Take a look at the diagram below.
This problem looks like a great candidate for using the Law of Cosines.
If you know two sides, you can find the third side from the angle opposite or vice versa. Should the sides be a, b, and c, and their opp. angles A, B, and C...
a² + b² - 2ab(cosC) = c²
Let's plug in what we know...a = 55, b = 25, and m<C = 25".
55² + 25² - 2(55)(25)(cos(25")) = c²
One thing to note is that our angle measure is in <em />seconds. Unless you're using Google's built in calculator, you'll wind up having to convert to degrees. 60 seconds in a minute, 60 minutes in a degree...blahblahblah.
Anyways, cos(25") comes out to be practically 1. (0.99999993)
Let's get evaluating.
3025 + 625 - 2750(1) = c²
3025 + 625 - 2750 = c²
900 = c²
30 = cThe tree is
30 meters from the fence post.
Step-by-step explanation:
3y + 10.5 = 6.5 + 2.5y
3y - 2.5y = 6.5 - 10.5
0.5y = - 4
y = 4 ÷ 0.5
y = 2
Answer:
120?
Step-by-step explanation:
A cube, is made off 6 squarial faces, so all faces on that cube, are squares, the front, back, left, right, top and bottom.
a square has all equal sides, and also all right angles, so all angles in a square are 90°. Let's say the sides are "x" long.
now, if we run a plane on that cube diagonally, check the picture below, the diagonal side at the bottom, by usin the 45-45-90 rule as you see it there, will be x√2.
let's keep in mind that, "x" is opposite side of that angle θ, and then x√2 will be the adjacent side of it.
and we can use those two to get the tangent and then the inverse tangent to get the value, as you see it in the picture.
if you need the angle in radians, run the inverse tangent again, just make sure your calculator is in radians mode.
Hello!
First off, when it is a < or > symbol, the circle is open.
When it is a ≤ or ≥ symbol, the circle is closed.
Therefore, the correct answer is C, because |x| can be -5 or 5, the graphed circles are closed, and the solutions are less than, not greater than -5 and 5.