Explanation

Explanation

To find the perimeter of a semi-circle, we need to consider two parts:

1. The half of the circumference of the circle, which is $frac{1}{2} times 2pi r = pi r$.
2. The diameter of the circle, which is $2r$.

• The radius $r = 700$ meters.

1. Calculate the curved part (half of the circumference):

   $$text{Curved part} = pi times r = pi times 700 approx 3.1416 times 700 approx 2199.12 , text{m}$$

2. Add the diameter:

   $$text{Diameter} = 2 times r = 2 times 700 = 1400 , text{m}$$

3. Total perimeter:

   $$text{Perimeter} = text{Curved part} + text{Diameter} = 2199.12 , text{m} + 1400 , text{m} = 3599.12 , text{m}$$

4. Convert the result to kilometers:

   $$3599.12 , text{m} = 3.6 , text{km}$$

Explanation

Explanation

A heptagon is a polygon that has seven sides.

It is a closed figure having 7 vertices.

A heptagon is also sometimes called Septagon.

while

Triangle (3-sided polygon)

Quadrilateral (4-sided polygon)

Pentagon (5-sided polygon)

Hexagon (6-sided polygon)

Heptagon (7-sided polygon)

Octagon ( 8 sided polygon) 

Explanation

An arithmetic sequence is a sequence of numbers where the difference between consecutive terms is constant.

Let’s check each option:

B. 72, 73, 75, 78
Differences: +1, +2, +3 → Not arithmetic

A. 31, 32, 33, 34
Common difference: +1 → Arithmetic

C. 11, 15, 17, 23

Differences: +4, +2, +6 → Not arithmetic

Explanation

Quadratic equations have roots that can be:

• Real and distinct
• Real and equal
• Imaginary
• Rational or irrational

“Cubic” relates to degree 3, not to root types.

Explanation

• Six girls are sitting in a circle facing towards the center.
• R is between N and S.
• P is next to the left of V.
• R is 4th to the right of P.

Start by assuming a position for each girl and using the clues:

1. P is next to the left of V.
   • Since they are facing towards the center, P will be on the immediate left of V.
2. R is 4th to the right of P.
   • Moving 4 positions to the right of P gives the position of R.
3. R is between N and S.
   • Since R is between N and S, N and S should be on either side of R.

Now, let's arrange them:

• Assume positions for P and V based on the first clue.
• With the second clue, place R correctly in relation to P.
• Finally, place N and S based on the third clue.

After carefully analyzing all clues, we can conclude that:

The position of T is second to the left of P.

Explanation

The integrating factor for a first-order linear differential equation dy/dx + P(x)y = Q(x) is exp (∫P(x)dx).

This is a well-known result in differential equations.

Explanation

A polygon having 8 sides is called octagon 

A polygon having 10 sides is called decagon

A polygon having 4 sides is called quadrilateral

Explanation

See the point (3,-2) will lie on the fourth quadrant

As in the first quadrant, the sign for”x co-ordinate” and “y co-ordinate” are

(+x,+y)

And for the second quadrant ,the sign for”x co-ordinate” and “y co-ordinate” are (-x,+y)

Next for the third quadrant ,the sign for”x co-ordinate” and “y co-ordinate” are (-x,-y)

And for the fourth quadrant, the sign for “co-ordinate” and “y co-ordinate” are (+x,-y)

And so as the point (3,-2) lies in the fourth quadrant where x is 3 and y is -2

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agm.04.03.23

ND18-1-2023