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3 years ago

How can we get rid of i in the denominator?

Mathematics

1 answer:

Sloan [31]3 years ago

8 0

Answer:

When you have an imaginary number in the denominator multiply the numerator and the denominator by the conjugate of the denominator.

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Find AB. Round to the nearest tenth. 61°

anzhelika [568]

Answer:

AB ≈ 14.3

Step-by-step explanation:

We're given two sides (BC and CA) and an angle (C) between them; the law of cosines is a good tool for calculating the third side of the triangle here. To remind you, the law of cosines tells us the relationship between the sides of a triangle with side lengths a, b, and c:

$c^2=a^2+b^2-2ab\cos{C}$

Where C is the angle between sides a and b. c is typically the side we're trying to find, so on our triangle, we have

$c=AB\\a=BC=16\\b=CA=5\\C=m\angle C=61^{\circ}$

Substituting these values into the law of cosines:

$c^2=16^2+5^2-2(16)(5)\cos{61^{\circ}}\\c^2=256+25-160\cos{61^{\circ}}\\c^2=281-160\cos{61^{\circ}}\\c=\sqrt{281-160\cos{61^{\circ}}}\\c\approx 14.3$

6 0

3 years ago

Read 2 more answers

Please help. due today.

guapka [62]

Answer:

1, 1/2, 1 1/2

Step-by-step explanation:

Question 1

20 divided by 18 is 1.1

So the answer is closest to 1

Question 2

9 divided by 20 is 0.45

So the answer is closest to 1/2

Question 3

7 divided by 5 is 1.4

So the answer is closest to 1 1/2

Hope this helps!

3 0

2 years ago

At which root does the graph of f(x) = (x + 4)(x + 7,5) cross the x-axis? -7 -4 4 7

Alona [7]

Answer:

Answer: -7

Step-by-step explanation:

5 0

1 year ago

A ball is dropped from a height of 14 ft. The elasticity of the ball is such that it always bounces up one-third the distance it

Korvikt [17]

Answer:

Hello,

742/27 (ft)

Step-by-step explanation:

$h_1=14\\\\h_2=\dfrac{14}{3} \\\\h_3=\dfrac{14}{9} \\\\h_4=\dfrac{14}{27} \\\\$

$d=14+2*\dfrac{14}{3} +2*\dfrac{14}{9} +2*\dfrac{14}{27} \\=14*(1+\dfrac{1}{3}+\dfrac{2}{9} +\dfrac{2}{27} )\\=14*\dfrac{53}{27} \\=\dfrac{742}{27} \\$

5 0

2 years ago

Use co.patible numbers to find two estimates 73÷4,858

Svet_ta [14]

NO.2 answer is 5088.052869

6 0

3 years ago