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3 years ago

Use 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.

Mathematics

1 answer:

harina [27]3 years ago

3 0

Answer:

Circumference=25.13 Area=50.27

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Convert 100 km/h to m/s.

solniwko [45]

100 * 1000 : 60 : 60 = 27.77 m/s

5 0

3 years ago

A positive number is 30 less than its square. Find the number.

FinnZ [79.3K]

Answer:

Step-by-step explanation:

6+30=36

6^2=36

8 0

3 years ago

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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

Find the value of x in the isosceles triangle shown below.

Reptile [31]

Answer:

x=10

Step-by-step explanation:

We can use the Pythagorean theorem to find x

The height meets the base at a right angle

The base is bisected ( cut in half) so the base is 6 the height is 8

a^2 + b^2 = c^2

6^2 + 8^2 = x^2

36+64 = x^2

100 = x^2

Taking the square root of each side

sqrt(100) = sqrt(x^2)

10 = x

4 0

2 years ago

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Six students share 8 granola bars equally. How many granola bars does each student get?

solniwko [45]

Answer:

1 whole one and a third of one.

Step-by-step explanation:

1 1/3 of a granola bar

6 0

3 years ago

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