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PSYCHO15rus [73]
3 years ago
5

True or false A rhombus is an isosceles trapezoid

Mathematics
2 answers:
Elina [12.6K]3 years ago
7 0

Answer:

false

Step-by-step explanation:

Butoxors [25]3 years ago
3 0

Answer:

  • False

Step-by-step explanation:

A rhombus is an isosceles trapezoid.

  • False. Isosceles trapezoid has only one pair of congruent sides. Rhombus has 4 congruent sides.
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Use​ DeMoivre's Theorem to find the indicated power of the complex number. Write the answer in rectangular form.
slava [35]

Answer:

After solving the power:

\bold{2(cos60^\circ+isin60^\circ)}

Rectangular form:

\bold{1+i\sqrt3}

Step-by-step explanation:

Given the complex number:

2(cos20^\circ+isin20^\circ)^3

To find:

The indicated power by using De Moivre's theorem.

The complex number in rectangular form.

Rectangular form of a complex number is given as a+ib where a and b are real numbers.

Solution:

First of all, let us have a look at the De Moivre's theorem:

(cos\theta+isin\theta )^n=cos(n\theta)+isin(n\theta )

First of all, let us solve:

(cos20^\circ+isin20^\circ)^3

Let us apply the De Moivre's Theorem:

Here, n = 3

(cos20^\circ+isin20^\circ)^3 = cos(3 \times 20)^\circ+isin(3 \times 20)^\circ\\\Rightarrow cos60^\circ+isin60^\circ

Now, the given complex number becomes:

2(cos60^\circ+isin60^\circ)

Let us put the values of cos60^\circ = \frac{1}{2} and sin60^\circ = \frac{\sqrt3}{2}

2(\dfrac{1}{2}+i\dfrac{\sqrt3}2)\\\Rightarrow (2 \times \dfrac{1}{2}+i\dfrac{\sqrt3}2\times 2)\\\Rightarrow \bold{1 +i\sqrt3 }

So, the rectangular form of the given complex number is:

\bold{1+i\sqrt3}

3 0
3 years ago
What are the roots of the quadric equation y=x^2-10x+125?
olganol [36]
5,100 um i’m not sure if that’s the answer you’re looking for
8 0
3 years ago
A worker has four different job offers, each with a contract for seven years. Assuming the job descriptions are identical, which
Rainbow [258]

Answer:

The answer is C

Step-by-step explanation:

I took the test

8 0
3 years ago
Read 2 more answers
AB=AD. Enter the range of values for x. 40° 14° 9x-27 108. ?
zalisa [80]

The range of values of x as shown in the diagram is -9 < x < 15

<h3>Inequality expressions</h3>

Inequality are expressions not separated by an equal sign. The required inequality expression is given as:

|9x - 27| < 108

For the positive inequality

9x - 27 < 108

9x < 108 +27

9x < 135

x < 15

For the negative inequality

-9x +  27 < 108

-9x < 108 - 27

-9x < 91

x > -9

-9 < x

Hence the range of values of x as shown in the diagram is -9 < x < 15

Learn more on inequality here: brainly.com/question/24372553

#SPJ1

8 0
2 years ago
Read 2 more answers
Mortar is made by mixing cement, sand and quicklime in the ration 1:2:3
timurjin [86]

Answer with step-by-step explanation:

If the ratio for the ingredients is 1:2:3, then the total would be 6. If so, we have to divide 2.1 by 6, which is 0.35. Now, you need to multiply 0.35 to the according ingredient amounts.

Cement: 1 x 0.35 = 0.35

Sand: 2 x 0.35 = 0.70

Quicklime: 3 x 0.35 = 1.05

If you add it up, you will get 2.1, which is the volume.

Hope this helped! (brainliest please)

3 0
4 years ago
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