I think it’s the last one but I’m not sure
Answer:
eqn : 9 x 9 x h = 1620
h = 1620 / 81 = 20
Step-by-step explanation:
Answer:
The value of the 2 is two-thousand
Step-by-step explanation:
Explanation:
Conversion of a quadratic equation from standard form to vertex form is done by completing the square method.
Assume the quadratic equation to be
where x is the variable.
Completing the square method is as follows:
- send the constant term to other side of equal

- divide the whole equation be coefficient of
, this will give 
- add
to both side of equality 
- Make one fraction on the right side and compress the expression on the left side

- rearrange the terms will give the vertex form of standard quadratic equation

Follow the above procedure will give the vertex form.
(NOTE : you must know that
. Use this equation in transforming the equation from step 3 to step 4)
Answer:
Step-by-step explanation:
A boat leaves the harbor entrance and travels 28 miles in the direction N 43° E.
Displacement in vector form
= 28 cos43 i + 28sin43j
= 20.47 i + 19.1 j
The captain then turns the boat 90° and travels another 15 miles in the direction S 47° E
Displacement
= 15 cos47 i - 15 sin47 j
= 10.22 i - 10.97 j
Total displacement
= 20.47 i + 19.1 j + 10.22 i - 10.97 j
= 30.69 i - 8.13 j
Magnitude of displacement
= 31.75 miles
Angle with east direction
TanФ = - 8.13 / 30.69
Ф = 15 degree south of east.