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3 years ago

A farmer purchased a large circular field with an area of 1,017.36 square yards to build a farm. The farmer wants to

Mathematics

1 answer:

telo118 [61]3 years ago

3 0

Answer:

113.04feet

Step-by-step explanation:

Area of the circular field = πr²

r is the radius

Given

Area = 1,017.36 square yard

1,017.36 = πr²

r² = 1,017.36/3,14

r² = 324

r = √324

r = 18yds

Get the circumference

C = 2πr

C = 2(18)(3.14)

C = 113.04yds

Hence he/she must have been walking for 113.04feet

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3 years ago

Timo was curious if quadrilaterals LMNR and PQNO were similar, so he tried to map one figure onto the

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3 years ago

Read 2 more answers

Suppose a and b are both non zero real numbers. Find real numbers c and d such that 1/a+ib= c+id

Thepotemich [5.8K]

$\begin{gathered} c=\frac{a}{a^2+b^2} \\ d=\frac{-b}{a^2+b^2} \end{gathered}$

Explanation

$\frac{1}{a+bi}=c+di$

Step 1

multiplicate by the conjugate

$\begin{gathered} \frac{1}{a+bi}\cdot\frac{a-bi}{a+bi}=\frac{a-bi}{(a+bi)(a-bi)}=\frac{a-bi}{a^2-(bi)^2} \\ \frac{1}{a+bi}\cdot\frac{a-bi}{a+bi}=\frac{a-bi}{(a+bi)(a-bi)}=\frac{a-bi}{a^2-(-b^2)}=\frac{a-bi}{a^2+b^2} \end{gathered}$

notice that

$\begin{gathered} \frac{1}{a+bi}=\frac{a-bi}{a^2+b^2}=\frac{a}{a^2+b^2}-\frac{b}{a^2+b^2}i \\ \frac{a}{a^2+b^2}-\frac{b}{a^2+b^2}i=c+di \\ so \\ \end{gathered}$ $\begin{gathered} c=\frac{a}{a^2+b^2} \\ d=\frac{-b}{a^2+b^2} \end{gathered}$

I hope this helsp you

6 0

1 year ago

Please answer right away

irina1246 [14]

Answer:

$29000 with a margin of error of $5000

Step-by-step explanation:

We have that the midpoint between the given values is

(X1+X2) / 2 = ($34000+$24000)/2 = $29000

We have that the midpoint between the given values would be

(X2-X1)/2=($34000-$24000)/2=$10000/2=$5000

So I can write that approach as $29000 with a margin of error of $5000

Done

5 0

3 years ago