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enot [183]
3 years ago
9

what is the least possible value of the smallest of 99 consecutive positive integers whose sum is a perfect cube

Mathematics
1 answer:
dimaraw [331]3 years ago
4 0
First, try 99^3 = 970299; therefore, it is not the least possible value. 

The above number is a multiple of 99, so we can factor this out to find the least possible value. So we try to factor 99: 

99 = 9 * 11
99 = 3^2 * 11^ 1

and 3^3 * 11^3 = 35937

The least possible value is 4^1 + 11^2 = 125. Its sum is 125 which is a perfect cube. 


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What’s the surface area of the prism in square inches? A.300 B.360 C.390 D.460 helpppppp
butalik [34]

Answer:

2) 360 square inches

Step-by-step explanation:

First of all we have to verify that the base triangle is a right triangle

For this we use Pythagoras

h² = l1² + l2²

13² = 12² + 5²

169 = 144 + 25

169 = 169

Equality is fulfilled by what is a right triangle

Now we need to calculate the area of ​​the triangle

a = (12 in * 5 in) / 2

a = 60in² / 2

a = 30in²

 

Now we have to calculate the 3 areas of the rectangles

a1 = 10in * 13 in

a1 = 130in²

a2 = 10 in * 12 in

a2 = 120in²

a3 = 10 in * 5 in

a3 = 50in²

Now we must add all the calculated areas and the triangle 2 times

a1 + a2 + a3 + 2a =

130in² + 120in² + 50in² + 2 * 30in²

360in²

The surface area of the prism is 360in²

5 0
3 years ago
Read 2 more answers
If a = -10/5 then a =... <br><br><br> Please help ASAP!
Sladkaya [172]

Answer:

-2   hope this helps!   :)

Step-by-step explanation:

-10 over 5 is -2

so a = -2

7 0
3 years ago
A) A shopkeeper marked the price of an article a certain percent above the cost price and
Afina-wow [57]

Answer:

25%

Step-by-step explanation:

customer paid = 9492

less vat (13%) .net =8400

discount =16%==marked price = 8400X 100/84==10,000

profit on sale =5% .  cost :=8000

% on cost   (2000/ 8000) X100 =25%

3 0
3 years ago
Helppp is this the right answer ?!!!
Anna [14]

Answer:

yup

Step-by-step explanation:

3 0
3 years ago
Between which two consecutive integers does <img src="https://tex.z-dn.net/?f=%5Csqrt%7B%7D%2012%5C%5C" id="TexFormula1" title="
Annette [7]

The most appropriate choice for square root will be given by-

\sqrt{12} lies between 3 and 4

What is square root of a number?

Number raised to the power \frac{1}{2} is the square root of  the number.

Here

\sqrt{12}\\ 2\sqrt{3}\\ 2*1.732\\3.464\\

3.464 lies between 3 and 4

\sqrt{12} lies between 3 and 4

To learn more about square root of a number, refer to the link:

brainly.com/question/3617398

#SPJ9

7 0
1 year ago
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