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3 years ago

Simplify the fraction to the lowest terms: 924 over 1092

Mathematics

2 answers:

kumpel [21]3 years ago

5 0

Answer:

11/13

Step-by-step explanation:

klasskru [66]3 years ago

5 0

924/1092=11/13 to the lowest terms

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What is the value of c

Airida [17]

Answer:

60°

Step-by-step explanation:

First, the figure has 5 sides so we use the formula to find what is the sum of all angles inside of it. 180 (5-2) = 180•3 = 540

then we add all the angles, c+2c+2c+2c+2c=9c

540 = 9c

here we get c=540/9 = 60°

6 0

3 years ago

Find the derivative<br>f (x ) = (x-5)^2 (3-x)^2

zavuch27 [327]

Given:

The function is

$f(x)=(x-5)^2(3-x)^2$

To find:

The derivative of the given function.

Solution:

Chain rule of differentiation:

$[f(g(x))]'=f'(g(x))g'(x)$

Product rule of differentiation:

$[f(x)g(x)]'=f(x)g'(x)+g(x)f'(x)$

We have,

$f(x)=(x-5)^2(3-x)^2$

Differentiate with respect to x.

$f'(x)=(x-5)^2\dfrac{d}{dx}(3-x)^2+(3-x)^2\dfrac{d}{dx}(x-5)^2$

$f'(x)=(x-5)^2[2(3-x)(0-1)]+(3-x)^2[2(x-5)(1-0)]$

$f'(x)=(x^2-10x+25)(-6+2x)+(9-6x+x^2)(2x-10)$

$f'(x)=(x^2)(-6)+(-10x)(-6)+(25)(-6)+(x^2)(2x)-10x(2x)+25(2x)+(9)(2x)+(-6x)(2x)+x^2(2x)+9(-10)+(-6x)(-10)+x^2(-10)$

On further simplification, we get

$f'(x)=-6x^2+60x-150+2x^3-20x^2+50x+18x-12x^2+2x^3-90+60x-10x^2$

$f'(x)=(2x^3+2x^3)+(-6x^2-20x^2-12x^2-10x^2)+(60x+50x+18x+60x)+(-90-150)$

$f'(x)=4x^3-48x^2+188x-240$

Therefore, the derivative of the given function is $f'(x)=4x^3-48x^2+188x-240$ .

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3 years ago

What is 5 divided by-6/5

klasskru [66]

-25/6. hope this helps!

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3 years ago

Brianna built a rectangular flower garden. The garden is 10 feet long and 8 feet wide. What is the area of Briannas flower garde

hjlf

Area of Rectangle = Width × Length
10 × 8 = 80

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4 years ago

The lengthof a track around a football field is 1/4 mile. How many miles do you walk if you walk 2 3/4 times around the track?

Lady bird [3.3K]

0.6875 is your answer

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3 years ago

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