A car drives 12 miles north, turns, and then drives 8 miles east. How far is the car from its starting point? a. Use the Pythagorean theorem to find the length of the missing side. Be sure to indicate which root represents the answer and write the answer in simplest radical form.
b. Use a calculator to change the answer to decimal form. Round the answer to the nearest tenth. Using this decimal number, write a sentence to explain the meaning of the answer in this situation.

Answers

Answer 1

Answer: a. Using the pythagorean theorem : c = √(a² + b²)
Let: a = 12; b = 8

Substituting the values:
c = √(12² + 8²)
c = √(144 + 64)
c = √(208)
c = √(16)(13)
c = +-4√13

The positive root indicates the answer. The car is 4√13 miles from the starting point.

b. Using a calculator to simplify c = +-4√13 in decimal form would yield:
c = 14.42 miles.

The car is now 14.42 miles away from the starting point.

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What is the complement of 109° degrees? A. 81° B. 71° C. 109° D. 90°

Answers

Final answer:

The complement of 109° degrees is -19°

Explanation:

The complement of an angle is the difference between 90 degrees and the given angle. In this case, the complement of 109 degrees would be 90 - 109 = -19 degrees.

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How many feet in a rod?

2.5

4.5

8.5

16.5

Answers

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Which of the following is not a disadvantage of using cash instead of credit?a.
Using cash will not help you improve your credit rating.
b.
Using cash can be awkward when making large purchases.
c.
Using cash generally requires trips to the bank or ATM to keep cash on hand.
d.
Using cash can make it easier to over-spend since you know exactly how much you have.

Answers

The correct answer is:

D) Using cash can make it easier to over-spend since you know exactly how much you have.

Explanation:

Knowing exactly how much you have on hand will actually help you avoid over-spending.

When using cash, you are aware of exactly how much money you have. With a credit card, this may not be the case; this makes it easier with a credit card to spend more money than you should for your budget. With cash it's easier to avoid this problem.

The statement that is not a disadvantage of using cash instead of credit card is: Option D.

What is a Credit Card?

A credit card can be described as a payment card issued to an account holder, which allows card owners charge the card owner even beyond the deposit the individual has in their account.

The individual's account accrues a balance which the individual must pay in each month.

Using a credit card can be of disadvantage to an individual, because you may spend more than what you intend to spend.

Therefore, the statement that is not a disadvantage of using cash instead of credit card is: Option D.

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What is: 3(7.5 + 2) + 4.6