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3 years ago

Which of the following uses logical deduction to prove the truth (or falsehood) of a specific statement?

1 answer:

7 0

<span>Direct proof. A direct proof is a way of establishing the truth or falsehood of a given mathematical statement by a combination of established facts, usually axioms, lemmas and theorems. It assumes the hypothesis of a conjecture is true and then uses a series of logical deductions to prove that the conclusion as well.</span>

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A rectangular flower garden in Samantha's backyard has 220 feet around its edge. The width of the garden is 50 feet. What is the

Ede4ka [16]

Answer: 60 ft

Step-by-step explanation:

Given

The perimeter of the garden is $220\ ft$

The width of the garden is $50\ ft$

Suppose the length of the garden is $x$

Perimeter is the sum of the lengths of the sides

$\Rightarrow 220=2(x+50)\\\Rightarrow 110=x+50\\\Rightarrow x=60\ ft$

So, the length of the garden is $60\ ft$

4 0

3 years ago

If you are asked to find 621 divided by 59, how do you know the quotient will be greater than 10 before you actually divide. (my

Nitella [24]

For me, I know that this answer would be greater than 10 because for a fact, 621 and 59 aren't just perfect multiples of 10. But I don't know, because all humans don't really think alike. So, your teacher might say this doesn't work. Then in that case, I am very sorry. :0

But in any case, I hope this helps and have a good night! :D

4 0

3 years ago

“Sarah made the trip in 10 hours, but it only took Alice 8 hours to make the same trip. Find Sarah and Alice's rates if Alice's

Mnenie [13.5K]

Answer:

I belive it would be 28 mph.

4 0

2 years ago

Stacy earned $129.55 last week. Dave earned $127.95 last week. Carlos earned $127.05

noname [10]

Answer:

The total earnings is $384.55

The least earnings is

$127.05

$127.95

$129.55

5 0

3 years ago

The specifications for manufacturing a steel rod stipulate that the length must be 8.225 ± 0.125 inches. The Minimum allowable l

zmey [24]

Answer:

Minimum - 8.1 inches

Maximum - 8.35 inches

Step-by-step explanation:

The specifications for manufacturing a steel rod stipulate that the length must be 8.225 ± 0.125 inches.

This means that the minimum length must not be 0.125 inches less than 8.225 inches and the maximum length must not be 0.125 inches greater than 8.225 inches.

The minimum length is therefore:

8.225 - 0.125 = 8.1 inches

The maximum length is therefore:

8.225 + 0.125 = 8.35 inches

6 0

2 years ago