Can I get some help please

Marco needs to buy some dog food at the nearest store five bags of dog food cost $27 and 50 Cent how much would Marco spin on th

igor_vitrenko [27]

Answer:

16.5

Step-by-step explanation:

27.50/5 =5.5x3=16.5

7 0

3 years ago

Which diagram below shows a complete construction of line m parallel to line n?

valina [46]

D is the correct answer

Parallel lines are two lines that are always the same distance apart and never touch.

4 0

4 years ago

Read 2 more answers

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

Tpy6a [65]

Answer:

The correct option is C.

Step-by-step explanation:

Root Of Complex Numbers

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

Pilar and Tom race home from the park. The graph shows how far each person is from home after a given amount of time.

ankoles [38]

Answer:

> - greater than

(ive done the test)

hope it helps :)

3 0

3 years ago

What is the volume of a hemisphere with a diameter of 51.8 inches rounded to the nearest 10th of a cubic inch?

lorasvet [3.4K]

Answer:

volume of a hemisphere ≈ 36369.5 in³

Step-by-step explanation:

To find the formula for calculating the volume of a hemisphere, we will follow the steps below:

write the formula for calculating the volume of a hemisphere.

volume of a hemisphere = volume of a sphere ÷2

= $\frac{4}{3}$ πr³ ÷ 2

= $\frac{2}{3}$ πr³

where r is the radius

from the question given, diameter = 51.8 inches

but diameter = 2r , this implies that r = $\frac{d}{2}$ hence r = $\frac{51.8}{2}$ = 25.9 inches

π is a constant and is ≈ 3.14

we can now proceed to insert the values into the formula

volume of a hemisphere = $\frac{2}{3}$ πr³

= $\frac{2}{3}$ × 3.14 ×25.9³

= $\frac{2}{3}$ × 3.14×17373.979

≈36369.5 in³ to the nearest tenth cubic inch.

volume of a hemisphere ≈ 36369.5 in³

3 0

4 years ago