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sineoko [7]
3 years ago
6

Solve the equation. 8x= 72

Mathematics
2 answers:
BigorU [14]3 years ago
6 0

Answer:

X=9

You divide 8 in each side and you will get x=9

Step-by-step explanation:

mars1129 [50]3 years ago
4 0

Answer:

x = 9

Step-by-step explanation:

8x = 72

Divide each side by 8 to isolate x

8x/8 = 72/8

x = 9

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Romashka-Z-Leto [24]

If you start with a 12x16 rectangle and cut square with side length x, when you bend the sides you'll have an inner rectangle with sides 12-2x and 16-2x, and a height of x.

So, the volume will be given by the product of the dimensions, i.e.

(12-2x)(16-2x)x = 4x^3-56x^2+192x

The derivative of this function is

12x^2-112x+192

and it equals zero if and only if

12x^2-112x+192=0 \iff x = \dfrac{14\pm 2\sqrt{13}}{3}

If we evaluate the volume function at these points, we have

f\left(\dfrac{14-2\sqrt{13}}{3}\right) = \dfrac{64}{27}(35+13\sqrt{13})> f\left(\dfrac{14-2\sqrt{13}}{3}\right) = -\dfrac{64}{27}(13\sqrt{13}-35)

So, the maximum volume is given if you cut a square with side length

x=\dfrac{14-2\sqrt{13}}{3}\approx 2.7

5 0
3 years ago
13) Circle O is shown with point A, B, C, and D on Circle O.
sladkih [1.3K]

The value of y is 50

The angle measurement of angle AOB is 100°

<h3>Circle Geometry </h3>

From the question, we are to determine the value of y and the measure of angle AOB

From one the circle theorems, we have that

Angles in the <u>same segment</u> are equal

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From the given information,

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Hence, the value of y is 50

Also, from another circle theorem,

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∠AOB = 2×50°

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Learn more on Circle Geometry here: brainly.com/question/17074363

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Step-by-step explanation:

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