why does the formula for area of a circle make sense

$15000+$720 = $15720

由于 1 美元等于 6.4 人民币，我们可以将 15720 乘以 6.4 得到正确结果：

100568¥

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Answer:

60,000

Step-by-step explanation:

hope this helps x

Step-by-step explanation:

Did you mean :

sin(x + 75°) = sin(15°)

x + 75° = 15°

x = 15° - 75°

x = -60°

Answer:

7-(-5)

Step-by-step explanation:

The other answers are all equal to -2. However, the answer for c is 12 which is the odd one out. Hope this helps :)

Answer:

180000

Step-by-step explanation:

Answer:

Here is the answer and explanation all together

The largest area of an isosceles triangle that is inscribed in a circle of radius 3 units is 3.897 sq. units approx.

To find the maximum of a continuous and twice differentiable function f(x), we can firstly differentiate it with respect to x and equating it to 0 will give us critical points.

Putting those values of x in the second rate of function, if results in negative output, then at that point, there is maxima. If the output is positive then its minima and if its 0, then we will have to find the third derivative (if it exists) and so on.

For this case, we can construct a general circle and a variable isosceles triangle in it.

Let the radius of the circle be 'r' units.

For isosceles triangle inscribed in that circle, its vertex(intersection of two congruent sides) be fixed, and other two vertex are allowed to move equally on both the sides of that first vertex.

Those rest two vertices make a chord in that circle. Let the perpendicular distance from the center be 'd' units of that chord.

Then, by Pythagoras theorem for triangle OBD, we get:

[tex]|OB|^2 = |OD|^2 + |BD|^2\\|BD| = \sqrt{|OB|^2 - |OD|^2}\\|BD| = \sqrt{r^2 - d^2} \: \rm units[/tex]

Thus, as perpendicular from center to a chord bisects it, we get:

[tex]|BC| = |BD| + |DC| = |BD| + |BD| = 2\sqrt{r^2 - d^2}[/tex]

The distance from the first vertex (A) to the mid of the line segment BC is: r - d units.

Thus, area of the considered isosceles triangle is:

[tex]A = f(r,d) = \dfrac{1}{2} \times (r - d) \times 2\sqrt{r^2 - d^2} = (r-d)^{1.5}(r+d)^{0.5}[/tex]

At r = 3 units, we get:

[tex]f(3,d) = g(d) = (3-d)^{1.5}(3+d)^{0.5}[/tex]

Finding the value of 'd' for which the function g(d) becomes maximum will give us the maximum area.

Finding first and second derivative of g(d) with respect to 'd', we get:

[tex]g(d) = (3-d)^{1.5}(3+d)^{0.5}\\g'(d) = -1.5(3-d)^{0.5}(3+d)^{0.5} + 0.5(3+d)^{-0.5}(3-d)^{1.5}\\g''(d) = -1.5[-0.5(3-d)^{-0.5}(3+d)^{0.5}] + 0.5[-0.5(3+d)^{-1.5}(3-d)^{1.5}]\\[/tex]

Putting first rate = 0 to find the critical points, we get:

[tex]g'(d) =- 1.5(3-d)^{0.5}(3+d)^{0.5} + 0.5(3+d)^{-0.5}(3-d)^{1.5} = 0\\3(3-d)^{0.5}(3+d)^{0.5} = (3+d)^{-0.5}(3-d)^{1.5}\\3(3+d) = (3-d)\\9 + 3d = 3 - d\\d = 1.5[/tex]

At d = 1.5,  the second rate of g(d) evaluates to:

[tex]g''(1.5) = -1.5[-0.5(3-1.5)^{-0.5}(3+1.5)^{0.5}] + 0.5[-0.5(3+1.5)^{-1.5}(3-1.5)^{1.5}]\\g''(5) = 0.75(1.5)^{1.5}(4.5)^{0.5} -0.25(4.5)^{-1.5}(1.5)^{1.5}\\g''(5) =[/tex]

The area of the isosceles triangle is maximum, and is evaluated as:

[tex]A_{max} = f(3,1.5) = g(1.5) = (3-1.5)^{1.5}(3+1.5)^{0.5} \approx 3.897 \: \rm unit^2[/tex]

Thus, the largest area of an isosceles triangle that is inscribed in a circle of radius 3 units is 3.897 sq. units approx.

Learn more about maximum of a function here:

https://brainly.com/question/13333267

Answer:

x=1.1

Step-by-step explanation:

5 (2x-1)=6

10x-5=6

10x=6+5

10x=11

x=11/10

x=1.1

Answer:

Exact form

[tex]x=\frac{11}{10}[/tex]

Decimal Form

x=1.1

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

It is not being multiplyed evenly on both sides with each other

Step-by-step explanation:

x = 7

3 + 4x = 5x - 4

3 + 4(7) = 5(7) - 4

3 + 28 = 35 - 4

31 = 31

Option C

The equations having the solutions 7 are 65−2x=6x+9 and 3+4x=5x−4. the correct options are A and C.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that we have to check all the equations having solution 7.

Checking option A,

65−2x=6x+9

65 - ( 2 x 7 ) = ( 6 x 7 ) + 9

51 = 51

Checking option B,

x²+1=8x−5

(7²) + 1 = ( 8 x 7 ) - 5

50≠ 51

Checking option C,

3 + 4x = 5x - 4

3 + 4(7) = 5(7) - 4

3 + 28 = 35 - 4

31 = 31

Checking option D,

9 - x = 14x

9 - 7 = 14 x 7

2≠ 98

Therefore, the equations having the solutions 7 are 65−2x=6x+9 and 3+4x=5x−4. the correct options are A and C.

To know more about an expression follow

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Answer:

C. a = 3/2b

Step-by-step explanation:

7a - 2b = 5a + b

7a = 5a + 3b

7a - 5a = 3b

2a = 3b

a = 3/2b

Answer:

C. a = 3/2b

Step-by-step explanation:

7a - 2b = 5a + b

7a = 5a + 3b

7a - 5a = 3b

2a = 3b

a = 3/2b

Answer:

Dont know

Dont know

Dont know

Dont know dont know dont knowwwwwwwwwwwwwww

Answer:

-2

WORK

f(x) = 3x + 2

f(x) = -4

-4 = 3x + 2

-4 = 3x + 2

-2

-6 = 3x

-6/3 = -2

Answer:

1

Step-by-step explanation:

i think i could be wrong

Answer

4 pairs of jeans  by shirts instead

Step-by-step explanation:

Answer:

I think its Factor

Step-by-step explanation: (x-4) (x+1)

And for the equation x=4,-1

Answer:

Yes they are similar yes I think there is a ratio in which one is larger

Step-by-step explanation:

I hope this help

Answer:

x = 10, y = 20

Step-by-step explanation:

Because two sides of the rightmost triangle are congruent, the base angles would follow suit. This means 5x - 10 = 3x + 10. Simplifying this we get:

2x = 20

x = 10

Next, in the other triangle, we can say the same thing, the base angles would be congruent. From this we can say that the other base angle is 4y. Using the exterior angle theorem, we can say that the two angles with x terms add to 4y. This means 3x + 10 + 5x - 10 is 4y. We already know x is 10, so substituting that in we get:

80 = 4y

y = 20

It's given that WXYZ is a parallelogram. In a parallelogram, the adjacent angles sum up to 180°. Here, 2u - 2 & 3u + 12 together make 180° because they are adjacent angles.

2u - 2 + 3u + 12 = 180

2u + 3u - 2 + 12 = 180

5u + 10 = 180

5u = 170

u = 170/5

u = 34

_______

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

Answer:

x=1, y=6

Step-by-step explanation:

Answer:

4.712 radians

Step-by-step explanation:

Answer:

73.33333 Yards = 74 Yards

Step-by-step explanation:

1 yard = 3 feet

220 ft * 1 yard / 3 ft

73.33333 = 74 yd

Step-by-step explanation:

the other answer is essentially correct but wrong for rounding.

again, 1 yd = 3 ft

220/3 = 73.3333... yd

rounded to the nearest tenth this is

73.3 yd

C. Brooke finished in 115 minutes, so she was faster.

Answer:

Y=2x+2

Step-by-step explanation:

The slope-intercept equation of a line :

y = m x + c

Here

m  =  slope  c = y

-intercept

Therefore, the required equation is:

y = 2 xc

Putting the point  

( 1 , 4 )

in it as it lies on line, we get:

4 = 2 + c

Therefore

c = 2

So

y = 2 x + 2

is the required equation.

Answer:

a) 75

b) 360 students

c) 56 ; 57 ; 58

d) 134 inches

e) 27°

Step-by-step explanation:

a)

[tex]5x = 375 \\ x = \frac{375}{5} \\ x = 75[/tex]

b)

[tex] \frac{x}{3} = 120 \\ x = 120 \times 3 \\ x = 360[/tex]

c)

[tex]x + x + 1 + x + 2 = 171 \\ 3x = 168 \\ x = 56 \\ (x + 1 = 57) \\ (x + 2 = 58)[/tex]

d)

[tex]2x + 2 \times 70 = 408 \\ 2x = 408 - 140 \\ x = \frac{268}{2} \\ x = 134[/tex]

e)

[tex]180 = 90 + 63 + x \\ x = 180 - 90 - 63 \\ x = 27[/tex]

Answer:

oh! thanks for points

but this is yr question or what????

Answer:

20

Step-by-step explanation:

because it would stay the same

Answer:

24 - 27 = -3

and if you meant 2/4 - 2/7 in scientic notation:

2/4 - 2/7 = 3/14

HOPE THIS HELPS