Draw an equilateral triangle FGH so that FH is the horizontal base. Draw a vertical line GR from G to line FH to represent the height of the triangle.
Let a = length of a side of the equilateral triangle (all sides are equal).
Each angle is 60° because the three angles add up to 180°.
Let h = GR, the height of the triangle.
Because the triangle is equilateral, triangle FGR is a right triangle, with
m∠F = 60° ,
m∠R = 90°,
FG = a.
By definition,
sin(F) = h/a
That is,
h = a*sin(F) = a*sin(60) = a*(√3/2).
Answer:
The height of the equilateral triangle is (a/2)√3,
where a = length of a side of the triangle.
Answer:
A.
Step-by-step explanation:
-3x-7y = 10
In slope - intercept form
y = -3/7x - 10/7
Since the lines are parallel so the slopes will be equal
m = -3/7
Now
Point = (x,y) = (-5,-3)
So, x = -5, y = -3
Putting in slope intercept form to find b
y = mx+b
-3 = (-3/7)(-5) + b
-3 = 15/7 + b
7b = -21-15
7b = -36
b = -36/7
Now the slope intercept form for the line is
y = -3/7x-36/7
Answer:
Solution given:
we have
y=5x-1
equating equation with y=mx+c
we get
slope [m]=5
we have
for parallel
slope are equal
So
<u>the</u><u> </u><u>required</u><u> </u><u>slope</u><u> </u><u>is</u><u> </u><u>5</u><u>.</u>
Answer:
Step-by-step explanation:
Function representing the bacterial growth has been given as,
a). Here 1200 represents the initial number of bacteria taken for the study (1).
b). 1.8 represents the growth factor by which the population of the bacteria is multiplying.
c). Second study is modeled by the function given as,
Here, initial population of bacteria = 1000
Difference in 1200 and 1000 in two studies means → Second study was conducted on 1000 bacteria while in study (1) number of bacteria were 1200.
