Answer:
512
Step-by-step explanation:
∛n = 8
n = 512
double check
∛512 = ∛(8)^3 = 8
Sum of three numbers is 33 and sum of their cubes is 5049 then three numbers are 7,11,15 or 15,11,7.
As given,
Let a-d, a, a +d be three numbers
Sum =33
⇒a-d + a +a +d =33
⇒ a =11
Sum of cubes= 5049
⇒ (a-d)³ + a +(a +d)³ =5049
⇒ a³ -d³ -3a²d +3ad² + a³ +a³ +d³ +3a²d +3ad² =5049
⇒3a³ + 6ad² = 5049
⇒ d=± 4
Therefore, sum of three numbers is 33 and sum of their cubes is 5049 then three numbers are 7,11,15 or 15,11,7.
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Answer:
1a) 1141/660
3/5 + 6/11 +7/12
find the LCM of the denominators
the LCM of 5,11,12 is 660
after finding the LCM divide it with the denominator.
after dividing 660 by 5 i get 132. So i need to multiply it with 3. Now, i got 396. Do the same with the rest of the numbers.
u will get smth like this: 396+360+385/660
and the final answer will be1141/660.
b) 71/40
c) 211/28
d) 103/20
I assume the solid is a "regular hexagonal prism", by which it means that the cross section is a regular hexagon with all sides and angles equal.
Also, the exact apothem is 9.5262... but we will adopt the given value of 9.5.
First lateral surface area
A1=6*side length*height=6*11*20=1320 units
Then the end areas
A2=2 faces * 6 triangles/face * [base * height (apothem) /2]
=2*6*11*9.5/2
=627 units
Total area=1320+627=1947 units
Answer:
16
Step-by-step explanation:
Remember to use pemdas:
8÷2(2+2)
First we do whats in parentheses.
= 8÷2(4)
Then we do multiplication and division from left to right
= 4(4)
= 16
So the answer is 16. Remember that multiplication and division have the same priority in pemdas, and you should always do them left to right, because order does matter.
