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3 years ago

Divide (3+2i)/(-4+5i). express answer in standard form

1 answer:

8 0

$\dfrac{3+2i}{-4+5i}=\dfrac{(3+2i)(-4-5i)}{(-4+5i)(-4-5i)}=\dfrac{-12-15i-8i-10i^2}{(-4)^2-(5i)^2}\\\\=\dfrac{-12-23i+10}{16+25}=\dfrac{-2-23i}{41}=-\dfrac{2}{41}-\dfrac{23}{41}i$

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Which is the measure of the reference angle for 227 degrees ?

Levart [38]

Answer:

C. 47°

Step-by-step explanation:

The angle between the terminal ray of 227° and the nearest x-axis (the negative x-axis) is ...

227° -180° = 47°

The reference angle is 47°.

_____

In mathematical terms the reference angle is the minimum of the angle modulo 180° and the supplement of that angle.

227° modulo 180° = 47°

180° -47° = 133° . . . . supplement of 47°

min(47°, 133°) = 47° . . . the reference angle

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3 years ago

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3 years ago

1) Which is the image of (2, 3) under a 180 degree rotation about the<br> origin?

Blababa [14]

Answer:

(-2,-3)

Step-by-step explanation:

Hope this helps!

6 0

3 years ago

Armold can<br> do 65 push up in five minutes how many can be do in one

netineya [11]

Answer:

He can do 13 push ups in one

Step-by-step explanation:

If he can do 65 in 5 and you have to find for one its like finding the unit rate.

So you have to divide the 65 he can do in 5 by 5 so 65÷5

Once you do this you'll get 13 which is how much he does in one

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4 years ago

Two planes leave an airport at the same time. Thier speeds are mph 130 and 150 mph, and the angle between thier courses is 36 de

Reil [10]

Answer:

132.89 miles

Step-by-step explanation:

Let plane A travel at 130 mph and plane B travel at 150 mph.

After 1.5 hours, the total distance traveled by each plane is:

$A = 1.5 *130\\A = 195\ miles\\B = 1.5 *150\\B = 225\ miles$

The law of cosines can be used to find the distance (D) between both planes as follows:

$D^2 = A^2+B^2-2AB*cos(36)\\D=\sqrt{195^2+225^2-(2*195*225*cos(36))}\\D=132.89\ miles$

They are 132.89 miles apart after 1.5 hours.

5 0

3 years ago