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3 years ago

HELP PLEASE!!!!!!!!!!!

Mathematics

1 answer:

sashaice [31]3 years ago

3 0

The simplified expression should be 3/7

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Heyy guys having trouble with this im new to it from today . If u dont mind helping :)

taurus [48]

Answer:

Step-by-step explanation:

total=180

180-104=76

5 0

3 years ago

Can someone help me with this please ?

vaieri [72.5K]

Answer:

3.36 cm

Step-by-step explanation:

from the passage before ; the figure of question is similar to the first figure in passage because those triangles have an each equal angle.

Therefore the ratio of side is equal ; 1/0.84=4/x

Solve equation will be x(1)=4(0.84) ; x=3.36 cm

5 0

3 years ago

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

More math and its my last question

vaieri [72.5K]

We know that ∠1 equals ∠3, from that we can find x:

$10x = 100 \\ x = 10$

The sum of ∠1 and ∠2 must equal 180°:

$10x + 10y + 20 = 180$

Since we already know x, we can solve for y:

$10 \times 10 + 10y + 20 = 180 \\ 10y + 120 = 180 \\ 10y = 60 \\ y = 6$

Result: x=10, y=6

4 0

3 years ago

hoa [83]

Sum of triangle angles = 180

smallest angle = x

second angle = 3x

third angle = x +35

180 = x + 3x + x + 35

145 = 5x

x = 29 is the smallest

the second is 87

the third is 64

8 0

2 years ago