Answer:
y = 2/5x + 4
Step-by-step explanation:
Points on the line:
(0,4) and (5,6)
Slope formula:
m=(y2-y1)/(x2-x1)
m=(6-4)/(5-0)
m= 2/5
y - y1 = m(x - x1)
y - 4 = 2/5(x - 0)
y - 4 = 2/5x
y = 2/5x + 4
Answer:
Step-by-step explanation:
hypotenuse (h) = 8
base(b) = 2
cos A = b / h
cos A = 2 / 8
cos A = 1/ 4
A = Cos^-1 ( 1/4)
A = 75.52 °
2 copies of 4 tenths is 8 tenths, or 80.
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Answer:
Step-by-step explanation:
The length PN is the diagonal of a rectangle that is 33 m by 60 m. Its length can be found from the Pythagorean theorem.
PN² = 33² +60² = 4689
PN = √4689 ≈ 68.476 . . . meters
Diagonal NS is the hypotenuse of triangle PNS. Once again, the Pythagorean theorem can be used to find its measure.
NS² = PN² +PS² = 4689 +1600 = 6289
NS = √6289
NS ≈ 79.3 . . . meters
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We have the side adjacent (PN) and the side opposite (PS) to angle PNS, so we can use the tangent function to find the angle:
tan(PNS) = NS/PN = 40/68.476
∠PNS = arctan(40/68.476)
∠PNS ≈ 30.3°