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3 years ago

60+6=48 What is the value of b?

Mathematics

1 answer:

mina [271]3 years ago

3 0

Answer:

-2

Step-by-step explanation:

Assuming you mean 60 + 6b = 48

subtract 60 from both sides: 6b = 48 - 60 = -12

Now divide both sides by 6 to solve for b: b = -12/6 = -2

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Verify the identity cot(x-pi/2)=-tan x

vampirchik [111]

To verify the identity we need the following identities:

i) $\displaystyle{ \cot(x)= \frac{\cos x}{\sin x}$

ii) $\displaystyle{ \sin (x-y)=\ sinx\cdot\ cosy -\ siny\cdot\ cosx$

iii) $\displaystyle{ \cos (x-y)=\ cosx\cdot \ cosy +\ sinx\cdot\ siny$ .

Also, we have know that $\displaystyle{ \sin \frac{ \pi }{2}=1$ and $\displaystyle{ \cos \frac{ \pi }{2}=0.$

Thus, $\displaystyle{ \cot(x-\frac{\pi}{2})= \frac{\cos (x-\frac{\pi}{2})}{\sin (x-\frac{\pi}{2})}$

By (ii) and (iii) we have:

$\displaystyle{ \frac{\cos (x-\frac{\pi}{2})}{\sin (x-\frac{\pi}{2})}= \frac{\ cosx\cdot \ cos\frac{\pi}{2} +\ sinx\cdot\ sin\frac{\pi}{2}}{\ sinx\cdot\ cos\frac{\pi}{2} -\ sin\frac{\pi}{2}\cdot\ cosx} = \frac{\ sinx}{-\cos x}$

by simplifying $\displaystyle{ \sin \frac{ \pi }{2}=1$ and $\displaystyle{ \cos \frac{ \pi }{2}=0.$

Now, $\displaystyle{ \frac{\ sinx}{-\cos x}$ is clearly -tanx.

4 0

3 years ago

3 square root of 721

NeTakaya

Answer:

La raíz cuadrada de 721

Step-by-step explanation:

La Segunda Raíz o Raíz Cuadrada del número 721 es 26.8514431642

Esto se comprueba multiplicando 26.8514431642 por si mismo, debe arrojar como resultado 721

o en otro termino 721.9049245737

The Second Root or Square Root of the number 721 is 26.8514431642

This is proven by multiplying 26.8514431642 by itself, it must result in 721

or in another term 721.9049245737

5 0

3 years ago

Help me. I'm not very good at math

ahrayia [7]

X=-3 I’m sure I’m right

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3 years ago

What are the characteristics of a right isosceles triangle

const2013 [10]

Answer:

It has 2 45 degree angles

Step-by-step explanation:

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3 years ago

Read 2 more answers

If Mary pay $3695.20for principal and interest every month for 30 years on her $110,000 loan, how much interest will she pay ove

PilotLPTM [1.2K]

Answer:

$1,220,200

Step-by-step explanation:

The total of Mary's payments is ...

$3695.20/mo × 30 yr × 12 mo/yr = $1,330,200

The difference between this repayment amount and the value of her loan is the interest she pays:

$1,330,200 -110,000 = $1,220,200 . . . total interest paid

_____

Mary's effective interest rate is about 40.31% per year--exorbitant by any standard.

6 0

2 years ago