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FrozenT [24]
3 years ago
8

A way to write numbers by showing the value of each digit is called....?

Mathematics
1 answer:
Darya [45]3 years ago
3 0

Answer:

expanded form

Step-by-step explanation:

...it just is

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Find the cube roots of 8(cos 216° + i sin 216°).
Tomtit [17]
z^3=8(\cos216^\circ+i\sin216^\circ)
z^3=2^3(\cos(6^3)^\circ+i\sin(6^3)^\circ)
\implies z=8^{1/3}\left(\cos\left(\dfrac{216+360k}3\right)^\circ+i\sin\left(\dfrac{216+360k}3\right)^\circ\right)

where k=0,1,2. So the third roots are

z=\begin{cases}2(\cos72^\circ+i\sin72^\circ)\\2(\cos192^\circ+i\sin192^\circ)\\2(\cos312^\circ+i\sin312^\circ)\end{cases}
5 0
3 years ago
In triangle △ABC, ∠ABC=90°, BH is an altitude. Find the missing lengths. AH=4 and HC=1, find BH.
Rudik [331]

Answer:

Length of BH is 2 units.

Step-by-step explanation:

We have, ΔABC with ∠ABC = 90° and an altitude BH.

Also, it is given that the length of sides AH is 4 units and HC is 1 units.

Since, the 'Altitude Rule' states that 'the length of the altitude is the geometric mean of the line segments it bisects'.

So, we get that,

BH^{2}=AH\times HC

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Since, the length of the side cannot be negative.

So, length of BH is 2 units.

3 0
4 years ago
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