The answer is B.)
1. Find the area of the rectangle = L x W
- 5 x 6 = 30
2. Find the area of the triangle = bh/2
- 4*3/2 = 6
3. Add the areas of the figures.
- 30 + 6 = 36 cm^2
Option B is correct
because in a triangle the sum of the 2 sides must be greater than third side but in option B
12cm = 7cm+5cm
12cm = 12cm
hence it cannot form a triangle.
Answer:
28. (H) 24 ft
30. (F) 
Step-by-step explanation:
28. A right triangle can be formed, where the length of the cable represents the hypotenuse, and the ground represents the base of the triangle. From the pythagorean theorem,

where a and b are legs, and c is the hypotenuse of a right triangle.
So

30. The probability of drawing a red 1 is
(a red star 1 or a red heart 1), the probability of drawing a black 3 is
(a black triangle 3 or a black circle 3), and the probability of drawing a six of hearts is
(since there is only one six of hearts in the entire deck). Since each of the cards is mutually exclusive from one another, the probability of drawing any of them is simply all of their probabilities added together. That is,

Answer:
Dimension of room = 18 foot x 18 foot
Step-by-step explanation:
Let the square room is of side a foot,
The cost of re-finishing the hardwood floors is $2.25 per square foot and the cost of purchasing and installing the new baseboards $14.5 per linear foot
Total cost is $1773.
Cost for re-finishing the hardwood floors = Area x 2.25
Area = a²
Cost for re-finishing the hardwood floors = 2.25 a²
Cost of purchasing and installing the new baseboards = Perimeter x 14.5
Perimeter = 4a
Cost of purchasing and installing the new baseboards = 4a x 14.5 = 58 a
Total cost = Cost for re-finishing the hardwood floors + Cost of purchasing and installing the new baseboards
1773 = 2.25 a² + 58a
2.25 a² + 58a - 1773 = 0
a = 18 or a = -43.77(not possible)
Dimension of room = 18 foot x 18 foot
It is the cube root of 4.