Answer:
495
Step-by-step explanation:
This problem can be solved b using a combination. We're using a combination for this because the order in which you would pick the books doesn't matter. To solve, we would plug in the number of books, in this case 12, into the n value of the combination. Then we would plug in the number of books that would be picked, in this case 4, into the r value of the combination. Solve the combination, and you get 495.
Answer:
Left up x=34
Left down x=87
Right x=17
Step-by-step explanation:
The picture is the working out.
first term = initial number
second term = initial number + common difference
third term = initial number + 2(common difference)
So...
2x+5-(x+4) = common difference
4x+3-(2x+5) = also common difference
2x+5-(x+4) = x+1
4x+3-(2x+5) = 2x-2
Because x+1=2x-2 we can solve for x.
x=3
So the sequence goes... 7,11,15...
19 is the fourth term
Answer:
The answer to your question is leg 2 = 0.9 in
Step-by-step explanation:
Data
Leg 1 = 4 in
hypotenuse = 4.1 in
Leg 2 = ?
Process
To solve this problem use the Pythagorean theorem, solve for leg 2 and simplify to get the result.
Pythagorean theorem
c² = a² + b²
or hypotenuse² = leg 1² + leg 2²
-Solve for leg 2²
leg 2² = hypotenuse² - leg 1²
-Substitution
leg 2² = 4.1² - 4²
-Simplification
leg 2² = 16.81 - 16
leg 2² = 0.81
leg 2 = 0.9 in
Answer:
2
Step-by-step explanation: