Answer:
The first term is 3. The common difference is 2.
Step-by-step explanation:
The first term is x.
The common difference is d.
The second term is x + d.
3rd term: x + 2d
4th term: x + 3d
7th term: x + 6d
"The fourth term of an Arithmetic Sequence is equal to 3 times the first term"
x + 3d = 3 * x Eq. 1
"the seventh term exceeds twice the third term by 1"
x + 6d = 2(x + 2d) + 1 Eq. 2
Simplify Eq. 1:
2x = 3d
Simplify Eq. 2:
x + 6d = 2x + 4d + 1
x = 2d - 1
Multiply both sides of the last equation by 2.
2x = 4d - 2
2x = 3d (simplified Eq. 1)
Since 2x = 2x, then the right sides are equal.
3d = 4d - 2
d = 2
2x = 3d
2x = 3(2)
2x = 6
x = 3
Answer: The first term is 3. The common difference is 2.
Answer: 43.6 is the answer for your problem. If you have a question, just ask me.
A kite is a four-sided polygon with two sets of equal side. If we let x be the length of the first two sides, we represent the length of the second set as 2x-5. Given the perimeter,
P = 2L + 2W
8 = 2(x) + 2(2x - 5)
The value of x is 3. Thus, the sides of the kite measure 3 cm, 3 cm, 1 cm, and 1 cm.
Answer:
Option C. 44 degree
Step-by-step explanation:
Let
A-----> the angle of the elevation of the sun
we know that
The tangent of angle A is equal to divide the opposite side angle A by the adjacent side angle A
In this problem
The opposite side is 30 meters
The adjacent side is 31 meters
