A boy walks 6 km from a point P to a point Q on a bearing of 065. He then walks to a point R at a distance of 13 km on a bearing
1 answer:
9514 1404 393
Answer:
- see below for a sketch
- 12 km
Step-by-step explanation:
The distance can be calculated using the Law of Cosines. The angle internal to the triangle at Q is (180°-(146° -65°)) = 99°. Then the distance PR can be found from ...
PR² = PQ² +QR² -2·PQ·QR·cos(∠PQR)
PR² = 6² +10² -2·6·10·cos(99°) ≈ 154.77
PR ≈ √154.77 ≈ 12.44 . . . . km
The distance PR is about 12 km.
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Answer:
X = 0 4 8 12
Y = 10 7 4 1
Step-by-step explanation:
Given:
Cost of one T shirt = $15
Cost of one sweater = $ 20
To find :
The graph that will represent both number of T-shirts and sweatshirts = ?
Solution:
Let the number of t-shirts be x
The number of sweaters be y
They want to rise a found of $200
Then the equation to represent this situation is
15x + 20y = 200
By trial and error method
15(12) + 20(1) = 200
15(8) + 20(4) = 200
15(0) + 20(10) = 200
15(4) + 20(7) = 200
