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3 years ago

Help help help help help Select the equivalent expression (3^2x5^3

Mathematics

2 answers:

AVprozaik [17]3 years ago

6 0

The answer is 9 3⁶ x 5³

(3² x 5)³= 91125

3⁶ x 5³ = 91125

swat323 years ago

5 0

Answer:

Step-by-step explanation:

(3^2x5)^3=91125

3^6x5^3=91125

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Use DeMoivre's Theorem to find (3cis*pi/6)^3

Sonbull [250]

The correct value of (3cis(pi/6))³ is 27i.

<h3>What is Complex Number?</h3>

Complex numbers are numbers that consist of two parts — a real number and an imaginary number. Complex numbers are the building blocks of more intricate math, such as algebra.

Given the complex number in polar coordinate expressed as

z = r(cos∅+isin∅)

zⁿ = {r(cos∅+isin∅)}ⁿ

According to DeMoivre’s Theorem;

zⁿ = rⁿ(cosn∅+isinn∅)

Given the complex number;

(3cis(pi/6))³

= {3(cosπ/6 + isinπ/6)}³

Using DeMoivre’s Theorem;

= 3³(cos3π/6 + isin3π/6)

= 3³(cosπ/2 + isinπ/2)

= 3³(0 + i(1))

= 27i

Thus, the correct value of (3cis(pi/6))³ is 27i.

Learn more about Complex number from:

brainly.com/question/10251853

#SPJ1

7 0

2 years ago

Upon descent, an airplane is 20,000 feet above the ground. The air traffic control tower is 200 feet tall. It is determined that

PIT_PIT [208]

Answer:

Base length of plane from control tower = 73,880 feet (Approx.)

Step-by-step explanation:

Given:

Height of plane from ground = 20,000 feet

Height of control tower = 200 feet

Angle of elevation from control tower = 15°

Find:

Base length of plane from control tower

Computation:

Height of plane from control tower = 20,000 - 200

Height of plane from control tower = 19,800 feet

Tan θ = Perpendicular / Base

Tan15 = 19,800 / Base length of plane from control tower

0.268 = 19,800 / Base length of plane from control tower

Base length of plane from control tower = 73,880 feet (Approx.)

6 0

3 years ago

Please help me understand

nalin [4]

Answer:

(x +2)(2x +1)

Step-by-step explanation:

The factors are the set of tiles down the left side: x + 1 + 1 = (x +2), and the set of tiles across the top: x + x + 1 = (2x +1)

Your factored form is shown in choice D:

(x +2)(2x +1)

_____

<em>Additional comment</em>

The point of this sort of diagram is to show you how the factors work together to give you the product. Each tile in the middle of the figure represents the product of the tile on the top line and the tile in the left column.

The product of x and x is x².

The product of 1 and x is x.

The product of 1 and 1 is 1.

The product of the two factors is the sum of all the tiles in the middle of the diagram: 2x² +5x +2.

3 0

2 years ago

Find the slope of the line through the. Given points 1,2 7,7

olasank [31]

Good morning ☕️

Answer:

$\frac{5}{6}$

Step-by-step explanation:

the line passes through the points (1 , 2) and (7 , 7)

then

$Slope=\frac{7-2}{7-1} =\frac{5}{6}$

____________

7 0

3 years ago

HELP ASAP!! Please.. will give brainliest if correct :)

Ganezh [65]

Slope = rise / run = 2/3
y intercept = + 3

so its

y = 2/3 x + 3

7 0

4 years ago