Answer:
0.92 as a fraction is 23/25
Good luck, hope this helped!
(a) Yes all six trig functions exist for this point in quadrant III. The only time you'll run into problems is when either x = 0 or y = 0, due to division by zero errors. For instance, if x = 0, then tan(t) = sin(t)/cos(t) will have cos(t) = 0, as x = cos(t). you cannot have zero in the denominator. Since neither coordinate is zero, we don't have such problems.
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(b) The following functions are positive in quadrant III:
tangent, cotangent
The following functions are negative in quadrant III
cosine, sine, secant, cosecant
A short explanation is that x = cos(t) and y = sin(t). The x and y coordinates are negative in quadrant III, so both sine and cosine are negative. Their reciprocal functions secant and cosecant are negative here as well. Combining sine and cosine to get tan = sin/cos, we see that the negatives cancel which is why tangent is positive here. Cotangent is also positive for similar reasons.
Eliinate y's
multiply top eqatyion by -1 and add to 2nd
9x-2y=24
<u>-x+2y=8 +</u>
8x+0y=32
8x=32
divid both sides b y8
x=4
sub back
-x+2y=8
-4+2y=8
add 4 to both sides
2y=12
divide both sides by 2
y=6
(x,y)
(4,6)
Answer:
0.305
Step-by-step explanation:
When we use the percentage (%) notation, to express for example the happening of a success is X%, we are expressing that the corresponding fact is happening X times every 100 times. Instead of X% we could use X/100.
In this example, every 100 units of his payment check, Landon takes 30,5 unites and puts them to his saving account. So, instead of 30.5% we could say 30.5/100. (30.5% = 30.5/100).
So, we have:
30.5% = 30.5/100 = 0.305
This way, 0.305 is the decimal equivalent to 30.5%.
Observation: For avoiding comas in the latter fraction we could also say: 305/1000.
