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2 years ago

PLEASEEEE HELPPPPP!!

Mathematics

1 answer:

Mnenie [13.5K]2 years ago

7 0

situation = condition.

gratitude = appreciation...

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Find a fraction equivalent to 5/7 whose squared terms add up to 1184.

bogdanovich [222]

The system of equations of two unknowns is formulated and solved.

$\large\displaystyle\text{$\begin{gathered}\sf \bf{ \left\{\begin{matrix} \ \ \ \dfrac{x}{y} = \dfrac{5}{7} \\ x^2+y^2 = 1184 \end{matrix}\right. \ \Longrightarrow \ x=\dfrac{5}{7}y } \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \bf{ \left (\dfrac{5}{7}y \right )^2+y^2=1184\ \Longrightarrow\ 25y^2+49y^2=58016 } \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \bf{74y^{2}=58016} \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf \bf{ \ \ \ \ \ \ y^{2}=784 } \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf \bf{ \ \ \ \ \ y=\pm\sqrt{784}=\pm28 } \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \bf{ x=\dfrac{5}{7}(\pm 28)=\pm 20 } \end{gathered}$}$

The fraction that satisfies the request is $\bf{\dfrac{20}{28}}$ , since in $\bf{\dfrac{-20}{-28}}$ the negative signs are canceled and the first fraction is obtained.

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2 years ago

Dune Plant

rodikova [14]

Answer:

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Step-by-step explanation:

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3 years ago

Roger wants to carpet a rectangular room with length of 8 3/4 feet and a width of 9 1/3 feet. If he has 85 square feet of carpet

Dima020 [189]

Answer:

12.66 $ft^2$

Step-by-step explanation:

Given the dimensions of the room are $8\frac{3}{4}$ = $\frac{31}{4}$ and $9\frac{1}{3}$ = $\frac{28}{3}$ .

The area of the room = $length*width$

Area= $\frac{31}{4} *\frac{28}{3}$

Area=72.33 $ft^2$

The area of the carpet=85 $ft^2$

The area of carpet left= Total area of carpet - the area of the room

The area of carpet left= 85-72.33=12.66 $ft^2$

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3 years ago

What are the values of the trigonometric ratios for this triangle?

Norma-Jean [14]

We know that
in the right triangle

sinθ=opposite side/hypotenuse
cosθ=adjacent side/hypotenuse
tanθ=opposite side/adjacent side

in this problem
opposite side angle θ=8
adjacent side angle θ=15
hypotenuse=17
so

sinθ=8/17
cosθ=15/17
tanθ=8/15

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3 years ago

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DENIUS [597]

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Step-by-step explanation:

The total minus the cost of the eggs leaves you with just the total of the potatoes. Since we know that the total of the potatoes is the product of 5 bags, we can divide the total of the potatoes by 5 to find the cost of each bag of potatoes.

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