Since we can't use a zero at the start and end, then we have 810 different ways.
If we can't have a leading digit of zero, then we still have 9 available digits to choose from (9P1)
Now, the second term can be of any number, so we will have 10 different digits to choose 1 (10P1)
Now, the final term cannot be a zero, so we will have 9 available digits to choose from (9P1)
Hence, our final number of ways is: 9 × 10 × 9 = 810 ways.
Answer:
(a)
Given expression: 49% of 162
we can write 49% as
then;
Therefore, the estimate of the given expression is, 79.38.
(b)
Using mental math to calculate 49% of 162.
Mental math is used as a way to calculate an estimate quickly.
We can write 49% = 50% -1%
(50%-1%) of 162 = 50% of 162 -1% of 162
so,
50% of 162 =
and
1% of 162 =
Now, subtract these we get;
81 - 1.62 = 79.38
Therefore, by using mental math 49% of 162 is, 79.38
Answer:
Step-by-step explanation:
Answer:
The distance is:
Step-by-step explanation:
We re-write the equation of the line in the format:
Notice we divided the fraction of y by 2/2, and the fraction of z by 3/3.
In that equation, the director vector of the line is built with the denominators of the equation of the line, thus:
Then the parametric equations of the line along that vector and passing through the point (-2, 3, -4) are:
We plug them into the equation of the plane to get the intersection of that line and the plane, since that intersection is the image on the plane of the point (-2, 3, -4) parallel to the given line:
Then we solve that equation for t, to get:
Then plugging that value of t into the parametric equations of the line we get the coordinates of the intersection:
Then to find the distance we just use the distance formula:
So we get:
The shorter piece is 3/10 of the 1.5m long piece of wood.
1.5/10=0.15
0.15*3=0.45
The shorter piece is 0.45m or 45cm long.
Hope this helps :)