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olga nikolaevna [1]
3 years ago
15

A—15 b-30 c-36 d-72asap

Mathematics
1 answer:
3241004551 [841]3 years ago
8 0

Answer:

C 36

Step-by-step explanation:

1/2(base)(height)

1/2(8)(9)

1/2(72)

=36

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NEED HELP ! 20 POINTS
prohojiy [21]

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By DeMoivre's theorem,

z=|z|e^{i\arg z}\implies z^{10}=(\sqrt2)^{10}e^{-i10\pi/4}=32e^{-i5\pi/2}=32e^{-i\pi/2}=-32i

so the answer is B.

8 0
3 years ago
The quotient of z and 8
kiruha [24]

Answer:

z/8

Step-by-step explanation:

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4 0
3 years ago
Calculate the length of AC​
Liono4ka [1.6K]

Answer:

Length of the side AC is 12 units.

Step-by-step explanation:

Here, in the triangle ABC

Base = 5 units

Let, Perpendicular = k units

Hypotenuse = 13 units

In a Right angle triangle, by PYTHAGORAS THEOREM:

(Base)^{2}  + (Perpendicular)^{2}  =  (Hypotenuse)^{2}

Similarly, in triangle ABC

(AB)^{2}  + (AC)^{2}  =  (BC)^{2}

or, (5)^{2}  + (k)^{2}  =  (13)^{2}

⇒k^{2}  = 169 - 25 = 144

⇒ k = 12, or k= -12

But as k is the length of a side of a triangle so, k ≠  -12

⇒ k = 12

Hence,  the length of the side AC = 12 units.

8 0
3 years ago
How does the graph of f(x)=5 cos(1/2x)-2 differ from the graph of g(x)=5 cos(x)-2
crimeas [40]
F(x) = 5cos(1/2x) - 2
g(x) = 5cos(x) - 2

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so the period is 2pi/1 or 2pi. This means the length of one full period of cosine will go from 0 to 2pi.

In f(x) we have 5 cos (1/2 x) - 2
so the period is 2pi/ (1/2) which is the same as 2pi * 2 or 4pi.
This means the period for the function is 4pi and the length of one full period of the cosine graph will go from 0 to 4pi.
The length of f(x) will be longer than that of g(x) .
7 0
3 years ago
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Eva8 [605]

Answer:

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3 years ago
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