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liq [111]
4 years ago
13

Perform the indicated operation and write the result in the form a+bi. -9i(-9i+4)+3(8+8i)

Mathematics
2 answers:
tatuchka [14]4 years ago
4 0

- 57 - 12i

distribute the parenthesis

= 81i² - 36i + 24 + 24i

[ note that i² = (√- 1 )² = - 1 ]

= - 81 - 36i + 24 + 24i ( collect like terms )

= - 57 - 12i



irina [24]4 years ago
3 0

Answer:

D^^

Step-by-step explanation:

Edge

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The angle of depression from a bird sitting on top of a telephone pole to the base of a tree is 63 degrees if the telephone pole
Andre45 [30]

Answer:

9.17 feet.

Step-by-step explanation:

See the diagram attached to this answer.

Let, AB is the pole and CD is the tree.

From the top of the pole to the base of the tree the angle of depression as per the condition is 63°.

So, ∠ EBC = ∠ ACB = 63° {Since, BE ║ AC}

So, from Δ ABC, \tan 63 = \frac{AB}{AC} = \frac{18}{AC} {Given height of the tower AB = 18 feet}

⇒ AC = \frac{18}{\tan 63} = 9.17 feet.

Therefore, the distance between the pole and the tree is 9.17 feet. (Answer)

6 0
3 years ago
A poultry farm has only chickens and pigs. When the manager of the poultry counted the heads of the stock in the farm, the numbe
sweet-ann [11.9K]

Answer: i think its 80

Step-by-step explanation:

i rounded

6 0
3 years ago
The equation below model the numbers of two portable music players (y) and days after both players were introduced (x).
soldier1979 [14.2K]

Answer:

a. On the 13th day

b. 2,451 players we’re sold on that day

Step-by-step explanation:

a. The day in which the company sold the same number of players can be calculated by equating the values of y that we have ;

y = 191x-32 and y = -x^2 + 200x + 20

Equating both, we have;

191x-32 = -x^2 + 200x + 20

x^2 -200x + 191x-20-32 = 0

x^2-9x-52 = 0

x^2-13x + 4x -52 = 0

x(x-13)+4(x-13) = 0

(x-13)(x+4) = 0

x = 13 or -4

as days cannot be negative we choose only x = 13

This means the company sold equal numbers of players on the 13th day

b. To get the number of players sold on that day, we choose any of the y equation and substitute x = 13

Thus, we have for y = 191x -32; 191(13) - 32 = 2,451 players

4 0
3 years ago
The plane is tiled by congruent squares of side length $a$ and congruent pentagons of side lengths $a$ and $\frac{a\sqrt{2}}{2}$
umka2103 [35]

The percentage of this plane that's enclosed by the pentagons is closest to: D. 56.

<h3>How to determine the percentage?</h3>

Since the side of the small square is a, then the area of the tile is

given by:

Area of tiles = 9a²

<u>Note:</u> With an area of 9a², 4a² is covered by squares while 5a² by pentagons.

This ultimately implies that, 5/9 of the tiles are covered by pentagons and this can be expressed as a percentage as follows:

Percent = 5/9 × 100

Percent = 0.555 × 100

Percent = 55.5 ≈ 56%.

Read more on area of square here: brainly.com/question/8902873

#SPJ1

Complete Question:

The plane is tiled by congruent squares of side length a and congruent pentagons of side lengths a and a²/a, as arranged in the diagram below. The percent of the plane that is enclosed by the pentagons is closest to (A) 50 (B) 52 (C) 54 (D) 56 (E) 58

3 0
2 years ago
Determine if the two triangles are congruent. If they are, state how you know.
olga55 [171]
9)The triangles are congruent as they share all sides as seen with the lines (SSS)
10) they are not congruent as they only share 2 sides not all 3
11)they are congruent by using the Angle Side Angle, they share a vertices
12)they are congruent, by using the side angle side
13)They are congruent by using side side side, one is shared between the two
14)they are congruent by using the angle side angle
6 0
3 years ago
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