Answer:
The selling price of the agenda book is $6.38 to the nearest cent.
Step-by-step explanation:
Assume that the cost price of the agenda book is 100%
∵ The discount is 15%
∵ The selling price = the cost price - discount amount
∴ The selling price = 100% - 15%
→ That means the selling price is 85% of the cost price
∵ The cost price = $7.50
∴ The selling price = 85% × 7.50
→ Change 85% to a number by divide it by 100
∴ The selling price = × 7.50
∴ The selling price = 6.375
→ Round it to the nearest cent (2 d.p)
∴ The selling price = $6.38
∴ The selling price of the agenda book is $6.38 to the nearest cent.
(B) Opposite sides are equal (otherwise, trapezoid, etc)
Answers:
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Explanation:
Recall that tangent is the ratio of opposite over adjacent
tan(angle) = opposite/adjacent
So for reference angle G, we say,
tan(G) = JH/GJ = 2/1 = 2
We'll treat tan(H) in a similar fashion, but the opposite and adjacent sides swap roles. That means we'll apply the reciprocal to the result above to get 1/2 for tan(H)
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So we have this interesting property where
tan(G)*tan(H) = 2*(1/2) = 1
In general,
tan(A)*tan(B) = 1 if and only if A+B = 90 degrees
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Side note: The side sqrt(5) isn't used at all.
Answer:
2 x values
x = 5.85410196
…
x = −
0.85410196
…
Step-by-step explanation: