Answer:
Given the proposed interrogate, as well as the graph provided, the correct answer is B. Y = 1/2 x + 4
Step-by-step explanation:
To evaluate such, a comprehension of linear Cartesian planes are obligated:
Slopes = rise/run
X- intercept: The peculiar point in which linear data is observed to intersect the x-axis.
Y- intercept: The peculiar point in which linear data is observed to intersect the y-axis.
Slope: 1/2 as for every individual space endeavored, a space of 2 to the right is required.
Y- intercept: (4,0)
Thus, the ameliorated answer to such interrogate is acknowledged as B. Y = 1/2 x + 4.
*I hope this helps.
Answer:
30
Step-by-step explanation:
1:2 = 1 (x2)
15 x 2
30
Answer:5.4
Step-by-step explanation:
Let h=height where top of ladder touches wall and x be distance from wall to bottom of ladder...
tana=h/x
a=arctan(h/x) and a≤75
arctan(h/x)≤75 now taking tan of both sides :P
h/x≤tan75 now we have an ugly x value that we need to get rid of:
Using the pythagorean theorem we know:
144=x^2+h^2, x^2=144-h^2, x=√(144-h^2) now we can use this in our inequality for x
h/√(144-h^2)≤tan75
h^2/(144-h^2)≤(tan75)^2
h^2≤144(tan75)^2-h^2(tan75)^2
h^2+h^2(tan75)^2≤144(tan75)^2
h^2(1+(tan75)^2)≤144(tan75)^2
h^2≤[144(tan75)^2]/(1+(tan75)^2)
h^2≤134.353829
h≤11.5911
So he cannot have the top of the ladder 11.8 ft above the ground and not exceed a 75° angle with the ground.
I worked it the hard way just to go through the process. However we could have used a simple trig function to see that maximum height of the top of the ladder....
sin75=h/12
h=12sin75
h≈11.59 ft. That would be the maximum height given that we did not want to exceed 75° with the ground.
