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Chapter 2: Problem 66

Will help you prepare for the material covered in the next section. Use \(A=\frac{1}{2} b h\) to find \(h\) if \(A=30\) and \(b=12\)

Short Answer

Expert verified
The height of the triangle is 5 units.

Step by step solution

01

Identify the given values

The problem provides the values of the area \(A = 30\) and the base \(b = 12\).
02

Substitute the values into the formula

Substitute the area (\(A = 30\)) and the base (\(b = 12\)) into the formula \(A = \frac{1}{2} b h\), resulting in equation \(30 = \frac{1}{2} \times 12 \times h\).
03

Solve for \(h\)

To isolate \(h\), first simplify the right hand side of the equation by multiplying \(\frac{1}{2}\) by 12, to get \(30 = 6h\). Then, divide both sides of equation by 6 to solve for \(h\), resulting in \(h = \frac{30}{6}\).

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Most popular questions from this chapter

Simplify: \(3[7 x-2(5 x-1)] .\) (Section \(1.8,\) Example 11 )

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. The statement "the sum of \(x\) and \(6 \%\) of \(x\) is at least 80 " is modeled by \(x+0.06 x \geq 80\)

Simplify: \(\left[3\left(12 \div 2^{2}-3\right)^{2}\right]^{2}\) (Section \(1.8,\) Example 8 )

Let \(x\) represent the number. Use the given conditions to write an equation. Solve the equation and find the number. Nine times a number is 30 more than three times that number. Find the number.

Describe ways in which solving a linear inequality is different from solving a linear equation.
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