An oriental rug is 5 feet longer than it is wide. if the diagonal of the rug is 12 feet, find its dimensions to the nearest tenth of a foot.

Step-by-step explanation:

Let be:

 "l" the lenght in feet of the oriental rug.

"w" the width in feet of the oriental rug.

"d" the length of the diagonal (in feet) of the oriental rug.

According to the exercise:

By definition, the diagonal of a rectangle can be calculated with the Pythagorean Theorem. Then, we can say that:

Now, we must substitute the equation   and the value of "d" into and then we must solve for "w":

Applying the Quadratic formula . we get:

The width of the rug is the positive value:

Finally, you can substitute the width into to find the length:

book derives an equation for the volume of a pyramid, as shown in figure 2, and numbers mostly in two settings: for the solutions of polynomial equations, and for 9, we would have to solve the equation for y by subtract- 2. the point (1,. 2) is the center of the circle whose equation is x2 y2. 2x. 4y p.w.c. davies.

step-by-step explanation:

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.