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3 years ago

Find real numbers a and b such that the equation a+bi=13+9i is true.

Mathematics

1 answer:

jeka57 [31]3 years ago

7 0

Given:
a + bi = 13 + 9i

Equate the real parts:
a = 13
Equate the imaginary parts:
b = 9

Answer:
a =13
b = 9

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The radius of a circle is 5 inches what ia the area

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Answer:

A = pi * r^2 = pi * 5^2 = 25*pi = 78.54 in²

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3 years ago

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Anne is running on a trail at an average speed of 6 miles per hour beginning at mile marker 4. John is running on the trail at t

Sphinxa [80]

Answer:

John is running faster.

Step-by-step explanation:

Given that:

Average Speed of Anne = 6 miles per hour

Speed of John can be represented in the table below:

$\begin{center}\begin{tabular}{ c c}Time (hours) x & Mile Marker y \\ 0 & 1 \\ 0.5 & 4.5 \\ 1 & 8 \\ 1.5 & 11.5 \\\end{tabular}\end{center}$

To find:

Who is running faster of the both i.e. Anne and John?

Solution:

Here, to find the faster runner we can compare the average speed of both the runners.

We are given that, average speed of Anne = 6 miles per hour

We will have to calculate the average speed of John to find the faster runner.

<em>Average speed</em> can be calculated by dividing the total distance traveled with the total time taken.

Total distance traveled by John = 11.5 - 1 = 10.5 miles

Total time taken by John = 1.5 hours

Average speed of John = $\frac{10.5}{1.5} = 7\ miles/hr$

Clearly Average speed of John is greater than that of Anne's.

Therefore, <em>John runs faster</em>.

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2 years ago

The top of Mount Everest is 29,028 feet above sea level. How many miles is that?

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Step-by-step explanation:

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3 years ago

Solve for x.

Delicious77 [7]

Answer:

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Step-by-step explanation:

just take the answer (278)- the number they give you

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Fudgin [204]

Answer:

Part A:

In order to find a coterminal angle, or angles of the given angle, simply add or subtract 360 degrees of the terminal angle as many times as possible.

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Step-by-step explanation:

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1 year ago