Sum f(k)=4k-10 for k=1 to 18.
We sum each term separately and add the sums.
![\sum_1^{18}4k=4\sum_1^{18}k=4[18(1+18)/2]=4*9*19=684](https://tex.z-dn.net/?f=%5Csum_1%5E%7B18%7D4k%3D4%5Csum_1%5E%7B18%7Dk%3D4%5B18%281%2B18%29%2F2%5D%3D4%2A9%2A19%3D684)
Therefore the required sum is 684-180=504
Cut the three lines off center enough so that when they intersect they form a seventh piece in the center of the circle. I hope this is clear enough. If it's not, tell me and I'll try to elaborate further.
Answer:
See below.
Step-by-step explanation:
<u>Given</u> :
- ΔMAL ≅ ΔDLA, DL = MA, ∠MAL = ∠DLA
- ∠M = 30°
- DL = (2x + 10) cm
- MA = (3x - 2) cm
- AL = (x + 5) cm
<u>To Find</u> :
- DL
- AL
- ∠DLA
- ∠ADL
<u>Solving</u> :
- DL = MA
- 2x + 10 = 3x - 2
- x = 12
- <u>DL = 24 + 10 = 34 cm</u>
- AL = x + 5
- AL = 12 + 5
- <u>AL = 17 cm</u>
- ∠DLA = 180° - 90° - 30° = 180° - 120° = <u>60°</u>
For problems like these, we can set both sides of the equation equal to y. This is because both sides of the equation are equal to each other. If we were to take the left side of the equation and set it equal to y, the right side would also be equal to y. Similarly, if we were to set the right side of the equation equal to y, the left side of the equation would also be equal to y. Setting both equations equal to y will produce two equations which can be used in a system of equations.
Thus, our answer is:
y = (1/6)x - 5
y = (1/5)x + 2
20 or more candles must be sold to reach the goal.
Step-by-step explanation:
Given,
Each candle contributes = $5.50
x be the number of candles.
Amount needs to be earned = $110 or more
Therefore,
According to given statement;
5.50x ≥ 110
20 or more candles must be sold to reach the goal.
Keywords: linear inequality
Learn more about linear inequalities at:
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