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laila [671]
3 years ago
8

Simplify (10 + 15i) – (48 – 301)

Mathematics
1 answer:
a_sh-v [17]3 years ago
4 0

Answer:

-38+45i

Step-by-step explanation:

(10+15i)-(48-30i)

10+15i-48+30i

-38+15i+30i

-38+45i

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Simplify (4x-6)-(3x+6)
DaniilM [7]

Answer:

x-12

Step-by-step explanation:

First open the brackets

=(4x-6)-(3x+6)\\\\\\=4x-6-3x-6

Then collect the like terms

4x-3x-6-6

Solve the like terms

4x-3x=x\\\\\\-6-6=-12\\\\\\=x-12

The simplified form is

x-12

3 0
3 years ago
How many hours would someone who earns 6.25 per hour have to work to earn 225.65
Mars2501 [29]

That comes to 225.65 /  6.25

= 36.1 hours

6 0
3 years ago
Add to check 512,274-96,473
HACTEHA [7]

Answer:

415,801

Step-by-step explanation:

415,801 + 96,473 = 512,274

5 0
3 years ago
a A boat is heading towards a lighthouse, where Lillian is watching from a vertical distance of 145 feet above the water. Lillia
Stells [14]

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The distance from point A to point B is 763.752ft.

<h3>What is Tangent (Tanθ)?</h3>

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

A.) The distance between the boat and the lighthouse when the angle of depression is 10°.

Tan(10°) = Height of lighthouse/ distance between the boat and the lighthouse

Distance between the boat and the lighthouse

= 145/Tan(10°) = 822.336ft

B.) The distance between the boat and the lighthouse when the angle of depression is 68°.

Tan(68°) = Height of lighthouse/ distance between the boat and the lighthouse

Distance between the boat and the lighthouse

= 145/Tan(68°) = 58.584ft

The distance between point A and B = 822.336ft - 58.584ft = 763.752 ft

Hence, the distance from point A to point B is 763.752ft.

Learn more about Tangent (Tanθ):

brainly.com/question/10623976

#SPJ1

7 0
2 years ago
20 POINTS PLEASEEEE Jessica is bisecting a segment. First, she places the compass on one endpoint and opens it to a width larger
SVETLANKA909090 [29]

9514 1404 393

Answer:

  (a) Swing an arc on either side of the segment.

Step-by-step explanation:

The purpose of placing the compass setting its width is to draw an arc. The next step is ...

  Swing an arc on either side of the segment

8 0
3 years ago
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