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Vitek1552 [10]
3 years ago
13

(2x3z2)3 ------------------ x3y4z2 * (x-4z3)

Mathematics
1 answer:
Komok [63]3 years ago
8 0
The rules of exponents tell you to add exponents in the numerator and subtract those in the denominator. A power of a power causes the exponent to be multiplied.

\dfrac{(2x^{3}z^{2})^{3}}{x^{3}y^{4}z^2x^{-4}z^{3}}=2^{3}x^{(3\cdot3-3-(-4))}y^{-4}z^{(2\cdot3-2-3)}\\\\=\dfrac{8x^{10}z}{y^{4}}
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The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times
almond37 [142]

Answer:

First angle = 30°

Second angle = 60°

Third angle = 90°

Step-by-step explanation:

x + y + z = 180

y + z = 5x

z = y + 30

then:

y + (y+30) = 5x

2y + 30 = 5x

x = (2y+30)/5

then:

x + y + z = 180

{(2y+30)/5} + y + y+30 = 180

{(2y+30)/5} + 2y + 30 = 180

{(2y+30)/5} = 180 - 30 - 2y

{(2y+30)/5} = 150 - 2y

2y+30 = 5(150-2y)

2y+30 = 5*150 + 5*-2y

2y+30 = 750 - 10y

2y + 10y = 750 - 30

12y = 720

y = 720/12

y = 60°

x = (2y+30)/5

x = (2*60 + 30)/5

x = (120+30)/5

x = 150/5

x = 30°

z = y + 30

z = 60 + 30

z = 90°

Check:

x + y + z = 180°

30° + 60° + 90° = 180°

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3 years ago
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blondinia [14]

Answer:

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Step-by-step explanation:

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2 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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Snoopy the dog is on a 11-ft long chain that is attached to the corner of a garage (see the picture below). If the chain does no
seropon [69]
11*2 = 22 (calculating the diameter)

Using πD for the area:
π * 22 = 22π

Getting 3/4 of the area because the dog can not move past the corners of the garage;

22π * 3/4 = 16.5π

Getting the answer in feet^2:
16.5 * 3.14 = 51.84 feet^2

Hope this helps! :)
5 0
3 years ago
The measure of a base isosceles triangle is 43? what is the measure of the vertex angle
Anestetic [448]

Answer:

The vertex angle is 94 degrees

Step-by-step explanation:

Let the vertex angle be x

Mathematically, the base angles of an isosceles triangle are the same

So if one of the base angles is 43 degrees, then the other base angle would be 43 degrees too

Mathematically, the sum of angles in a triangle is 180 degrees

Thus;

43 + 43 + x = 180

x = 180-86

x = 94 degrees

4 0
3 years ago
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