Alex the electrician needs 34 yards of electrical wire to complete his job. he has a coil of wiring in his workshop. the coiled wire is 18 inches in diameter and is made up of 21 circles of wire. will this coil be enough to complete the job? let pi be 3.14.

This coil will not be enough to complete the job.

Step-by-step explanation:

The circumference of the coil of wiring can be calculated with:

Where r is the radius and

The radius can be calculated by dividing the diameter by 2. Then:

Convert 9 inches to yards (1 yard=36 inches):

Substitute this radius into the formula:

Since there are 21 circles of wire, you need to multiply by 21:

The coil has 32.97 yards of wire and Alex needs 34 yards, therefore, this coil will not be enough  to complete the job.

Solution :

It is given that at the end of a month,

John has an account balance of : $2.75

Chary has an account balance of : - $3.00

Andrew also has savings as much as John owes the bank i.e. $2.75

The number line attached below shows the amount of money each of the three has in their account at the end of the month.

Chary owes the bank an amount that is more because $ 3.00 > $ 2.75

As the absolute value of -$3.00 is 3.00 and as $3.00 has more value than $2.75, then it turns out into $3.00 > $2.75