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2 years ago

Suppose the radius of a circle is 2 units. What is its circumference?

Mathematics

2 answers:

Verizon [17]2 years ago

5 0

it will be helpful to you

Ainat [17]2 years ago

4 0

Answer:

Step-by-step explanation: 12.57

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Show that cos2x=cosx

PSYCHO15rus [73]

cos (2x) = cos x

2 cos^2 x -1 = cos x using the double angle formula

2 cos ^2 x -cos x -1 =0

factor

(2 cos x+1) ( cos x -1) = 0

using the zero product property

2 cos x+1 =0 cos x -1 =0

2 cos x = -1 cos x =1

cos x = -1/2 cos x=1

taking the arccos of each side

arccos cos x = arccos (-1/2) arccos cos x = arccos 1

x = 120 degrees x=-120 degrees x=0

remember you get 2 values ( 2nd and 3rd quadrant)

these are the principal values

now we need to add 360

x = 120+ 360n x=-120+ 360n x = 0 + 360n where n is an integer

3 0

3 years ago

The graph shows the relationship between the number of pounds of pears purchase and the total cost of the pears.

Katarina [22]

The answer is $1.75 because that’s what the graph shows per pound of pears

6 0

2 years ago

1. What is a perfect square? 2. What is the square root of 4x²? 3. What is the square root of 25? 4. Factor 4x² + 20x + 25.

Ulleksa [173]

Answer:

Step-by-step explanation:

1) A perfect square is a whole number which is a product of a smaller whole number and itself. Examples of perfect squares are

4(2 × 2)

9(3 × 3)

16(4 × 4)

25(5 × 5)

36(6 × 6)

2) Square root of 4x² is 2x(product of square root of 4 and square root of x²)

3) square of 25 is 5

4) 4x² + 20x + 25

The general formula for solving quadratic equations is expressed as

x = [- b ± √(b² - 4ac)]/2a

From the equation given,

a = 4

b = 20

c = 25

Therefore,

x = [- 20 ± √(20² - 4 × 4 × 25)]/2 × 4

x = [- 20 ± √(400 - 400)]/8

x = [- 20 ± 0]/8

x = - 20/8

x = - 2.5

3 0

3 years ago

Which figure could be the result of dilating this rectangle with a scale factor between 0 and 1? On a coordinate plane, a rectan

Leviafan [203]

9514 1404 393

Answer:

(a) On a coordinate plane, a rectangle has points (0, 0), (0, 1), (2, 0), (2, 1)

Step-by-step explanation:

Every point coordinate of the dilated figure will be smaller by the same factor.

Looking at the original (0, 3) coordinate, we find that possible answer choices include ...

A (0, 1) has a scale factor of 1/3

B (0, 4) has a scale factor greater than 1

C (0, 1) has a scale factor of 1/3

D (0, 2) has a scale factor of 2/3

Looking at the rest of the points in the answer selections, we find that the scale factors in choices C and D are not consistent from one point to another (or even within the same point). Those choices must be rejected.

In selection A, the image points are listed out of order, tending to confuse the issue. However, A is the correct choice.

6 0

3 years ago

Read 2 more answers

{y=-x+1<br> {y=4x-14<br> please help me <br> my paper is due today

Temka [501]

$- x + 1 = 4x - 14 \\ - x - 4x = - 14 - 1 \\ - 5x = - 15 \\ x = 3$

Substitute x = 3 in any given equations. I will do in y = - x + 1

$y = - x + 1 \\ y = - 3 + 1 \\ y = - 2$

Therefore the answer is (3,-2)

7 0

2 years ago