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Mandarinka [93]
3 years ago
6

(3 - 91i) + (67) = Express your answer in the form (a - bi).

Mathematics
1 answer:
victus00 [196]3 years ago
6 0

9514 1404 393

Answer:

  70 -91i

Step-by-step explanation:

Collect terms the same way you would if i were a variable.

  (3 -91i) +67 = (3 +67) -91i = 70 -91i

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Regis leans a 10-foot ladder against a wall. The base of the ladder makes a 65 angle with the ground.
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The distance, In feet, from the base of the ladder to the base of the wall is 4.2 ft.

He needs to move the ladder 0.1 ft closer to the base of the building.

The situation forms a right angle triangle.

<h3>Right angle triangle</h3>

Right angle triangle has one of its angles as 90 degrees. The sides and angle can be found using trigonometric ratios.

The length of the ladder is the hypotenuse of the triangle formed. Therefore, the distance, In feet, from the base of the ladder to the base of the wall can be calculated as follows;

cos 65° = adjacent / hypotenuse

cos 65° = d / 10

d = 10 × 0.42261826174

d = 4.22618261741

d = 4.2 ft

She needs to move the ladder so it reached a window 9.6 feet above the ground. Therefore, the distance from the base of the ladder and the wall is as follows;

cos 65 = d / 9.6

d = 9.6 × 0.42261826174

d = 4.05696

d = 4.1

Therefore, he needs to move the ladder 0.1 ft closer to the building.

learn more on right angle triangle here: brainly.com/question/14988069

8 0
2 years ago
Which category would have the lowest conditional relative frequency?
lianna [129]
I think it might be B.. but i’m not sure bc I would think it would be amen who prefer dance
6 0
2 years ago
Draw the graph of the equation:<br>2(x - y) + 3y =4<br><br><br>pls Idk how to graph it:( helppp​
Karolina [17]

Answer:

i screenshoted the graph and equation in attached pic.

Step-by-step explanation:

5 0
3 years ago
there are 28 books on the shelf.one-fourth of the books are about animals. two are adventure. the rest are mystery.How many book
yanalaym [24]

Answer:

19

Step-by-step explanation:

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2 are adventure.

7+2 = 9

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3 years ago
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professor190 [17]

Answer:

Mode: 44 (mode is biggest number)

Mean: 30 (the average between numbers)

Step-by-step explanation:

Calculating the Mean

44 + 43 = 87

25 + 8 = 33

87 + 33 = 120

120 + 30 = 150

150/5 = 30

3 0
2 years ago
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