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NeTakaya
3 years ago
10

Find the area of the following circle. r=9 yd. Area = square yards.

Mathematics
2 answers:
Katen [24]3 years ago
4 0
81pie square yards, the formula of area of circle is pie•r cubed,
Yanka [14]3 years ago
3 0

Answer:

Step-by-step explanation:

Area = \pir^{2}

= 81\pi

= 254.47 square yards (to 2dp)

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When 4 times the number x is added to 12, the result is 8. What number results when 2 times x is added to 7 ?
Bumek [7]
<h2><u>Given </u><u>:</u><u>-</u></h2>

  • <u>\bf4 \: times \: a \: number \: x \: is \: added \: to \: 12 \\ \bf the \: result \: is \: 8</u> ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎
  • \bf⟹ \: 4x + 12 = 8

\large\bf{\underline{We\:have\:to\:find:-}}

  • \bf\:The \: number \: results \: when \: 2 \: times \: x  \\ \bf is \: added  \: to \: 7
  • \bf ⟹\: 2x + 7 =  ?

\large\bf{\underline{To \:find\:the\:value\:of\:x}}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹4x + 12 = 8

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹4x = 8 - 12

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹4x =  - 4

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹x =  \frac{ - 4}{4}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹x =  - 1

\large\bf{\underline{Putting\:the\:value\:of\:x\:in\:2x+7}}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎=2x + 7

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎=2( - 1) + 7

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎= - 2 + 7

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎= 5

__________________________________________

\large\bf{\underline{Hence}}

\huge{2x + 7}

\huge{=5}

3 0
3 years ago
Convert from rectangular to polar coordinates: note: choose rr and θθ such that rr is nonnegative and 0≤θ&lt;2π0≤θ&lt;2π (a)(9,0
DochEvi [55]

Answer:

Step-by-step explanation:

Convert rectangle (x , y) to polar coordinates ( r , θ)

x=r  \cos \theta, y= r \sin \theta

r=\sqrt{x^2+y^2} , \theta =tan^-^1 (\frac{y}{x} )

a) converts (9, 0) to polar coordinates  ( r , θ)

r=\sqrt{x^2+y^2} \\\\=\sqrt{9^2+0} \\\\=9

\theta= \tan^-^1 (\frac{0}{9} )\\\\=0

b) Convert (18,\frac{18}{\sqrt{3} } ) to polar coordinates ( r, θ)

r = \sqrt{18^2+(\frac{18}{\sqrt{3} })^2 } \\\\=\sqrt{324+108} \\\\=\sqrt{432}

\frac{x}{y} \theta = \tan^-^1(\frac{\frac{18}{\sqrt{3} } }{18} )\\\\= \tan ^-^1(\frac{1}{\sqrt{3} } )\\\\= \frac{\pi}{6}

c)  converts (-5, 5) to polar coordinates  ( r , θ)

r =\sqrt{(-5)^2+(5)^2} \\\\=\sqrt{50} \\\\=5\sqrt{2}

\theta=\tan^-^1(\frac{5}{-5} )\\\\= \tan^-^1(-1)\\\\=\frac{3\pi}{4}

d)  converts (-1, √3) to polar coordinates  ( r , θ)

r=\sqrt{(-1)^2+(\sqrt{3})^2 } \\\\= \sqrt{4} \\\\=2

\theta=\tan^-^1(\frac{\sqrt{3} }{-1} )\\\=\tan^-^1(-\sqrt{3} )\\\\=\frac{2\pi}{3}

= \frac{2\pi}{\sqrt{3} }

6 0
3 years ago
The mean, median, and mode are all measures of central tendency. The mean is usually the preferred measure of central tendency,
padilas [110]

Answer and explanation:

1. It is commonly referred to as the arithmetic average: the mean measure of central tendency is also referred to as the arithmetic mean or arithmetic average or just average.

It is algebraically defined (that is, there is an equation you can use to calculate its value): the mean can be represented by the algebraic equation

a1+a2+a3...ai/n

2. There can be more than one median where there are an even number of data points and not odd number, in which the two middle number are divided by 2

It can be found when there are undetermined scores: median can be found with undetermined scores

3. It corresponds to an actual score in the data: the mode is an actual value in the data that appears more frequently than other values

There can be more than one: there can be more than one mode(bimodal,trimodal,multimodal) where 2 or more values appear the same number of times

6 0
2 years ago
What is 6.025 as a fraction
Svetllana [295]
<span>6025/1000 for a decimal fraction</span>
5 0
3 years ago
Read 2 more answers
What does the model predict for 1900?
vagabundo [1.1K]

Answer:

64.0% is the correct answer.

Step-by-step explanation:

As per the given scatter plot of voter turnout every year:

X axis represents the year and

Y axis represents the percentage of people who voted.

The model was predicted as per the equation:

y = -0.1271x + 307.53

<u>To find:</u> Prediction for the year 1900.

Putting the value of x=1900, the value of y will be the predicted value of the model i.e. the value of percentage of voter turnout.

\Rightarrow  y = -0.1271\times (1900) + 307.53\\\Rightarrow  y = -241.49 + 307.53\\\Rightarrow  y = -64.04\%\\OR\\y \approx 64.0\%

So, the model predicts y \approx 64.0\% for the year 1900.

3 0
2 years ago
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