Answer:
7 and 2/3rds miles
Step-by-step explanation:
The answer is 14115/100.
The definition of a rational number is a number that can be divided by a integer.
So pi for example is an irrational number because it continuously goes on.
You can't divide pi accurate in a fraction.
Answer:
x = 1 +√5
Step-by-step explanation:
There are different formulas for the area of a triangle available, depending on the given information.
<h3>Formulas</h3>
When two sides and the angle between them are given, the relevant area formula is ...
Area = 1/2(ab)sin(C)
When the base and height of a triangle are given, the relevant area formula is ...
Area = 1/2bh
<h3>Equal Areas</h3>
The problem statement tells us the two triangles shown have equal areas. That means the two formulas will give the same result.
Area from angle = Area from base/height
1/2(x·x)sin(30°) = 1/2(x-2)(x+1)
x² = 2(x² -x -2) . . . . . . . . . . . use sin(30°) = 1/2, multiply by 4
x² -2x -4 = 0 . . . . . . . . subtract x², eliminate parentheses
(x -1)² = 5 . . . . . . . . . add 4+1 to complete the square
<h3>Value of x</h3>
x = 1 ± √5 . . . . . . take the square root, add 1
The value of x must be greater than 2 in order for the triangle side lengths to be positive. (x-2 > 0) This means x = 1-√5 is an extraneous solution.
The value of x is 1 +√5.
I'd suggest you write:
":<span>What is cos theta IF tan theta= 8/5?
tan theta = opp / adj = 8 / 5, so we know that opp = 8 and adj = 5. Then the length of the hypotenuse is sqrt(8^2+5^2) = 9.43.
Thus, the cosine of theta / cosine of this angle is
adj 5
----- = ---------- , or about 0.53.
hyp 9.43</span>
choice B, D, F, and G are correct
