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hoa [83]
3 years ago
7

Find 1+ 2+ 3+ 4+ ... +50, the sum of the first 50 natural numbers. The sum is

Mathematics
1 answer:
SOVA2 [1]3 years ago
7 0

Step-by-step explanation:

First term(a) = 1

Common difference(d)=2-1=1

No.of term(n)=50

Sn=n÷2(n+1)=50÷2(50+1)=1275

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A family plans to have the hardwood floors in their square dining room re-finished, and new baseboards installed. The cost of re
Alexus [3.1K]

Answer:

Dimension of room = 18 foot x 18 foot

Step-by-step explanation:

Let the square room is of side a foot,

The cost of re-finishing the hardwood floors is $2.25 per square foot and the cost of purchasing and installing the new baseboards $14.5 per linear foot

Total cost is  $1773.

Cost for re-finishing the hardwood floors = Area x 2.25

Area = a²

Cost for re-finishing the hardwood floors = 2.25 a²

Cost of purchasing and installing the new baseboards = Perimeter x 14.5

Perimeter = 4a

Cost of purchasing and installing the new baseboards = 4a x 14.5 = 58 a

Total cost = Cost for re-finishing the hardwood floors + Cost of purchasing and installing the new baseboards

1773 = 2.25 a² + 58a

2.25 a² + 58a - 1773 = 0

a = 18 or a = -43.77(not possible)

Dimension of room = 18 foot x 18 foot

7 0
3 years ago
I need help plzzzzz!!
lara [203]

Answer:

Its either A or D

Step-by-step explanation:

8% simple interest of 800 once is 64 dollars. I am not sure if it is 8% every year. If it is every year then the interest is 320 dollars. Good Luck.

Brainliest Please

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6 0
3 years ago
Help with this please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Crank

Answer:

m∡A = 41.4°

m∡B = 48.6°

m∡C = 90°

a = 3\sqrt{7}

b = 9

c = 12

Step-by-step explanation:

to find the length of side 'a' I used the Pythagorean Theorem to get:

a² + 9² = 12²

a² + 81 = 144

a² = 63

a = \sqrt{63} which equals \sqrt{9}\sqrt{7} which is 3\sqrt{7}

to find m∡B I found the arcsin(B) = 9/12 to get 48.6

to find m∡A I subtracted the sum of 90 + 48.6 from 180°

5 0
3 years ago
The values of x and y vary directly
ss7ja [257]

Answer:

y = (1/4)x

Step-by-step explanation:

"Direct variation" here signifies y = kx, where k is the constant of proportionality.

Then y = kx.  Here we are to find k using the info that x = 12 and y = 3:

3 = k(12), or

k = 3/12, or k = 1/4

Then y = (1/4)x

6 0
3 years ago
Read 2 more answers
PLEASE HELP FAST!!!
Rus_ich [418]

\\ \sf\longmapsto 3s-5+2s+25=170

\\ \sf\longmapsto 5s+20=170

\\ \sf\longmapsto 5s=170-20

\\ \sf\longmapsto 5s=150

\\ \sf\longmapsto s=30

  • m<GHZ=3(30)-5=90-5=85
  • m<ZHI=2(30)+25=60+25=85
4 0
3 years ago
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