Explanation

√3, √4, √5 →  3+4=7 =5 Not valid

Explanation

The value of the middle-most observation is called the median of the data.

First, arrange the given numbers in ascending order

1, 3, 6, 8, 9  

n= 5 which is an odd number

Where n is the number of the given number.

median = value of 1/2 (n+1)^th observation

= 1/2 (5+1)

= 1/2 (6)

= 6/2

= 3

**

ND22-1-2023

Explanation

Solution

Square formula=    Area = s × s = s2

7^2 = 49

49x350 = 17,150

Explanation

Step 1: Convert to Inches

Since 1 foot = 12 inches, we first convert both measurements to inches:

• 9 feet 6 inches = $9 times 12 + 6 = 108 + 6 = 114$ inches
• 7 feet 9 inches = $7\times 12+9=84+9=93$ inches

Step 2: Subtract

$$114\text{ inches}-93\text{ inches}=21\text{ inches}$$

Step 3: Convert Back to Feet and Inches

Since 21 inches is more than 1 foot (12 inches), we convert:

• 21 inches = 1 foot 9 inches (since $21 - 12 = 9$)

Explanation

A chord is a line segment whose ends lie on the ends of a circle.

Explanation

Given:

A sphere of radius 3 cm

Formula Used:

Total surface area of sphere = $4\times 22/7\times r^2$; where r = radius of sphere

Calculation:

⇒ Total surface area of sphere = $4\times 22/7\times 3^2$

⇒ Total surface area of sphere = $\frac{792}{7}=113.4{\text{cm}}^2\approx 113{\text{cm}}^2$

∴ required Total surface area of sphere = 113cm2

Explanation

 In the equation Y = a + bX, "b" represents the Slope of the line. 

The slope-intercept form of a linear equation is y = mx + b, where "m" is the slope and "b" is the y-intercept. 

Explanation

Circumference =2πr.

∴2πr=31.4.

2×3.14×r=31.4.

r=5cm.

Area =πr2.

Area =3.14×(25)2

=78.5cm2.

Explanation

Area of square = side²

576 = side²

side = √576

side = 24

Explanation

A semicircle is half of a circle.

A central angle which is subtended by a semicircle has a measure of 180°.

A circle is associated with a complete rotation, which is 360°.

A semi-circle is associated with half of a rotation which is 180°.

If an angle is inscribed in a semicircle, it will be half the measure of a semicircle (180 degrees), therefore measuring 90 degrees.