Use the trip back to calculate total distance. If Brenda drives 30 mph for 6 hours then she has traveled 180 miles. Now we know it is 180 miles from her house to the train station. If she drove this in 5 hours instead, just divide 180 by 5 to get an average speed of 36 mph.
Answer:
sin A = 15/17
sec A = 17/8
Step-by-step explanation:
15 cot A = 8
First get cot A alone.
cot A = 8 / 15
Since cot is the reciprocal of tan then flip 15 and 8.
tan A = 15 / 8
Now you have the opposite and adjacent sides, just find the hypotenuse with Pythagorean's theorem
15^2 + 8^2 = 289
= 17
Now that you have all the sides use the opposite and hypotenuse to get sine and the adjacent and hypotenuse to get cosine then flip to get secant.
sin A = 15/17
cos A = 8/17
sec A = 17/8
Answer:
AC = 78
Step-by-step explanation:
Since all the angles are equal (60°), this is an equiangular triangle (meaning all angles re equal). Equiangular triangles are also equilateral meaning that all sides are equal)
We are given then one side is 11x-32 and another side is 5x+28
These two sides must be equal so we can set them equal to each other and solve for x
11x - 32 = 5x + 28
6x - 32 = 28
6x = 60
x = 10
If x = 10, then we can substitute x into either of the two equations to find the length of all three sides (since all sides have equal length)
11(10)-32 = 110 - 32 = 78
AB = BC = AC = 78
AC = 78
For the answer to this, we turn to the all-important Fundamental Theorem of Algebra<em /><em>, </em>which states that every degree-<em>n</em> polynomial has exactly <em>n </em>imaginary roots. It's important to keep in mind that this theorem doesn't tell you how to <em>find </em>these roots - it just tells you that they <em>exist</em>.
Where’s the picture? i can’t answer it without seeing the measurements
