the problem says "one side of the triangular garden is 42.0 ft. the angles on each end of this side measure 66 degrees and 82 degrees. find length of fence needed to enclose the garden." please help meeee
Answers
When using the law of sines, you want to label the sides of your triangle a, b, c, and the angles of your triangle A, B, C.
First, label the triangle. To make this easy, I'll tell you what I labeled them so you can follow along.
The side labeled 42 feet is side "a", and the angle opposite this side is angle A
66 degrees is angle B, and the side opposite this angle is side b
82 degrees is angle C, and the side opposite this angle is side c.
We know two angles of the triangle, 66 and 82. We also know that a triangle is made up of 180 degrees. To find the angle A, we can subtract angle B and angle C from 180.
A = 180 - 66 - 82 = 32
a = 42 b = ? c = ?
A = 32 B = 66 C = 82
Now we can start using the Law of Sines to solve for sides b and c.
the law of sines says:
sin(A) = sin(B) = sin(C)
a b c
we know a, A, and B, and we are looking for "b" so we can substitute those values into sin(A)/a = sin(B)/ b
sin(32) = sin(66)
42 b
cross multiply:
b sin(32) = 42sin(66)
divide both sides by sin(32)
b = 42sin(66) ≈ 72.4
sin(32)
We can do the same thing for side c.
sin(A) = sin(C)
a c
sin(32) = sin(82)
42 c
c sin(32) = 42sin(82)
c = 42sin(82) ≈ 78.5
sin(32)
The 3 sides are 42.0 feet, 72.4 feet, and 78.5 feet. To find the length of the fence needed to enclose the garden, simply add the three sides up.
42.0 + 72.4 + 78.5 = 192.9 feet
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Answer:
You can't be sure without an image.
Step-by-step explanation:
If one moves left or right, that's a horizontal translation.
If one moves up or down, it's a vertical translation.
A dialation is when the image gets smaller or bigger.
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So 49 days is less than 52 days.
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and the regions could be any regions as long as it is a continuous region
hope this helps
How would I start this problem?
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2a - b/b
Then, get to work:
-- Wherever you see 'a', put in 4 .
-- Wherever you see 'b', put in -3 .
2(4) - (-3/-3)
Can you handle that ?
Hint:
The thing on the right is a fraction with the same number on top and bottom.
Any fraction like that is always equal to ' 1 '.
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Answer:
the proportion is 0.2779, that is a 27.79%
Step-by-step explanation:
The article reported that 1880 children ate fast food from a sample of 6765 children. We can use the rule of three to find the proportion of children that ate fast food
- from 6765 we have 1880 children that ate fast food
- from 100 children we have
children that ate fast food
that gives us that a 27.79% of the children ate fast food on a typical day. We can obtain the proportion by dividing the percentage by 100, that gives us a proportion of 27.79/100 = 0.2779.
I hope this helped you!