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Brut [27]
3 years ago
7

Can the numbers 24, 32, 40 be the lengths of the three sides of a right triangle? Explain why or why not. Write an essay, and I'

ll brainliest.
Mathematics
2 answers:
AysviL [449]3 years ago
7 0

Answer:

It can

Step-by-step explanation:

24^2+32^2=40^2

576+1024=1600

1600=1600

Therefore, they can be the three sides of a right triangle because it fits the Pythagorean Theorem.

olga55 [171]3 years ago
5 0

Answer:

It can

Step-by-step explanation:

The sum of two lengths have to be greater than the other one in order to be a triangle. At first glance you can see 24+32 is greater than 40, 40+32 is greater than 24 and 24+40 is greater than 32.

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These tables of values represent continuous functions. In which table do the values represent an exponential function?
vichka [17]

Answer:

The correct option is B.

Step-by-step explanation:

A function is called an exponential function if it has common ratio.

A function is called an linear function if it has common difference.

In option A.

\frac{f(2)}{f(1)}=\frac{6}{3}=2

\frac{f(3)}{f(2)}=\frac{9}{6}=\frac{3}{2}

2\neq \frac{3}{2}

Since the given table has different ratio, therefore it is not an exponential function. Option A is incorrect.

In option B.

\frac{f(2)}{f(1)}=\frac{6}{2}=3

\frac{f(3)}{f(2)}=\frac{18}{6}=3

3=3

Since the given table has common ratio, therefore it is an exponential function. Option B is correct.

In option C.

\frac{f(2)}{f(1)}=\frac{22}{10}=\frac{11}{5}

\frac{f(3)}{f(2)}=\frac{34}{22}=\frac{17}{11}

\frac{11}{5}\neq \frac{17}{11}

Since the given table has different ratio, therefore it is not an exponential function. Option C is incorrect.

In option D.

\frac{f(2)}{f(1)}=\frac{8}{7}

\frac{f(3)}{f(2)}=\frac{9}{8}

\frac{8}{7}\neq \frac{9}{8}

Since the given table has different ratio, therefore it is not an exponential function. Option D is incorrect.

3 0
3 years ago
Read 2 more answers
Which is greater 5.1 or 5.01
alexandr1967 [171]
5.1 would be the greater amount. look at the place next the whole number. notice that in 5.1 the # next to the whole # is 1. and in 5.01 the # next to the whole # is 0. so ask yourself which is greater: 1 or 0. 1 is greater so the answer would be 5.1
8 0
3 years ago
Read 2 more answers
Roberto buys a toy for $5.00. He then sells it for $4.60. Calculate his percentage loss.
s2008m [1.1K]

Answer:

8 percent loss

Step-by-step explanation:

8 0
3 years ago
Find the perimeter of the following shape, rounded to the nearest tenth:
Mademuasel [1]

Answer:

B, 19.1

Step-by-step explanation:

Imagine that each side is the hypotenuse of a triangle. You want to use the Pythagorean theorem on each of these triangles to find the length of the side.

Let's start with AB:

One side of the triangle is the distance between the points in the x direction only. A is at the x-coordinate of -3 while B is at the x-coordinate of 2. The side is, thus, 5 units.

The other side of the triangle is the distance between the points in the y direction only. A is at the y-coordinate of 5, while B is at 6. The distance is 1 unit.

So we have a triangle with the base of 5 and the height of 1. The Pythagorean theorem says:

Base² + Height² = Hypotenuse²

Or

a² + b² = c²

where a, b are the sides, and c is the hypotenuse.

Put our values into this, the base is 5 and the height is 1:

5² + 1² = c²

25 + 1 = 26 = c²

c = √26 ≈ 5.1

Repeat this for the lengths BC, CD, and DA.

BC

x-difference = 2

y-difference = 4

4² + 2² = c²

20 = c²

c = √20 ≈ 4.47

CD

x-difference = 5

y-difference = 1

(since this is the same as AB we can use that value ≈ 5.1 )

DA

x-difference = 2

y-difference = 4

(since this is the same as BC, we can use that value ≈ 4.47)

Add all these together:

5.1 + 5.1 + 4.47 + 4.47 ≈ 19.14

(Note: this is not exact, but it's good enough for this purpose)

The closest option to this is B, 19.1 - thus, B is the answer.

5 0
3 years ago
Start at 4. create a pattern that multiplies each number by 4. stop when you have 5 numbers
Sholpan [36]

Answer:

5019

Step-by-step explanation:

79 * 4 + 3 = 319

319 * 4 + 3 = 1,279

1,279 * 4 + 3 = 5,019

3 0
3 years ago
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