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2 years ago

Which of the following is equivalent to the complex number i24?

Mathematics

1 answer:

Alika [10]2 years ago

5 0

Answer: 1

Step-by-step explanation:

Rewrite as (i^4)^6

Rewrite i^4 as 1

Rewrite i^4 as (i^2) ^2

((i^2)) ^2)6

Rewrite i^2 as -1

((-1) ^2) 6

Raise -1 to the power of 2

1^6

One to any power is 1.

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URGENT HELP NEEDED!!!!!

Alona [7]

Answer:

Step-by-step explanation:

7 0

3 years ago

Using the formula find the slope of a line with the points (10,20) and (30,50).

VARVARA [1.3K]

Answer:

m = 2/3

Step-by-step explanation:

Slope is defined as the ratio rise/run.

As we move from (10, 20) to (30, 50), the run is 30 - 10, or 20, and the rise is 50 - 20, or 30. Thus, the slope of the line is m = 30/20, or 2/3.

3 0

3 years ago

a 4 ft wooden rod needs to be divided into pieces that are each 2/3 ft. long. how many pieces can be cut? is there any leftover

aleksklad [387]

Answer:6 pieces can be cut and there will be no leftover wood

Step-by-step explanation:

Length of the wooden rod= 4 ft.

Length of the pieces of wood to be cut= 2/3 ft.

No. Of pieces can be cut = 4/ (2/3)

= 6 pieces

Hence the no. of pieces are not in decimal that indicates there is no leftover wood

5 0

3 years ago

Which describes the cross section of a square prism that passes through vertices A, B, and C?

expeople1 [14]

Answer:

In triangle ABC one side equal $8\sqrt{2}$ and two sides equal $4\sqrt{13}$

Step-by-step explanation:

We are given a prism whose base is square with sides 8 in and height 12 in.

If we take cross section through vertices A, B and C

We will get a cross section as triangle.

In triangle ABC, sides are AB, BC and AC

AB is diagonal of top square whose side 8 in.

$AB=\sqrt{8^2+8^2}=8\sqrt{2}$

AC is face diagonal of front face.

$AC=\sqrt{8^2+12^2}=4\sqrt{13}$

BC is face diagonal of right face.

$BC=\sqrt{8^2+12^2}=4\sqrt{13}$

AC=BC≠AB

Hence, In triangle ABC one side equal $8\sqrt{2}$ and two side equal $4\sqrt{13}$

6 0

3 years ago

Read 2 more answers

A swimmer dives 10 feet below the surface of a lake

AlexFokin [52]

Answer:

She must swim 10 feet before she reaches the surface; from level -10 to level 0 (Equation: $-10+10=0$ )

Step-by-step explanation:

Based on the information provided, you can assume that the surface of the lake is at level 0.

You know that the swimmer dives 10 feet below the surface; this is the level -10 .

This means that she must swim 10 feet from the level -10 to the level 0 in order to reach the surface of the lake.

Therefore, to find how far she must swim before she reaches the surface, it is necessary to add levels -10 and +10 to get the level 0. This can be represented with the following equation:

$-10+10=0$

4 0

3 years ago