Amy earns 56 dollars each week working part-time at a book store. She earn one additional dollar for each book that she sells.
1 answer:
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Answer:
a) 5.83 cm
b) 34.45°
Step-by-step explanation:
a) From Pythagoras theorem of right triangles, given right triangle ABC:
AB² + BC² = AC²
Therefore:
AC² = 5² + 3²
AC² = 25 + 9 = 34
AC = √34
AC = 5.83 cm
b) From triangle ACD, AC = 5.83 cm, AD = 4 cm and ∠A = 90°.
From Pythagoras theorem of right triangles, given right triangle ACD:
AD² + AC² = DC²
Therefore:
DC² = 5.83² + 4²
DC² = 34 + 16 = 50
DC = √50
DC = 7.07 cm
Let ∠ACD be x. Therefore using sine rule:
Answer:
from pythogarus theorem:
Answer:
The point does not lie on the line
Step-by-step explanation:
Find the slope of the equation with rise/run
This gets you -1/-1 = 1
The equation will be y = x + 3, given the y intercept at (0, 3)
Plug in the point (2, 6) to see if it works in the equation
6 = 2 +3
6 5
The point does not lie on the line