b = 1/6
Explanation:
3x-y=4 ...1st equation
Rewriting in slope- intercept form:
y = 3x - 4
2y+4bx=1
Rewriting in slope- intercept form:
2y = -4bx + 1
y = -4bx/2 + 1/2
Equation of line: y = mx + c
where m = slope, c = intercept
For a line to be perpendicular to another, the slope of one will be the negative reciprocal of the slope of another.
Slope of the 1st equation = 3
m = 3
reciprocal of 3 = 1/3
negative reciprocal of 3 = -1/3
Slope of the 2nd equation = -4b/2
we equate both slope:
negative reciprocal of 3 = -4b/2
-1/3 = -4b/2
cross multiply:
-1(2) = 3(-4b)
-2 = -12b
Divide both sides by -12:
-2/-12 = -12b/-12
b = 1/6
Hence, the value of b that makes the lines perpendicular is 1/6
Answer:
A = 51 degrees
Step-by-step explanation:
We can use the law of sines
sin A sin 95
------------ = -----------
7 9
Using cross products
9 sin A = 7 sin 95
Divide each side by 9
sin A = 7/9 sin 95
Take the inverse of each side
sin ^-1 sin A = sin ^-1 ( 7/9 sin 95)
A = 50.78854367
To the nearest degree
A = 51 degrees
Answer:
Step-by-step explanation:
7/4 x 2/3= 7/2 x 1/3= 7/6 = 1 1/6
(3x+1) + (2x+8) = 180
5x+9=180
5x=171
Answer:
The height of the cone is 0.5
Step-by-step explanation:
The formula of a cone is:
V= 1/3 πr² h
where r = 4 inches
V = 8 cubic inches
Now plug the values in the formula:
8 = 1/3 * 3.14 *(4)^2 *h
8 = 1/3 * 3.14 * 16 *h
8 = 50.24/3 * h
Now shift the R.H.S to the L.H.S
8 * 3/50.24 =h
24/50.24 = h
0.477707 =h
Rounding off to the nearest tenths place
=0.48
=0.5
Thus the height of the cone is 0.5 ...
