To find the product of a reasonable estimate of two decimal numbers, round each decimals to the nearest whole number and then perform the multiplication.
For example:
3.2 x 5.7
Estimated answer
3.2 will be rounded down to 3 and 5.7 will be rounded up to 6
⇒ 3 x 6 = 18
Actual Answer
3.2 x 5.7
=18.24
34^2 + 20^2 = 1156 + 400 = 1556
47^2 = 2209
because the squares of the 2 smaller sides is less than the square of the longer side the triangle is Obtuse
Answer:
Let the vectors be
a = [0, 1, 2] and
b = [1, -2, 3]
( 1 ) The cross product of a and b (a x b) is the vector that is perpendicular (orthogonal) to a and b.
Let the cross product be another vector c.
To find the cross product (c) of a and b, we have
![\left[\begin{array}{ccc}i&j&k\\0&1&2\\1&-2&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Di%26j%26k%5C%5C0%261%262%5C%5C1%26-2%263%5Cend%7Barray%7D%5Cright%5D)
c = i(3 + 4) - j(0 - 2) + k(0 - 1)
c = 7i + 2j - k
c = [7, 2, -1]
( 2 ) Convert the orthogonal vector (c) to a unit vector using the formula:
c / | c |
Where | c | = √ (7)² + (2)² + (-1)² = 3√6
Therefore, the unit vector is
or
[
,
,
]
The other unit vector which is also orthogonal to a and b is calculated by multiplying the first unit vector by -1. The result is as follows:
[
,
,
]
In conclusion, the two unit vectors are;
[
,
,
]
and
[
,
,
]
<em>Hope this helps!</em>
Yes because a triangles are is 1/3 b x h and a rectangles area is just b x h. The triangle would get smaller because it doesn’t have one corner, and the rectangle would keep a constant size.
The perimeter of an equilateral triangle is just 3s as all the sides are, well, equal :) so
P=3s and we are told that P=24.6 so
3s=24.6
s=8.2 cm