Here is a simple way we can do this.
We have six blanks.
__ __ __ __ __ __
Now, we have 13 possible options to fill in blank number one.
13 __ __ __ __ __
Now we have 12 possible options to fill in blank number two because one person has already been chosen.
13 12 __ __ __ __
Now we have 11 possible options for blank number three.
13 12 11 __ __ __
Now we have 10 possible options for blank number four.
13 12 11 10 __ __
And so forth until we get:
13 12 11 10 9 8
Now we just have to multiply the numbers all together.
13 * 12 * 11 * 10 * 9 * 8
is equal to:
1235520 ways.
Answer:A triangle is a polygon which has three sides and can be categorized into the follow ... sides of the triangle, and s = ½ (a + b + c) is the semi-perimeter of the triangle. ... Example 1: Find the area of a triangle whose base is 14 cm and height is 10 cm. ... a = 5cm and b = 7cm. C = 45o. Solution: Area of a triangle = ½ · a · b · sinC.
Step-by-step explanation:
9514 1404 393
Answer:
(a, b, c) = (30, 50, 55)
Step-by-step explanation:
If we rewrite the ratio of A to B so it has the same number of ratio units as in the ratio of A to C, we have ...
A : B = 3 : 5 = 6 : 10
A : C = 6 : 11
so ...
A : B : C = 6 : 10 : 11
The total number of ratio units is 27. They stand for 135 real units, so each one stands for 135/27 = 5 real units.
Multiplying the last ratio statement by 5, we find the lengths of each of the sides.
A : B : C = 6 : 10 : 11 = 30 : 50 : 55
The side lengths are (a, b, c) = (30, 50, 55).
Answer:
We know that this triangle is similar because it will have all of the same angles as the first triangle. This is because two parallel lines cut by a transversal will create the same angles. In addition, they share the final angle because we are not changing that angle. Therefore, all 3 are the same, which makes them similar triangles.
The answer is 3. Divide 5375 by 4 to get 1343.75. Remainder for each friend is .75, so multiply .75 by 4. 3 cards left over.