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3 years ago

Simplify the power of i. i78 A -1 B -i C 1 D i

Mathematics

1 answer:

ziro4ka [17]3 years ago

7 0

$\\ \rm\longmapsto i^{78}$

Divide 78 by 4

$\\ \rm\longmapsto \dfrac{78}{4}$

$\\ \rm\longmapsto \dfrac{39}{2}$

$\\ \rm\longmapsto 19\dfrac{1}{2}$

Now

remainder is 2

$\\ \rm\longmapsto i^2$

$\\ \rm\longmapsto (\sqrt{-1})^2$

$\\ \rm\longmapsto -1$

Hence

$\\ \rm\longmapsto i^{78}=-1$

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Find the surface area of the cube and show your work please : )

Murrr4er [49]

Answer:

150 cm.

Step-by-step explanation:

There 6 squares in a cube.

**SQUARES HAVE EQUAL SIDES.**

To find the area of an individual square, multiply the side length by itself twice. (x^2)

The side lengths of the squares are 5.

5 x 5 = 25.

25 is the area of each individual square.

Since there are 6 squares in total, multiply 25 by 6.

25 x 6 = 150.

Therefore, 150 cm is the surface area of the cube.

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3 years ago

A frame around a rectangular family portrait has a perimeter of 70 inches. The length of the frame is 7 inches less than twice t

geniusboy [140]

Answer:

A) 2L + 2W = 70

B) L+7 = W

B) L -W = -7

B) 2L -2W = -14 then we add equation A)

A) 2L + 2W = 70

4L = 56

Length = 14 inches

Width = 21 inches

Step-by-step explanation:

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3 years ago

Read 2 more answers

Joe earns $14 an hour and Blaine earns $18 per hour. Joe receives a raise of $1.75 every six months, and Blaine receives a raise

Vanyuwa [196]

Answer:

4 interval of six months.

Step-by-step explanation:

Given: Joe earn $14 per hour

Blaine earn $18 per hour.

Joe receives a raise of $1.75 every six months

Blaine receives a raise of $0.75 every six months.

Lets assume the number of six month intervals be "x".

Now, finding the number of six months interval require to get Joe´s earning equal to Blaine earning.

Forming an equation to find the six month interval

⇒ $14+(1.75\times x)= 18+(0.75\times x)$

Solving the equation to find the value of x

⇒ $14+1.75x= 18+0.75x$

subtracting both side by 0.75x

⇒ $14+x= 18$

subtracting both side by 14

∴ $x= 4$

Subtituting the value of x, we will get both Joe and Blaine earning as equal.

$14+(1.75\times x)= 18+(0.75\times x)$

⇒ $14+(1.75\times 4)= 18+(0.75\times 4)$

⇒ $\$ 21= \$ 21$

Hence, after 4 interval of six months, Joe to earn same hourly rate as Blaine.

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4 years ago

Which number line shows the inequality n < -3?

madam [21]

Answer: like he dark line represents all the numbers that satisfy x≤2 . If we pick any number on the dark line and plug it in for x, the inequality will be true. The following graph represents the inequality x < 2 . Note that the open circle on 2 shows that 2 is not a solution to x < 2 .

Step-by-step explanation:

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3 years ago

A soccer field is a rectangle 80 meters wide and 100 meters long. The coach asks players to run from one corner to the corner di

exis [7]

Answer:

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Step-by-step explanation:

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c = 128.06

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3 years ago