A² + b² = c² ⇒ right triangle
a² + b² < c² ⇒ obtuse triangle
a² + b² > c² ⇒ acute triangle
a = 12 ft ; b = 15 ft ; c = 20 ft
12² + 15² = < > 20²
144 + 225 = < > 400
369 < 400 OBTUSE TRIANGLE
√369 = 19.21
20 - 19.21 = 0.79
<span>It is an obtuse triangle. About 0.8 foot needs to be removed from the 20-foot board to create a right triangle.</span>
ANSWER

EXPLANATION
The room represents a rectangular prism or a cuboid.
The dimensions of the room are 30 feet by 16 feet by 8 feet(height).
The volume of a rectangular prism is

Substitute the given values

Simplify:

Hence the cubic feet of air in the room is 3,840ft³.
Answer: 7 7/8 cups of flour
Step-by-step explanation:
Since John is making 3 1/2 batches of cookies and each batch takes 2 1/4 cups of flour.
The amount of flours that John will need for the cookies will be gotten by multiply the batches of cookies made by the number of flours of cups used per batch and this will be:
= 3 1/2 × 2 1/4
= 7/2 × 9/4
= 63/8
= 7 7/8 cups of flour
Answer:
450
Step-by-step explanation:
513÷114=4.5 then move decimal 2 places to the right
513÷450= 1.14 then move decimal 2 places to the right
Answer: 12
Step-by-step explanation:
42
42
42