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3 years ago

How does doubling the side lengths of a right triangle affect it's perimeter

1 answer:

8 0

Doubling the linear dimensions (side lengths) of any figure doubles its perimeter and quadruples (x 4) its area. If its a 3-D (solid) figure, its volume multiplies by 8 .

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Can anyone help me please

Andrew [12]

I think the answer is #4

4 0

3 years ago

Prove that sinxtanx=1/cosx - cosx

maks197457 [2]

Answer:

See below

Step-by-step explanation:

We want to prove that

$\sin(x)\tan(x) = \dfrac{1}{\cos(x)} - \cos(x), \forall x \in\mathbb{R}$

Taking the RHS, note

$\dfrac{1}{\cos(x)} - \cos(x) = \dfrac{1}{\cos(x)} - \dfrac{\cos(x) \cos(x)}{\cos(x)} = \dfrac{1-\cos^2(x)}{\cos(x)}$

Remember that

$\sin^2(x) + \cos^2(x) =1 \implies 1- \cos^2(x) =\sin^2(x)$

Therefore,

$\dfrac{1-\cos^2(x)}{\cos(x)} = \dfrac{\sin^2(x)}{\cos(x)} = \dfrac{\sin(x)\sin(x)}{\cos(x)}$

Once

$\dfrac{\sin(x)}{\cos(x)} = \tan(x)$

Then,

$\dfrac{\sin(x)\sin(x)}{\cos(x)} = \sin(x)\tan(x)$

Hence, it is proved

5 0

3 years ago

How can i factorise <img src="https://tex.z-dn.net/?f=12x%20-%206" id="TexFormula1" title="12x - 6" alt="12x - 6" align="absmidd

Lorico [155]

Answer:

6(2x - 1)

Step-by-step explanation:

Given

12x - 6 ← factor out common factor of 6 from both terms

= 6(2x - 1) ← in factored form

8 0

3 years ago

Read 2 more answers

Can you help me please

sammy [17]

Answer:

196

Step-by-step explanation:

3 0

3 years ago

Solve the equation 2x+3/3 - 3x/2=-4<br>Fast please

alina1380 [7]

Answer:

x = 6

Step-by-step explanation:

Assuming the equation is

$\frac{2x+3}{3}$ - $\frac{3x}{2}$ = - 4

Multiply through by 6 ( the LCM of 3 and 2 ) to clear the fractions

2(2x + 3) - 9x = - 24

4x + 6 - 9x = - 24

- 5x + 6 = - 24 ( subtract 6 from both sides )

- 5x = - 30 ( divide both sides by - 5 )

x = 6

6 0

3 years ago