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3 years ago

the area of a rectangle is 95 square yard. if the perimeter is 48 yards find the length and width of rectangle

1 answer:

4 0

Try this option:
according to the condition w+l=48 and w*l=95.
Using these two equation:
$\left \{ {{l+w=48} \atop {lw=95}} \right. \ =\ \textgreater \ \ \left[\begin{array}{ccc}l=24- \sqrt{481};w=24+ \sqrt{481}\\ \\l=24+ \sqrt{481};w=24- \sqrt{481}\end{array}$

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I need help with this.

alexandr402 [8]

Answer:

Step-by-step explanation:

Using the pythagorean triples: 3,4,5 you can determine the third side.

Using a right triangle you have a hypotenuse of 5, the height of the triangle would be 4, so then the base would be 3 but you have two right triangles together so you have to double it which equals 6.

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4 years ago

Which of the following is a solution to 2cos2x − cos x − 1 = 0?

Pavel [41]

Answer:

Option A is correct.

Solution for the given equation is, $x = 0^{\circ}$

Step-by-step explanation:

Given that : $2\cos^2x -\cos x -1 =0$

Let $\cos x =y$

then our equation become;

$2y^2-y-1= 0$ .....[1]

A quadratic equation is of the form:

$ax^2+bx+c =0$ .....[2] where a, b and c are coefficient and the solution is given by;

$x = \frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Comparing equation [1] and [2] we get;

a = 2 b = -1 and c =-1

then;

$y = \frac{-(-1)\pm \sqrt{(-1)^2-4(2)(-1)}}{2(2)}$

Simplify:

$y = \frac{ 1 \pm \sqrt{1+8}}{4}$

$y = \frac{ 1 \pm \sqrt{9}}{4}$

$y = \frac{ 1 \pm 3}{4}$

$y = \frac{1+3}{4}$ and $y = \frac{1 -3}{4}$

Simplify:

y = 1 and $y = -\frac{1}{2}$

Substitute y = cos x we have;

$\cos x = 1$

⇒ $x = 0^{\circ}$

and

$\cos x = -\frac{1}{2}$

⇒ $x = 120^{\circ} \text{and} x = 240^{\circ}$

The solution set: $\{0^{\circ}, 120^{\circ} , 240^{\circ}\}$

Therefore, the solution for the given equation $2\cos^2x -\cos x -1 =0$ is, $0^{\circ}$

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4 years ago

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Answer:

I think its Alyssa

Step-by-step explanation:

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3 years ago

The quotient of 13÷24 is a decimal number. which digit in the quotient is overlined?<br>

Dafna11 [192]

Answer:

6 would be the overlined number

Step-by-step explanation:

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3 years ago

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A circle has a central angle measuring 90° that intersects an arc of length 117.75 inches.Using 3.14 for pi, what is the length

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