What is the sin, cos, and tan of -495 degrees, and -20π/3  ??

Answers

Answer 1
Answer: sin-495 = 0.98
cos-495 = 0.19
tan-495 = 4.95

sin-20π/3 = 0
cos-20π/3 = 0.3
tan-20π/3 = 0






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Solve to three significant digits 123= 500e ^ -0.12x

Answers

500{ e }^( -0.12x )=123\n \n { e }^{ -\frac { 12 }{ 100 } x }=\frac { 123 }{ 500 } \n \n { e }^{ -\frac { 3 }{ 25 } x }=\frac { 123 }{ 500 }

\n \n { \left( { e }^( x ) \right)  }^{ -\frac { 3 }{ 25 }  }=\frac { 123 }{ 500 } \n \n { e }^( x )={ \left( \frac { 123 }{ 500 }  \right)  }^{ \frac { 1 }{ -\frac { 3 }{ 25 }  }  }

\n \n { e }^( x )={ \left( \frac { 123 }{ 500 }  \right)  }^{ -\frac { 25 }{ 3 }  }\n \n \ln { \left( { \left( \frac { 123 }{ 500 }  \right)  }^{ -\frac { 25 }{ 3 }  } \right)  } =x

\n \n x=-\frac { 25 }{ 3 } \ln { \left( \frac { 123 }{ 500 }  \right)  }

\therefore \quad x\approx 11.7

Mario travels 180 miles in 2.5 hours of Mario travels at the same right how far can Mario travel in 12.5 hours

Answers

12.5/2.5=5
5x180= 900

Answer:

900 miles

Step-by-step explanation:

well if you have 12.5 and you divide it by 2.5 you get 5. I do this because you need to find out how many time 2.5 goes into 12.5 so you can then multiply 180 by that number. 180*5=900

The sales tax on a new camera is $5.60, which is 8% of the total price.What is the price of the camera?

Answers

$5.60 = 0.08x
Solve by dividing both sides by 0.08
$5.60 ÷ 0.08 = $70
Price: $70
the total price is 6.05 because 8 percent of 5.60 is .45 so 5.60+.45 is 6.05

What is the discriminant of the polynomial 4x^2+4x+1A.) -12
B.) -4
C.) 0
D.) 32

Answers

Answer:

C.) 0

Step-by-step explanation:

ax^2+bx+c

discriminant

b^2 -4ac

4^2-4*4*1

16-16

0

Answer:

\Large \boxed{\mathrm{\bold{C.} \ 0}}

Step-by-step explanation:

The polynomial is given:

4x^2+4x+1

The polynomial is in the form ax² + bx + c.

We can use the discriminant formula:

b^2-4ac

Plugging in the values and evaluating.

4^2-4(4)(1)

16-16

0

The discriminant is 0.

Prove: sin θ - sin θ•cos2 θ = sin3 θ. You must show all work.

Answers

sin²α+сos²α=1            sin²α=1-cos²α

sin θ - sin θ•сos²θ =  sin³ θ

sin θ - sin θ•сos²θ
=sin θ(1-сos²θ)
=sin θ·sin²θ
=sin³ θ





Find any real solutions for the following equations

x3 = - 64

Answers

Hello,

x^3+64=0
==>(x+4)(x²-4x+16)=0
==>x=-4 because x²-4x+16 is not factorable in R.