Answer:
The sum of the first 6 terms of the series is 504.
Step-by-step explanation:
Given that,
Common ratio in a geometric series is, r = 0.5
First term of the series, a = 256
We need to find the sum of the first 6 terms in the series. If a and r area the first term and common ratio of a series, then the series becomes:
The sum of n terms of a GP is given by :
Here, n = 6
So, the sum of the first 6 terms of the series is 504.
Answer:
each Tomskians will build 6 igloos per week
each Kyzylians will build 5 igloos per week
They achieved their goal
Step-by-step explanation:
6T + 5K ≥ 152
T = Tomskians
and each Tomskians will build 6 igloos per week
K = Kyzylians
and each Kyzylians will build 5 igloos per week
This is found by taking the coefficient on the inequality.
Substituting the values of T =10 and K = 19
6T + 5K ≥ 152
6*10 + 5*19 ≥ 152
60 + 95
155 ≥ 152
This is true, so they hired enough people.
Answer:x = 55
Explanation:In a parallelogram, the sum of each two consecutive angles is 180°.
In the given parallelogram ABCD, we can note that angles A and B are consecutive angles. This means that their summation is 180°
Therefore:
∠A + ∠B = 180
2x + 15 + x = 180
3x + 15 = 180
3x = 180 - 15
3x = 165
x = 165 / 3
x = 55
Now we can check:
angle A = 2(55) + 15 = 125°
angle B = 55°
angle A + angle B = 125 + 55 = 180°
Hope this helps :)
A 48 pi in 2 It’s pretty easy just find the formula for it and plug the numbers in on a calculator.
