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3 years ago

Calculate the area of the given circle.

Mathematics

1 answer:

erma4kov [3.2K]3 years ago

5 0

Answer:

Using the formula for Area of circle_

πr²

putting values_

π = 3.14

r² = (5)² = 25.

Therefore,

3.14 × 25

= 78.5

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The slope of any line perpendicular to AB , where A(0, -3) and B(4, 9) are two points on the line, is m =

rjkz [21]

Are you missing an option? The answer should be -2/3 (I just calculated it numerous times)

5 0

3 years ago

What's the following rotational symmetries of oranges regular hexagon

Semmy [17]

Answer:

rotational symmetry of 60 degrees around the origin - yes

rotational symmetry of 120 degrees around the origin - yes

Step-by-step explanation:

A regular hexagon has 6 congruent angles

the the angles created on the line of symmetry are equal to 60 so the angle of rotational symmetry is 60 degrees.

The regular hexagon, like stated before, has 6 congruent angles so the order of symmetry is 6

Here is a visual from basic-matematics

6 0

2 years ago

Please see attachment

Dafna11 [192]

Answer:

a) The value of absolute minimum value = - 0.3536

b) which is attained at $x = \frac{1}{\sqrt{2} }$

Step-by-step explanation:

Step(i):-

Given function

$f(x) = \frac{-x}{2x^{2} +1}$ ...(i)

Differentiating equation (i) with respective to 'x'

$f^{l} = \frac{2x^{2} +1(-1) - (-x) (4x)}{(2x^{2}+1)^{2} }$ ...(ii)

$f^{l}(x) = \frac{2x^{2}-1}{(2x^{2}+1)^{2} }$

Equating Zero

$f^{l}(x) = \frac{2x^{2}-1}{(2x^{2}+1)^{2} } = 0$

$\frac{2x^{2}-1}{(2x^{2}+1)^{2} } = 0$

$2 x^{2}-1 = 0$

$2 x^{2} = 1$

$x^{2} = \frac{1}{2}$

$x = \frac{-1}{\sqrt{2} } , x = \frac{1}{\sqrt{2} }$

Step(ii):-

Again Differentiating equation (ii) with respective to 'x'

$f^{ll}(x) = \frac{(2x^{2} +1)^{2} (4x) - 2(2x^{2} +1) (4x)(2x^{2}-1) }{(2x^{2}+1)^{4} }$

put

$x = \frac{1}{\sqrt{2} }$

$f^{ll} (x) > 0$

The absolute minimum value at $x = \frac{1}{\sqrt{2} }$

Step(iii):-

The value of absolute minimum value

$f(x) = \frac{-x}{2x^{2} +1}$

$f(\frac{1}{\sqrt{2} } ) = \frac{-\frac{1}{\sqrt{2} } }{2(\frac{1}{\sqrt{2} } )^{2} +1}$

on calculation we get

The value of absolute minimum value = - 0.3536

Final answer:-

a) The value of absolute minimum value = - 0.3536

b) which is attained at $x = \frac{1}{\sqrt{2} }$

3 0

3 years ago

Which of these people had balanced their checkbook correctly. Gary: the balance in his check register is $500 and the balance in

otez555 [7]

Gary should be the correct choice because when you balance their checkbook correctly you should have a balanced or equal amount in both your check register and your bank statement.

Good luck! Please let me know if I have chosen the wrong answer. All though I am very confident in my answer.

7 0

3 years ago

Read 2 more answers

Many fundraisers ask for donations using email and text messages. A paper describes an experiment to investigate whether the pro

blagie [28]

Answer:

b. donations using text message

d. donations using email

Step-by-step explanation:

From the question, it is clear that the people who received these requests were assigned to two groups and these 2 were assigned treatments of if they make donations after either receiving email or text messages after which their respective proportions p1 and p2 are determined.

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3 years ago