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2 years ago

13

Complete the statement to describe the expression abc + def

1 answer:

laila [671]2 years ago

4 0

Answer:

What statement?

abc + def = def+ abc??

Step-by-step explanation:

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Find the fourth roots of 256(cos 240° + i sin 240°).

Mashcka [7]

Answer with Step-by-step explanation:

We are given that

We have to find the fourth roots of given complex number.

$(256)^{\frac{1}{4}}=(4^4)^{\frac{1}{4}}=4^^{\frac{1}{4}\times 4}=4$

By using the formula

$(a^b)^x=a^{bx}$

$\theta=240^{\circ}$

$\theta=\frac{240}{4}=60^{\circ}$

Angle of rotation= $\frac{360}{4}=90^{\circ}$

Therefore, the four roots of given complex number are

$4(cos 60^{\circ}+i sin60^{\circ})$

$4(cos150^{\circ}+i sin150^{\circ})$

$4(cos240^{\circ}+isin 240^{\circ})$

$4(cos330^{\circ}+i sin330^{\circ})$

8 0

2 years ago

Anyone know how to do it

Morgarella [4.7K]

Answer:

Surface area of cube = 6x²

surface area of cube = surface area of sphere

it means that 6x²=4πr²

x²=

$\frac{4\pi {r}^{2} }{6} = \frac{4 \pi9}{6} = \frac{4\pi3}{2} = 6\pi$

$x = \sqrt{6\pi}$

$\sqrt{6\pi} = \sqrt{k\pi}$

$6\pi = \pi \: k$

$k = 6$

4 0

1 year ago

The store paid $2. 70 for a book and sold it for $6. 20. What is the profit as a percent?.

bogdanovich [222]

Answer:

profit = 129.63% (to the nearest hundredth) as a percent of the price the store paid for the book

Step-by-step explanation:

Use the percentage change formula:

percent change = [ (difference between the initial value and the final value) ÷ initial value] x 100

= [ (6.20 - 2.70) ÷ 2.70 ] x 100

= [ 3.5 ÷ 2.70 ] x 100

= 37/27 x 100

= 129.6296296...

= 129.63% (to the nearest hundredth)

5 0

1 year ago

Acone has a height of 7 ft and a radius of 4 ft. Which equation can find the volume of the cone?

Marina86 [1]

Answer:

Volume of the cone = $117.06\,feet^3$

Step-by-step explanation:

Height of the cone = $7\,feet$

Radius of the cone = $4\,feet$

Volume of a cone is:

$\pi \times r^2\times \dfrac{h}{3}$

As, $\pi =\dfrac{22}{7} =3.14$

Volume is:

$=3.14\times(4\times 4)\times \dfrac{7}{3}\\\\ =3.14\times 16 \times 2.33\\\\=3.14\times 37.28\\\\=117.06\,feet^3$

The volume of the cone is: $117.06\,feet^3$

3 0

2 years ago

Solve 9(t-7)=u for t<br> Show all solving steps.

Gwar [14]

$\begin{gathered}\\ \sf\longmapsto 9(t-7)=u\end{gathered}$

$\begin{gathered}\\ \sf\longmapsto 9t-63=u\end{gathered}$

$\begin{gathered}\\ \sf\longmapsto 9t=u+63\end{gathered}$

$\begin{gathered}\\ \sf\longmapsto \frac{9t}{9}=\frac{u+63}{9}\end{gathered}$

$\begin{gathered}\\ \sf\longmapsto t=\frac{u+63}{9} \end{gathered}$

$\begin{gathered}\\ \sf\longmapsto t=\frac{u}{9}+7\end{gathered}$

3 0

2 years ago

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