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3 years ago

The cost of 1 m ribbon is ₹ 75. Find the cost of 7/5 metres of ribbon

Mathematics

1 answer:

Margaret [11]3 years ago

8 0

Given that

The cost of 1 m ribbon = Rs.75

The cost of 7/5 m ribbon

→ (7/5)×75

→ (7×75)/5

→7×15

→₹ 105

The cost of 7/5 m ribbon is ₹105.

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viva [34]

Answer:

Step-by-step explanation:

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3 years ago

Performance task A parade route must start And and at the intersections shown on the map. The city requires that the total dista

Flauer [41]

Answer:

A: the proposed route is 3.09 miles, so exceeds the city's limit

Step-by-step explanation:

The length of the route in grid squares can be found using the Pythagorean theorem on the two parts of the route. Let 'a' represent the length of the route to the park from the start, and 'b' represent the route length from the park to the finish. Then we have (in grid squares) ...

a^2 = (12-6)^2 +3^2 = 45

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Then the total length, in grid squares, is ...

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If each grid square is 1/4 mile, then 12.3651 grid squares is about ...

(12.3651 squares) · (1/4 mile/square) = 3.0913 miles

The proposed route is too long by 0.09 miles.

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3 years ago

Prove that H c G is a normal subgroup if and only if every left coset is a right coset, i.e., aH = Ha for all a e G

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$\Rightarrow$

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$\Leftarrow$

Suppose $aH=Ha$ for all $a\in G$ . Let $h\in H$ , we have to prove $aha^{-1} \in H$ for every $a\in G$ . So, let $a\in G$ . We have that $ha^{-1} =a^{-1}h'$ for some $h'\in H$ (by the hypothesis). hence we have $aha^{-1}=h' \in H$ . Because $a$ was chosen arbitrarily we have the desired .