Answer:
Not really
Step-by-step explanation:
NOT NECESSARILY would a triangle be equilateral if one of its angles is 60 degrees. To be an equilateral triangle (a triangle in which all 3 sides have the same length), all 3 angles of the triangle would have to be 60°-angles; however, the triangle could be a 30°-60°-90° right triangle in which the side opposite the 30 degree angle is one-half as long as the hypotenuse, and the length of the side opposite the 60 degree angle is √3/2 as long as the hypotenuse. Another of possibly many examples would be a triangle with angles of 60°, 40°, and 80° which has opposite sides of lengths 2, 1.4845 (rounded to 4 decimal places), and 2.2743 (rounded to 4 decimal places), respectively, the last two of which were determined by using the Law of Sines: "In any triangle ABC, having sides of length a, b, and c, the following relationships are true: a/sin A = b/sin B = c/sin C."¹
From the second equation we can find that d=43-(9/10)*n
we can put this equation into the first one,
So we have equation 60(43-(9/10)*n)+65n=2800
Solving that we get n=20
60d+65*20=2800
d=25
So the answer is d=25 and n=20
Answer:
36.87
Step-by-step explanation:
Sine rules says:
. sin x = opposite / hypotenuse
We just substitute in the values
. sin x = 3 / 5
. sin x = 0.6
Now we use sin inverse to find the value of the angle
. x = sin^-1(0.6) = 36.87
equation of line passing through (1,-7)( -4,8)
First let's find slope (m)
m = (8+7)/(-4-1)
= 15/-5 = -3
(x1,y1) = (1,-7)
Plugging above value in
y - y1 = m( x-x1)
y+7 = -3( x-1)
y+7 = -3x +3
y+3x +4=0
The correct answer would be F