TOP QUESTIONS AND ANSWERS FOR YOU

Maths

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8th

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February 28, 2022

2. The diameter of a garden roller is 1.4 m and it 2 m long. Find the maximum area covered by it 50

David Miller

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Student

Solution:

Maths

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8th

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February 28, 2022

1. In a building, there are 24 cylindrical pillars. For each pillar, radius is 28 m and height is 4 m. Find the total cost of painting the curved surface area of the pillars at the rate of ₹ 8 per m2.

David Miller

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Student

Solution:

Maths

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8th

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February 24, 2022

4. **Write 3.61492 x 106 in usual form.**

David Miller

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Student

Maths

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8th

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February 24, 2022

3. **Express 0.00000000837 in standard form.**

David Miller

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Student

Maths

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8th

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February 24, 2022

2. ** Simplify [25 x t-4]/[5-3 x 10 x t-8]**

David Miller

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Student

Maths

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8th

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February 24, 2022

**1.If a new-born bear weighs 4 kg, calculate how many kilograms a five-year-old bear weigh if its weight increases by the power of 2 in 5 years?**

David Miller

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Student

Maths

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9th

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February 24, 2022

5. **In Fig. 6.40, ∠X = 62°, ∠XYZ = 54°. If YO and ZO are the bisectors of ∠XYZ and ∠XZY respectively of Δ XYZ, find ∠OZY and ∠YOZ.**

Joslin Smith

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Student

As we know, the sum of the interior angles of the triangle is 180°.

So, ?X +?XYZ + ?XZY = 180°

substituting the values as given in the question we get,

62° + 54° + ?XZY = 180°

Or, ?XZY = 64°

Now, As we know, ZO is the bisector so,

?OZY = ½ ?XZY

? ?OZY = 32°

Similarly, YO is a bisector and so,

?OYZ = ½ ?XYZ

Or, ?OYZ = 27° (As ?XYZ = 54°)

Now, as the sum of the interior angles of the triangle,

?OZY +?OYZ + ?O = 180°

Substituting their respective values we get,

?O = 180° – 32° – 27°

Or, ?O = 121°

Maths

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9th

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February 24, 2022

4. **In the Figure, if PQ || ST, ∠PQR = 110° and ∠RST = 130°, find ∠QRS.**

Joslin Smith

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Student

Maths

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9th

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February 24, 2022

3. **In the Figure, if AB || CD, EF ⊥ CD and ∠GED = 126°, find ∠AGE, ∠GEF and ∠FGE**.

Joslin Smith

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Student

Solution:

Since AB || CD GE is a transversal.

It is given that ?GED = 126°

So, ?GED = ?AGE = 126° (alternate interior angles)

Also,

?GED = ?GEF + ?FED

As

EF ? CD, ?FED = 90°

? ?GED = ?GEF + 90°

Or, ?GEF = 126° – 90° = 36°

Again, ?FGE + ?GED = 180° (Transversal)

Substituting the value of ?GED = 126° we get,

?FGE = 54°

So,

?AGE = 126°

?GEF = 36° and

?FGE = 54°

Maths

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9th

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February 24, 2022

2. **In the Figure, POQ is a line. Ray OR is perpendicular to line PQ. OS is another ray lying between rays OP and OR. Prove that ∠ROS = 1/2(∠QOS – ∠POS).**

Joslin Smith

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Student