Answer:
A) 5.12mm³
Step-by-step explanation:
Step 1
Find the volume of the bigger pyramid
This is a triangular based pyramid.
The formula to use is given as Volume of Pyramid =
1/3 × Area of the triangle × Height
Area of the triangle = 1/2 × 3 mm × 4mm = 6mm²
Volume of the large pyramid = 1/3 × 6mm² × 5mm
= 10mm³
We are given the length of the small pyramid as 4mm
We would be using was is known as scale factor to find the volume of the small pyramid
The scale factor k = (Height of the small pyramid)³/ (Height of the Large pyramid)³
k = 4³/5³
k = Volume of small pyramid/ Volume of large pyramid
Volume of small pyramid = X
Volume of large pyramid = 10mm³
Hence,
4³/5³ = X/10
Cross Multiply
= 4³ × 10 = 5³ × X
X = (4³ × 10)/ 5³
X = 5.12mm³
Answer:
A polynomial with complex coefficients of degree n has n complex roots, counted with multiplicity.
Step-by-step explanation:
We are given a polynomial p(x) in the question with degree n.
The degree n means the n is the highest power of variable in the given polynomial.
The equation:

Fundamental theorem of Algebra
- The Fundamental theorem of Algebra states that a a polynomial of degree n will have n roots of the equation.
This can further be explained as:
- A polynomial with complex coefficients of degree n has n complex roots, counted with multiplicity.
Answer:
A. 20 x 3
Step-by-step explanation:
the amounts of time studied should be the amount studied per day multiplied by the total amount studied in three days, ie 20 minutes per day multiplied by the number of day , which is three days,
this amounts to 60 minutes
Answer:
-3
Step-by-step explanation:
Step 1: Write expression
(-4) + 1
Step 2: Add
-3
Answer:
Your answer will be x=11/2
Step-by-step explanation:
What you want to do first is
Subtract 1 from both sides
2x+1-1=12-1
Simplify
2x=11
Divide both sides by 2

Simplify
