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qaws [65]
4 years ago
10

Magda saw a triangular sign with a base of 4 feet and a height of 2.8 feet. She reasoned that if she first divided each dimensio

n by 2 before multiplying them together, she would get the right area. Is she correct? Explain.
Mathematics
2 answers:
motikmotik4 years ago
8 0

Answer: She is not correct, because she must multiply the base and the height of the triangle and then divide by 2.

Step-by-step explanation:

1. The formula for calculate the area of a triangle is shown below:

A=\frac{b*h}{2}

Where b is the base and h is the height.

2. Then, if she applied the method she reasoned, she'd obtain the following area:

b=\frac{4ft}{2}=2ft\\h=\frac{2.8ft}{2}=1.4ft\\A=2ft*1.4ft\\A=2.8ft^{2}

 3. But actually, Magda should multiply the base and the height of the triangle and then divide by 2. Then, the correct area is:

 A=\frac{4ft*2.8ft}{2}=5.6ft^{2}

OlgaM077 [116]4 years ago
4 0

Answer:

No, Magda is incorrect. The actual area is 0.5(4)(2.8) = 5.6 ft2. With Magda's method, the area would be (2)(1.4) = 2.8 ft2.

Step-by-step explanation:

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two fractions with different denominators have a sum of 7/12 what are two possible addends that results in this sum
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Consider the following proposed proof by contradiction that for all positive integers n, 3n &gt; 2.
laila [671]

Answer:

The proof contains a simple direct proof, wrapped inside the unnecessary logical packaging of a proof by contradiction framework.

Step-by-step explanation:

The proof is rigourous and well written, so we discard the second answer.

This is not a fake proof by contradiction: it does not have any logical fallacies (circular arguments) or additional assumptions, like, for example, the "proof" of "All the horses are the same color". It is factually correct, but it can be rewritten as a direct proof.

A meaningful proof by contradiction depends strongly on the assumption that the statement to prove is false. In this argument, we only this assumption once, thus it is innecessary. Other proofs by contradiction, like the proof of "The square root of 2 is irrational" or Euclid's proof of the infinitude of primes, develop a longer argument based on the new assumption, but this proof doesn't.

To rewrite this without the superfluous framework, erase the parts "Suppose that the statement is false" and "The fact that the statement is true contradicts the assumption that the statement is false. Thus, the assumption that the statement was false must have been false. Thus, the statement is true."

7 0
3 years ago
5491 apples were harvested from one side of the McMillan farm. they harvested 512 from the other side of the farm.about how many
Andrews [41]

Answer:

6003

Step-by-step explanation:

Given : They harvested 5491 apples from one side of the McMillan farm.

             They harvested 512 from the other side of the farm.

To Find : The total number of apples harvested at the McMillan.

Solution :

Since we know that

Number of apples harvested from one side of the McMillan farm = 5491

Number of apples harvested from other side of the McMillan farm = 512

Now we are supposed to calculate the total number of apples

So, we need to sum the number of apples of both the sides .

⇒5491+512

⇒6003

Hence , the number of apples harvested  at the McMillan is 6003

3 0
3 years ago
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