Answer:
12πx⁴, 15x⁷, 16x⁹
Step-by-step explanation:
Volume of a cylinder: πr²h
Volume of a rectangular prism: whl
Plugging in variables for the volume of a cylinder, we get: 3x²·(2x)²·π
3x²·(2x)² = 3·2·2·x·x·x·x
= 12·x⁴
=12x⁴
Now, we just multiply that by π.
12x⁴·π = 12x⁴π
A monomial is a 1-term polynomial, so 12x⁴π is a monomial.
Plugging in variables for the volume of a rectangular prism, we get: 5x³·3x²·x²
5x³·3x² = 5·3·x·x·x·x·x
= 15·x⁵
= 15x⁵
Now, we just multiply that by x².
15x⁵·x²
= 15·x·x·x·x·x·x·x
= 15·x⁷
=15x⁷
A monomial is a 1-term polynomial, so 15x⁷ is a monomial.
Same steps for the last shape, another rectangular prism:
2x²·2x³·4x⁴
2x²·2x³
= 2·2·x·x·x·x·x
= 4·x⁵
= 4x⁵
Now, we just multiply that by 4x⁴.
4x⁵·4x⁴
= 4·4·x·x·x·x·x·x·x·x·x·
= 16·x⁹
= 16x⁹
A monomial is a 1-term polynomial, so 16x⁹ is a monomial.
QUESTION :-
what is the value of x to the nearest whole number?
ANSWER :-
SO
the nearest whole number-->
20.7 --> approximately --> 21 units
Amount spent on the last call = $25 - $22.04 = $2.96 = 296 cents
Number of minutes used for last call = 296 / 8 = 37 minutes.
Answer:
B- 3 by 7 by 9 is the only right answer.
Step-by-step explanation:
What is a triangle?
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted.
Basic rule:
A triangle must be tri-sided, means it must have three sides which is only possible if the sum of the smaller two sides is greater than the third side. Otherwise, a triangle is not physically possible.
A- 2+3 = 5 hence not a triangle.
B- 3+7 > 9 hence a triangle.
C- 4+5 < 9.5 hence not a triangle.
D- 5+6 < 12 hence not a triangle.
ANSWER: There are no solutions
