Answer:
10 cm
Step-by-step explanation:
From the diagram,
Applying,
lw = 5/2(bh)..................... Equation 1
Where l = length of the rectangle, w = width of the rectangle, b = base of the triangle, h = height of the triangle.
make w the subject of the equation
w = 5(bh)/2l............... Equation 2
From the diagram,
Given: l = 12 cm, b = 6 cm, h = 8 cm
Substitute into equation 2
w = 5(6×8)/(2×12)
w = 10 cm
Hence the width of the rectangle is 10 cm
9514 1404 393
Answer:
BC = 5
Step-by-step explanation:
Of course, this geometry program can tell you the length of BC.
__
If you follow directions, you get a right triangle BCF that has leg lengths 3 and 4. The Pythagorean theorem then tells you the length of hypotenuse BC is ...
BF = 4 -1 = 3
FC = 4 -0 = 4
BC² = BF² +FC²
BC² = 3² +4² = 9 +16 = 25
BC = √25
BC = 5
<u>The overall </u><u>algebraic expression</u><u> will be: </u><u />
Definition of algebraic expression -
An expression obtained by a finite number of the fundamental operations of algebra upon symbols representing numbers.
Five times the sum of a number and eleven, divided by three times the sum of the number and eight.
Let the number be x.
Five times the sum of a number and eleven means 5 multiplied to the sum of x and 11. In expression this will be written as:
5(x + 11)
Three times the sum of the number and eight means 3 multiplied to the sum of x and 8. In expression this will be written as:
3(x + 8)
So, the overall <u>algebraic</u> expression will be:
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