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2 years ago

9

The length of the 2 altitudes of a parallelogram are 4cm and 6cm. The perimeter of the parallelogram is 40cm. Find the lengths o

f the sides of the parallelogram.

2 answers:

Bumek [7]2 years ago

8 0

2 sides of 8cm and two sudes of 12cm

vivado [14]2 years ago

5 0

Answer:

The sides are 2 parallel sides of 8 cm length and 2 parallel sides of

12 cm length.

Step-by-step explanation:

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What is 3 ( 8 -4x) equivalent to

Mariulka [41]

Answer:

-12x + 24

Step-by-step explanation:

6 0

2 years ago

Find dy/dx for y= x^3 ln (cot x)

ICE Princess25 [194]

<h3>Answer</h3>

$\dfrac{dy}{dx} = 3x^2 \ln(\cot x)-x^3 \csc(x)\sec(x)$

<h3>Explanation</h3>

By the product rule $(d/dx)(f(x)g(x)) = f(x)g'(x) + g(x)f'(x)$ , we have

$\begin{aligned}\frac{dy}{dx} &= \left(x^3 \ln (\cot x) \right)' \\&= x^3\big(\ln (\cot x)\big)' + \ln (\cot x) \cdot \left(x^3\right)' \end{aligned}$

By the chain rule:

$\begin{aligned}\big(\ln (\cot x)\big)' &= \dfrac{1}{\cot x} \cdot (\cot x)' \\ &= \dfrac{1}{\cot x} \cdot -\csc^2 x\\&= -\tan (x) \csc^2(x) \\&= - \frac{\sin x}{\cos x} \cdot \frac{1}{\sin^2 x} = - \frac{1}{\cos x} \cdot \frac{1}{\sin x} \\&= -\csc(x)\sec(x)\end{aligned}$

By the power rule:

$(x^3)' = 3x^2$

thus

$\begin{aligned}\frac{dy}{dx} &= x^3\big(\ln (\cot x)\big)' + \ln (\cot x) \cdot \left(x^3\right)' \\&= x^3\big( -\csc(x)\sec(x) \big) + \ln(\cot x) \cdot (3x^2) \\&= -x^3 \csc(x)\sec(x) + 3x^2 \ln(\cot x) \\&= 3x^2 \ln(\cot x)-x^3 \csc(x)\sec(x)\end{aligned}$

Nothing to do to simplify any further, other than factoring out $x^2$ .

4 0

2 years ago

A picture is x+20 cm in width and 2x-10 cm in length. The frame is a

Jobisdone [24]

Answer:

A = 1100cm^2

Step by step Explanation:

given the dimensions of width and length of the picture are x+20 by 2x-10 and the frame is a constant 5 cm wider from the edge of the picture to the frame, than the area of the frame is defined as (x+30)(2x)-(x+20)(2x-10) = 30x+200.

If the width is equal to the length which I assume is true if the width is constant.

than x+30=2x, which means x = 30.

if this is true than 30(30)+200 = 1100cm^2

8 0

2 years ago

Which shows all the prime factors for 36? A.2 • 18 B.4 • 9 C.2 • 2 • 3 • 3 D.2 • 2 • 3 • 5

DENIUS [597]

36 = 2 x 2 x 3 x 3 (Answer C)

7 0

2 years ago

Please help me out on this

LenKa [72]

Answer:

D

Step-by-step explanation: since it is a open dot to the right it’s x>-3 open dot means less than or greater than going to right means greater than

5 0

2 years ago