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tia_tia [17]
3 years ago
15

Smplify the expression: 5+6i/4+6i

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
5 0
The answer would be 5 + 15i/2.

1. 5 + 3i/2 + 6i

2. 5 + (3/2i + 6i)

3. 5 + 15i/2.
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Which set of data contains two outliers?
Alisiya [41]

Answer:

101, 135, 131, 99, 138, 136, 140

7 0
3 years ago
A circle fits inside a semicircle of diameter 24mm
patriot [66]

Answer:

The shaded are is 113\ mm^{2}

Step-by-step explanation:

we know that

The shaded area is equal to the area of the semicircle minus the area of the circle inside the semicircle

step 1

Find the area of semicircle

The area of semicircle is equal to

A=\frac{1}{2}\pi r^{2}

where

r=24/2=12\ mm ----> the radius is half the diameter

substitute

A=\frac{1}{2}\pi(12)^{2}=72\pi\ mm^{2}

step 2

Find the area of the circle inside the semicircle

The area of circle is equal to

A=\pi r^{2}

where

r=12/2=6\ mm ---> the radius of circle inside is half the radius of semicircle

substitute

A=\pi(6)^{2}=36\pi\ mm^{2}

step 3

Find the shaded area

72\pi\ mm^{2}-36\pi\ mm^{2}=36\pi\ mm^{2}

assume

\pi=3.14

36(3.14)=113.04\ mm^{2}

3 significant figures is

113\ mm^{2}

6 0
3 years ago
Lori brought sunglasses and flip-flops at a half-off sale.If she spent a total of $21 on the two items, what was the original pr
Ivan

The sunglasses were originally priced at $ 21.

Given that Lori brought sunglasses and flip-flops at a half-off sale, to determine, if she spent a total of $ 21 on the two items, what was the original price of the sunglasses (taking into account that they both cost the same) will be you must perform the following calculation:

  • 50 = 21
  • 100 = X
  • 100 x 21/50 = X
  • 2100/50 = X
  • 42 = X

Thus, the total price of both goods is $ 42, which, divided in half, results in $ 21 (42/2).

Therefore, the sunglasses were originally priced at $ 21.

Learn more in brainly.com/question/731526

8 0
3 years ago
Suppose you rent a limousine for a formal reception. The bill for the evening is $53.00. A tax of 6% will be added, and you want
kramer
A=tip 1
b=tip 2
t=total tip
c-total cost

a+b=t
53+t=c

53*.06=a
53*.20=b
a=3.18
b=10.60

t=3.18+10.60
t=13.78

c=53+13.78
total cost=$66.78
6 0
4 years ago
What is the slope of the line represented by the equation y = 4/5x-3
icang [17]

Answer:

<em>m</em> = 4/5

General Formulas and Concepts:

<u>Algebra I</u>

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define Equation</u>

y = 4/5x - 3

<u>Step 2: Break Function</u>

<em>Identify Parts</em>

Slope <em>m</em> = 4/5

y-intercept <em>b</em> = -3

7 0
3 years ago
Read 2 more answers
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