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evablogger [386]
4 years ago
9

10^2+12^2+14^2+......+26^2=??

Mathematics
1 answer:
Kazeer [188]4 years ago
3 0

Answer:

3156

Step-by-step explanation:

  • <em>Used formula:</em>
  • <em>(1² + 2² + 3² + ... + n²) =1/6*n(n + 1)(2n + 1)</em>

--------

  • 10²+12²+14²+......+26² =
  • (2*5)²+(2*6)² + (2*7)² + ... + (2*13)² =
  • 4*(5²+6²+7²+...+13²) =
  • 4*(1²+2²+...+13² - (1²+2²+3²+4²)) =
  • 4*(1/6*13(13+1)(2*13+1) - (1+4+9+16)) =
  • 4*(1/6*13*14*27- 30) =
  • 4*(819 - 30) =
  • 4*789 =
  • 3156
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A pole that is 2.5 m tall casts a shadow that is 1.34 m long. At the same time, a nearby building casts a shadow that is 46.5 m
dalvyx [7]

Answer:

86.8 m long

Step-by-step explanation:

A pole that is 2.5 m tall casts a shadow that is 1.34 m long. At the same time, a nearby building casts a shadow that is 46.5 m long. How tall is the building? Round to the nearest meter

We solve the above question using the Proportion formula:

Height of the pole/Shadow of the pole = Height of the building /Shadow of the building

Height of the pole = 2.5m

Shadow of the pole = 1.34 m

Height of the building = x

Shadow of the building = 46.5m

Hence:

2.5m/1.34m = x/46.5m

Cross Multiply

1.34m × x = 2.5m × 46.5m

x = 2.5m × 46.5m/1.34m

x = 86.753731343m

Approximately , The height of the building = 86.8 m

7 0
3 years ago
Help plsss!!! i just need to know a,b,c or d
ANTONII [103]

Answer:

THE ANSWER IS 8 OPTION B

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4 0
3 years ago
WILL GIVE U BRAINLIEST NEED HELP PLEASE
sasho [114]
Since you can see that the triangle is isosceles triangle the length of the 2 side will be same

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8 0
1 year ago
The Masons built a deck in their backyard.<br><br><br><br> What is the area of the deck? (NO units)
ozzi
Take the area of the rectangle as a whole and subtract the triangle piece.
We know the dimensions of the triangle are 3x4 so you can multiply it out using the formula to find the triangle's area to get 6.
Then you calculate the area of the whole rectangle. 10x12=120.
Finally subtract the triangle from the rectangle. 120-6=114.
The Area of the deck is 114.
4 0
3 years ago
The mean game scores and standard deviations of four seasons of a football team are given below. Season Mean Standard Deviation
Alecsey [184]
Higher standard deviation shows a greater spread of the data. 

2005 - sd=3.5
2006 - sd=2.8
2007 - sd=1.0
2008 - sd=4.0

The correct statement is the last statement which says the game scores of season 2005 have a greater spread than the game scores of season 2006
6 0
3 years ago
Read 2 more answers
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