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Katen [24]
3 years ago
9

Which is not a true statement?

Mathematics
1 answer:
lyudmila [28]3 years ago
7 0

Answer:

B 10.211 < 10.210

Step-by-step explanation:

Evaluating each of the given statements one by one:

A 10.345 > 10.340

Decimal values at the tenth and hundredth place are the same on both sides while the thousandth part value is greater on the left side.

Hence, this statement is true

B 10.211 < 10.210

Decimal values at the tenth and hundredth place are the same on both sides while the thousandth part value is greater on the left side.

Hence , this statement is not true because 10.211>10.210

C 9.999 < 10.0

This statement is true because 9.999 is less than 10.

D 6.3 = 6.30​

This statement is correct as the left hand side is the same as right hand side.

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The Pythagorean's Theorem for our situation would look like this:

shortleg^2+longleg^2=hypotenuse^2

So let's call the short leg s, the long leg l and the hypotenuse h. It appears that all our measurements are based on the measurement of the short leg. The long leg is 4 more than twice the short leg, so that expression is l=2s+4; the hypotenuse measure is 6 more than twice the short leg, so that expression is h=2s+6. And the short leg is just s. Now we can rewrite our formula accordingly:

s^2+(2s+4)^2=(2s+6)^2

And of course we have to expand. Doing that will leave us with

s^2+4s^2+8s+8s+16=4s^2+12s+12s+36

Combining like terms we have

5s^2+16s+16=4s^2+24s+36

Our job now is to get everything on one side of the equals sign and solve for s

s^2-8s-20=0

That is now a second degree polynomial, a quadratic to be exact, and it can be factored several different ways. The easiest is to figure what 2 numbers add to be -8 and multiply to be -20. Those numbers would be 10 and -2. Since we are figuring out the length of the sides, AND we know that the two things in math that will never EVER be negative are time and distance/length, -2 is not an option. That means that the short side, s, measures 10. The longer side, 2s+4, measures 2(10)+4 which is 24, and the hypotenuse, 2s+6, measures 2(10)+6 which is 26. So there you go!

6 0
4 years ago
3×0.7= <br> And could you please do the model
otez555 [7]

Answer: 2.1, I don't really know how to show a model for this, its just that when you multiply 3 and 7 you get 21, when you do 0.7 and 3, you just put the decimal place between the 2 and 1.

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
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wolverine [178]
Answer: x = (cd + by) / a

Working out:

(ax - by) / c = d

1)Multiply by c on both sides to get:
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3) divide by a on both sides to get:
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