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
Answer:
168
Step-by-step explanation:
So central angle is twice of 84 degree.
And twice of 84 is 168 degree.
So the central angle is of measurement 168 degree.
Answer:
The Triangle Is A Right Triangle Because 5^2 + 12^2 = 13^2.
Step-by-step explanation:
5^2 = 25. 12^2 = 144. With the Pythagorean theorem, (a^2 + b^2 = c^2), 5 is a, 12 is b, and 13 is c.
25 + 144 = 169.
13 ^ 2 = 169.
Since a^2 + b^2 = c^2 is true, the triangle is a right triangle.
Answer:
I am not trying to be funny but you blow on them or if you have magical powers just move them with your eyes (the secound I was trying to be funny)
Step-by-step explanation:
Answer:
10.5
Step-by-step explanation:
Given the data:
Age. l frequency
1-5. l 3
6-10. l 3
11-15. l 3
16-20. I 3
Mean :
Σfx / Σf
Obtain the midpoint (x) = (upper + lower boundary) / 2
Hence, midpoint x :
Age. l frequency | x
1-5. l 3 | 3
6-10. l 3 | 8
11-15. l 3 | 13
16-20. I 3 | 18
Σfx = (3*3) + (3*8) + (3*13) + (3*18) = 126
Σf = (3 + 3 + 3 + 3) = 12
Mean = Σfx / Σf = 126 / 12 = 10.5