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Fynjy0 [20]
2 years ago
8

Pls help trig question!!

Mathematics
1 answer:
s2008m [1.1K]2 years ago
5 0

4\sin^2 x - 3 = 3 \sin x\\\\\implies 4\sin^2 x -3 \sin x  -3 =0\\\\\implies 4u^2 -3u -3 =0~~~~~~~~~~~~~~;[\text{Set} ~ \sin x = u]\\\\\implies u = \dfrac{-(-3) \pm \sqrt{(-3)^2 - 4\cdot 4 \cdot (-3)}}{2(4)}~~~~~~;[\text{Apply quadratic formula}]\\\\\\\implies u = \dfrac{3\pm\sqrt{57}}8\\\\\implies \sin x = \dfrac{3\pm\sqrt{57}}8~~~~~~;[\text{Substitute back}~ u = \sin x]\\\\\text{Now,}\\\\\sin x = \dfrac{3+\sqrt{57}}8\\\\\text{No solution for}~ x\in \mathbb{R}  ~\text{Since}~ -1\leq \sin x \leq 1\\

\sin x = \dfrac{3 - \sqrt{57}}8\\\\\implies x = n\pi + (-1)^n \sin^{-1} \left(\dfrac{3-\sqrt{57}}8\right)\\\\\\\text{ When n = 1,2 and}~  [0,2\pi]},\\\\\\x= \pi - \sin^{-1} \left(\dfrac{3-\sqrt{57}}8 \right)~ \text{and} ~x =  2\pi + \sin^{-1} \left(\dfrac{3-\sqrt{57}}8 \right)\\\\\text{In decimal,}\\\\x= 3.75~~~~ \text{and}~~~ x =5.68

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PLEASE HELP NEED HELP ASAP!!!!!!
Nataly_w [17]

Answers:

x = 3

y = 9

=========================================================

Explanation:

We're told that angle A is 20x. The diagram shows we have an equilateral triangle (since all three sides are the same length), so we know that all angles are the same measure and they are equal to 60 degrees.

Equate 20x and 60. So we solve 20x = 60 and that leads to x = 3 after you divide both sides by 20.

Since we have a triangle with all sides equal, we know that AB = AC = 9, therefore y = 9 because y is the length of AB.

5 0
3 years ago
Read 2 more answers
Evaluate <br> g(4): g(x)=8x^2+9x-7<br><br> A. 121<br> B. 135<br> C. 154<br> D. 157
inn [45]
The answer is:  [D]:  " 157" .
________________________________________________________
Explanation:
______________________________________________________

 g(x) = 8x² + 9x − 7 ;

 g(4) = 8(4²) + 9(4) <span>− 7 ;
</span>
        = 8(4*4) + 36 <span>− 7 ;
</span>
        = 8(16) + 36 <span>− 7 ;
</span>
        = 128 + 36 <span>− 7 ;
</span>
        = 164 − 7 ;

       =  <span>157 .</span>
_______________________________________________________
The answer is:  [D]:  " 157" .
_______________________________________________________
7 0
3 years ago
Graph the line that passes through the points ( 0 , − 4) and (−5,2) and determine the equation of the line.
Eduardwww [97]
  1. Answer:

i am highly sorry but there is no graph for me to help you with on this site :(

but to help you the X line always comes first for example the (-5,2) the -5 would be on the X line. I really hope that this help. :)

7 0
3 years ago
Mandy has 8 ounces of fish food to feed her fish . she feeds the fish 0.4 of fish food at each feeding how many times can Mandy
sergejj [24]
20 times

This is just simple division. Do 8 divided by 0.4 and you should get 20

Hope this helps!
-Coconut;)
8 0
2 years ago
The spiders and ants in Aunt Mellys attic have a total of 152 legs and 22 heads. Spiders have 8 legs and ants have 6 legs. How m
Scorpion4ik [409]

Answer:

10 spiders and 12 ants

Step-by-step explanation:

You need to create two equations

s = # of spiders

a = # of ants

s + a = 22 heads

since each spider and ant has one head

8s + 6a = 152 legs

since every spider has 8 legs and every ant has 6

s + a = 22 can be turned into s = 22 - a

now use substitution

8(22 - a) + 6a = 152

176 - 8a + 6a = 152

176 - 2a = 152

24 = 2a

a = 12

now that you have the number of ants you can solve for the number of spiders

s + a = 22

s + 12 = 22

s = 10

6 0
2 years ago
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