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3 years ago

5

Sin (2x +14) = cos (x - 5)

1 answer:

Kipish [7]3 years ago

8 0

Answer:

Step-by-step explanation:

sin (2x+14)=cos(x-5)

or 2x+14+x-5=90

3x=90-9=81

x=81/3=27°

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Sin430° x sin490° x sin530° = 1/8

nlexa [21]

Answer: 1/8

Step-by-step explanation:

https://math.stackexchange.com/a/1788346

4 0

3 years ago

Find the missing lengths of the sides. b = , c = 16 b = , c = b = , c = b = , c = 12

FrozenT [24]

Answer:

420

Step-by-step explanation:

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6 0

2 years ago

Read 2 more answers

A particle in the first quadrant is moving along a path described by the equation LaTeX: x^2+xy+2y^2=16x 2 + x y + 2 y 2 = 16 su

ElenaW [278]

Answer:

$\frac{50}{3}$ cm/sec.

Step-by-step explanation:

We have been given that a particle in the first quadrant is moving along a path described by the equation $x^2+xy+2y^2=16$ such that at the moment its x-coordinate is 2, its y-coordinate is decreasing at a rate of 10 cm/sec. We are asked to find the rate at which x-coordinate is changing at that time.

First of all, we will find the y value, when $x =2$ by substituting $x =2$ in our given equation.

$2^2+2y+2y^2=16$

$4-16+2y+2y^2=16-16$

$2y^2+2y-12=0$

$y^2+y-6=0$

$y^2+3y-2y-6=0$

$(y+3)(y-2)=0$

$(y+3)=0,(y-2)=0$

$y=-3,y=2$

Since the particle is moving in the 1st quadrant, so the value of y will be positive that is $y=2$ .

Now, we will find the derivative of our given equation.

$2x\cdot x'+x'y+xy'+4y\cdot y'=0$

We have been given that $y=2$ , $x =2$ and $y'=-10$ .

$2(2)\cdot x'+(2)x'+2(-10)+4(2)\cdot (-10)=0$

$4\cdot x'+2x'-20-80=0$

$6x'-100=0$

$6x'-100+100=0+100$

$6x'=100$

$\frac{6x'}{6}=\frac{100}{6}$

$x'=\frac{50}{3}$

Therefore, the x-coordinate is increasing at a rate of $\frac{50}{3}$ cm/sec.

7 0

2 years ago

Please help with this thank you

PtichkaEL [24]

(5,9) (8,33)

(33-9)/(8-5)= 24/3= 8

y-9= 8(x-5)

y-9= 8x-40

y= 8x-31

3 0

2 years ago

Evaluate y = 0.1(10)x for when x = 5.<br><br> a. 100<br> b. 10,000<br> c. 1<br> d. 10

BaLLatris [955]

Answer:

y=5

Step-by-step explanation:

y = 0,1 × 10 × 5 = 5

I hope I answered correctly

6 0

3 years ago