To simplify mixed numbers, Divide 13 and 7. We get 1 R 6. Since the remainder is out of 7, the mixed number would be 1 6/7
Hope this helps!
Volume of the cylinder = πr²h = π(1)² (21) = 21π cm³
Volume of the cone = 1/3 π r² h
21π = 1/3 π (r)² (7)
r³ = 21π ÷ (7/3 π)
r² = 9
r = 3
Answer : Radius = 3
2 divided by 4/10 is 5 its that easy.
Step-1 : Multiply the coefficient of the first term by the constant 6 • -10 = -60
Step-2 : Find two factors of -60 whose sum equals the coefficient of the middle term, which is -11 .
-60 + 1 = -59
-30 + 2 = -28
-20 + 3 = -17
-15 + 4 = -11 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -15 and 4
6n2 - 15n + 4n - 10
Step-4 : Add up the first 2 terms, pulling out like factors :
3n • (2n-5)
Add up the last 2 terms, pulling out common factors :
2 • (2n-5)
Step-5 : Add up the four terms of step 4 :
(3n+2) • (2n-5)
Which is the desired factorization
Final result :
(2n - 5) • (3n + 2)
Answer:
√a(√a + 2) a - 2√a
----------------- = -----------------
a - 4 a - 4
Step-by-step explanation:
I am assuming that by "sqrt(a)/sqrt(a)-2" you meant:
√a
----------
√a - 2
To rationalize the denom., multiply numerator and denom. of this fraction by the conjugate of √a - 2, which is √a + 2:
√a(√a + 2)
-----------------
a - 4
