1.Nestor needs 750 centimeters of rope. Rope comes in length of 4 ½ meters and 9 meters at the hardware store 9 meters at the hardware store. Which length of rope should Nestor buy? Example: 4 ½ meters = centimeters 9 meters = centimeters Which length is greater? Explain your findings

Nestor needs to buy 7 ½ meters rope

And: the length of the rope that is greater is : 9 meters

Step-by-step explanation:

From the length conversion table:

We know that:

1 meters = 100 centimetres

We are told that Nestor needs 750 centimeters of rope

Now; these ropes comes in the length of 4 ½ meters and 9 meters at the hardware store

To determine the  length of rope should Nestor buy? ; we will need to first convert the length of the ropes in meters to centimeters first;

so

4 ½ meters to centimeters = 4 ½ × 100 centimeters = 450 centimeters

9 meters to centimeters = 9 × 100 centimeters = 900 centimeters

And Nestor needs to purchase 750 centimeters of rope;

So if ;

4 ½ meters = 450 centimeters

Then ; let x meters = 750 centimeters

So;

x meters × 450 centimeters = 4 ½ meters × 750 centimeters

x meters = (4 ½ meters × 750 centimeters) / 450 centimeters

x = 7 ½ meters

Also;  if

9 meters  =  900 centimeters

Then ; let x meters = 750 centimeters

So;

x meters × 900 centimeters = 9 meters × 750 centimeters

x meters = (9 meters × 750 centimeters) / 900 centimeters

x = 7 ½ meters

Thus; Nestor needs to buy 7 ½ meters rope

And: the length of the rope that is greater is : 9 meters

Nestor should buy the rope that is 9 meters long

Step-by-step explanation:

Nestor will need to buy a rope that is longer than 750 centimeters so that he can easily cut it to serve his need. If he buys a shorter rope, it will be a  lot more difficult to join to get the required length that he needs.

To know the length of his various options and determine the one that is best, we will convert all the ropes to the same unit (cm) and compare is with the required length.

Rope A:  4.5 meters

1 m = 100 cm

4. 5 cm = 4.5 X 100 = 450 cm

This is clearly shorter than is required

Rope B:  9 meters

1 m = 100 cm

9 m = 9 X 100 =  900 cm

This is clearly longer than is required, hence should be Nestor's choice

large crystals result from very slow cooling.

evaporation of water: this would produce an evaporite which is a sedimentary rock. like a salt pan in a desert. not possible to have volcanic rocks originate this way.

crystalization in molten earth: slow cooling over time. (hundreds to millions of years)

crystalization at earth's surface: this results in fast cooling. (a few hours to a few months or years)

crystalization from cooling off hot water: that would be a hydrothermal deposit. while associated with volcanics they are not volcanic rocks themselves and usually occur fairly rapidly.

m∠abd = m∠dbc

step-by-step explanation:

given : ab bisects ∠dbc

as we know that bisection means ab divides   ∠dbc   in two equal angles named as   ∠dba and   ∠abc

so, m∠abd = m∠dbc  

because ab bisects ∠dbc.

hence , the first statement m∠abd = m∠dbc is true.