4z ≥ 7
divide seven by four
z ≥ 1.75
or, if you need it in fraction form, it would be
z ≥ 7/4
the value of sin ∅ is 12/ 13
<h3>Quadrants and the "cast" Rule:</h3>
- In the first quadrant, the values for sin, cos, and tan are positive.
- In the second quadrant, the values for sin are positive only.
- In the third quadrant, the values for tan are positive only.
- In the fourth quadrant, the values for cos are positive only.
From the given question,
We have, cos ∅= 5/13
From the trigonometric identities, we have that
![sin^2\alpha + cos^2\alpha = 1](https://tex.z-dn.net/?f=sin%5E2%5Calpha%20%20%2B%20cos%5E2%5Calpha%20%20%3D%201)
Then , let's substitute the value of cos ∅
![sin^2\alpha +(\frac{-5}{13} )^2 = 1](https://tex.z-dn.net/?f=sin%5E2%5Calpha%20%2B%28%5Cfrac%7B-5%7D%7B13%7D%20%29%5E2%20%3D%201)
Let make sin the subject of formula and find the squares of the fraction
sin²∅ = ![1 - \frac{25}{169}](https://tex.z-dn.net/?f=1%20-%20%5Cfrac%7B25%7D%7B169%7D)
Find the LCM
sin²∅ = ![\frac{169 - 25}{169}](https://tex.z-dn.net/?f=%5Cfrac%7B169%20-%2025%7D%7B169%7D)
Find the difference
sin²∅ = ![\frac{144}{169}](https://tex.z-dn.net/?f=%5Cfrac%7B144%7D%7B169%7D)
Find the square root
sin∅ = ![\sqrt{\frac{144}{159} }](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B144%7D%7B159%7D%20%7D)
sin∅ = ![\frac{12}{13}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B13%7D)
In quadrant II , sin is positive, so we have
sin ∅ = 12/ 13
Thus, the value of sin ∅ is 12/ 13
Learn more about quadrant here:
brainly.com/question/863849
#SPJ1
Answer:
14/15
Step-by-step explanation:
Find common denominators. Note that what you do to the denominator, you do to the numerator.
Use 15 as the common denominator:
(-2/5)(3/3) = (-6/15)
(4/3)(5/5) = (20/15)
Combine like terms:
-6/15 + 20/15 = (20 - 6)/15 = 14/15
14/15 is your answer.
~
Answer:
a) 270000
b) 2000000
c) 24000000
Step-by-step explanation:
For a)
346 to 1 s.f is 300
904 to 1 s.f is 900
300 × 900 = 270000
For b)
2451 to 1 s.f is 2000
988 to 1 s.f is 1000
2000 × 1000 = 2000000
For c)
3204 to 1 s.f is 3000
7756 to 1 s.f is 8000
3000 × 8000 = 24000000
Hope this helped and have a good day
The graph in the image I uploaded below best represents the solution set for the given inequality y>-2/3x+9.