Answer:
1,00000,00,00
Step-by-step explanation:
The digits 46987 can be arranged in 120 unique combinations using the permutation formula 5! (5 factorial), accounting for all possible orders of these digits.
While organizing the digits 46987, there are 120 unmistakable mixes conceivable. Still up in the air by ascertaining the factorial of the quantity of digits (5!), yielding 120. Every game plan brings about a remarkable mix. For instance, 46987, 78694, and 98746 are among the changed stages.
The idea of changes has expansive applications, going from arithmetic to software engineering, where request matters. In combinatorics, the investigation of counting and game plan, changes assume an essential part. These 120 mixes grandstand the adaptability of revamping only five digits.
Showing the dramatic development in potential outcomes as the quantity of digits increments. This numerical standard impacts fields like cryptography, where producing one of a kind successions is significant for security. Generally, the changes of 46987 outline the charming and strong parts of numerical control and request.
To learn more about Combinations, refer:
Center at (-1, 3), radius = 4
A. (x+3)2+(y−1)2=4
B. (x−3)2+(y+1)2=4
C. (x−1)2+(y+3)2=16
D. (x+1)2+(y−3)2=16
Answer:
D.
Step-by-step explanation:
We are asked to write equation of a circle whose center is at point and whose radius is 4 units.
We know that equation of a circle is standard form is in format , where is the center of circle.
Upon substituting , and in the standard form of circle, we will get:
Therefore, our required equation would be and option D is the correct choice.
Answer:
It is D. (x + 1)^2 + (y - 3)^2 = 16.
Step-by-step explanation:
The general equation of a circle is
(x - h)^2 + (y - k)^2 = r^2 where the center is (h, k) and the radius is r.
So substituting the given values the required equation is:
(x + 1)^2 + (y - 3)^2 = 4^2.
Answer:
60
Step-by-step explanation:
Just multiply 3, 4 and 5 together. You'll get 60.
Answer:
60
Step-by-step explanation:
cake method:
arrange 3,4and 5 inside your"cake"
ask your self do 3,4 and 5 have any common factors
if not factor out one of the numbers
OBJECTIVE IS TO GET ALL NUMBERS TO 1 and multiply all factors once they do
so
3 goes into 3 once
3 goes into 4 0 times
and 3 goes into 5 0 times
next take 4 and do the same
take 5 and do the same as well
the factors u should be left with are 3,4,5
now multiply these
3*4*5=60
lcm=60
Answer:
The best option is;
A triangle with three equal sides all longer than 12 inches
Step-by-step explanation:
The cross sectional area of the square prism that passes through points A, B and C is found as follows;
Shape of cross section ABC = Triangle
Base, AB of the triangle is given by;
AB = √(8² + 8²) = √128 = 8·√2
Side, AC of the triangle is given by AC = √(8² + 12²) = 4√13
Therefore, the height of the triangle is given as follows;
Height, h = √(4·√13)²-(4·√2)² = 4·√11
The area of the cross section then is 0.5 × Base × Height
= 0.5 × 8·√2 × 4·√11 = 16·√22
A triangle with 3 equal sides of 8 inches has an area of 4×8×sin(60) = 16√3
A triangle with 2 equal sides of 12 inches and one side of 8 inches has an area of 4×12×sin(60) = 24√3
Therefore since 16·√22 > 24√3 > 16√3, the best option is a triangle with three equal sides of all longer than 12 inches.