If you are asking for the area of the rectangle...
Let L = Length
Let W = Width
Let A = Area of rectangle
A = LW
A = ( 2x + 3 ) ( 4x - 1 )
A = 8x^2 - 2x + 12x - 3
A = 8x^2 + 10x - 3
If you are asking for the perimeter of the rectangle...
Let L = Length
Let W = Width
Let P = Perimeter of rectangle
P = 2L + 2W
P = 2 ( 2x + 3 ) + 2 ( 4x - 1 )
P = 4x + 6 + 8x - 2
Expanded form -
P = 12x + 4
Factorised form -
P = 4 ( 3x + 1 )
Hope this helps! :)
Have a lovely day! <3
Answer: B = 18 degrees
C = 48 degrees
Step-by-step explanation:
Complimentary angles are angles whose sum is 90 degrees.
Angle A, angle B, and angle C are complementary angles. This means that
A + B + C = 90- - - - - - - - - - - - -1
The measure of angle C is twice the measure of angle A. If the measure of angle A is 24 degrees, it means that the measure of angle C would be 2 × 24 = 48 degrees.
Substituting A = 24 and C = 48 into equation 1, it becomes
24 + B + 48 = 90
72 + B = 90
B = 90 - 72
B = 18 degrees
Part 1) we know that
Volume of rectangular prism=L*W*H-------> 3*6*4-----> 72 units ³
and
Volume of rectangular prism=Area of the base*H
Area of the base B=L*W------> 3*6----> 18 units²
so
Volume of rectangular prism=18*4-----> 72 units³
the answer Part 1) is the option
C) V=Bh
Part 2) we know that
Volume of rectangular prism=L*W*H-------> 5*2*3-----> 30 units ³
and
Volume of rectangular prism=Area of the base*H
Area of the base B=L*W------> 5*2----> 10 units²
so
Volume of rectangular prism=10*3-----> 30 units³
the answer Part 2) is the option
<span>C) V=Bh
Part 3) </span>we know that
Volume of rectangular prism=B*H
B=area of the base--------> 5*3-----> 15 units ²
H=3 units
Volume of rectangular prism=15*3-----> 45 units³
and
Volume of rectangular prism=L*W*H
Volume of rectangular prism=5*3*3-----> 45 units³
the answer Part 3) is the option
<span>C) V=LWH
Part 4) </span>Part 3) we know that
Volume of rectangular prism=B*H
B=area of the base--------> 5*5-----> 25 units ²
H=7 units
Volume of rectangular prism=25*7-----> 175 units³
and
Volume of rectangular prism=L*W*H
Volume of rectangular prism=5*5*7-----> 175 units³
the answer Part 4) is the option
C) V=LWH
Line CE
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0, not possible for 100 to go in to 3