Question

all ladders reaches a window which is 12 metre above the ground on one side of the street keeping and foot at the same point the letters turn to the other side of the street to reach a window 5 metre high find the weight of the street if the length of the ladder 30 metre


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Answer 1

Step-by-step explanation:

Sol: 56 Let A be the position of the window on one side of the street and D be the position of the window on the other side of the street. Let AC = DC be the ladder. Let BC = x and CE = y From Δ ACB, 58 59 60 61 62 From Δ DCE 63 64 65 66 ⇒ y = 12. The width of the street = x + y = 9 + 12 = 21 Hence, the width of the street is 21 m.

Answer 2

Answer:

Rational Number- Any Number that can be expressed in the form p/q , where p and q are integers and q ≠ 0, is known as rational number. The collection or group of rational numbers is denoted by Q.

Properties of a Rational Number

▪ Closure- Rational numbers are closed under addition, subtraction and multiplication. For eg.- If p and q are any two rational numbers, then and the sum, difference and product of these rational numbers is also a rational number. This is known as the closure law

▪ Commutativity- Rational numbers are commutative under addition and multiplication. If p and q are two rational numbers, then:

Commutative law under addition says- p + q = q + p.

Commutative law under multiplication says p x q = q x p.

Note- Rational numbers, integers and whole numbers are commutative under addition and multiplication. Rational numbers, integers and whole numbers are non commutative under subtraction and division.

▪ Associativity- Rational numbers are associative under addition and multiplication. If a, b, c are rational numbers, then:

Associative property under addition: p + (q + r) = (p + q) + r

Associative property under multiplication: p(qr) = (pq)r

▪ Role of zero and one- 0 is the additive identity for rational numbers. 1 is the multiplicative identity for rational numbers.

▪ Multiplicative inverse- If the product of two rational numbers is 1, then they are called multiplicative inverse of each other.

Eg. 4/9 * 9/4 = 1