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denis23 [38]
2 years ago
12

How do you find the missing dimension of a triangle

Mathematics
1 answer:
ki77a [65]2 years ago
4 0

Answer:

The Pythagorean theorem states that a2 + b2 = c2 in a right triangle where c is the longest side. You can use this equation to figure out the length of one side if you have the lengths of the other two.

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Find the product of z1 and z2, where z1 = 7(cos 40° + i sin 40°) and z2 = 6(cos 145° + i sin 145°).
Oduvanchick [21]
For two complex numbers z_1=re^{i\theta}=r(\cos\theta+i\sin\theta) and z_2=se^{i\varphi}=s(\cos\varphi+i\sin\varphi), the product is

z_1z_2=rse^{i(\theta+\varphi)}=rs(\cos(\theta+\varphi)+i\sin(\theta+\varphi))

That is, you multiply the moduli and add the arguments. You have z_1=7e^{i40^\circ} and z_2=6e^{i145^\circ}, so the product is

z_1z_2=7\times6(\cos(40^\circ+145^\circ)+i\sin(40^\circ+145^\circ)=42(\cos185^\circ+i\sin185^\circ)=42e^{i185^\circ}
3 0
2 years ago
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4. Find the time duration for the following in your notebook: (a) 1:20 a.m. to 8.05 a.m. (b) 3:50 p.m. to 6:25 p.m. (C) 11.40 a.
padilas [110]

(a) 6 hours and 45 minutes

(b) 2 hours and 35 minutes

(c) 2 hours and 40 minutes

(d) 3 hours and 20 minutes

4 0
2 years ago
Which expression is equivalent to x(y+z)?<br> a)xyz b)x+y+z c)xy+z d)xy+xz
mestny [16]
X(y + z)
= xy + xz

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8 0
2 years ago
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How many of the numbers from the set $\{1,\ 2,\ 3,\ldots,\ 50\}$ have a perfect square factor other than one?
Novay_Z [31]

Answer:

2^2 ( 1,2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12)  =  4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44,48

3^2(1,2,3, 5)   =  9, 18, 27, 45

5^2(1, 2)  = 25, 50

7^2  = 49

19  numbers

Step-by-step explanation:

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3 years ago
How many different ways can 5 students line up in a cafteria
lina2011 [118]
Ans: 120 different ways
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2 years ago
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