{2} +y^{2} }[/tex] and [tex]\theta=tan^{-1}(\frac{y}{x} )[/tex]"

For given question,

We have been given two complex numbers in polar form.

[tex]w=\sqrt{2}(cos(\frac{\pi}{4} )+i~sin(\frac{\pi}{4} ))[/tex] and [tex]z=2(cos(\frac{\pi}{2} )+i~sin(\frac{\pi}{2} ))[/tex]

We simplify above complex numbers.

[tex]w=\sqrt{2}(cos(\frac{\pi}{4} )+i~sin(\frac{\pi}{4} )) \\\\w=\sqrt{2}(\frac{1}{\sqrt{2} } +i~ \frac{1}{\sqrt{2} } ) \\\\w=1+i[/tex]

And the second complex number is,

[tex]z=2(cos(\frac{\pi}{2} )+i~sin(\frac{\pi}{2} ))\\\\z=2(0+i~1)\\\\z=0+2i[/tex]

Now if we find the value of w - z

⇒ w - z = (1 + i) - (0 + 2i)

⇒ w - z = 1 - i

Now we find the polar form of complex number.

[tex]r=\sqrt{1^{2} +(-1)^{2} } \\\\r=\sqrt{2}[/tex]

And the value of [tex]\theta[/tex] would be,

[tex]\theta=tan^{-1}(\frac{-1}{1} )\\\\\theta=tan^{-1}(-1)\\\\\theta=\frac{3\pi}{4}[/tex]

So, w - z in the polar form would be [tex]1+i=\sqrt{2}(cos(\frac{3\pi}{4} )+i~sin(\frac{3\pi}{4} ))[/tex]

Therefore, [tex]w -z =\sqrt{2}(cos(\frac{3\pi}{4} )+i~sin(\frac{3\pi}{4} ))[/tex]

Learn more about the complex numbers here:

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Answer:

1, 2, 3, 6

Step-by-step explanation:

I don't really know how to explain this but if the only change between the two triangles is that it was reflected, then there was no change of any of the angles or side lengths, you just have to make sure you match up the rights angles and the right sides.

Answer:

Hi how are you doing today Jasmine

Answer:

1/2^4

Step-by-step explanation:

Answer:

Velocity = 0

Speed = 0.84

Step-by-step explanation:

Khan Academy

Luis's average velocity over the 95 sec period is 0 m/s.

Given that, Luis walks 40 m toward his truck. He notices he forgot his keys, so he returns back to his house.

Magnitude of average velocity is always less than or equal to the average speed because displacement is always smaller than or equal to distance.

Average Velocity = Total time / Total Displacement

​It is a vector quantity and has units of m/s.

Here, total time = 95 sec and displacement = 0 meter

Now, average velocity = 95/0

= 0 m/s

Therefore, Luis's average velocity over the 95 sec period is 0 m/s.

To learn more about the average velocity visit:

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Answer:

[tex]\frac{-1}{6}[/tex] [tex](2x-5y)[/tex]

Step-by-step explanation:

Answer:

A) (-2, 4)

Step-by-step explanation:

Answer/Step-by-step explanation:

[tex] \overline{AB} \parallel \overline{CD} \parallel \overline{EF} [/tex] ----› Given

[tex] \angle 1 + \angle 2 = 180 [/tex] ----› consecutive interior angles are supplementary

[tex] \angle 3 + \angle 4 = 180 [/tex] ----› consecutive interior angles are supplementary

Therefore:

[tex] \angle 1 + \angle 2 + \angle 3 + \angle 4 = 360 [/tex]

Answer:

x = 0.05

x = 1.57

Step-by-step explanation:

The given equation is:

[tex]e^x-\ln 2x = 3.7[/tex]

Moving all terms to the left side:

[tex]e^x-\ln 2x - 3.7=0[/tex]

Now we define a function:

[tex]y=f(x)=e^x-\ln 2x - 3.7[/tex]

The solutions of the equation are the values of x such that y=0.

Since the function cannot be solved by algebraic methods, we use a graphing tool.

Those points where the graph crosses the x-axis are solutions of the equation.

Please refer to the graph in the figure below.

We can clearly identify there are two solutions at

x = 0.05

x = 1.57

Answer:

Hundreths 3 is in the hundreths

Step-by-step explanation:

Answer:

37/45

Step-by-step explanation:

YEPPP THAT'S ITT DJJSJZJZK

Answer: The answer is 44/50 and the percentage is 88

Step-by-step explanation: Hope my answer helped you! Plz, mark my answer and Thank you!

Answer:

407.7

Step-by-step explanation:

volume = (4/3) * π * r³

(4/3)*PI*4.6^3=407.7

PLEASE MARK BRAINLIEST IF THIS HELPED. THANK YOU

Answer:

D

Step-by-step explanation:

The product of the greatest common factor and a sum is 12 (2 + 3).

Option C is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

24 + 36

We have the following cases:

2 (12 + 18)

3 (8 + 12)

4 (6 + 9)

6 (4 + 6)

12 (2 + 3)

Now,

The greatest common factor.

12 x 2 = 24

12 x 3 = 36

Thus,

12(2 + 3) is the product of the greatest common factor and a sum of (2 + 3).

Learn more about expressions here:

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Answer:

120

Step-by-step explanation:

a^2 + b^2 = c^2

48^2 + x^2 = 52^2

2304 + x^2 = 2704

x^2 = 2704-2304

x^2 = 400

x = 20

52 + 48 + 20 =

120

Answer:

5

Step-by-step explanation:

The median is the middle number when they are put in order from smallest to largest

1,2,4,5,5,8,8

There are 7 number so the middle is between 4th  number

1,2,4     ,5    ,5,8,8

The median is 5

[tex]\sf Answer: [/tex]

[tex]\sf 5 [/tex]

[tex]\sf Step-by-step~explanation: [/tex]

[tex]\sf List~the~numbers~in~order,~from~least~to~greatest. [/tex]

[tex]\sf 1   2   4   5   5   8   8   [/tex]

[tex][The~middle~number~is~5,~so~the~answer~is~going~to~be~5.[/tex]  [tex]This~is~because~a~median~is~the~number~in~the~middle.[/tex]      [tex]''~The~median~is~the~middle~number~in~a~sorted,~ascending~or~descending,~[/tex]    [tex]list~of~numbers~and~can~be~more~descriptive~of~that~data~set~than~the~average~'' ][/tex]

Answer: $1.35 is the answer

Answer:

5 quarters is equal it 1$ and 25¢, 2 nickles is equal to 10¢, put these together and you get 1$ and 35¢ or 1.35$

Answer:

you will get the football

Step-by-step explanation:

Answer:

0.6

Explanation: 60 over 100 would be 60/100, so when converting this into a decimal, the 60 would be in the hundreths place. Therefore, the decimal would be 0.6.

Hope this Helps!

Step-by-step explanation:

[tex]\dfrac{\sqrt3}{\sqrt8}=\dfrac{\sqrt3\cdot\sqrt2}{\sqrt8\cdot\sqrt2}=\dfrac{\sqrt{3\cdot2}}{\sqrt{8\cdot2}}=\dfrac{\sqrt6}{\sqrt{16}}=\dfrac{\sqrt6}{4}[/tex]

[tex]\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\ \text{for}\ a\geq0\ \wedge\ b\geq0\\\\\sqrt{a}=b\iff b^2=a\ \text{for}\ a\geq0\ \wedge\ b\geq0\\\\\sqrt{16}=4\ \text{because}\ 4^2=16[/tex]