<u>Answer:
</u>
The volume of pyramid with dimensions 4cm , 4cm by 12cm is 
<u>Solution:
</u>
Volume of a pyramid can be found out by using the below formula,

where,
v is the volume of pyramid
l is the length of pyramid
w is the width of pyramid
h is the height of pyramid
from question, given that l = 4 ; w = 4; h = 12
hence the volume of pyramid for the given dimensions is


So the volume of pyramid is 
Answer:
17148.59 in^3
Step-by-step explanation:
This volume is calculated as follows: V = (4/3)(3.14)(16 in)^3 = 17148.95 in^3
Answer:
1 false
2 true
3 true
4 false
5 true
Step-by-step explanation:
f(a) = (2a - 7 + a^2) and g(a) = (5 – a).
1 false f(a) is a second degree polynomial and g(a) is a first degree polynomial
When added together, they will be a second degree polynomial
2. true When we add and subtract polynomials, we still get a polynomial, so it is closed under addition and subtraction
3. true f(a) + g(a) = (2a - 7 + a^2) + (5 – a)
Combining like terms = a^2 +a -2
4. false f(a) - g(a) = (2a - 7 + a^2) - (5 – a)
Distributing the minus sign (2a - 7 + a^2) - 5 + a
Combining like terms a^2 +3a -12
5. true f(a)* g(a) = (2a - 7 + a^2) (5 – a).
Distribute
(2a - 7 + a^2) (5) – (2a - 7 + a^2) (a)
10a -35a +5a^2 -2a^2 -7a +a^3
Combining like term
-a^3 + 3 a^2 + 17 a - 35
Answer:
the period of this graph is 2
Step-by-step explanation:
The period is the length of the section that repeats. So for this graph, we need to calculate the distance between 2 peaks or 2 troughs of the curve.
Let's look at the peaks (maximums).
One is at x = 0 and the next is at x = 2
2
- 0 = 2
Therefore, the period of this graph is 2
B is because any form of y=Mx +c is proportional