Find the nth term of this sequence -4 -3 -2 -1 0 ...

A square rotated about its center by 360º maps onto itself at (blank) different angles of rotation. You can reflect a square ont

adell [148]

The answer is invalid to the quetion

6 0

3 years ago

Describe the rule of continuing this sequence 44, 41, 38, 35, 32

Citrus2011 [14]

Answer:

aₙ= 47 -3n

Step-by-step explanation:

44, 41, 38, 35, 32

This is AP with 1st term of 44 and common difference of -3

nth term of this AP:

aₙ= a₁+(n-1)d= 44+(n-1)*(-3)= 44 - 3n+3= 47-3n

aₙ= 47 -3n

4 0

3 years ago

Drag each figure to show if it is similar to the figure shown or why it is not similar.

schepotkina [342]

Answer:

Step-by-step explanation:

Similar figures have the same shape but the same size.

Moving from left to right:

The first figure is similar because it is rotated

The second figure is not similar because of shape

The third figure is not similar because of different ratio the ratio for the figure above is 3/5 or 0.6, while this figure is 12/15 or 0.8

The fourth figure is not similar because of ratio, but it is still a rectangle

The fifth figure is not similar because of shape

The last figure is similar because the ratio is the same with 6/10 or 0.6

5 0

3 years ago

What's 3/4×5/12 in simplest form

SashulF [63]

$\dfrac{3\!\!\!\!\diagup^1}{4}\times\dfrac{5}{12\!\!\!\!\!\diagup_4}=\dfrac{1}{4}\times\dfrac{5}{4}=\dfrac{1\times5}{4\times4}=\large\boxed{\dfrac{5}{16}}$

8 0

4 years ago

And wins a metal in the shape of a circle for finishing a marathon which statements about the metals are true use 3.14 for pi. S

PilotLPTM [1.2K]

Answer:

The true statements are:

C. If the metal has a radius of 2.5 inches then it has an area of 19.625 in.²

D. If the metal has a diameter of 3 inches and it has a circumference of 9.42 inches.

E. If the metal has a circumference of four pi inches then it has an area of four pi square inches

Step-by-step explanation:

Let us revise the rule of circumference and area of a circle

The formula of the circumference of a circle is C = π d, where d is the diameter of the circle OR C = 2πr, where r is the radius of the circle
The formula of the area of a circle is A = πr²
The radius of a circle is equal to half its diameter

A.

∵ The metal has a circumference of 7π inches

∵ C = 2πr

- Equate πd by 7π

∴ πd = 7π

- Divide both sides by π

∴ d = 7 inches not 3.5 inches

∴ A is not true

B.

∵ The metal has a circumference of 3π inches

∵ C = 2πr

- Equate 2πr by 3π

∴ 2πr = 3π

- Divide both sides by π

∴ 2r = 3

- Divide both sides by 2

∴ r = 1.5 inches

∵ A = πr²

∴ A = π(1.5)²

∴ A = 2.25π inches² not 9π inches²

∴ B is not true

C.

∵ The metal has a radius of 2.5 inches

∴ r = 2.5

∵ A = πr²

∵ π = 3.14

∴ A = 3.14(2.5)²

∴ A = 19.625 inches²

∴ If the metal has a radius of 2.5 inches, then its area is 19.625 in.²

∴ C is true

D.

∵ The metal has a diameter of 3 inches

∴ d = 3

∵ C = πd

∵ π = 3.14

∴ C = 3.14(3)

∴ C = 9.42 inches

∴ If the metal has a diameter of 3 inches, then its circumference

is 9.42 inches

∴ D is true

E.

∵ The metal has a circumference of 4π inches

∵ C = 2πr

- Equate 2πr by 4π

∴ 2πr = 4π

- Divide both sides by 2π

∴ r = 2

- Now you can find the area

∵ A = πr²

∴ A = π(2)²

∴ A = 4π

∴ If the metal has a circumference of 4π inches, then its area

is 4π inches²

∴ E is true

The true statements are:

C. If the metal has a radius of 2.5 inches then it has an area of 19.625 in.²

D. If the metal has a diameter of 3 inches and it has a circumference of 9.42 inches.

E. If the metal has a circumference of four pi inches then it has an area of four pi square inches

8 0

3 years ago