LINDITUETID

NEED ANSWER<br> Algebraic question: What is the area of this trapezoid?

adelina 88 [10]

The area of the trapezoid is 37.5 square inches.

4 0

2 years ago

Find four distinct complex numbers (which are neither purely imaginary nor purely real) such that each has an absolute value of

Luda [366]

Answer:

0.5 + 2.985i
1 + 2.828i
1.5 + 2.598i
2 + 2.236i

Explanation:

Complex numbers have the general form a + bi, where a is the real part and b is the imaginary part.

Since, the numbers are neither purely imaginary nor purely real a ≠ 0 and b ≠ 0.

The absolute value of a complex number is its distance to the origin (0,0), so you use Pythagorean theorem to calculate the absolute value. Calling it |C|, that is:

$|C| = \sqrt{a^2+b^2}$

Then, the work consists in finding pairs (a,b) for which:

$\sqrt{a^2+b^2}=3$

You can do it by setting any arbitrary value less than 3 to a or b and solving for the other:

$\sqrt{a^2+b^2}=3\\ \\ a^2+b^2=3^2\\ \\ a^2=9-b^2\\ \\ a=\sqrt{9-b^2}$

I will use b =0.5, b = 1, b = 1.5, b = 2

$b=0.5;a=\sqrt{9-0.5^2}=2.958\\ \\b=1;a=\sqrt{9-1^2}=2.828\\ \\b=1.5;a=\sqrt{9-1.5^2}=2.598\\ \\b=2;a=\sqrt{9-2^2}=2.236$

Then, four distinct complex numbers that have an absolute value of 3 are:

0.5 + 2.985i
1 + 2.828i
1.5 + 2.598i
2 + 2.236i

4 0

2 years ago

The product of two numbers is 30. If one of the numbers is 15/, what is the other number?

PSYCHO15rus [73]

Answer:

The other number is 2 if the given number is 15.

Step-by-step explanation:

One of the numbers is 15, correct?

Let the other number be x.

15 × x = 30

x = 30/15

x = 2.

Let's check:

15 × 2 = 30.

30 = 30.

Correct!

3 0

2 years ago

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I need help I don’t understand

aleksklad [387]

<h3><em>1) 0.7</em></h3><h3><em>2) 0.42</em></h3><h3><em>3) 0.25</em></h3><h3><em>4) 0.375</em></h3><h3><em>5) 0.33</em></h3><h3><em>6) 0.071</em></h3><h3><em>7) 0.775</em></h3><h3><em>8) 0.775</em></h3><h3><em>9) 0.682</em></h3><h3><em>10) 0.791</em></h3><h3><em>HOPE IT HELPS !!!</em></h3>

7 0

2 years ago

The graph shows the data points in the table and the exponential regression model associated with the data ?

Ipatiy [6.2K]

From the graph, it is obvious that the trend is decreasing from 100 on day 2, to 1 on day 10. So, the answer could either be A or C. The question would be how fast is it decreasing? To illustrate this, let's find the difference of consecutive data:

100 - 26 = 74
26 - 6 = 20
6 - 2=4
2-1=1

It must not be an additive rate because there is no common difference. Let's illustrate if the trend is in multiplicative rate:

100/26 = 3.85
26/6 = 4.33
6/2 = 3
2/1 = 2

More or less, they have a common divider. Hence, the decreasing rate is in multiplicative rate. The answer is A.

6 0

2 years ago

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