Answer:
Below in bold.
Step-by-step explanation:
First term a1 = 13
11th term a11 = a1 + 10d = 83
So a1 + 10d - a1 = 83 - 13
10d = 70
d = 10
The common difference d = 7.
Sum of n terms = (n/2)[2a1 + (n - 1)d]
Sum of the first 20 terms:
S20 = (20/2)[2*13 + (20-1)7]
S20 = 10 *(26 + 19*7)
S20 = 10*159 = 1590.
1,133,683,000 is 1,133,682,501 rounded to the nearest thousands
Answer:
x ≈ 8.39
Step-by-step explanation:
You'd have to use the tangent ratio in order to solve for x.
tangent ratio = opposite/adjacent
tan 50° = 10/x
x = 10/tan 50°
x = 8.39099631177
≈ 8.39
We know that the law of sines states that:
For simplicity, let:
In triangle A1BC this leads to:
Therefore:
Now, triangle A2BC is isosceles which means that both the base angles are equal, since angle CA1B and A2A1B are supplementary we have:
Answer:
The answer is 172.7 centimeters.
Step-by-step explanation:
1.) There are 12 inches in a foot. Multiply 5 feet by 12 inches, the answer would be 60 inches.
2.) Add the additional 8 inches to the 60 to get 68 inches total.
3.) Multiply 68 inches by 2.54 centimeters, the answer is 172.72 centimeters.
4.) Round off your answer to the tenths decimal place to get 172.7 centimeters total.