Octagon = 8-side polygon
<u>Find area of 1 triangle:</u>
Area of one side triangle = 60 ÷ 8 = 7.5 m²
<u>Given area and length, find height:</u>
Area of each triangle = 7.6 m²
Length of each triangle = 3m
Area = 1/2 x base x height
7.5 = 1/2 x 3 x height
Heigth = 5m
Answer: Slanted Height = 5 m
Answer:
0.9412
Step-by-step explanation:
Ultimately, if you know the length of the arc, and you know the length of the radius, the central angle (in radians) is just how many radii long the arc is. angle=arc lengthradius length=16 feet17 feet≈0.9412.
1. the answer is 24. think of x as the original amount, and y as the new amount. y times 1.5 is x, and y+12 is x. reverse that to figure out y, which is what we need, and you have x/1.5 = y as well as x-12 = y. Use the equal values method and make an equation x/1.5=x-12. solve this equation to get x, which is 36. to figure out the new amount, y, you need to subtract 12, which would help you get 24 as your final answer.
2. once again, create an equation. let's call team 1 x and team 2 y. team one has 1/4th as many as team 2, so that would be x=1/4y. An easier way to write that is 4x=y. after 6 people quit team two, that would be y-6. after the transfer, that would be y-6-12, and x+12 for the teams. they are equal after these, so y-6-12=x+12. solve this equation to get y-18= x+12. if you recall earlier, y was 4 times x, so substitute that into y to get 4x-18=x+12. Solve the equation to get 10 people on team one originally. your final answer is 10 people.
Answer:
It is approximately 3.10 miles from Alfonso's house to the movie theater
Step-by-step explanation:
First, identify what you know:
1) Alfonso drove from his house TO the movie theater, and then BACK to his house.
2) Alfonso's odometer shows him that the ENTIRE trip was 10 miles.
If the entire trip was 10 miles, and he only went to the move theater, AND took the same route back, then we simply divide 10 in half! This will give us the distance from his house the the movie theater, or rather, half of the trip, in kilometers.
10/2 = 5 kilometers.
Now, what is 5 kilometers in miles? Well, one mile is equal to 1.60934 kilometers, and one kilometer is equal to 0.621371 miles. So, simply multiply!
5 km x 0.621371 miles = 3.106855
The approximate distance from his house to the theater is 3.10 miles!
Hope this helps! :)
