8 and 15 are the lengths of the legs.
The tangent is the ratio of the lengths of legs.
In general, tan x = opp/adj
You have 8/15, so here 8 is the opposite leg and 15 is the adjacent leg.
Angle A is the right angle, so that is not it.
For which acute angle, B or C, is 8 opposite and 15 adjacent?
Answer: for angle B.
Therefore, 8/15 must be tan B.
Answer:
y - 6 = (-1/2)(x - 4)
Step-by-step explanation:
As we go from (4, 6) to (6, 10), x (the run) increases by 2 and y (the rise) increases by 4. Thus, the slope of the line connecting these two points is m = rise / run = 4/2 = 2.
The slope of a line perpendicular to this one is the negative reciprocal of 2, which is -1/2.
Using the point-slope formula, we get the following equation for the perpendicular line:
y - 6 = (-1/2)(x - 4) ( obtained using the point (4, 6) )
A square garden plot has an area of 75 ft2.
a. Find the length of each side in simplest radical form.
First, a square area (A) = length (l)^2
A(ft2) = l^2 --> so l(ft) = square root (sr) of A
l = srA = sr75
Next, factor out 75 into number with even roots: 25•3 = 75
So l = sr25•sr3 --> l = 5•sr3 ft
5•sr3 is in the simplest radical form
b. Calculate the length of each side to the nearest tenth of a foot.
l = sr3 = 1.732 --> so 5•1.732 = 8.66ft
Tenth is one place to the right of the decimal, so l = 8.7 ft
Step-by-step explanation:
If Q is the midpoint of PR
Then PQ + QR = PR
(6x + 25) + (16 - 3x)
group the same terms and add them
(6x - 3x) + (25 + 16)
Hence PR = (3x + 41)
But to find the value of PR....If Q is the midpoint....then PQ = QR...since they are both half lengths of PR;
; 6x + 25 = 16 - 3x
; 6x + 3x = 16 - 25...;9x = -9
Hence the value of...x = -1
Then substitute the value of x into the equation of PR....3x + 41
;3(-1) + 41
;-3 + 41
Hence PR = 38
