Let's see what we can fill in here.
<ACE = 130
180 - 50 = 130
Now that we have two sides and an included angle, we can use the Law of Cosines.
Law of Cosines: c^2 = a^2 + b^2 - 2ab(cos(C))
Let's plug in what we know and solve!
c^2 = 40^2 + 38^2 - 2(40)(38)(cos(130))
R = 70.69706
Hope this helps!! :)
If the cubes are die such that each face has numbers from 1 to 6. Rolling two of them, there are 6x6 or 36 ways in which they may be arranged. For their numbers to sum to 7, the numbers should be 1 and 6, 2 and 5, 2 and 6, 3 and 4, 3 and 5, 3 and 6, 4 and 3, 4 and 4, 4 and 5, 4 and 6, 5 and 2, 5 and 3, 5 and 4, 5 and 5, 5 and 6, 6 and 1, 6 and 2, 6 and 3, 6 and 4, 6 and 5, 6 and 6. All in all there are 21 out of 36 and the probability is equal to 7/12.
x= 3+√5/4,3-√5/4
Step-by-step explanation:
1.In general, given ax^2+bx+c=0, there exists two solutions where:
x= -b+√b^2 - 4ac/2a, -b-√b^2-4ac/2a
2.In this case, a=4, b=-6 and c=1.
x=6+√(-6)^2-4×4/2×4, 6-√(-6)^2-4×4/2×4
3.Simplify.
x=6+2√5/8, 6-√5/8
4.Simplify solutions.
x=3+√5/4, 3-√5/4
The diagram shows how Pythagoras theorem is applied to a right angled triangle
<h3>
Pythagoras theorem</h3>
Pythagoras theorem is used to show the relationship between the sides of a right angle triangle. It is given by:
Hypotenuse² = Adjacent side² + Opposite side²
From the diagram, one box is one unit, using Pythagoras theorem:
5² = 3² + 4²
25 = 9 + 16
25 = 25
The diagram shows how Pythagoras theorem is applied to a right angled triangle.
Find out more on Pythagoras theorem at: brainly.com/question/343682
