Total distance from w to z is -10 to 6 = 16
Add the ratios: 2 + 3 + 3 = 8
Divide distance by total ratio: 16/8 = 2
Multiply each ratio by 2 : 2x 2 = 4, 3 x 2 = 6, 3 x 2 = 6
WX is 4 units apart, add 4 to -10 to get x = -6
Answer: A. -6
Ughh trig
I think what you gotta do here is use tangent because you are dealing with opposite and adjacent. Doing tan(41) will give you x/10. tan(41) is 0.8692... and you can just multiply that by 10 because x is being divided by 10, so x is around 8.69.
Now, with the two legs, you can use Pythagorean theorem to find the hypotenuse.
You already have 2 angles (right angle and the angle we just used to find x) so we can use the fact that all triangle angles add up to 180 to do 180-90-41.
In the end, x ends up being around 8.7, the hypotenuse around 13.3 and the last angle 49 degrees.
Answer:
Slope is 2.15
y-intercept is 2
Step-by-step explanation:
We need to find slope and y-intercept of the graph given.
The formula used to find slope is: 
Looking at the graph, we can find 2 points
Point 1 : (0,-2)
Point (2): (2,-2.3)
Now putting values and finding slope:
We have: 
So, we get slope = 2.15
Now, finding y-intercept
y-intercept can be found if we put x =0
Looking at the graph, when x =0, y = 2
So, y-intercept is 2
Answer: constant of variation k = 36 the variation equation, y = 36xz^3
Step-by-step explanation:
y varies jointly as x and the cube of z. This means that y varies directly as x and directly as z^3
In order to remove the "variation" symbol and replace it with "equal to" symbol, we will introduce a constant of variation, k
y = kxz^3
y=432 when x= 4 and z=3
We will substitute these values of x, y and z into the equation to determine the value of k
432 = k × 4 × 3
432 = 12k
k = 432/12 = 36
We will substitute the value of k into the equation. Substituting k = 36 into equation y = kxz^3
The equation becomes
y = 36xz^3
Answer:
72 People
Step-by-step explanation:
Find out what is 35% of 360 is (126)
Find out what is 45% of 360 is (162)
Add the two numbers (288)
Subtract from 360 (72)
