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Luden [163]
3 years ago
6

The lengths of the legs of a right triangle are 6 cm and 3 cm.

Mathematics
1 answer:
Alenkinab [10]3 years ago
5 0

We will calculate the length of the hypotenuse using the Pythagorean theorem. Suppose that the hypotenuse = c, then:

c^2 = 6^2 + 3^2

c^2 = 36 + 9

c^2 = 45

c = square root of 45

c = square root of 9 * square root of 5

c = 3 * square root of 5 ; <em>square root of 5 = approximately 2,24</em>

c = 3 * 2,24 = 6,72 = 6,7

The correct answer is 6,7.

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Daredevil Danny takes a practice jump as shown on the graph below. Complete the steps to determine the equation for the paraboli
Tju [1.3M]

Answer:

Step 2:

Part A

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Part B

I'm not really sure about this part

Part C

f(x)=-12/25(x-25)^2+32

Step 3:

Part A

y = ax^2 + bx + c

Part B

f(x) = -12/25(x - 25)^2 + 32

Part C

a = -12/25

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Step-by-step explanation:

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3 0
3 years ago
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Sunny_sXe [5.5K]
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2.5 + 1.5 + 4.0 + 2.0 = 10
6 0
3 years ago
A box is to be constructed from a sheet of cardboard that is 10 cm by 60 cm by cutting out squares of length x by x from each co
Stells [14]

Volume of a rectangular box = length x width x height<span>

From the problem statement,
length = 60 - 2x
width = 10 - 2x
height = x</span>

<span>
where x is the height of the box or the side of the equal squares from each corner and turning up the sides

V = (60-2x) (10-2x) (x)
V = (60 - 2x) (10x - 2x^2)
V = 600x - 120x^2 -20x^2 + 4x^3
V = 4x^3 - 100x^2 + 600x

To maximize the volume, we differentiate the expression of the volume and equate it to zero.

V = </span>4x^3 - 100x^2 + 600x<span>
dV/dx = 12x^2 - 200x + 600
12x^2 - 200x + 600 = 0</span>

<span>x^2 - 50/3x + 50 = 0

Solving for x,
x1 = 12.74 ;      Volume = -315.56  (cannot be negative)
x2 = 3.92 ;      Volume = 1056.31

So, the answer would be that the maximum volume would be 1056.31 cm^3.
</span><span>
</span>
6 0
3 years ago
3m+8=15<br><img src="https://tex.z-dn.net/?f=3m%20%2B%208%20%3D%2015" id="TexFormula1" title="3m + 8 = 15" alt="3m + 8 = 15" ali
Umnica [9.8K]

Answer:

m = \frac{7}{3}

Step-by-step explanation:

Given

3m + 8 = 15 ( subtract 8 from both sides )

3m = 7 ( divide both sides by 3 )

m = \frac{7}{3}

8 0
3 years ago
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