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3 years ago

If i= square root of -1, what is the value of i^3

Mathematics

1 answer:

Ber [7]3 years ago

6 0

Answer:

$- i$

Step-by-step explanation:

Set up equation.

$i {}^{3} = y$

${i}^{2 } \times i = y$

$- 1 \times i = y$

$- i = y$

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Find the volume of the garden shed

Leno4ka [110]

Answer:

47.3 m³

Step-by-step explanation:

The garden shed is made up of a rectangular prism and a pyramid.

<h3>Volume of a rectangular prism</h3>

$\begin{aligned}\textsf{Volume of a rectangular prism}&=\sf width \times length \times height\\&=4 \times 4 \times 2\\&=16 \times 2\\&=32\;\; \sf m^3\end{aligned}$

<h3>Volume of a pyramid</h3>

From inspection of the given diagram, the slant height of the pyramid is 3.5 m.

Calculate the perpendicular height of the pyramid using Pythagoras Theorem:

$\begin{aligned}\implies a^2+b^2&=c^2\\2^2+h^2&=3.5^2\\h^2&=8.25\\h&=\sqrt{8.25}\;\; \sf m\end{aligned}$

Therefore:

$\begin{aligned}\textsf{Volume of a pyramid}&=\dfrac{\sf length \times width \times height}{3}\\\\&=\dfrac{\sf 4 \times 4 \times \sqrt{8.25}}{3}\\\\& = 15.31883372\;\; \sf m^3\end{aligned}$

<h3>Volume of the garden shed</h3>

$\begin{aligned}\implies \textsf{Volume of shed}&=\textsf{Volume of rectangular prism}+\textsf{Volume of pyramid}\\&=32+15.31883372\\& = 47.3\;\; \sf m^3\;(nearest\;tenth)\end{aligned}$

6 0

1 year ago

Read 2 more answers

A student answer 86 problems on a test correctly and received a grade of 98% how many problems were on the test if all the probl

adoni [48]

Answer:

87 or 88

Step-by-step explanation:

86 is 98% of 87.755102

So, the number of problems must have been 87 or 88

6 0

2 years ago

Larry says 5×900 is less than 5×9000 is greater than 9000

Ne4ueva [31]

Answer:

???? i dont understand

Step-by-step explanation:

i think yes

6 0

2 years ago

Cion

Sidana [21]

Answer:

- 0.83

Step-by-step explanation:

just add the recurring bar on top of the 3 and it should be correct

6 0

1 year ago

The measurement of the complement of an angle exceeds the measure of the angle by 25%. Find the measurement of the angle and its

tester [92]

Let the angles be A and C

Complimentary angles, therefor 
A + C = 90 

The measurement of the complement of an angle exceeds the measure of the angle by 25% (you used a % sign so I'll use % instead of degrees) 
C = 1.25A 

Substitute 
A + 1.25A = 90 
2.25A = 90 
A = 40º <----- 
C = 50º <----- 
------------------------------ 

If you meant 25º 
A + (A + 25) = 90 
2A + 25 = 90 
2A = 65 
A = 32.5º 
C = 57.5º

3 0

3 years ago