Answer:
6.68, 13.37, 14.95
Step-by-step explanation:
One of the legs is twice as long as the other.
b = 2a
The perimeter is 35.
35 = a + b + c
The triangle is a right triangle.
c² = a² + b²
Three equations, three variables. Start by plugging the first equation into the second and solving for c.
35 = a + 2a + c
c = 35 − 3a
Now plug this and the first equation into the Pythagorean theorem:
(35 − 3a)² = a² + (2a)²
1225 − 210a + 9a² = a² + 4a²
1225 − 210a + 4a² = 0
Solve with quadratic formula:
a = [ -(-210) ± √((-210)² − 4(4)(1225)) ] / 2(4)
a = (210 ± √24500) / 8
a ≈ 6.68 or 45.82
Since the perimeter is 35, a = 6.68. Therefore, the other sides are:
b ≈ 13.37
c ≈ 14.95
In calculating
the average score, add the scores of each person and then divide it by the
number of scores present. In this problem, Tony has forty seven points for five
different quizzes. You are required to calculate for the average score of Tony.
The formula is A = T/n, where A is the average score, T is the score, and n is
the number of quizzes.
A = T/n
A = 47/5
<u>A = 9.4</u>
<span>
Therefore, Tony has an average of 9.4 points in five different
quizzes. </span>
Answer:
it's times 4 every time
Step-by-step explanation:
4.5 times 4 is 18 etc
