Answer:
C
Step-by-step explanation:
First, let's work out the two triangles:
Area of triangle: bxh/2
2 x 8/2 = 8
Because there is two triangles multiply 8 by 2 = 16
To work out the area of the central rectangle:
Area of rectangle: l x w
3 x 8 = 24
Add 16+24 = 40 square feet
No, when you substitute it into the first equation for x and y it does not equal 36 this it's not a solution
(-3)-(3)(11)=36
-3-33=36
-36 =/ 36
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
