Answer:
There are 36 possibilities per character (26 lower case letters + 10 numbers), so the total number of permutations are 36^4 = 1,679,616
Step-by-step explanation:
Absolute value means the distance from 0.
|-0.45| =0.45
|-0.0045|=0.0045
0.45>0.0045
So
|-0.45|>|-0.0045|
Answer:
<em>The area of the shaded region is 3.</em>
Step-by-step explanation:
Since point E lies halfway between AB and BC, the area of the shaded region (As) consists of two identical triangles with base equal to AB and height equal to half the measure of BC:
Where At is the area of each triangle.
We know AB=3 and BC=2, thus:
Simplifying:
Finally:
The area of the shaded region is 3.
Note the area of the shaded region is half the area of the rectangle.
Answer:
9 years old.
Step-by-step explanation:
Since the ages of all of these students are being represented in relation to the middle student's age then we can create formulas for each student and then apply them to the formula for the sum of their ages and solve for the middle child's age (M) like so... (oldest child's age is represented by variable O and youngest child's age is represented by variable Y)
O = M + 6
Y = M - 3
30 = (M+6) + M + (M-3) ... combine like terms
30 = 3M + 3 ... subtract 3 from both sides
27 = 3M ... divide both sides by 3
9 = M
Now we know that the middle child is 9 years old.
9514 1404 393
Answer:
(b) 24/25
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to help you remember that ...
Sin = Opposite/Hypotenuse
sin(C) = AT/CT
sin(C) = 24/25