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mihalych1998 [28]
3 years ago
8

609.9 is 85% of what number

Mathematics
2 answers:
alexandr402 [8]3 years ago
8 0
Uh duh you can be at least smart to use a calculator
castortr0y [4]3 years ago
7 0
Hi

609.9 ⇒ 85%
x ⇒ 100%

85x = 100·(609.9)
85x = 60,990
x = (60,990)/85
x = 717.5294117... ≈ 717.53

85% of 717.53 ⇒ 0.85 × 717.53 = 609.9005 ≈ 609.9

Answer: 717.53
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If ABCD is an A4 sheet and BCPO is the square, prove that △OCD is an isosceles triangle. And find the angles marked as 1 to 8 wi
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Answer:

The diagram for the question is missing, but I found an appropriate diagram fo the question:

Proof:

since OC = CD = 297mm Therefore, Δ OCD is an isoscless triangle

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Step-by-step explanation:

Given:

AB = CD = 297 mm

AD = BC = 210 mm

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∴ BC = OP = CP = OB = 210mm

Solving for OC

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using Pythagoras theorem

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(OC)² = 44100 + 44100

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An isosceless tringle is a triangle that has two equal sides

Therefore for △OCD

CD = OC = 297mm; Hence, △OCD is an isosceless triangle.

The marked angles are not given in the diagram, but I am assuming it is all the angles other than the 90° angles

Since BC = OB = 210mm

∠BCO = ∠BOC

since sum of angles in a triangle = 180°

∠BCO + ∠BOC + 90 = 180

(∠BCO + ∠BOC) = 180 - 90

(∠BCO + ∠BOC) = 90°

since ∠BCO = ∠BOC

∴  ∠BCO = ∠BOC = 90/2 = 45

∴ ∠BCO = 45°

∠BOC = 45°

∠PCO = 45°

∠POC = 45°

For ΔOPD

Tan\ \theta = \frac{opposite}{adjacent}\\ Tan\ (\angle DOP) = \frac{87}{210} \\(\angle DOP) = Tan^-1(0.414)\\(\angle DOP) = 22.5 ^{\circ}

Note that DP = 297 - 210 = 87mm

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∠PDO + 22.5 + 90 = 180

∠PDO = 180 - 90 - 22.5

∠PDO = 67.5°

∠ADO = 22.5° (alternate to ∠DOP)

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