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jeka94
3 years ago
15

2. Find the solution set of the inequality:

Mathematics
1 answer:
m_a_m_a [10]3 years ago
8 0

Answer:

The answer is B

Step-by-step explanation:

I got a giid grade

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The side of each of the equilateral triangles in the figure is twice the side of the central regular hexagon. What fraction of t
lana [24]

Answer:

The fraction is 1/4

Step-by-step explanation:

we know that

The area of an equilateral triangle, using the law of sines is equal to

A=\frac{1}{2}x^{2}sin(60^o)

A=\frac{1}{2}x^{2}(\frac{\sqrt{3}}{2})

A=x^{2}\frac{\sqrt{3}}{4}

where

x is the length side of the triangle

In this problem

Let

b ----> the length side of the regular hexagon

2b ---> the length side of the equilateral triangle

step 1

Find the area of the six triangles

Multiply the area of one triangle by 6

A=6[x^{2}\frac{\sqrt{3}}{4}]

A=3x^{2}\frac{\sqrt{3}}{2}

we have

x=2b\ units

substitute

A=3(2b)^{2}\frac{\sqrt{3}}{2}\\\\A=6b^{2}\sqrt{3}\ units^2

step 2

Find the area of the regular hexagon

Remember that, a regular hexagon can be divided into 6 equilateral triangles

so

The area of the regular hexagon is the same that the area of 6 equilateral triangles

A=3x^{2}\frac{\sqrt{3}}{2}

we have

x=b\ in

substitute

A=3(b)^{2}\frac{\sqrt{3}}{2}

step 3

To find out what fraction of the total area of the six triangles is the area of the hexagon, divide the area of the hexagon by the total area of the six triangles

3(b)^{2}\frac{\sqrt{3}}{2}:6b^{2}\sqrt{3}=\frac{3}{2} :6=\frac{3}{12}=\frac{1}{4}

3 0
3 years ago
Help me out please.i will give brainly
tankabanditka [31]

Answer:

Hello! answer: 17

Step-by-step explanation:

Assuming this is the Pythagorean theorem our formula would be

a^2 + b^2 = c^2

meaning both of those sides multiplied by themselves added together will equal a number which is the result of c multiplied byitself sorry it sounds confused but...

15 × 15 = 225 8 × 8 = 64 225 + 64 = 289

the square root or the (number multiplied byitself that equals 289) is 17 because

17 × 17 = 289 so × = 17 I hope that helps!

7 0
3 years ago
Read 2 more answers
Is my answer correct? Even if it is tell me so. If it is not, explain the correct answer to me..
stira [4]
Ya it is ya it is ya it is ya it is ya it is ya it is ya it isya it isya it isya it isya it isya it isya it isya it isya it is<span>ya it is</span>
4 0
3 years ago
What is Quantum theory?
Mariana [72]

Answer:

a theory of matter and energy based on the concept of quanta, especially quantum mechanics.

Step-by-step explanation:

there really is no step by step explanation :)

8 0
3 years ago
Determine if the expression x2 + 1 is a
borishaifa [10]

Answer:

Yes it is,

Step-by-step explanation:

Degree 1 (Exp 1) and it has 2 elements (2X and 1)

7 0
3 years ago
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