Answer with Step-by-step explanation:
We are given that six integers 1,2,3,4,5 and 6.
We are given that sample space
C={1,2,3,4,5,6}
Probability of each element=
We have to find that
Total number of elements=6
={1,2,3,4}
Number of elements in =4
Using the formula
={3,4,5,6}
Number of elements in =4
={3,4}
Number of elements in
{1,2,3,4,5,6}
Answer:
Step-by-step explanation:
Well, first let's look at our trig identities. We can set up a cosine function using the given angle:
(adjacent/hypotenuse)
Then, multiplying both sides by 16 gives us:
Hope this helps!
Answer: the diagonal is 10 units
Step-by-step explanation:
The rectangle has 2 parallel and equal sides. Each of the 4 angles in a rectangle is 90°. Therefore, the diagonal of the rectangle divides it into 2 equal right angle triangles and the diagonal represents the hypotenuse of both right triangles.
To determine the length of the diagonal of the rectangle, d, , we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore
d² = 5² + (5√3)²
d² = 25 + 25×3 = 100
d = √100
d = 10 units
