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
1) Draw the coordinate plane
2) Draw the line y = - 2
It is a line parallel to the y axis, two units below the origin
3) The solution (graph of the inequality y < - 2) is all the area below the line y = - 2.
Answer:
27
Step-by-step explanation:
Answer:
416m
Step-by-step explanation:
Volume is found by Length x Width x Height
10.4 x 5 x 8
416
Answer:
11847
Step-by-step explanation:
8900e ^0.026(11)
8900e^0.286
11846.7228518
answer 11847
