The distance in kilometers in scientific notation
Scale factors are values or constants multiplied with a variable
If Alvin and Simon raced a distance of kilometers and they need to race 7 times that distance in a kilometer, the distance traveled will be:
Hence the distance in kilometers in scientific notation
Learn more on distance here: brainly.com/question/23848540
Answer:
85 units^2 = Area of Blue Square
and
x = 5 units
Step-by-step explanation:
To do this we use the Pythagorean theorem (a^2 + b^2 = c^2). a and b represent the legs of the triangle whereas c represents the longest side of the triangle, or the hypotenuse.
Since we know the area of a square is the side length multiplied by itself (or the side length squared), is the side length of the pink square and
is the side length of the green square.
That means a = and b =
, so...
35 + 50 = c^2
85 = c^2
Now we need to square the square root of 85 to find the area of the blue square.
85 units^2 = Area of Blue Square
To solve the other question we use the same formula again.
x = 5 units
This is a problem of Permutations. We have 3 cases depending on the number of B's. Since no more than three B's can be used we can use either one, two or three B's at a time.
Case 1: Five A's and One B
Total number of letters = 6
Total number of words possible =
Case 2: Five A's and Two B's
Total number of letters = 7
Total number of words possible =
Case 3: Five A's and Three B's
Total number of letters = 8
Total number of words possible =
Total number of possible words will be the sum of all three cases.
Therefore, the total number of words that can be written using exactly five A's and no more than three B's (and no other letters) are 6 + 21 + 56 = 83