Answer:
<em>Dimensions : 1 by 1 by 2 feet,</em>
<em>Volume ⇒ 2 ft^3</em>
Step-by-step explanation:
Here, I can only assume that this rectangular prism is assigned to have dimensions 1 foot by 1 foot by 2 feet;
I can tell that these types of boxes have height and width as the same lengths, so given that;
<em>Dimensions : 1 by 1 by 2 feet,</em>
Volume ⇒ 1 * 1 * 2 ( by definition ) ⇒ 2 ft^3
In other words, <em>Volume ⇒ 2 ft^3</em>
Answer: (3x + 11y)^2
Demonstration:
The polynomial is a perfect square trinomial, because:
1) √ [9x^2] = 3x
2) √121y^2] = 11y
3) 66xy = 2 *(3x)(11y)
Then it is factored as a square binomial, being the factored expression:
[ 3x + 11y]^2
Now you can verify working backwar, i.e expanding the parenthesis.
Remember that the expansion of a square binomial is:
- square of the first term => (3x)^2 = 9x^2
- double product of first term times second term =>2 (3x)(11y) = 66xy
- square of the second term => (11y)^2 = 121y^2
=> [3x + 11y]^2 = 9x^2 + 66xy + 121y^2, which is the original polynomial.
PQRS is a parallelogram Given
SR=PQ property of parallelogram
m∠S=m∠Q property of parallelogram
SP=QR property of parallelogram
XP=RY given
SP-XP=QR-RY substitution
SX=QY segment subtraction
ΔSRX is conggruent to ΔQPY SAS theorem (side-angle-side)
XR=YP CPCTC (corresponding parts of congruent triangles are congruent)
Answer:
The volume of the pill is 
Step-by-step explanation:
Find the volume of the pill in cubic millimeters
we know that
The volume of the pill is equal to the volume of the cylinder plus the volume of a sphere (two hemisphere is equal to one sphere)
so
we have


assume

substitute
