What is m angle KNL?
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Answer:

706.50 mm^2

Step-by-step explanation:

The formula to find the circumference is 2πr (r : radius)

if the circumference is 30π the the radius is = 15

to find the area we use the following formula :

π*r^2

r = 15 and π is given as 3.14

(3.14)*15^2 = 706.50 mm^2

Answer:

To add or subtract two rational expressions with the same denominator, we simply add or subtract the numerators and write the result over the common denominator.

When the denominators are not the same, we must manipulate them so that they become the same. In other words, you must find a common denominator.

Step-by-step explanation:

Answer:

A. w+2

Step-by-step explanation:

(w²+2w)/ w =

w(w+2)/w = w+2

Answer:

a) w+2

Step-by-step explanation:

A=w^2+2w

width is w

let's consider length is x

area=length×width

so

[tex] {w}^{2} + 2w = xw[/tex]

[tex]x = \frac{ {w}^{2} + 2w}{w} = w + 2[/tex]

Answer:

Salvo en cada library 4.33

Answer:

Monthly deposit= $684.23

Step-by-step explanation:

Giving the following information:

Number of periods= 5*12= 60 months

Interest rate= (0.09/12)= 0.0075

Future value= $51,607.5

To calculate the monthly deposit, we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

A= (51,607.5*0.0075) / [(1.0075^60) - 1]

A= $684.23

Answer:

4.44 cm²

Step-by-step explanation:

If the diagram attached below is required to complete the question,

Applying,

Area of the shaded segment(A) = Area of the sector- area of the triangle

A = (πr²∅/360)-(r²sin∅/)2................ Equation 1

Where r = radius of the circle, ∅ = angle at the center of the circle,π = pie

From the question,

Given: r = 5.4 cm, ∅ = 72°

Constant: π = 3.14

Substitute these values into equation 1

A = (3.14×5.4²×72/360)-(5.4²/2×sin72)

A = 18.31-13.87

A = 4.44 cm²

Answer:

Step-by-step explanation:

-3x - 5 = 16

add 5 to both sides of the equation

-3x = 21

divide both sides by -3

x = -7

---------------------

-4(y - 2) = 12

distribute the -4 to everything in the parentheses

-4y + 8 = 12

subtract 8 from both sides of the equation

-4y = 4

divide both sides of the equation by -4

y = -1

Answer:

7x + 8

Step-by-step explanation:

15x + 10 - 8x + 8

combine like terms

7x + 8

Answer: The answer is 96 minutes (or 1 hr 36 minutes)

Step-by-step explanation:

Since it takes George 16 minutes to sew one pillowcase, it would take him 96 minutes/1 hr 36 minutes to sew 6 pillowcases (16x6 or 16+16+16+16+16+16/6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6)

Answer:

The graph of a tangent function is defined as the ratio if the opposite side of the adjacent side of any angle, specifically a right-angled triangle.

Answer:

-3

Step-by-step explanation:

g(1) = -3x² + x - 1

      = -3([tex]1^{2}[/tex]) + 1 -1

      = -3(1) + 1 - 1

      = -3 +1 -1

g(1) = -3

Just put the 1 everywhere you see an x.

Solve

Answer:

$0.21

Step-by-step explanation:

Divide $0.84 for 4: $0.21

Answer:

0.21

Step-by-step explanation:

well 4 cars

.84 a pack of 4

42=50%

21=25%

0.21 per car

Answer:

t = 100 + 15x

= 140 guests

Step-by-step explanation:

Rent for banquet room = $100

Dinner per guest = $15

Let

x = number of guests

Total cost = Rent for banquet room + (Dinner per guest * number of guests

Total cost, t = 100 + 15x

How many guests attend if the total cost of an event is $2200?

t = 100 + 15x

2,200 = 100 + 15x

2200 - 100 = 15x

2,100 = 15x

x = 2,100/15

x = 140 guests

x = number of guests = 140 guests

Answer:

sin x° = opposite ÷ hypotenuse

Step-by-step explanation:

Cosine is represented by the expression adjacent ÷ opposite and sine is represented by opposite ÷ hypotenuse. Only the fourth option lines up with the functions defined above.

If you are having trouble remembering the ratios for each trig function, you can use the acronym SohCahToa. This stands for:

S - sine

o - opposite

h- hypotenuse

C - cosine

a - adjacent

h - hypotenuse

T - tangent

o - opposite

a - adjacent

Answer:

[tex]\displaystyle 2x\frac{dx}{dt}-3y^2\frac{dy}{dt}+4z^3\frac{dz}{dt}=0[/tex]

Step-by-step explanation:

We want to differentiate the equation:

[tex]x^2-y^3+z^4=1[/tex]

With respect to t, where x, y, and z are functions of t.

So:

[tex]\displaystyle \frac{d}{dt}\left[x^2-y^3+z^4\right]=\frac{d}{dt}\left[1\right][/tex]

Implicitly differentiate on the left. On the right, the derivative of a constant is simply zero. Hence:

[tex]\displaystyle 2x\frac{dx}{dt}-3y^2\frac{dy}{dt}+4z^3\frac{dz}{dt}=0[/tex]

Answer:

Nadia has 22 fish

Step-by-step explanation:

476,092-476,070= 22

Answer:

The answer is 952,152 fishes

Step-by-step explanation:

No. of fish in the city aquarium      476,092

No. of fish Nadia's aquarium has= 476,070 more than

More than= +

476,092+476,070=952,152

Answer:

[tex]\frac{15+6}{10-3}[/tex]

Step-by-step explanation:

Sum of 15 and 6 = 15 + 6

Difference of 10 and 3 = 10 - 3

So, the expression is

[tex]\frac {15 + 6}{10-3}[/tex]

This is the required expression.

Answer:

x = 15.7945

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 33°

Opposite Leg = x

Hypotenuse = 29

Step 2: Find Angle

Answer:

X = 3°

Step-by-step explanation:

Since O and T are parallel you can use alternating lines

7x + 5° = 5x + 11° (alt. angles, O||T)

Move the 5x and the 5°

7x - 5x = 11° - 5°

2x = 6°

Divide both sides by 2

x = 3°

This is assuming 11 is an angle

Answer:

d is the exterior angles hope it helps

the answer is in the picture

Step-by-step explanation:

Volume is the measure of the capacity that an object holds. For example, if a cup can hold 100 ml of water up to the brim, its volume is said to be 100 ml. Volume can also be defined as the amount of space occupied by a 3-dimensional object or solid shape.

Answer:

the amount of space that a substance or object occupies.

basically the volume of a container, like space in a container.

Answer:A

Step-by-step explanation:

Answer:

D is the correct answer or that question

Answer:

the factor from 3 to 5 is

1 2/3

Answer:

A

Step-by-step explanation:

The positive integers are numbers that start at 1 and go on towards the right: are natural numbers 1,2,3,4,5,6,7,...

Answer:

11

Step-by-step explanation:

sqrt(121)

What number times itself gives 121

11*11 = 121

-11 * -11 = 121

Answer:

the square root of 121 is 11

which is the second option

Answer:

42°C

Step-by-step explanation:

32-(-10) =

32 + 10 = 42

Minus a negative makes a positive