C(squared)L(squared) + 100v(squared) = 100c(squared)
I have to solve for L

Answers

Answer 1

Answer: first subtract 100v² from both sides to get:

C²L²=100c²-100v²

Then divide both sides by C²:

L²=(100c²-100v²)/C²

Then take the square root of both sides:

L=+ or - the square root of (100c²-100v²)/C²

Answer 2

Answer:

Answer:

L = ±√( (100c² - 100v²) / C² )

Step-by-step explanation:

You're just doing reverse PEMDAS.

So first get all the values correlated with L on one side and the non-L values on the other side using subtraction/addition.

Then remove all coefficient using multiplication/division.

Then take the sqareroot to get rid of the squre on the v.

Remember that taking squareroot gives a ± answer because

(x)² = (-x)²

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The area of a sector of a circle with a radius of 4 centimeters is 2.512 square centimeters. The estimated value of ╥ is 3.14. The measure of the angle defining the sector is

Answers

The equation for the area of a sector of a circle is expressed as the product of pi, square of the radius and the ratio of the angle of the sector and 360 degrees.

Area = πr^2 (α / 360°)

We obtain the angle by manipulating the equation.

α = (Area x 360°) / πr^2
α = (2.512 cm^2 x 360°) / (π x 4^2)
α =35.98°

What is the function doing in the interval -37 poin
Decreasing
Increasing

Answers

Answer:

increasing

Step-by-step explanation:

Assume that the line passes through the point (−2,4) and is parallel to the line through the points ( −4,4) and (−5,−1).find the equation of this line in slope intercept form.

Answers

let m be the slope and b the y-intercept.

m=(y₂-y₁)/(x₂-x₁)

m= (-1-4)/(-5-(-4))

m= 6

y=mx+b

4=6(-4)+b

b=28

y=6x+28

(-2,4)

parallel means the slopes are the same:

4=6(-2)+b

4=-12+b

b=16

y=6x+16

A right triangle is shown. Which angle measure is closest to the value of x ?

A 43.9°
B 44.3°
C 35.7°
D 46.2°

Answers

Answer:

Step-by-step explanation:

From the given right angle triangle,

The unknown side represents the hypotenuse of the right angle triangle.

With m∠x as the reference angle,

the adjacent side of the right angle triangle is 7.8

the opposite side of the right angle triangle is 8

To determine m∠x, we would apply

the Tangent trigonometric ratio.

Tan θ, = opposite side/adjacent side. Therefore,

Tan x = 8/7.8 = 1.026

x = Tan^-1(1.026)

x = 45.7° to the nearest tenth

In the given right triangle the measure of angle x is 45.7°. The correct option is C 45.7°

Trigonometry

From the question, we are to determine the measure which is closest to the value of x

In the diagram,

Opposite = 8

and

Adjacent = 7.8

Using SOH CAH TOA

We can write that

$tan\ (x) = (8)/(7.8 )$

$tan\ (x) = 1.02564$

$x = tan^(-1) (1.02564)$

x = 45.7°

Hence, in the given right triangle the measure of angle x is 45.7°. The correct option is C 45.7°

Here is the Correct question:

A right triangle is shown.

Which angle measure is closest to the value of x ?

A 43.9°

B 44.3°

C 45.7°

D 46.2°

Learn more on Trigonometry here: brainly.com/question/20734777

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Which shows one way to determine the factors of x3 – 12x2 – 2x + 24 by grouping? plzzzzz answerr x(x2 – 12) + 2(x2 – 12) x(x2 – 12) – 2(x2 – 12) x2(x – 12) + 2(x – 12) x2(x – 12) – 2(x – 12)

Answers

Answer:

Step-by-step explanation:

The idea of factoring by grouping is that you don't move anything around. You leave the polynomial in descending order of powers of x and group them together in groups of 2.

$(x^3-12x^2)-(2x+24)=0$

Then you factor out what is common in each set of parenthesis.

$x^2(x-12)-2(x-12)$

You know if factoring by grouping "works" if what's inside both sets of parenthesis is exactly the same. Both of ours are (x - 12), so grouping "worked". Match the factoring above to one of your answers.

Answer:

For anyone else viewing this, the answer is option D.

Step-by-step explanation:

This is my evidence. Please mark me brainliest and have a fantastic day!

Find f(-11/5) if f(n) = 5n + 6.. A) -17. B) 5. C) -6

Answers

$f(n)=5n+6\n\nf\left(-(11)/(5)\right)=?\n\nsubtitute\ n=-(11)/(5)\ to\ the\ equation:\n\nf\left(-(11)/(5)\right)=5\cdot\left(-(11)/(5)\right)+6=-11+6=-5$