Scratchpad

The perimeter of a rectangle is 34 units. Its width is 6.5 point, 5 units.

12345 [234]

<h3>Question:</h3>

The perimeter of a rectangle is 34 units. Its width W is 6.5 units.

Write an equation to represent the perimeter in terms of the length L, and find the value of L

<h3>Answer:</h3>

The length of rectangle is 10.5 units

<h3>Solution:</h3>

Given that,

Perimeter of rectangle = 34 units

Width of rectangle = 6.5 units

Let "L" be the length of rectangle

The perimeter of rectangle is given by formula:

Perimeter = 2(length + width)

Substituting the values we get,

$34 = 2(L + 6.5)$

Thus the equation is found

Solve for "L"

$L + 6.5 = \frac{34}{2}\\\\L + 6.5 = 17\\\\L = 17 - 6.5\\\\L =10.5$

Thus length of rectangle is 10.5 units

6 0

3 years ago

Prove this trigonometric identity sin 3x/sin x - cos 3x/cos x =2

Sveta_85 [38]

Step-by-step explanation:

LHS= sin 3x/sin x - cos 3x/cosx

Taking LCM,

=sin3xcosx- cos3xsinx

sinxcosx

=sin(3x-x)

sinxcosx

= 2sin2x

2sinxcosx

= 2sin2x

sin2x

=2

= RHS.

Proved.

8 0

4 years ago

A model is made of an airplane is 48 ft long and the model is 36 inches long what is the ratio of the length of the model to the

Leno4ka [110]

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5 0

3 years ago

What is the value of x

enyata [817]

The value of x can be found using the sine function.

sin 30 = x/8
8 (sin 30) = x
4 = x

5 0

3 years ago

The area of a triangle is 195 square centimeters. The length of the base is 26 centimeters. What is the height of the triangle?

Natali5045456 [20]

To find the area of a triangle uses the equation base*height/2. For this equation, we have 26 * h/2 = 195. This means that 26 * h = 195 * 2.
26 * 15 = 390, so your answer is 15 cm.

7 0

3 years ago