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lilavasa [31]
1 year ago
14

7. answer please and thank u

Mathematics
1 answer:
Fantom [35]1 year ago
5 0

The measure of the missing side is 3x^3 +2x - 7y + 9

<h3>Perimeter of a triangle</h3>

The perimeter of a triangle is equal to the sum of all the sides of the triangle. Mathematically;

P = s1 + s2 + s3

where;

s1 = s2 = -8x^3 + 2

P = -13x^3 + 2x - 7y + 3

Substitute the given parameters

-13x^3 + 2x - 7y + 3 = s3. + 2(-8x^3 + 2)

-13x^3 + 2x - 7y + 3 = s3 - 16x^3 -4

s3 =  -13x^3 + 2x - 7y + 3 + 16x^3 + 6

s3 = 3x^3 +2x - 7y + 9

Hence the measure of the missing side is 3x^3 +2x - 7y + 9

learn more on perimeter of triangle here: brainly.com/question/24382052

#SPJ1

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What is the complex number z=−3+3√3i represented in polar form?<br><br><br> z=____cis(____)
maks197457 [2]

Answer:

<h2>6cis120°</h2>

Step-by-step explanation:

The general form of a complex number z = x+iy

If x = rcos\theta and y = rsin\theta

where r is the modulus of the complex number and \theta is the argument, z in polar form is represented as:

z =  rcos\theta+ rsin\theta

z = r(cos\theta+ isin\theta)

z = rcis\theta

Given the complex number z=−3+3√3i

r = \sqrt{x^{2}+y^{2}  }

r = \sqrt{(-3)^{2}+(3\sqrt{3})^{2}  } \\r = \sqrt{9+27} \\r = \sqrt{36}\\ r = 6

argument\\\theta = arctan \frac{y}{x} \\\theta = arctan \frac{3\sqrt{3} }{-3} \\\theta = arctan {-\sqrt{3} } \\\theta = -60 \deg

since the argument is negative and tan is negative in the 2nd and 4th quadrant,

In the second quadrant, theta = 180- 60 = 120°

On substituting r and theta, the complex number in polar form is expressed as 6cis120°

3 0
3 years ago
How is the measure of an arc related to its central angle?
KATRIN_1 [288]

Answer:

Arc Measure: In a circle, the degree measure of an arc is equal to the measure of the central angle that intercepts the arc. Arc Length: In a circle, the length of an arc is a portion of the circumference. The letter "s" is used to represent arc length.

Step-by-step explanation:

4 0
3 years ago
Write a real world problem for 8x=48
Evgen [1.6K]

Answer:

the total number of profits made at the fair was $48. each person had to pay $8 to get in. how many people were at the fair

Step-by-step explanation:

8 0
3 years ago
Can anybody help me please
klio [65]

Answer:

x    y

0   -1

-1    0

-8    7

Step-by-step explanation:

y = -x - 1

when x = 0, y = -1

when y = 0

0 = -x - 1

x = -1

when x = -8,

y = -(-8) - 1

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8 0
3 years ago
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Find the volume of the rectangular prism.<br> 9 cm<br> 9 cm<br> 9 cm
cricket20 [7]

Answer:

3672 cm^3

Step-by-step explanation:

There is a typo in the question, the lengths of the sides of the prism are:

24 cm

9 cm

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(otherwise, if all sides were 9 cm, it would be a cube, not a prism)

The volume of a rectangular prism is given by:

V=l\cdot w\cdot h

where:

l is the length of the prism

w is the width of the prism

h is the height prism

In this problem,

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Therefore, the volume of the prism is:

V=24\cdot 9 \cdot 17 = 3672 cm^3

3 0
3 years ago
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