Answer:
Need to see whole picture of the paper
Step-by-step explanation:
the relation between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than
7.45 centimeters
10.75 centimeters
14.33 centimeters
22.50 centimeters
Answer:
The height of the cone is 10.75 cm.
Step-by-step explanation:
Given the volume of cone = 45 cubic cm
Radius of the cone = 2 cm
Height of the cone = ?
The volume formula of cone is =
=>
=>
h = 10.748 ≈ 10.75 cm
So, the height of the cone is 10.75 cm.
Answer:
Hi
MODE
Step-by-step explanation:
The most frequent attribute is the MODE
5 inches
9 inches
10 inches
The length of the side of the original cube in the given scenario is 5 inches.
A cube is a three-dimensional figure with equal sides.
Given that
The length of the edge of a cube = x
Also, one of the sides is increased by 4 inches, and another side is doubled,
so, now the new dimensions are x, x+4, 2x, and the shape is a rectangular prism.
The area of the rectangular prism = 450 sq. inches
base × height × length = 450 sq. inches
x × (x + 4) × 2x = 450
2x³ + 8x² = 450
2x³ + 8x² - 450 = 0
x³ + 4x² - 225 = 0
Substitute x=5 to see that it is a root of the equation,
5³ + 4(5)² - 225 = 125 + 100 - 225 = 0
So, x - 5 is a factor of the equation,
Now,
x³ + 4x² - 225 = (x−5)(x² + 9x + 45) = 0
The roots of the quadratic equation are imaginary as
D = 9² - 4 × 1 × 45 = 81 - 180 = -99
The discriminant is negative, therefore, the roots are not real.
So, the length of the side of the original cube is 5 inches.
Learn more about Cubes here:
#SPJ4