PLEASE HELP ME AND HURRY TOO NO LIBKS PLEASE I WILL GIVE BRAINLIEST

3721nm equals how many m

e-lub [12.9K]

Answer:

0.000003721m

Scientific Notation: 3.72*10^-6

Step-by-step explanation:

1nm is 1*10^-6nm

Based on that we find the answer above.

8 0

3 years ago

Regular pentagon<br><br> sides 3.3 cm long

OleMash [197]

3.3 x 5 = 16.5 cm
Happy to Help!

7 0

3 years ago

The sector of a circle shown to the left has its center at point OO. The arc XYZXYZ has length 10.810.8, and the central angle X

BARSIC [14]

Answer: Length of the radius of the sector is 6 units.

Step-by-step explanation:

Since we have given that

Length of an arc = 10.8

Radian of a central angle = 1.8

First we convert radian into degrees,

$1\ radian= 57.295779513\textdegree\\\\1.8\ radians=1.8\times 57.3\textdegree\\\\1.8\ radians=103.14\textdegree$

As we know the formula for "Length of an arc":

$\text{Length of an arc}=\frac{\theta}{360\textdegree}\times 2\pi r\\\\10.8=\frac{103.14}{360\textdegree}\times 2\times \frac{22}{7}\times r\\\\10.8=1.8r\\\\r=\frac{10.8}{1.8}\\\\r=6$

Hence, Length of the radius of the sector is 6 units.

3 0

3 years ago

SOLVING ABSOLUTE VALUE EQUATION

Ratling [72]

Answer:

1. x=27

2. x=11 or x=-7

3. x=4

4. x=1 or $x=\frac{1}{3}$

5. x=12

6. x=11 or x=-1

7. x=8

8. x=3 or x=1

9. $x=\frac{13}{2}$ or x=-4

10.x=7 or x=1

Step-by-step explanation:

For the first 8, the absolute value portion is just substituted in for x, so we can skip some of the repeated work that would occur in these. For the absolute value problems, there are two solutions each. When you remove an absolute value, you have to add a plus or minus to each side and solve for each.

1. $5x+9=144\\5x=135\\x=27$

2. $|3x-6|=27\\3x-6=27\\3x=33\\x=11\\\\3x-6=-27\\3x=-27\\x= -7$

3. $\frac{x}{7-3} =1\\\frac{x}{4} =1\\x=4$

4. $|12x-8|=4\\12x-8=4\\12x=12\\x=1\\\\12x-8=-4\\12x=4\\x=\frac{4}{12} \\\\x=\frac{1}{3}$

5. $\frac{2}{3}x-11=-3\\\frac{2}{3}x=8\\x=\frac{24}{2}\\ x=12$

6. $|2x-10|=12\\2x-10=12\\2x=22\\x=11\\\\2x-10=-12\\2x=-2\\x=-1$

7. $\frac{4x-5}{3} =9\\4x-5=27\\4x=32\\x=8$

8. $|8x-16|=8\\8x-16=8\\8x=24\\x=3\\\\8x-16=-8\\8x=8\\x=1$

9. $|4x-5| +15=36\\|4x-5|=21\\4x-5=21\\4x=26\\x=\frac{26}{4} \\x=\frac{13}{2} \\\\4x-5=-21\\4x=-16\\x=-4$

10. $6|3x-12|-5=49\\6|3x-12|=54\\|3x-12|=9\\3x-12=9\\3x=21\\x=7\\\\3x-12=-9\\3x=3\\x=1$

7 0

3 years ago

The tangent to the circle x^2+y^2=18 is parallel to the tangent x+y=6

liubo4ka [24]

Answer:

y = -x - 6

Step-by-step explanation:

If we are looking for the equation of the line tangent to the circle, we have to find the first derivative of the circle function. If that tangent line is to be parallel to the given tangent line, we need to find the slope of the the given tangent line and make sure the slope of the line we are looking for is the same. First let's find the slope of the given tangent. If the given tangent is x+y=6, then to find the slope, solve for y:

y = -x + 6. So the slope of that line, and also the slope of the tangent we are solving for, is -1. Hold that thought while we find the derivative of the function. Using implicit differentiation, we find the derivative to be:

$2x+2y\frac{dy}{dx}=0$

Solving for the slope (dy/dx) gives us:

$2y\frac{dy}{dx}=-2x$ and

$\frac{dy}{dx}=\frac{-2x}{2y}$ so

$\frac{dy}{dx}=-\frac{x}{y}$

Subbing in the value of the slope we found:

$-1=-\frac{x}{y}$ so

-y = -x or, equivalently,

y = x. Now that we know that y and x are the same value, we can go back to the original circle to find out what they both are by substitution. If y = x, we make the substution:

If $x^2+y^2=18$ , then

$y^2+y^2=18$ and

$2y^2=18$ and

$y^2=9$ so

y = ±3

We will choose the negative root (you'll see why in a second) and sub that in for both y and x since y and x are th same number. Going back to the fact that the slope is -1:

y - (-3) = -1(x - (-3)) simplifies a bit to:

y + 3 = -x - 3 which gives us, in slope-intercept form:

y = -x - 6

That is the equation of the tangent to the circle that is parallel to the given tangent.

If we would have chosen the principle (or positive) root of 3, our equation would have looked like this:

y - 3 = -1(x - 3) and

y = -x + 3 + 3 so

y = -x + 6. Notice that that is the EXACT SAME EQUATION as the given tangent. That's why we have to pick the negative 3 as our root.

Good luck in your calculus class! Make sure you post your questions in here! Many of us LOVE the challenge of calculus!

3 0

3 years ago