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3 years ago

If sin x = 0.9, what is the value of cos x? Round the value to the nearest thousandth.

Mathematics

1 answer:

Svetlanka [38]3 years ago

5 0

Sinx=0.9

arcsin0.9=x

cos(arcsin0.9)=0.436

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Find the greatest solution for x+y when x^2+y^2 = 7, x^3+y^3=10

damaskus [11]

Answer:

Step-by-step explanation:

set

$f(x,y)=x+y\\$

constrain:

$g(x,y)=x^2+y^2 = 7\\h(x,y)=x^3+y^3=10$

Partial derivatives:

$f_{x}=1\\f_{y} =1 \\g_{x}=2x \\g_{y}=2y\\h_{x}=3x^2 \\h_{y}=3y^2$

Lagrange multiplier:

$grad(f)=a*grad(g)+b*grad(h)\\$

$\left[\begin{array}{ccc}1\\1\end{array}\right]=a\left[\begin{array}{ccc}2x\\2y\end{array}\right]+b\left[\begin{array}{ccc}3x^2\\3y^2\end{array}\right]$

4 equations:

$1=2ax+3bx^2\\1=2ay+3by^2\\x^2+y^2=7\\x^3+y^3=10$

By solving:

$a=4/9\\b=-2/27\\x+y=4$

Second mathod:

Solve for x^2+y^2 = 7, x^3+y^3=10 first:

$x=\frac{1}{2} -\frac{\sqrt{13}}{2} \ or \ y=\frac{1}{2} +\frac{\sqrt{13}}{2} \\x=\frac{1}{2} +\frac{\sqrt{13}}{2} \ or \ y=\frac{1}{2} -\frac{\sqrt{13}}{2} \\x+y=-5\ or\ 1 \or\ 4$

The maximum is 4

6 0

3 years ago

FIRST ANSWER GETS BRAINLIEST solve 4x-9y=11 for y

Andrei [34K]

i think its 5 honestly.

7 0

3 years ago

Please help me ASAP.

Sladkaya [172]

Sending help your way :)

8 0

3 years ago

-5x+35=40<br><br>what are the steps?

Svetlanka [38]

Answer:

Step-by-step explanation:

-5x + 35 = 40

Subract 35 from both sides -5x + 35 - 35 = 40 - 35 = (-5x = 5)

Divide -5 from both sides -5x / -5 = 5 / -5 =

x = -1

7 0

2 years ago

Read 2 more answers

Anybodyyy know how to do thisss ???

Kamila [148]

Answer:

volume of a sphere is ⁴/³π r³

⁴/³ ×3.14 × 23³

3 goes into 3.14 , 1.047 times

4 ×1.047×23³

50939.17

Step-by-step explanation:

hope itade sense

8 0

3 years ago