Answer:
Step-by-step explanation:
Please find the attachment.
We have been given that angle FED with angle F=90 degree, ED=36, and FE=22. We are asked to find the unknown angles and the unknown side length of the triangle.
We will use sine to solve for angle D as:
Therefore, measure of angle D is 37.7 degrees.
Now, we will find measure of angle E using angle sum property.
Therefore, measure of angle E is 52.3 degrees.
We will use Pythagoras theorem to solve for side FD as:
Therefore, length of side FD is approximately 28.5 units.
Answer: A
Step-by-step explanation:
1650 / 55 = 30
Hope it helps you
Answer:
a = 5.5, d = 11/3
Step-by-step explanation:
An arithmetic progression is a sequence of number such that the difference between consecutive numbers is a constant. It is given by:
The sum of fifth and sixth terms is 44
Therefore:
a + 4d + a + 5d = 44
2a + 9d = 44 (1)
The sum of the first n terms is:
Since the sum of the first eighteen terms is thrice the sum of the first ten terms:
18a + 153d = 3(10a + 45d)
18 a + 153d = 30a + 135d
18a - 30a + 153d - 135d = 0
-12a + 18d = 0 (2)
Multiply equation 1 by 6 and add to equation 2:
72d = 264
d = 11/3
Putting d = 11/3 in eqn 2
-12a + 18(11/3) = 0
-12a + 66 = 0
12a = 66
a = 5.5