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3 years ago

Answers are highly appreciated!

Mathematics

2 answers:

Tatiana [17]3 years ago

8 0

It’s the second answer

Ksenya-84 [330]3 years ago

6 0

C
Because I had this question

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Find the arc length, x, when , r= 1 and 8 = 2.5 radians. Х 2.5 1 x = [?]

Anna11 [10]

Answer:

x = 2.5

Step-by-step explanation:

The arc length x is calculated as

x = circumference of circle × fraction of circle

= 2πr × $\frac{2.5}{2\pi }$ ( cancel 2π on numerator/ denominator )

x = 1 × 2.5 = 2.5

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2 years ago

What are the steps to solve/verify this

Troyanec [42]

Tan^2 x - Tan^ x sin^2 x

= tan^2x ( 1 - sin^2 x)

= tan^2 x * cos^x

= sin^2 x * cos^2 x
----------------------
cos^2 x

= sin^2 x

5 0

3 years ago

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What two numbers multiply to get 1440 but add to get 78

Maslowich

The answer is 68, Which should be correct

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3 years ago

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Consider the surface z = x 2+4y 2+1. Suppose you are walking on this surface directly above a curve C in the xy-plane, where the

Bess [88]

With $x(t)=\cos t$ and $y(t)=\sin t$ , we have

$z(t)=x(t)^2+4y(t)^2+1$

$z(t)=\cos^2t+4\sin^2t+1$

$z(t)=3\sin^2t+2$

Then $z(t)$ has critical points where

$\dfrac{\mathrm dz}{\mathrm dt}=6\sin t\cos t=3\sin2t=0$

$\implies\sin2t=0\implies2t=n\pi\implies t=\dfrac{n\pi}2$

where $n$ is any integer.

$z(t)$ is increasing wherever $\sin2t>0$ , which happens for

$\dfrac{2n\pi}2$

$\boxed{n\pi$

5 0

3 years ago

What is the solution to the system of equations? Use any method. {y=−3x+1 {2x+5y=18

Softa [21]

Answer:

So the solution set of the equations are {(-1,4)}

the solution is x = -1 and y = 4

Step-by-step explanation:

Equations given to us are

y = -3x + 1 ..................(i)

2x + 5y = 18 .................(ii)

To find the value of x and y or the solution set of the system of equations

Now in first equation we see that

y = -3x + 1

Putting this value in equation (ii)

which is

2x + 5y = 18

Putting value of y from (i) in it

2x + 5(-3x + 1) = 18

Opening the bracket and multiplying inside

2x -15x + 5 = 18

-13 x + 5 = 18

Subtracting 5 from both sides of the equation

-13x + 5 - 5 = 18 -5

-13x = 13

Dividing both sides by -13

$\frac{-13x}{-13}=\frac{13}{-13}$

Cutting out the same values gives us

x = -1

For value of y

putting value of x in equation (i)

which is

y = -3x + 1

Putting the value

y = -3(-1)+1

y=3+1

y=4

So the solution set of the equations are {(-1,4)}

the solution is x = -1 and y = 4

4 0

4 years ago