Answer: 195.5 or 12 7/32
Step-by-step explanation:
There is no letter tetha in the table so I use α instead. However it is not sence to final result.
The expression is:
(sinα+cosα)/(cosα*(1-cosα))
Lets divide the nominator and denominator by cosα
(sinα/cosα+cosα/cosα)/(cosα*(1-cosα)/cosα)= (tanα+1)/(1-cosα)=
=(8/15+1)/(1-cosα)= 23/(15*(1-cosα)) (1)
As known cos²α=1-sin²α (divide by cos²α both sides of equation)
cos²a/cos²α=1/cos²α-sin²α/cos²α
1=1/cos²α-tg²α
1/cos²α=1+tg²α
cos²α=1/(1+tg²α)
cosα=sqrt(1/(1+tg²α))= +-sqrt(1/(1+64/225))=+-sqrt(225/(225+64))=
=+-sqrt(225/289)=+-15/17 (2)
Substitute in (1) cosα by (2):
1st use cosα=15/17
1) 23/(15*(1-cosα)) =23/(15*(1-15/17))= 23*17/2=195.5
2-nd use cosα=-15/17
2)23/(15*(1-cosα)) =23/(15*(1+15/17))= 23*17/32=12 7/32
Answer:
420mg
Step-by-step explanation:
0.7x6 = 0.42g which is 420mg
1g = 1000mg
You need to write the entire function: y = f(x) = 2x + 6.
Here the input quantity is x, and the output is y (or f(x)).
Let's solve your equation step-by-step.<span><span><span><span><span>65+6x</span>+3x</span>+9</span>+65</span>=180
</span>
Step 1: Simplify both sides of the equation.<span><span><span><span><span>65+6x</span>+3x</span>+9</span>+65</span>=180
</span><span><span><span>(<span>6x+3x</span>)</span>+<span>(<span>65+9+65</span>)</span></span>=180 </span>(Combine Like Terms)
<span><span><span>
9x</span>+139</span>=180</span><span><span>9x+139</span>=180
</span>
Step 2: Subtract 139 from both sides.
<span><span><span><span>
9x</span>+139</span>−139</span>=180−139</span><span>9x=41
</span>
Step 3: Divide both sides by 9.
<span><span>9x/9</span>=<span>41/9
</span></span><span> x=<span>41/9
And finally you divided by 41/9
Answer is x= 4.555556
</span></span>
The solution of the equations is (-2, -1)
<h3>System of equation:</h3>
2x - 3y = -1
11x - 9y = -13
Using elimination method let multiply the first equation by -3.
Therefore,
-6x + 9y = 3
11x - 9y = -13
5x = -10
x = -10 / 5
x = -2
let's find y as follows;
2(-2) - 3y = -1
-4 - 3y = -1
-3y = -1 + 4
-3y = 3
y = 3 / -3
y = -1
learn more on system of equation here: brainly.com/question/1451150
