Surface Area of the figure is 1208 square centimeters
a=20
b=13
c=12
d=5
e=8
Top face:
A1=a×e=20×8
ae=160
Bottom face:
A2(a+2d)×e=(20+2×5)×8=(20+10)×8=30×8
(a+2d)e=240
Front face:
Rectangle
a×c=20×12=240
Triangle:
12c×d=12×12×5=6×5=30
A3Rectangle +2 triangles
240+2×30=240+60=300
(a+d)c=300
Slant face:
A4=b×e=13×8=104
be=104
Total surface area
A=A1+A2+2(A3+A4)
A1=160
A2=240
A3=300
A4=104
Thus,
A=160+240+2(300+104)
A=400+2(404)
A=400+808=1208
Surface Area of the figure is 1208 square centimeters
They are algebraic symbols or known as unknown number. There is no true value for them. The value of algebraic symbols are based on equations
ie. 1+x = 2
First, we isolate the x by canceling the +1 FROM BOTH SIDES(Balance method) by -1 ON BOTH SIDES.
1+x-1 = 2-1
So we are left with the x on the left side, and a single number on the right side. Therefore, our calculation is complete.
x = 1
More complex cases would be
2y-3 = 45
First, we need to isolate the algebraic symbol, which is 2y (yx2) by +3 ON BOTH SIDES
2y-3+3 = 45+3
2y = 48
WE ARE NOT DONE! 2y=48 is still an equation. Therefore, to isolate the y, we need to divide BOTH SIDES by 2
2y/2 = 48/2
y = 24
There is no true or absolute or definite value for algebraic symbols like x,y,z,a,c,t,h,d etc. They are used to represent unknown numbers.
Hope this helped!
Answer:
Infinite solutions
Step-by-step explanation:
All solutions are possible.
Answer:
8={8,16,24,32,40}
6={6,12,18,24,33}
so the least common multiple is 24
Answer:
<em>2/3 of the jar was filled with flour</em>
Step-by-step explanation:
The question is incomplete. Here is the complete question.
<em>A jar can hold 3/4 of a pound of flour. Austin empties 1/2 of a pound of flour into the jar. What fraction of the jar is filled? Enter your answer in numerical form.</em>
<em />
Given
<em>Amount a jar can hold a = 3/4 of a pound of flour</em>
<em />
<em>If Austin empties 1/2 of a pound of flour into the jar, then the amount emptied into the jar b = 1/2 pounds</em>
<em />
<em>Fraction of jar filled will be expressed as b/a as shown;</em>
<em>b/a = (1/2)/(3/4)</em>
<em>b/a = 1/2 ÷ 3/4</em>
<em>b/a = 1/2 * 4/3</em>
<em>b/a = 4/6</em>
<em>Simplify to the lowest term</em>
<em>a/b = 2*2/2*3</em>
<em>a/b = 2/3</em>
<em />
<em>Hence 2/3 of the jar was filled with flour</em>
