Answer:
Step-by-step explanation:
You know that ...
- cos(θ)² = 1 - sin(θ)²
- tan(θ) = sin(θ)/cos(θ)
- cosine is negative in the third quadrant (where π < θ < 3π/2)
Using what you know about the relationships of these trig functions, you can find ...
cos(θ)² = 1 - ((-√3)/2)² = 1 - 3/4 = 1/4
cos(θ) = -1/2 . . . . . negative square root of 1/4
__
tan(θ) = sin(θ)/cos(θ) = ((-√3)/2)/(-1/2)
tan(θ) = √3
4/28 = 1/7 when dividing both numerator & denominator by 4 and this would be the simplified fraction.
You could use 1/7 to multiply with others to get other ratios that are equal to 4/28 or you could just use 4/28.
For example:
1/7 = 7/49
or
4/28 = 8/56
Answer:
Maureen ignored the negative(minus) sign in 1.7 thereby turning it into positive 1.7
Step-by-step explanation:
-1.7 + (-6.3)
Correct simplification
-1.7 + (-6.3)
Open parenthesis
= - 1.7 - 6.3
= -8
NOTE:
- * + = -
- * - = +
+ * - = -
+ * + = +
Maureen's simplification
-1.7 + (-6.3)
= 1.7 - 6.3
= -4.6
Maureen ignored the negative(minus) sign in 1.7 thereby turning it into positive 1.7
The original number is 72
(18+x)/6 = 1+14
1/6x + 3 = 1 + 14 (Distribute)
1/6x + 3 = (1+14) (Combine Like Terms)
1/6x + 3 = 15
- 3 = -3 (Subtract 3 From Both Sides)
1/6x = 12
(1/6x)*6 = 12 * 6 (Multiply Both Sides By 6)
x = 72
<span>Multiply equation(2) with 4 so that coefficient of become same in both the equations(You can make coefficient of y same and can follow the following procedure.)
</span><span>* Subtract (3) from (1)
* </span>Divide both sides by -19
*Subtract 21 from both sides.
*Divide both sides by 4
so the solution is x= 3 and y= -7
Hope I helped you :)
