Answer:

Step-by-step explanation:
The magnitude of a vector
is
, which essentially describes the length of the vector itself between the initial and terminal points:

Steps:
1. To do this problem, you have to divide the area by the length
2. To make this easier, turn both numbers into improper fractions
143/32 divided by 11/4
3. To divide you actually have to multiply by the reciprocal
143/32 times 4/11 equals 572/352
4. Turn 572/352 into a mixed number which is 1 220/352
5. Now you simplify it by dividing the numerator and denominator by 44
6. Your answer is.
1 5/8
Answer:
Not possible.
Step-by-step explanation:
Addition of Matrix A and Matrix B is possible only if the order of matrix A is same as the order of matrix B.
Order of a matrix with
rows and
columns is
.
Here, matrix A is ![\left[\begin{array}{ccc}2&-4\\-4&10\\0&-8\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26-4%5C%5C-4%2610%5C%5C0%26-8%5Cend%7Barray%7D%5Cright%5D)
Matrix B is
.
Multiplying a matrix by a constant doesn't change its order.
So, order of matrix A is
as it has 3 rows and 2 columns.
The order of matrix 3B is
as it has 2 rows and 3 columns.
Therefore, addition is not possible as the order is different.
Answer:
25.2294 feet
Step-by-step explanation:
We can solve this question drawing a triangle using the values given and then using the law of sines. (See image attached to know how to draw the triangle and use the values).
First we need to find the third angle of the triangle, that is, the angle in the vertix where the bird is:
y + 55 + 63 = 180
y = 62°
The relation between the angles and the distances are:
25 / sin(y) = x / sin(63)
25 / 0.8829 = x / 0.8910
x = 25 * 0.8910 / 0.8829 = 25.2294 feet
X - 3
if x = 7 then 7 - 3 = 4
answer
4