Explanation

when sin θ < 0 and cos θ < 0, the terminal arm of the angle θ lies in the third quadrant of the Cartesian plane.

Explanation

To find the volume of the book, we need to multiply the length, width, and thickness:

Volume = Length × Width × Thickness

= 19 cm × 12 cm × 3 cm

= 684 cm³

So, the volume of the book is 684 cm³!

Explanation

To find the area of a parallelogram, we multiply the length of the base by the length of the altitude.

Given:

Base = 10cm

Altitude = 7cm

To find the area, we can use the formula:

Area = Base × Altitude

Substituting the given values into the formula:

Area = 10cm × 7cm

Calculating the product:

Area = 70cm²

Explanation

Since the area of the rectangle is 50 cm² and the length is 10 cm, we can use the formula:

Area = Length × Width

Substitute the values:

50 = 10 × Width

Divide both sides by 10:

Width = 50/10

Width = 5

So, the width is 5 cm.

Explanation

We have: l = 20 ft

and lb = 680 sq. ft.

So, b = 34 ft

Length of fencing = (l + 2b)

= (20 + 68) ft

= 88 ft

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ND10-12-2022

Explanation

At 12:00, both the minute hand and the hour hand point to 12.

So the angle between them is 0°.

Explanation

Explanation

Let's denote the length of the rectangle as L and the breadth as B.

According to the problem, the length exceeds the breadth by 4m, which can be expressed as L = B + 4.

The perimeter of a rectangle is calculated by adding the lengths of all its sides.

P = 2L + 2B.

We are given that the perimeter of the rectangle is 84m

2L + 2B = 84

Substituting L = B + 4 into the equation, we have:

2(B + 4) + 2B = 84

Simplifying the equation:

2B + 8 + 2B = 84

4B + 8 = 84

4B = 76

B = 19

Now, substitute the value of B back into L = B + 4:

L = 19 + 4

L = 23

Therefore, the length of the rectangle is 23m and the breadth is 19m.

Explanation

We are given:

• $A=B\cdot C$

• Dimensions:

  • [A]=L/M​

  • [C]=L/T​

We want to find $[B]$.

Step 1: Solve for
$\mathrm{<br>}$B:

B=A/C​

Step 2: Plug in dimensions:

$$<br>$$[C]​

=L​/M/L/T

​​=L​/M​⋅T/L​=T/M​

Explanation

Straight line joining any two points of the circumference of a circle is called Chord.

A chord is a line segment that joins any two points on the circumference of the circle.

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