<h3>
Answer: 4865</h3>
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Explanation:
The sequence {3,11,19,...} is arithmetic since we are adding 8 to each term to get the next one
etc. This means the common difference is d = 8.
The first term is a = 3
Let's use this formula
S = n*(2*a + d(n - 1) )/2
so we can find the sum of the first n terms. In this case, n = 35
So,
S = n*(2*a + d(n - 1) )/2
S = 35*(2*3 + 8(35 - 1) )/2
S = 35*(6 + 8(34))/2
S = 35*(6 + 272)/2
S = 35*(278)/2
S = 35*139
S = 4865
Answer:c
Step-by-step explanation:
The area of parallelogram A is;
Area = 312²
A = bh = 13 · 24 = 312
The area of parallelogram B is;
Area = 195²
A = bh = 15 · 13 = 195
The area of parallelogram B is;
Area = 384²
A = bh = 24 · 16 = 384
Distributive properties come in many forms and it looks like it goes to the negative lateral I hope this helps
Answer:
Yes
Step-by-step explanation:
I think it is proportional relationship. I hope my answer help you.
Answer:
Perimeter = 18.7 units
Area = 13.5 units²
Step-by-step explanation:
Perimeter of ADEC = AD + DE + EC + AC
Length of AD = 3 units
By applying Pythagoras theorem in ΔDBE,
DE² = DB² + BE²
DE² = 3² + 3²
DE = √18
DE = 4.24 units
Length of EC = 3 units
By applying Pythagoras theorem in ΔABC,
AC² = AB² + BC²
AC² = 6² + 6²
AC = √72
AC = 8.49 units
Perimeter of ADEC = 3 + 4.24 + 3 + 8.49
= 18.73 units
≈ 18.7 units
Area of ADEC = Area of ΔABC - Area of ΔBDE
Area of ΔABC = 
= 
= 18 units²
Area of ΔBDE = 
= 
= 4.5 units²
Area of ADEC = 18 - 4.5
= 13.5 units²
