3/11 *2 = 6/22
3/11 *3= 9/33
3/11 *4 = 12/44
Answer:
Monique made an error when writing the factored expression.
Correct factored
expression=4x(1+4y)
Step-by-step explanation:
factoring the expression 4 x + 16 x y.
Factors of 4x: 1, 2, 4, x
Factors of 16xy: 1, 2, 4, 8, 16, x, y
GCF: 4x
Factored expression: 4 x (0 + 4 y)
Monique made an error when writing the factored expression.
The correct factored expression should be:
4x+16xy
=4x(1+4y)
Contrary to 4x(0+4y)
Correct factored
expression=4x(1+4y)
Answer:
i need more info. that part dont help. if you took pic of the sentence they gv you that would be easier to work with.
Step-by-step explanation:
answers
1) 70
2) 3,840
3) 24
4) 72
<u>Explanation</u>
Q1
The surface area of a cone is given by;
S.A = 2Πrl + Πr²
Where r is the radius of the base and l is the lateral height.
Πr² = area of the base = 20 in²
2Πrl = Area of the lateral surface
= 2.5 × 20
= 50
Area of the cone = 50 + 20
= 70 in²
Q2
The sides of the Pythagorean triangle with legs of 12 and 16.
The 3rd side will be;
c = √(12² + 16²)
= √400 = 20
Volume = 12 × 16 × 20
= 3,840
Q3
The volume of a cone is given by;
volume = 1/3 Π r² h
This shows that the volume of a cone is a third the volume of the cylinder.
∴ Volume of the cylinder = 12 × 3
= 24 ft³
Q4
The volume of any regular figure is;
Volume = base area × height
When the dimensions area usually 3. Let these dimensions be x, y and z.
∴ volume = x × y × z = 9
Doubling the dimensions;
Volume = 2x × 2y × 2z = 2 × 2 × 2 × 9
= 8 × xyz = 8 × 9
= 72 ft²