Answer:
160
Step-by-step explanation:
Using Exterior angle theorem
30+130=160
Answer:
Step-by-step explanation:
sec(theta) is defined as:
In the diagram you provided the hypotenuse of the triangle is sqrt(41) and the opposite side is 5, using these two sides, we can solve for the adjacent side by using the Pythagorean Theorem:
So this gives us the equation where a=adjacent side:
Subtract 25 from both sides
Take the square root of both sides
So now plug this into the definition of sec(theta) and you get: . This is in most simplified form since 41, has no factors besides 41 and 1.
Answer:
Step-by-step explanation:
<u>Average rate of change between x = 2 and x = 4 is:</u>
- [f(4) - f(2)]/(4 - 2) =
- (3*4³ - 1 - 3*2³ + 1)/2 =
- 168/2 =
- 84
Let's suppose the points C, D, E can be anywhere in the interior and BF<10.
If C=A, D=B, E=A we get
|BC|+|CD|+|DE|+|EF| = |AB|+|AB|+|AB|+|FA| = 10 + 10 + 10 + 9 = 39
As the points are in the interior, this won't ever exactly equal 39 so the answer is 38
If BF > 10 then we can actually get a larger answer (thanks Roberto!) so we conclude this isn't the best question ever asked. If it has to be an integer it can't be 19 so it must be 18. Then our maximum is
18 + 18 + 10 + 9 - 1 = 3(18) = 54
Answer:
6/12
Step-by-step explanation:
A fourth of 8 is 2, so there would be 6/12 of the tub of frosting left.