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Mashcka [7]
3 years ago
13

Simplify 3 over quantity of 5 minus 6 i . (1 point)

Mathematics
1 answer:
julsineya [31]3 years ago
5 0

3/(5 - 6i)

To simplify this, we need to multiply both sides by the conjugate of the denominator, which is 5 + 6i

3(5 + 6i)

Distributive property.

15 + 18i

(5 - 6i)(5 + 6i)

25 + 30i - 30i - 36i^2

25 - 36i^2

i^2 = -1

25 + 36

61


<h3><u>The simplified expression is (15/61) + (18i/61).</u></h3>
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Kendra earns $11.60 per hour working at the movie theater. Each week, she donates of
stich3 [128]

Answer:

$9.86

Step-by-step explanation:

First, write both numbers in the same form. Convert 8

1

2

to a decimal.

8

1

2

= 8+

1

2

= 8+

1×5

2×5

= 8+

5

10

= 8+0.5

= 8.5

Multiply.

11.6

× 8.5

580

+ 9280

98.60

Kendra earned $98.60 last week.

Now multiply to find how much money Kendra donated to the charity last week. She earned $98.60, and she donates  

1

10

of her earnings each week.

First, write both numbers in the same form. Convert  

1

10

to a decimal.

1

10

=0.1

Multiply.

98.6

× 0.1

9.86

Kendra donated $9.86 to the charity last week.

7 0
4 years ago
Use the information provided to calculate the different parts of the proposal: The lazy river is basically a large circle that w
Step2247 [10]

Answer:

10,995.6 ft^3.

2300.3 gallons.

(both to the nearest tenth).

Step-by-step explanation:

Area of the surface of the river =  area of the  outer circle - area of the inner circle.

Radius of the outer circle  = 30 *3 = 90 feet.

So the surface area of the river = π(90)^2 - π(85)^2

= 875π ft^2

Also the volume of the river = surface area * depth = 875π*4 = 3500π ft^3

= 10,995.6 ft^3.

Number of gallons of water it will hold = 10,995.6 /  4.78

= 2300.3 gallons.

4 0
4 years ago
How do I solve the multi step problem 8.5 - 1.2x = 6.7
LekaFEV [45]
First subtract 8.5 from both sides, then divide the -1.2 to get x by itself 


x=1.5
3 0
3 years ago
The average length of a ladybug can range from 0.08 to 0.4 inches. Find two lengths that are within the given span.Write them as
Alenkinab [10]
The average length of a ladybug can range from 0.08 to 0.4 inches.

So two lengths within the given span are 0.1 inch and 0.3 inches.

In  \: fraction: \\  \\ 0.1 \: inch =  \frac{1}{10}  \: inch \\  \\ 0.3 \: inch =  \frac{3}{10}  \: inch
7 0
3 years ago
Given the slope a slope of 2 and a y-intercept of 7, write the equation in slope intercept form
MariettaO [177]

Answer:

y = 2x + 7

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

4 0
3 years ago
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