<span>The second is: You need to arrange nine of your. ... The second is: You need to arrange nine ofyour favorite books along a small shelf. Applying the fundamental of counting principle, How many different ways can you arrange the books, assuming that the order of the books makes a difference to you.</span><span>
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Answer:
a. <em>about 187 feet</em>
b. <em>about 19 trees</em>
c. <em>about 228 dollars</em>
What we know:
- 80 ft = hypotenuse
- 35 ft = short side
- x ft = long side
- it is a <em>right</em> triangle
a. Find the perimeter of the field. <em>about 187 feet</em>
<u>solve for the missing side length ('x')</u>:
- 35^2 + x^2 = 80^2
- 1225 + x^2 = 6400
- x^2 = 5175
- x = 15sqrt(23) or approx. 71.92
<u>add all side lengths</u>:
- P = 80 + 35 + 71.92
- P = 115 + 72 (rounded)
- P = 187 ft
b. You are going to plant dogwood seedlings about every ten feet around the field's edge. How many trees do you need? <em>about 19 trees</em>
- divide perimeter by 10 187/10 = 18.7
- round 18.7 trees = about 19 trees
c. If each dogwood seedling sells for $12, how much will the trees cost? <em>about $228</em>
- multiply trees by cost of each $12 x 19 trees = $228
- about $228 for the trees
To be honest I really don’t know sorry for not helping
Hello,
The first step is to see that sides OA, OC, OB are all equal because they are the radii of the circle. Knowing that those sides are equal means that we have isosceles triangles. That gives us that the base angles are the same.
In OAC, we can subtract 118 from 180 to give us 62 degrees for the 2 bases angles. This would make each angle 31 degrees.
In OBC, the base angles are already 31, leaving the other angle 118.
There we have all the angles the same and 2 sides the same.
You could use SAS or ASA to prove that the triangles are congruent.
I hope this helps!
Good luck,
MrEquation
