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3 years ago

What is the answer to this question?

Mathematics

1 answer:

Nadya [2.5K]3 years ago

7 0

Answer:

$x = (i \sqrt{3} - 1) \div 2$

Step-by-step explanation:

1. Factor out the imaginary number "i" from the trinomial. This leaves you with:

x^2 + x + 1 = 0

2. From here you need to complete the square and solve for x, which should give you the above answer once simplified.

3. If you wanted to check the answer you can plug it back into the equation to see if you get 0.

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1/3 is the probability

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4 years ago

Please help find the amount of interior angles in the shape.

gladu [14]

The polygon has 11 sides.

The measure each interior angle is 147.272°.

Solution:

The given shape is a regular polygon.

(a) Number of sides of the polygon = 11

The polygon has 11 sides.

(b) To find the measure of each interior angle:

Each interior angle of a regular polygon

$$=\frac{(n-2) \times 180^{\circ}}{n}$

$$=\frac{(11-2) \times 180^{\circ}}{11}$

$$=\frac{9 \times 180^{\circ}}{11}$

$=147.272^\circ$

The measure each interior angle is 147.272°.

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4 years ago

In many cases the Law of Sines works perfectly well and returns the correct missing values in a non-right triangle. However, in

Agata [3.3K]

$\frac{\sin B}{b}=\frac{\sin A}{a} \\ \\ \sin B=\frac{b \sin A}{a} \\ \\ \sin B=\frac{13 \sin 29^{\circ}}{7.2} \\ \\ \boxed{m\angle B =\arcsin \left(\frac{65\sin 29^{\circ}{36} \right), 180^{\circ}-\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right)}$

Considering the diagram. $\angle B$ is shown to be acute, so $\boxed{m\angle B=\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right)}$ .

Angles in a triangle add to 180°, so $m\angle C= 151^{\circ}-\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right)$ .

Using the law of cosines,

$AB=\sqrt{13^2 + 7.2^2-2(13)(7.2)\cos \left(\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right) \right)} \\ \\ \boxed{AB=\sqrt{220.84-187.2\cos \left(\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right) \right)}}$

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1 year ago

2 3/8 - 5/8 = ? help plzzz

Gennadij [26K]

Answer: i just did this in school the other day! your answer is, 1 3/8

Step-by-step explanation: ignore the whole number, then subtract 5 from 3 and because you already have a common denominator, you don't need to deal with those shenanigans.

well you can't subtract 5 from 3 so you use the whole number and 3 becomes 8 5 from 8 is 3 so your answer is 1 3/8!

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4 years ago

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Free_Kalibri [48]

Answer:

I think the answer to your question is -1

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3 years ago

Read 2 more answers