A, B & C form a triangle where ∠ BAC = 90°. AB = 13.5 mm and CA = 3.2 mm. Find the length of BC, giving your answer rounded
to 1 DP.
1 answer:
Answer:
13.9
Step-by-step explanation:
Use Pythagorean Theorem:
Both of the lengths given are the legs,
13.5^2 + 3.2^2 = c^2
182.25 + 10.24 = c^2
192.49 = c^2
13.87 = c
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Answer: y=–2x–5
Step-by-step explanation:
The equation of a straight line:
y=mx+c
m must be the same for the two lines to be parallel.
y=mx+c
y=–2x+8 → m=–2
For a new equation:
x=–1, y=–3, m=–2, c=?
y=mx+c → –3=–2×(–1)+c
–3=2+c
c=–5
So:
y=–2x–5
Use the cosine rule.
c=AB=7
b=AC=8
a=BC=3
a^2=b^2+c^2-2bc(cos(A))
=>
cos(A)=(b^2+c^2-a^2)/(2bc)
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Answer:
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Step-by-step explanation: