Answer:
.
Step-by-step explanation:
We know that if two corresponding sides of two triangles are equal, then third sides of the triangles depend on angle between equal sides.
Angle opposite to larger side is larger.
Since, 14 < 15, therefore
...(1)
We know that, angle can not not negative.
...(2)
From (1) and (2), we get
Therefore, the range of values of x is .
Answer:
5x³ - 2x²
Step-by-step explanation:
Step 1: Write out expression
4x³ - x² + 4x + x³ - x² - 4x
Step 2: Combine like terms (x³)
5x³ - x² + 4x - x² - 4x
Step 3: Combine like terms (x²)
5x³ - 2x² + 4x - 4x
Step 4: Combine like terms (x)
5x³ - 2x²
Answer:
22
Step-by-step explanation:
The volume of a cube is given as:
Cube volume = length × length × length
Since the edges of the cube measure 3 inches, this means that the length of the cube is 3 inches, therefore:
Cube volume = 3 inches × 3 inches × 3 inches = 27 in³
The pine tree is the shape of a cone with diameter of 1.5 inches and a height (h) of 2 inches. The radius (r) = diameter / 2 = 1.5 inches / 2 = 0.75 inches.
The volume of the cone = πr²(h/3) = π × (0.75)² × (2/3) = 1.178 in³
The number of pine trees that can be made = Volume of cube / Volume of cone = 27 / 1.178 = 22.9
The number of pine trees = 22
