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3 years ago

Which equation can be used to solve the problem?

Mathematics

1 answer:

viktelen [127]3 years ago

5 0

Answer:

see below

Step-by-step explanation:

75% of what number is 150

75 150

----- = ---------

100 x

75*2 = 150

So multiply the left by 2/2

75*2 150

----- = ---------

100*2 x

150

------

200

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PLEASE HELP!!!

Aleksandr [31]

Answer:

What was the result of civil wars breaking out in countries such as Honduras, Nicaragua, Guatemala, and El Salvador in the 1970s?

increased spread of famine

increased trade with other nations

the rebirth of enslavement

the deaths of many people

Step-by-step explanation:

5 0

3 years ago

Kelly's test score is 6 points higher than Mike's

Anna35 [415]

Answer:

Lets mikes point be M

Therefore Kelly's point=M+6

8 0

3 years ago

4.5kg of oranges and 3kg of apples cost a total of £3.87 2.5kg of oranges cost £1.40 Work out the cost of 1kg of apples.

PolarNik [594]

Answer:

=£0.516 is 1 kg of apples

5 0

3 years ago

Which expression is a cube root of -1+i√3?

Tpy6a [65]

Answer:

<em>The correct option is C.</em>

Step-by-step explanation:

<u>Root Of Complex Numbers</u>

If a complex number is expressed in polar form as

$Z=(r,\theta)$

Then the cubic roots of Z are

$\displaystyle Z_1=\left(\sqrt[3]{r},\frac{\theta}{3}\right)$

$\displaystyle Z_2=\left(\sqrt[3]{r},\frac{\theta}{3}+120^o\right)$

$\displaystyle Z_3=\left(\sqrt[3]{r},\frac{\theta}{3}+240^o\right)$

We are given the complex number in rectangular components

$Z=-1+i\sqrt{3}$

Converting to polar form

$r=\sqrt{(-1)^2+(\sqrt{3})^2}=2$

$\displaystyle tan\theta=\frac{\sqrt{3}}{-1}=-\sqrt{3}$

It's located in the second quadrant, so

$\theta=120^o$

The number if polar form is

$Z=(2,120^o)$

Its cubic roots are

$\displaystyle Z_1=\left(\sqrt[3]{2},\frac{120^o}{3}\right)=\left(\sqrt[3]{2},40^o\right)$

$\displaystyle Z_2=\left(\sqrt[3]{2},40^o+120^o\right)=\left(\sqrt[3]{2},160^o\right)$

$\displaystyle Z_3=\left(\sqrt[3]{2},40^o+240^o\right)=\left(\sqrt[3]{2},280^o\right)$

Converting the first solution to rectangular coordinates

$z_1=\sqrt[3]{2}(\ cos40^o+i\ sin40^o)$

The correct option is C.

8 0

3 years ago

The circumference of the following circle is 18 inches.

horrorfan [7]

The arc length in degrees is 53 degrees
to find the legth find the fraction of the circle the arc is, this would be 53/360

multiply that by the circumference to find the length:

53/360 * 18 = (53*18) / 360 = 954 / 360 = 2.65 inches

4 0

3 years ago