Which side of the right triangle is always the longest? And what is it called?

Mathematics

2 answers:

Lesechka [4]3 years ago

7 0

Side opposite the largest angle and it’s called the hypotenuse

Gemiola [76]3 years ago

7 0

It is always the side opposite the right angle. It is called the hypotenuse, or C.

If you are given the length of A and B, you can use the Pythagorean Theorem to find the missing angle of the hypotenuse.

<h2>Have a great day!</h2>

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Geometry help! Please prove the following is a square with full explanation, I'm really lost.

Hoochie [10]

We have to show that this is a square, meaning all the sides are perpendicular and the same distance.

A(3,4), B(2,-2), C(-4,-1), D(-3,5)

For each side we calculate the squared distance and the slope. We don't have to bother to take the square root. We'll subtract the points first because that difference, called the direction vector, goes into both the calculation of the slope and of the distance.

AB=B-A=(2 - 3, -2 - 4) = (-1, -6). slope=-6/-1=6 AB²=(-1)²+(-6)²=37

BC=C-B=(-6, 1). slope=1/-6=-1/6. BC²=(-6)²+1²

CD=D-C=(1, 6). slope=6/1=6 CD²=1²+6²=37

DA=A-D=(6,-1) slope=-1/6 DA²=37

We see the negative reciprocal slopes, alternating between 6 and -1/6, indicating perpendicular sides. We see they all have squared distance 37. Equal perpendicular sides proves its a square.

If we do these problems enough we learn: There's no point taking the square root. In fact, there's really no point computing the slopes and the squared distances; we can see it's a square from the pattern of the direction vectors of the sides: (-1, -6) (-6, 1) (1, 6) (6,-1)

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3 years ago

Solve the equation.<br> 5 = -2n<br> n =<br> Pls hurry 20 points

Katarina [22]

I’m pretty sure it’s n=-5
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3 0

3 years ago

Read 2 more answers

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sweet [91]

Answer:

<h2>Below, Hope this helps :)</h2>

Step-by-step explanation:

The variable t represents the amount of gas in mom's truck. Since we need to find a number that is 50% more than 12, we use 1.5 (we would use 2 if we want 100% more, so it makes sense that we use 1.5, since we want to add 1/2 of 12 to 12. The answer is 18.)

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3 years ago

If you could please help me that would be great.

Brut [27]

No.1
r=9

No.3
r=10.5ft

No.5
C=132m

No.7
C=25.12

No.9
44

No.11
264cm

No.13
97.34m

No.15
47.1

No.17
Am not sure

Hope this helps though

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1 year ago

Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 144 millimeters,

valentinak56 [21]

Answer:

The probability that the sample mean would differ from the population mean by more than 2.6 mm is 0.0043.

Step-by-step explanation:

According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample means will be approximately normally distributed.

Then, the mean of the distribution of sample mean is given by,

$\mu_{\bar x}=\mu$