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SSSSS [86.1K]
2 years ago
14

What is the first step in solving the equation 4.2y-5.2=18.5

Mathematics
1 answer:
Reil [10]2 years ago
4 0
Add 5.2 then divide
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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
Dmitry [639]

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

∠BCO = 45°

∠BOC = 45°

∠PCO = 45°

∠POC = 45°

∠DOP = 22.5°

∠PDO = 67.5°

∠ADO = 22.5°

∠AOD = 67.5°

Step-by-step explanation:

Given:

AB = CD = 297 mm

AD = BC = 210 mm

BCPO is a square

∴ BC = OP = CP = OB = 210mm

Solving for OC

OCB is a right anlgled triangle

using Pythagoras theorem

(Hypotenuse)² = Sum of square of the other two sides

(OC)² = (OB)² + (BC)²

(OC)² = 210² + 210²

(OC)² = 44100 + 44100

OC = √(88200

OC = 296.98 = 297

OC = 297mm

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

∠PDO + ∠DOP + 90 = 180

∠PDO + 22.5 + 90 = 180

∠PDO = 180 - 90 - 22.5

∠PDO = 67.5°

∠ADO = 22.5° (alternate to ∠DOP)

∠AOD = 67.5° (Alternate to ∠PDO)

3 0
3 years ago
What Number Is 10,000 Less Than 337,676
stepladder [879]
Look at the ten thousands place in 337,676.  It is 3. Take one away from it to get the answer.  It is 327,676.
5 0
3 years ago
Read 2 more answers
Solving equations with one variable
kupik [55]

Answer:

1) b= -20

Step-by-step explanation:

You bring the variable you want to find to one side by either bringing over the second term to the other side of the equation and change its sign or if it's a fraction you multiply both sides to remove the denominator and then solve

5 0
2 years ago
The diameter of a sphere us 4 centimeters. which represents the volume of the sphere
Veronika [31]
Greetings and Happy Holidays!

The Formula for the Volume of a Sphere is: V=\frac{4}{3}\pi r^3

Input 
the value of the radius (\frac{d}{2}):
V=\frac{4}{3}\pi (2)^3

Solve using the Order of Operations:
V=\frac{4}{3}\pi (8)

V=\frac{4}{3}\pi \frac{8}{1}

V=\frac{32}{3}\pi

The Answer Is:
\boxed{V=33.510322}

I hope this helped!
-Benjamin

5 0
3 years ago
What is the quotient of 4 and 2 over 3Division sign 2 over 3?
Naily [24]

Answer:

<em><u>The answer is 4 </u></em><em><u> </u></em><em><u>because </u></em><em><u>the</u></em><em><u> </u></em><em><u>2</u></em><em><u> </u></em><em><u>over</u></em><em><u> </u></em><em><u>3</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>canceled</u></em><em><u> </u></em><em><u>out</u></em><em><u /></em>

6 0
1 year ago
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