If y=3 when x=4,find y when x=6

Mathematics

2 answers:

sleet_krkn [62]3 years ago

8 0

Answer:

When y=3, x=4 but when x=6, y is :---

$\frac{3}{4} = \frac{y}{6} \\ y = \frac{3 \times 6}{4} \\ y = \frac{9}{2} \\ \boxed{ y = 4.5}$

<h3>★ Value of y is <u>4.5</u></h3>

borishaifa [10]3 years ago

6 0

Answer:

Step-by-step explanation:

(x)(y) = k Inverse relationship

(4)(3) = k

12 = k

(6)(y) = 12

y = 2

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Find the coordinates of the point P at an angle of 45 degrees on a circle of radius 4.5. Round your answer to 3 decimal places.

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$\bf sin(\theta)=\cfrac{y}{r}
\qquad 

% cosine
cos(\theta)=\cfrac{x}{r}\quad 
\begin{cases}
r=radius=hypotenuse\\
x=adjacent\\
y=opposite\\
\theta=angle
\end{cases}\\
-----------------------------\\
thus
\\\\

\begin{cases}
r=4.5\\
\theta=45^o
\end{cases}\implies 
\begin{cases}
sin(\theta)=\cfrac{y}{r}\to sin(45^o)=\cfrac{y}{4.5}\to 4.5\cdot sin(45^o)=y
\\\\
cos(\theta)=\cfrac{x}{r}\to cos(45^o)=\cfrac{x}{4.5}\to 4.5\cdot cos(45^o)=x
\end{cases}
\\\\
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4 years ago

a rectangle has a length that is 4 times longer than it's width. If the total area of the rectangle is 121 square feet, what is

larisa86 [58]

Answer:

L = 22 ft

Step-by-step explanation:

Let L and W represent the length and width respectively.

L = 4W, or W = L/4. Use W = L/4 because we want to solve for W, not for L.

Area of a rectangle: A = L · W

Here, A = L · L/4 = 121 ft²

Mult. both terms by 4 removes the fraction: