Answer:
The height of the triangle is cm.
Step-by-step explanation:
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The formula for solving the area of a triangle is where
stands for base and
stands for height.
Let's substitute 30 for the area and 10 for the base.
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Now, let's solve to find the height.
Multiply times
Divide both sides by 5.
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Hope this is helpful.
Answer:
Step-by-step explanation:
We want to calculate the right-endpoint approximation (the right Riemann sum) for the function:
On the interval [-1, 1] using five equal rectangles.
Find the width of each rectangle:
List the <em>x-</em>coordinates starting with -1 and ending with 1 with increments of 2/5:
-1, -3/5, -1/5, 1/5, 3/5, 1.
Since we are find the right-hand approximation, we use the five coordinates on the right.
Evaluate the function for each value. This is shown in the table below.
Each area of each rectangle is its area (the <em>y-</em>value) times its width, which is a constant 2/5. Hence, the approximation for the area under the curve of the function <em>f(x)</em> over the interval [-1, 1] using five equal rectangles is:
