Answer:
V ≈ 68.63 cm³
Step-by-step explanation:
the volume (V) of a sphere is calculated as
V =
πr³
the volume of a hemisphere is half the volume of a sphere, so
V =
×
πr³ =
πr³ , then
V =
π × 3.2³
=
π × 32.768
≈ 68.63 cm³ ( to 2 dec. places )
Answer:
Step-by-step explanation:
a right triangle is half of a rectangle and the area of a rectangle is
area of rectangle = length × width
Area of a triangle is one half times the length times the width
area of triangle = 1/2 × length × width
in this case
length is the number of the y units
width is the number of x axis unit
area of triangle = 1/2 × length × width
area of triangle = 1/2 × (y units) × (x units) you need to count and insert
the number of units into the
equation
area of triangle = 1/2 × (??? y units ) × (??? x units ) do the math yourself
and see if you get one of
answers
Simply simplify:
7a³(7a²)-4a^6 ⇒ 49a^6 - 4a^6 ⇒ 45a^6
Hope that helps!
<h2>
Answer:</h2>
The values of x for which the given vectors are basis for R³ is:

<h2>
Step-by-step explanation:</h2>
We know that for a set of vectors are linearly independent if the matrix formed by these set of vectors is non-singular i.e. the determinant of the matrix formed by these vectors is non-zero.
We are given three vectors as:
(-1,0,-1), (2,1,2), (1,1, x)
The matrix formed by these vectors is:
![\left[\begin{array}{ccc}-1&2&1\\0&1&1\\-1&2&x\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%262%261%5C%5C0%261%261%5C%5C-1%262%26x%5Cend%7Barray%7D%5Cright%5D)
Now, the determinant of this matrix is:

Hence,
