Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.
Sagot :
To compare the slopes of the two pieces of climbing equipment, we first need to calculate the slopes for each.
1. Calculate the slope of the playground equipment:
The slope is calculated by dividing the vertical height by the horizontal distance.
- Vertical height of playground equipment [tex]\( = 6 \)[/tex] feet
- Horizontal distance of playground equipment [tex]\( = 4 \)[/tex] feet
The slope is:
[tex]\[ \text{slope}_{\text{playground}} = \frac{6}{4} = 1.5 \][/tex]
2. Calculate the slope of the gym equipment:
Similarly, the slope for the gym equipment is calculated by dividing the vertical height by the horizontal distance.
- Vertical height of gym equipment [tex]\( = 10 \)[/tex] feet
- Horizontal distance of gym equipment [tex]\( = 6 \)[/tex] feet
The slope is:
[tex]\[ \text{slope}_{\text{gym}} = \frac{10}{6} \approx 1.6667 \][/tex]
3. Compare the slopes:
Now we compare the calculated slopes:
- Slope of the playground equipment [tex]\( = 1.5 \)[/tex]
- Slope of the gym equipment [tex]\( \approx 1.6667 \)[/tex]
Since:
[tex]\[ 1.6667 > 1.5 \][/tex]
The slope of the gym equipment is greater than the slope of the playground equipment.
Therefore, the correct statement that best compares the slopes is:
[tex]\[ \text{Because } \frac{5}{3} > \frac{3}{2}, \text{ the slope of the climbing equipment at the gym is greater.} \][/tex]
1. Calculate the slope of the playground equipment:
The slope is calculated by dividing the vertical height by the horizontal distance.
- Vertical height of playground equipment [tex]\( = 6 \)[/tex] feet
- Horizontal distance of playground equipment [tex]\( = 4 \)[/tex] feet
The slope is:
[tex]\[ \text{slope}_{\text{playground}} = \frac{6}{4} = 1.5 \][/tex]
2. Calculate the slope of the gym equipment:
Similarly, the slope for the gym equipment is calculated by dividing the vertical height by the horizontal distance.
- Vertical height of gym equipment [tex]\( = 10 \)[/tex] feet
- Horizontal distance of gym equipment [tex]\( = 6 \)[/tex] feet
The slope is:
[tex]\[ \text{slope}_{\text{gym}} = \frac{10}{6} \approx 1.6667 \][/tex]
3. Compare the slopes:
Now we compare the calculated slopes:
- Slope of the playground equipment [tex]\( = 1.5 \)[/tex]
- Slope of the gym equipment [tex]\( \approx 1.6667 \)[/tex]
Since:
[tex]\[ 1.6667 > 1.5 \][/tex]
The slope of the gym equipment is greater than the slope of the playground equipment.
Therefore, the correct statement that best compares the slopes is:
[tex]\[ \text{Because } \frac{5}{3} > \frac{3}{2}, \text{ the slope of the climbing equipment at the gym is greater.} \][/tex]
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.