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vlada-n [284]
3 years ago
9

Use ABC to find the value of cos a. 24/7 7/24 7/25 24/25

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
6 0

Answer:

\frac{24}{25}

Step-by-step explanation:

using the cosine ratio;

\cos(\theta)= \frac{adjacent}{hypotenuse}

From the question, the side of the right angle triangle that is adjacent to the measured <a,(i.e BAC) is AC=24 and the hypotenuse is AB=25

This implies that,

cos(a)= \frac{24}{25}

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Find the complex fourth roots \[-\sqrt{3}+\iota \] in polar form.
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|z|=\sqrt{(-\sqrt3)^2+1^2}=2

z lies in the second quadrant, so

\arg z=\pi+\tan^{-1}\left(-\dfrac1{\sqrt3}\right)=\dfrac{5\pi}6

So we have

z=2e^{i5\pi/6}

and the fourth roots of z are

2^{1/4}e^{i(5\pi/6+k\pi)/4}

where k\in\{0,1,2,3\}. In particular, they are

2^{1/4}e^{i(5\pi/6)/4}=2^{1/4}e^{i5\pi/24}

2^{1/4}e^{i(5\pi/6+2\pi)/4}=2^{1/4}e^{i17\pi/24}

2^{1/4}e^{i(5\pi/6+4\pi)/4}=2^{1/4}e^{i29\pi/24}

2^{1/4}e^{i(5\pi/6+6\pi)/4}=2^{1/4}e^{i41\pi/24}

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3 years ago
36/sqrt(x-2) +4sqrt(y-1) = 28- 4/sqrt(x-2)- sqrt(y-1) find x,y
Leni [432]
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3 years ago
Maria brought home a sandwich that was 6 1/8 feet long to share with 4 members of her family. If each person, including Maria, a
mamaluj [8]
There are 5 people. Each ate the same amount. So it is 1/5 of the sandwich. 6.125/5=1.225 feet
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3 years ago
Find x<br> 5x - 11<br> 10<br> 38.4<br> 16<br> Show your work please and thank you
saveliy_v [14]

Answer:

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3 years ago
A rectangular room is 6.8 meters longer than it is wide, and perimeter is 29.6 meters. Find the dimensions of the room.
GuDViN [60]

Answer:

dimensions = 10.8  X 4

Step-by-step explanation:

Breadth/ width of room = x

Length of room =  6.8 + x

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3 years ago
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