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lidiya [134]
4 years ago
15

Simplify the expression: (4 + 3i)(2 – 8i). 32 - 26 -16 + 26 32 + 381 -16 + 38

Mathematics
1 answer:
alex41 [277]4 years ago
4 0

Answer:

32-26i

Step-by-step explanation:

(4+3i)(2-8i)

8+6i-32i-24i^2

8-26i-24(-1)

8-26i+24

-26i+32

Remember that i^2=-1.

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A thermos in the shape of a cylinder is filled with coffee. The height of the cylinder is 12 inches and its radius is 2 inches.
serg [7]

Answer:

The  volume of coffee in the thermos is 150.72 inches³ .

Step-by-step explanation:

Formula

Volume\ of\ a\ cylinder = \pi r^{2}\ h

Where r is the radius and h is the height .

As given

A thermos in the shape of a cylinder is filled with coffee.

The height of the cylinder is 12 inches and its radius is 2 inches.

As

\pi = 3.14

Put all the value in the formula

Volume\ of\ a\ cylinder = 3.14\times 2\times 2\times 12

                                              =  150 .72 inches ³

Therefore the volume of coffee in the thermos is  150 .72 inches ³ .

3 0
3 years ago
HELP plz!!!!!
Svet_ta [14]

Answer:

the telephone polé is 24ft.

Step-by-step explanation:

30^2-18^2=b^2

900-324=b^2

576=b^2

\sqrt[576]=sqrt(b^2]

24=b

b=hight of telephone

7 0
3 years ago
Read 2 more answers
All in image, please help asap
vfiekz [6]

The angle that is same side exterior angle to ∠ABC is ∠EFH.

<h3>How to find angles?</h3>

When parallel line are cut by a transversal line, angle relationships are formed such as corresponding angles, vertically opposite angles, alternate angles, same interior angles, etc.

AD and EG are parallel to each other.

CH is a transversal line to the parallel lines.

Therefore, let's find the angle that has the same relationship as same side exterior angles as angle ABC.

Two angles that are exterior to the parallel lines and on the same side of the transversal line are called same-side exterior angles.

Same side exterior angles are supplementary.

Therefore,

∠ABC and ∠EFH are same side exterior angles.

learn more on angles here: brainly.com/question/24755745

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4 0
1 year ago
Simplify! (a^3b)(abc)<br><br> A) a^2bc^5<br> B) a^4b^2<br> C) a^4b^2c<br> D) a^4bc
fenix001 [56]

Answer:

a^{3}*b*(abc)=a^{4} * b^{2} * c

Step-by-step explanation:

you use the distributive property

7 0
3 years ago
Read 2 more answers
Tricia had 4 1/8 yards of fabric to make curtains. When she finished she had 2 3/8 yards of fabric left. She said she used 2 2/8
ElenaW [278]
Well for this you have to do 4 1/8 - 2 3/8. You cannot subtract 1 - 3, so you have to take away 1 from three and add 8 to 1 so now the equation is 3 9/8 - 2 3/8. This is equal to 1 6/8 or 1 3/4, so no, she did not use 2 2/8 yards of fabric.
7 0
3 years ago
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