Answer:
Therefore, There are 120 possibilities for the top three positions
Step-by-step explanation:
Given that : Six teammates are competing for first, second, and third place in a race.
Total number of teammates in the team = 6
Total number of positions offered for winning in the competition = 3 ( first, second, and third place)
Now, we need to find the number of possibilities for the top three positions
Possibility for 1st position = 6
Possibility for 2nd position = 5
Possibility for 3rd position = 4

Therefore, There are 120 possibilities for the top three positions
First we need to find the base and height of the triangle. We can see that the base goes from 3 to 11 on the coordinate plane. If we take 11 - 3, we get 8.
8 is our base. We can also see that the height goes from 3 to 12. 12 - 3 is 9, so our height is 9.
The formula for a triangle is (1/2)bh so 8 x 9 is 72, and 72 times 1/2 is 36.
The area of the triangle on the coordinate plane is 36 units
Answer:
answer: 31.4
Step-by-step explanation:
the formula to finding circumference is just diameter × pi we arent given the diameter so we have to figure it out but what we do know is the radius is half of the diameter so 5 x 2 = 10 so now that we have the diameter we just multiply by pi so 10 × 3.14 = 31.4 Hope this helps!
Answer:
Los turistas extranjeros fueron 3054 y los turistas nacionales fueron 5646.
Step-by-step explanation:
De acuerdo a la información proporcionada, debes calcular el 35,10% del total de turistas para determinar el número de turistas extranjeros y el 64,9% del total de turistas para encontrar el número de turistas nacionales:
8700*35,10%=3054
8700*64,9%=5646
De acuerdo a esto, la respuesta es que los turistas extranjeros fueron 3054 y los turistas nacionales fueron 5646.
Answer:
171 foot
Step-by-step explanation:
We are given that
Height of tower=135 ft
AC=55 ft
Let x be the length of shortest length of wire.
The angle of inclination of mountain with horizontal =
The angle between sides AB and BC=
Exterior angle is equal to sum interior angles of a triangle on the opposite sides .
We have to find the value of x.
We know that law of cosine

Substitute the values in the given formula we get


Hence, the length of wire needed=171 foot