Answer:
x = 21°
Step-by-step explanation:
Complementary angles have a sum of 90°. If ∠A + ∠B = 90°, we know that
x - 6° + 3x = 90°.
4x - 6° = 90°
4x = 96°
x = 24°
Hope this helps!
Answer:
x = 36.9°
Step-by-step explanation:
We need to find out what sides of the triangle we have, <em>so we can find the formula for the missing angle, x.</em>
We have been given the <em>opposite</em> and <em>hypotenuse</em> so we are using sine
SOH, CAH, TOA
sin (x) = opp ÷ hyp
<em>Substitute in the values</em>
sin (x) = 9 ÷ 15
<em>Simplify</em>
sin (x) = 0.6
<em>Rearrange to find x</em>
x = sin^-1(0.6) - Type this into your calculator
<h3>
sin^-1 is the inverse or opposite of sin</h3>
x = 36.8698... ≈ 36.9°
Further explanation if you wish to understand the above solution: the formula you are looking for is Y = MX + B where for any given slope (M) and y-intercept (B) you can find the slope-intercept formula.
Hope this helps :)
Answer:
Slope: - 2
y-intercept: (0,3)
Step-by-step explanation:
Answer:
1. if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = 6/2= 3. Thus, the equation describing this direct variation is y = 3x.
2. Partial Variation, where two variables are related by a formula, such as the formula for a straight line (with a non-zero y-intercept)
example :
in the milk factory Carol makes $10 per hour but gets an extra $20 from another job. since Carol gets a $20 allowance regardless of how much she works, if we want to represent Carol's situation in the form of an equation, it would be
Y=10x + 20
therefore if she worked zero hours
(Y=10(0) + 20),
she would still make $20 unconditionally and for every hour she works, she gets $10 more including the initial $20.
thus Carol's equation would be a partial variation, since her income doesn't entirely depend on how much she works.
3. a relation is non linear because it is has a direct relationship between an independent variable and a dependent variable.
In a relation, changes in the output do not change in direct proportion to changes in any of the inputs.
relations does not create a straight line but instead creates a curve.
