Answer:
9 cm
Step-by-step explanation:
V = 1/3 pi r^2 h
V = 1/3 * 3.14 * 5^2 * h
236 = 1/3 * 3.14 * 25 * h
236 = 26.1667 h
236 / 26.1667 = h
9.019 = h
Rounded to the nearest whole number the h is about 9 cm.
Answer:
Each person gets 7 cookies.
Step-by-step explanation:
Total cookies: 85
Total people will receive cookies: 12
If we estimate it to the whole number, that means each person will get 7 cookies.
Answer:
Both A and B are true identities
Step-by-step explanation:
A. N ( n − 2 ) ( n + 2 ) = n 3 − 4 n
We need to show that (left-hand-side)L.H.S = R.H.S (right-hand-side)
So,
n ( n − 2 ) ( n + 2 ) = n(n² - 2²) (difference of two squares)
= n³ - 2²n (expanding the brackets)
= n³ - 4n (simplifying)
So, L.H.S = R.H.S
B. ( x + 1 )² − 2x + y² = x² + y² + 1
We need to show that (left-hand-side)L.H.S = R.H.S (right-hand-side)
So,
( x + 1 )² − 2x + y² = x² + 2x + 1 - 2x + y² (expanding the brackets)
= x² + 2x - 2x + 1 + y² (collecting like terms)
= x² + 1 + y²
= x² + y² + 1 (re-arranging)
So, L.H.S = R.H.S
So, both A and B are true identities since we have been able to show that L.H.S = R.H.S in both situations.
The answer is C for the question
