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3 years ago

Simplify 3(-6+8i)-(2-12i)

Mathematics

2 answers:

jeyben [28]3 years ago

3 0

Answer:

-20+12i

Step-by-step explanation:

(-18+24i)-(2-12i)

-20+24i-12i

-20+12i

i = -1.666 or -1 and 2/3

taurus [48]3 years ago

3 0

Answer:

-20+11i

Step-by-step explanation:

3(-6+8i)-1 (2-12i)

-18+24i -2-13i

-20+11i

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3. A balancing balloon toy is in the shape of a hemisphere (half-sphere) attached to the base of a cone. If the toy is 4ft tall

Katen [24]

Answer:

The volume of the toy is $V=5.23\ ft^3$

Step-by-step explanation:

step 1

Find the volume of the hemisphere

The volume of the hemisphere is given by the formula

$V=\frac{2}{3}\pi r^{3}$

In this problem, the wide of the toy is equal to the diameter of the hemisphere

$D=2\ ft$

$r=2/2=1\ ft$ ----> the radius is half the diameter

substitute

$V=\frac{2}{3} \pi (1)^{3}=\frac{2}{3} \pi\ ft^3$

step 2

Find the volume of the cone

The volume of the cone is given by

$V=\frac{1}{3}\pi r^{2}h$

we know that

The radius of the cone is the same that the radius of the hemisphere

$r=1\ ft$

The height of the cone is equal to subtract the radius of the hemisphere from the height of the toy

$h=4-1=3\ ft$

substitute the given values

$V=\frac{1}{3}\pi (1)^{2}(3)=\pi\ ft^3$

step 3

Find the volume of the toy

we know that

The volume of the toy, is equal to the volume of the cone plus the volume of the hemisphere.

$V=(\frac{2}{3} \pi+\pi)\ ft^3$

$V=(\frac{5}{3}\pi)\ ft^3$

assume

$\pi=3.14$

$V=\frac{5}{3}(3.14)=5.23\ ft^3$

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3 years ago

Proof 17 is a irrational number

kupik [55]

Yes of course I think

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2 years ago

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ddd [48]

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3 years ago

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xxMikexx [17]

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3 years ago

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ki77a [65]

Answer:

A-C-G-U-A

Step-by-step explanation:

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3 years ago

Simplify 3(-6+8i)-(2-12i)​

Simplify 3(-6+8i)-(2-12i)