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3 years ago

a side of the triangle below has been a extended to form an exterior angle of 159°. find the value of x

Mathematics

1 answer:

Mashcka [7]3 years ago

6 0

Answer:

Step-by-step explanation:

Find the the angle by subtracting 159 from 180 that’s your answer= 21 degrees

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Determine the correct set up for solving the equation using the quadratic formula.

netineya [11]

Answer: B

Begin by simplifying the given equation, so it's rearranged into standard form. Move all the terms onto one side, so they equal 0. This would result with $4x^{2}$ -3x-9=0. Quadratic formula is (-b±√(b²-4ac))/(2a). Standard form follow this variable format: $ax^{2}$ +bx+c. Use the numbers that correspond with each variable to substitute them into the quadratic formula. This would be

(-(-3)±√(-3²-4(4)(-9)/2(4).

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3 years ago

Sound intensity varies inversely as the square of the distance from the sound source. If you are in a movie theater and you chan

Aneli [31]

Hello.

The further away from the speakers you are the less intense the sound will be.

 If sound intensity varies inversely with the square of the distance, you can represent this as: 
I = 1/d^2 

If you double the distance: 
I = 1/(2d)^2 
I = 1/4d^2 
I = 1/4d^2 

so by doubling the distance, you have 1/4th the intensity.

Have a nice day

3 0

3 years ago

Read 2 more answers

An arc subtends a central angle measuring 2pi/3

RoseWind [281]

Answer:

1/3

Step-by-step explanation:

We know that angle subtended by whole circumference is $2\pi$ .

If r is the radius then Length of whole circumference is $2\pi r$

$2\pi$ radian has $2\pi r$ length

dividing both side by $2\pi$ we have

$2\pi /2\pi = 2\pi r/2\pi \ circumference$

1 radian has r length

1 radian = r length equation a

=> since we have to find value of circumference for $2\pi /3$ we

multiply both side of equation a with $2\pi /3$ .

$2\pi /3 \radian = r* 2\pi /3 \circumference$

therefore, length of required arc is $2\pi r/3$

________________________________________________

we have to find how much is this as fraction of total circumference of circle

fraction of circumference = value of arc length / total length of circumference

fraction of circumference = $=>(2\pi r/3) / 2\pi r\\=> 1/3$

Thus, the given arc is 1/3 of circumference of circle.

8 0

3 years ago

Simplify 13 over the quantity of negative 3 plus 2i.

frez [133]

A complex number in the denominator is eliminated by multiplying the fraction by 1 in the form of the conjugate of that denominator divided by itself.

$\dfrac{13}{-3+2i}=\dfrac{13}{-3+2i}\cdot \dfrac{-3-2i}{-3-2i}=\dfrac{13(-3-2i)}{(-3+2i)(-3-2i)}\\\\=\dfrac{13(-3-2i)}{(-3)^2-(2i)^2}=\dfrac{13(-3-2i)}{9+4}\\\\=-3-2i$

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A graphing or scientific calculator that handles complex numbers can do this simplification for you.

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3 years ago

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PLEASE HELP

Marat540 [252]

Here is the end behavior

4 0

3 years ago