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Black_prince [1.1K]
3 years ago
6

What is the solution?

Mathematics
2 answers:
slega [8]3 years ago
7 0
If you're looking for c, then the answer is 6 in. I found this answer by using a2+b2=c2 So 4 squared + 5 squared = 41. So then i found the square root of 41 which is 6.40, which rounds to 6.
avanturin [10]3 years ago
6 0
To find the <em>hypotenuse</em> (the side opposite the right angle) of this right triangle, we turn to one of the oldest and most renowned results in all of mathematics: the Pythagorean Theorem. The Pythagorean Theorem states that the square of the legs of a right triangle is always equal to the square of its hypotenuse (leg²+leg²=hypotenuse²). Here, our legs our 4 and 5 respectively, and our hypotenuse is unknown. Let's call our hypotenuse <em>c</em>. We have:

4^2+5^2=c^2

4² = 16, and 5² = 25, so putting the two together, we get:

16+25=c^2\\41=c^2\\\sqrt{41}=c

41 is prime, so we cannot reduce this radical any further. The measure of our hypotenuse c is √41.

For reference, and for its sheer elegance, I've included a copy of my favorite proof of the Pythagorean Theorem so you can get a feel for <em>why</em> it works.

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Solve for the unknown variable "x" in the following linea equation: 2 ( 2x + 20) = 80 X =
Stella [2.4K]

Step-by-step explanation:

2(2+20)=80

4+40=80 (Distribute)

4+40-40=80-40(Subtract from both sides of the equation)

4=40(Simplify)

4/4=404/4(Divide both sides of the equation by the same term to get x=10)

=10

4 0
3 years ago
The graph of y = x^3 is transformed as shown in the graph below. Which equation represents the transformed function?
Kay [80]

Answer:

y = -6 * x^3

Step-by-step explanation:

We can model the new function as:

f(x) = ax^3

the function y = x^3 have positive values of y for positive values of x, and negative values of y for negative values of x.

As the negative values of x have positive values of y and vice-versa, the first change is to put a negative sign in front of x^3, so we know that 'a' is negative.

Then, for x=1 we have y = -6, so:

-6 = a*1^3

a = -6

So the equation of the transformed function is:

y = -6 * x^3

8 0
3 years ago
Please help!!!! For each set of given points A, B, C, and D on a number line, find the distances AB, BC, AC, and BD: A(–3); B(5)
PIT_PIT [208]

Answer:

AB=8 BC=17 AC=9 BD=18

Step-by-step explanation:

Okay, so A is -3 and B is 5, so the distance would be 8, because the difference between -3 and 5 is 8. The same goes for all the rest. The distance on the number line is the difference between the two numbers they represent.

7 0
3 years ago
In the problem 3/4 • N=1, n must be
Serggg [28]

3/4 x n=1......n equals 4/3.

In order for n to equal 1 you have to find a number that will make 3/4 a whole number after you multiply it. Usually in problems like these the answer is usually the fraction but flipped around. So 3/4 and 4/3....when you multiply the    numerators you get 12 and when you multiply the denominator you get 12 so 12/12, which equals 1. hope that makes sense.

5 0
2 years ago
Read 2 more answers
One T-Shirt is sold for every 5 people who attend a concert what is one way to write the unit rate in words
professor190 [17]

It can be written as: 1 T-Shirt per 5 people

If you have any further questions feel free to ask.

Hope this helps.

5 0
3 years ago
Read 2 more answers
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