The volume of the rectangular prism is 1 
, If the rectangular prism have a length of 2 inches, a width of 1 inch, and a height of 1/2 inch.
Step-by-step explanation:
The given is,
Let, l - Length of the rectangular prism
w - Width of the rectangular prism
h - Height of the rectangular prism
Step:1
From the given,
l - 2 inches
w - 1 inch
h - 
inch
Step:2
Formula for the volume of a rectangular prism is,
Substitute the values of the w, h and l
= ( 1 × × 2 )
= 1
V = 1
Result:
Thus the volume of the rectangular prism is 1 , for the given rectangular prism have a length of 2 inches, a width of 1 inch, and a height of 1/2 inch.
A) Find KM∠KEM is a right angle hence ΔKEM is a right angled triangle Using Pythogoras' theorem where the square of hypotenuse is equal to the sum of the squares of the adjacent sides we can answer the
KM² = KE² + ME²KM² = 8² + (3√5)² = 64 + 9x5KM = √109KM = 10.44
b)Find LMThe ratio of LM:KN is 3:5 hence if we take the length of one unit as xlength of LM is 3xand the length of KN is 5x ∠K and ∠N are equal making it a isosceles trapezoid. A line from L that cuts KN perpendicularly at D makes KE = DN
KN = LM + 2x 2x = KE + DN2x = 8+8x = 8LM = 3x = 3*8 = 24
c)Find KN Since ∠K and ∠N are equal, when we take the 2 triangles KEM and LDN, they both have the same height ME = LD.
∠K = ∠N Hence KE = DN the distance ED = LMhence KN = KE + ED + DN since ED = LM = 24and KE + DN = 16KN = 16 + 24 = 40
d)Find area KLMNArea of trapezium can be calculated using the formula below Area = 1/2 x perpendicular height between parallel lines x (sum of the parallel sides)substituting values into the general equationArea = 1/2 * ME * (KN+ LM) = 1/2 * 3√5 * (40 + 24) = 1/2 * 3√5 * 64 = 3 x 2.23 * 32 = 214.66 units²
You would pick You would choose 6xy, or 67xy, unless that is with the 1/7,
and this is because the definition of a coefficient is "<span>a numerical or constant quantity placed before and multiplying the variable in an algebraic expression",
so both of these have variables.</span>
Substitute the x-value and see if you get the corresponding y-value. The corresponding y-value an x-value of 3 in this equation should be
Since the coordinate (3,32) does not represent that, it is a false solution
Answer:
3(2x+x²-2)
Step-by-step explanation:
12x+3x²-6-6x
collect like terms
6x+3x²-6
factor the expression
3(2x+x²-2)
