The diargram show a right show a right -angle and a parallelogram the area of the parallelogram is times the area of the traiangle and its perpendicular height is h cm find the value of h
Answers
Question:
The diagram shows a right -angle and a parallelogram. The area of the parallelogram is 5 times the area of the triangle. The perpendicular height of the parallelogram is h. Find h
Answer:
[tex]h =12cm[/tex]
Step-by-step explanation:
Given
Triangle
[tex]Base = 9cm[/tex]
[tex]Height = 16cm[/tex]
Parallelogram
[tex]Base = 30cm[/tex]
[tex]Height = h[/tex]
Calculate the area of the triangle
[tex]Area = 0.5 * Base * Height[/tex]
[tex]Area = 0.5 * 9cm * 16cm[/tex]
[tex]Area = 72cm^2[/tex]
When multiplied by 5, gives the area of the parallelogram.
So:
The area of Parallelogram is:
[tex]Area = Base * Height[/tex]
[tex]Area = 30cm * h[/tex]
This gives:
[tex]30cm * h = 72cm^2 * 5[/tex]
Make h the subject
[tex]h = \frac{72cm^2 * 5}{30cm}[/tex]
[tex]h = \frac{72cm^2}{6cm}[/tex]
[tex]h =12cm[/tex]
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3x + 7 = 4x X=
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Answers
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The general steps are ...
look at what you haverewrite the equation so the variable terms are on one side and the constant terms are on the other side of the equal sign; collect termsdivide by the coefficient of the variableIt is generally convenient to put the variable terms on the side of the equation having the largest (most positive) variable term. You do the rearranging by subtracting the terms you don't want. Any operation is performed on both sides of the equation.
__
1) 3x + 7 = 4x
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__
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__
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__
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Answers
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Answers
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Answers
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