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3 years ago

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What is 56/127 in its simplest form?

1 answer:

myrzilka [38]3 years ago

8 0

56/127 in simplest form would be 56/127, because it doesn't share the same numbers

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Will mark brainliest! Questions are in the picture!

alexdok [17]

Answer:

52.9 inches .

Step-by-step explanation:

Given that the triangular indentation has an area of 100 in.² and the base and height of this traingle are represented by expressions 3x and x+3 respectively . We need to find out the <u>perimeter </u>to the nearest tenth.

As we know that the area of triangle is ,

$\rm\longrightarrow Area_{\triangle}=\dfrac{1}{2}(base)(height)$

Substituting the respective values,

$\rm\longrightarrow 100\ =\dfrac{1}{2}(x+3)(3x)\\\\\rm\longrightarrow 2(100) = 3x(x+3)\\\\\rm\longrightarrow200 = 3x^2+9x\\\\\rm\longrightarrow 3x^2+9x-200=0$

On using the <u>Quadratic</u><u> formula</u> , we have;

$\rm\longrightarrow x =\dfrac{-9\pm\sqrt{9^2-4(3)(-200)}}{2(3)} \\\\\rm\longrightarrow x =\dfrac{-9\pm \sqrt{81+1200}}{6}\\\\\rm\longrightarrow x =\dfrac{-9\pm \sqrt{1281}}{6}$

On simplifying above , we will get ,

$\rm\longrightarrow x = 6.802,-9.802$

Since sides can't be negative, therefore,

$\rm\longrightarrow\underline{\underline{ x =6.802}}$

Therefore ,

$\rm\longrightarrow Base = 3x =3(6.802)in = 20.406\ in\\$
$\rm\longrightarrow Height = x +3=6.802+3=9.802\ in$

Next let's find out the <u>hypotenuse </u>using Pythagoras theorem, as ;

$\rm\longrightarrow h=\sqrt{ b^2+p^2}\\$

$\rm\longrightarrow h =\sqrt{ (20.406)^2+(9.802)^2}\\$

$\rm\longrightarrow h =\sqrt{416.40+96.07}\\$

$\rm\longrightarrow h = 22.63\ in$

Now we may find perimeter as ,

$\rm\longrightarrow P = p + b + h \\$

$\rm\longrightarrow P = (22.63 + 9.802 + 20.406)in.$

$\\\rm\longrightarrow P = 52.89 \ in.\\$

$\rm\longrightarrow \underline{\underline{ Perimeter = 52.9\ in .}}$

8 0

3 years ago

Happy veterans day everybody!!!

Serjik [45]

Answer:

happy vets day

Step-by-step explanation:

4 0

3 years ago

The reproduction function for a sardine is f(p) = −0.0005p2 + 4p, where p and f(p) are in hundred metric tons. Find the populati

tensa zangetsu [6.8K]

Answer:

Population (p) = 4,000 hundred metric tons

Size of the yield (f(p)) = 8,000 hundred metric tons

Step-by-step explanation:

The population of sardines 'p', for which the derivate of the function f(p) is zero, is the population that gives the maximum sustainable yield:

$f(p) = -0.0005p^2 + 4p\\\frac{df(p)}{dp}=-0.0010p+4\\-0.0010p+4 =0\\p=4,000$

The size of the maximum sustainable yield is:

$f(p) = -0.0005p^2 + 4p\\f(4,000) = -0.0005(4,000^2) + 4*4,000\\f(4,000) = 8,000$

Population = 4,000 hundred metric tons

Size of the yield = 8,000 hundred metric tons

3 0

3 years ago

Find the annual infiltration rate for the nearest 10th of a percent of a gallon of milk that increases the value from $1.51 to $

Leno4ka [110]

Answer:

7.429 cents

Step-by-step explanation:

Given that:

Price change = $1.51 to $2.03

Period of time = 7 years

Therefore, the annual inflation rate :

Difference in price / number of years

($2.03 - $1.51) / 7

$0.52 / 7

= 0.0742857 per year

= 0.0742857 * 100 (about 7.429 cents per year)

5 0

2 years ago

What is the coefficient of the term -21xy

Arturiano [62]

Answer:

-21

Step-by-step explanation:

In the term -21xy, -21 is the coefficient. It comes before the variables that are x and y.

4 0

3 years ago