If by "long leg lengths" you mean the hypotenuse then the area is 116 sq. units. If you mean the bases of the triangles then the area is 170 sq. units.
If the length of 12 is the hypotenuse, we first must find the base of the triangles using the Pythagorean theorem:
10² + b² = 12²
100 + b² = 144
b² = 44
b = √44 = 6.6
This means we have two triangles and a rectangle. The area of the rectangle is 5(10) = 50 sq. units. The area of each triangle is 1/2(6.6)(10) = 33. Adding all 3 together we have:
50+33+33 = 116 sq. units.
If the 12 is the base, then we have the rectangle with the area of 5(10) = 50 and two triangles each with an area of 1/2(12)(10) = 60:
50+60+60 = 170 sq. units.
Answer:
g(-2)=3
g(0)=-5
g(3)=2
Step-by-step explanation:
g(-2)= -2(-2)+ 3(-2) - 5
4-6-5
2-5
g(-2)=3
g(0)= -2(0) + 3 (0)-5
0+0-5
g(0)=-5
g(3)= -2(3) + 3(3)-5
-6+9-5
3-5
g(3)=2
Answer:
Step-by-step explanation:
Givens
- The top soil weighs 40 pounds per bag.
- The mulch weighs 20 pounds per bag.
- The cart can only carry up to 480 pounds.
Notice that the restriction is a maximum of 480 pounds, that means the inequality must include the sign .
Now, let's call the top soil and the mulch, the inequality that represents this problem, would be
What’s the rest of the question