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
Answer:
9−4√5=(Decimal: 0.055728)
Step-by-step explanation:
Answer:
Step-by-step explanation:
thats your problem learn how to pay attention lol
Answer:
<h2>
WX = 3√2 units </h2>
Step-by-step explanation:
Using the formula for calculating the distance between two points to calculate the length of WX.
D = √(y₂-y₁)²+(x₂-x₁)²
Given the endpoints W(2,-7) and X(5,-4), x₁ = 2, y₁ = -7, x₂ = 5 and y₂ = -4
Substituting this values into the formula to get the length of WX will give;
WX = √(-4-(-7))²+(5-2)²
WX = √(-4+7)²+3²
WX = √3²+3²
WX = √18
WX = √2*9
WX = 3√2 units
Hence the length of WX is 3√2 units.
1) Given: f(x) = 3 - x; g(x) = -2x Find g[f(-1)].
g(f(x)) = -2(3 - x) = 2x - 6
g(f(-1)) = 2(-1) - 6 = -2 -6 = -8
g(f(-1)) = -8
Looks like the question 2 and 1 are the same
Both find g(f(-1))