Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find the area of 7 and 5
![**Calculate the area of the following shape:**
The image shows a right triangle with a base of 7 inches and a height of 5 inches.
To find the area of the triangle, use the formula:
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]
Substitute the given values:
\[
\text{Area} = \frac{1}{2} \times 7 \, \text{in} \times 5 \, \text{in}
\]
Calculate the area:
\[
\text{Area} = \frac{1}{2} \times 35 \, \text{in}^2 = 17.5 \, \text{in}^2
\]
The area of the triangle is 17.5 square inches.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe0d22945-01c0-42d5-bea4-ab4b364e73a2%2F03fc6417-1616-42a6-99b7-40a7502b4975%2F5hfmnb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Calculate the area of the following shape:**
The image shows a right triangle with a base of 7 inches and a height of 5 inches.
To find the area of the triangle, use the formula:
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]
Substitute the given values:
\[
\text{Area} = \frac{1}{2} \times 7 \, \text{in} \times 5 \, \text{in}
\]
Calculate the area:
\[
\text{Area} = \frac{1}{2} \times 35 \, \text{in}^2 = 17.5 \, \text{in}^2
\]
The area of the triangle is 17.5 square inches.
![The image contains the following text and diagram:
### Text:
"Calculate the area of the following shape:"
### Diagram:
A right triangle is depicted with the following dimensions:
- The height of the triangle is labeled as 5 inches.
- The base of the triangle is labeled as 7 inches.
### Explanation:
To calculate the area of a triangle, use the formula:
\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]
In this scenario, the base of the triangle is 7 inches and the height is 5 inches. Applying these values to the formula gives:
\[ \text{Area} = \frac{1}{2} \times 7 \, \text{in} \times 5 \, \text{in} \]
\[ \text{Area} = \frac{1}{2} \times 35 \, \text{sq in} \]
\[ \text{Area} = 17.5 \, \text{sq in} \]
Therefore, the area of the triangle is 17.5 square inches.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe0d22945-01c0-42d5-bea4-ab4b364e73a2%2F03fc6417-1616-42a6-99b7-40a7502b4975%2Ff70j6t_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image contains the following text and diagram:
### Text:
"Calculate the area of the following shape:"
### Diagram:
A right triangle is depicted with the following dimensions:
- The height of the triangle is labeled as 5 inches.
- The base of the triangle is labeled as 7 inches.
### Explanation:
To calculate the area of a triangle, use the formula:
\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]
In this scenario, the base of the triangle is 7 inches and the height is 5 inches. Applying these values to the formula gives:
\[ \text{Area} = \frac{1}{2} \times 7 \, \text{in} \times 5 \, \text{in} \]
\[ \text{Area} = \frac{1}{2} \times 35 \, \text{sq in} \]
\[ \text{Area} = 17.5 \, \text{sq in} \]
Therefore, the area of the triangle is 17.5 square inches.
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