Joe runs one lap around a track in 80 seconds. Joe and Jim meet after 30 seconds.We know how long does it take for Joe to run one lap, so we can calculate what distance he runs in 30 seconds:
He runs half lap for 40 seconds. He runs quarter lap for 20 minutes and he runs 1/8 lap for ten minutes. So for 30 seconds he runs 3 * 1/8 lap=3/8 lap.
Because Jim runs in opposite direction this means that he will meat with Joe at 1-3/8=5/8 lap. So, Jim runs 5/8 lap for 30 seconds.
1/8 lap Jim runs for 30/5=6 seconds, so Jim needs 8*6=48 seconds to run the lap.
After 30 seconds Joe has run e runs
9514 1404 393
Answer:
no
Step-by-step explanation:
It is close, but not exactly a right triangle.
If it were a right triangle, we would have ...
21² +70² = 73²
We have instead ...
441 +4900 ≠ 5329
5341 ≠ 5329 . . . . . . . . not a right triangle
Answer:
Step-by-step explanation:
- The product of two matrices
and 
equals a matrix 
, where the first element of the subscript represents the amount of files of the matrix and the second element represents the amount of columns of the matrix. - Then, in this case
, therefore, its product will result a matrix 
. - Because C matrix is going to have an only file and three columns, we now have to find the values of the elements in each column, based on the elements of A and B.
- Commonly, to obtain the values of the resulting matrix, we just have to multiply each file of the first matrix by each column of the second matrix and sum, as follows:
- Finally, C matrix is
Answer:
SEE BELOW
Step-by-step explanation:
Since, △ABC is a right angled triangle. We can apply Pythagoras' Theorem to find the length of AB.
According to Pythagoras’ theorem, “In a right angled triangle: The square of the hypotenuse is equal to the sum of the squares of the other two sides.”
Applying Pythagoras’ theorem in △ABC, we get
AB2=AC2+BC2
⇒AB2=52+122
⇒AB2=25+144
⇒AB2=169
⇒AB=169−−−√
⇒AB=13 cm
