Answer:
1) At least two equal sides
2) One pair of equal angles
Answer:
Part A = D
Part B = 5 and 50
Step-by-step explanation:
Part A:
area = 5*4x = 20x
so, ![100 \leq 20x \leq 1000](https://tex.z-dn.net/?f=100%20%5Cleq%2020x%20%5Cleq%20%201000)
Part B:
to leave it only by x, you divide both sides by 20
100/20 = 5, 1000/20 = 50
which ![5\leq x\leq 50](https://tex.z-dn.net/?f=5%5Cleq%20x%5Cleq%2050)
Answer:
a)
,
,
,
, b)
,
,
, ![\forall i \in \mathbb{N}_{O}](https://tex.z-dn.net/?f=%5Cforall%20i%20%5Cin%20%5Cmathbb%7BN%7D_%7BO%7D)
Step-by-step explanation:
a) The equation must be rearranged into a form with one fundamental trigonometric function first:
![\sqrt{3}\cdot \csc x - 2 = 0](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D%5Ccdot%20%5Ccsc%20x%20-%202%20%3D%200)
![\sqrt{3} \cdot \left(\frac{1}{\sin x} \right) - 2 = 0](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D%20%5Ccdot%20%5Cleft%28%5Cfrac%7B1%7D%7B%5Csin%20x%7D%20%5Cright%29%20-%202%20%3D%200)
![\sqrt{3} - 2\cdot \sin x = 0](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D%20-%202%5Ccdot%20%5Csin%20x%20%3D%200)
![\sin x = \frac{\sqrt{3}}{2}](https://tex.z-dn.net/?f=%5Csin%20x%20%3D%20%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D)
![x = \sin^{-1} \frac{\sqrt{3}}{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Csin%5E%7B-1%7D%20%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D)
Value of x is contained in the following sets of solutions:
, ![\forall i \in \mathbb{N}_{O}](https://tex.z-dn.net/?f=%5Cforall%20i%20%5Cin%20%5Cmathbb%7BN%7D_%7BO%7D)
, ![\forall i \in \mathbb{N}_{O}](https://tex.z-dn.net/?f=%5Cforall%20i%20%5Cin%20%5Cmathbb%7BN%7D_%7BO%7D)
b) The equation must be simplified first:
![\cos x + 1 = - \cos x](https://tex.z-dn.net/?f=%5Ccos%20x%20%2B%201%20%3D%20-%20%5Ccos%20x)
![2\cdot \cos x = -1](https://tex.z-dn.net/?f=2%5Ccdot%20%5Ccos%20x%20%3D%20-1)
![\cos x = -\frac{1}{2}](https://tex.z-dn.net/?f=%5Ccos%20x%20%3D%20-%5Cfrac%7B1%7D%7B2%7D)
![x = \cos^{-1} \left(-\frac{1}{2} \right)](https://tex.z-dn.net/?f=x%20%3D%20%5Ccos%5E%7B-1%7D%20%5Cleft%28-%5Cfrac%7B1%7D%7B2%7D%20%5Cright%29)
Value of x is contained in the following sets of solutions:
, ![\forall i \in \mathbb{N}_{O}](https://tex.z-dn.net/?f=%5Cforall%20i%20%5Cin%20%5Cmathbb%7BN%7D_%7BO%7D)
, ![\forall i \in \mathbb{N}_{O}](https://tex.z-dn.net/?f=%5Cforall%20i%20%5Cin%20%5Cmathbb%7BN%7D_%7BO%7D)
Answer:
i wrote this as a decimal so um i hope this at least helps :). 1.75
Step-by-step explanation:
Answer:
−33999/50
Step-by-step explanation:
2/100−680
=
1/50−680
=
−33999/50