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3 years ago

The radius of the wheel of a bicycle is 14 inches. What is the distance that the bicycle covers after ten rotations? Use

Mathematics

1 answer:

ivolga24 [154]3 years ago

6 0

Distance covered in 1 rotation = circumference of the wheel

= 2 $\pi$ r

= 2 x $\frac{22}{7}$ x 14

= 2 x 22 x 2

= 88 inches

Distance covered in 10 rotations = 88 x 10 = 880 inches

Therefore, the bike covers 880 inches after 10 rotations.

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I need help writing the first 5 terms of the sequence!

Angelina_Jolie [31]

The first five terms of the sequence are 1, 4, 7, 10, 13.

Solution:

Given data:

$a_{1}=1$

$a_{n}=a_{n-1}+3$

General term of the arithmetic sequence.

$a_{n}=a_{n-1}+d$ , where d is the common difference.

d = 3

$a_{n}=a_{n-1}+3$

Put n = 2 in $a_{n}=a_{n-1}+3$ , we get

$a_{2}=a_1+3$

$a_{2}=1+3$

$a_2=4$

Put n = 3 in $a_{n}=a_{n-1}+3$ , we get

$a_{3}=a_2+3$

$a_{3}=4+3$

$a_3=7$

Put n = 4 in $a_{n}=a_{n-1}+3$ , we get

$a_{4}=a_3+3$

$a_{4}=7+3$

$a_4=10$

Put n = 5 in $a_{n}=a_{n-1}+3$ , we get

$a_{5}=a_4+3$

$a_{5}=10+3$

$a_5=13$

The first five terms of the sequence are 1, 4, 7, 10, 13.

3 0

3 years ago

Rae earns $8.40 an hour plus an overtime rate equal to 1(1/2)times her regular pay for each hour worked beyond 40 hours. What ar

Nitella [24]

Answer:

At $8.40 an hour for a 40 hour week the earnings would be $336. With 5 hours overtime the pay would be $12.60 an hour which equals $63 making her earnings a total of $399 for the 45 hour work week. would be Step-by-step explanation:

5 0

3 years ago

The reflection of a Quadrant II point is located in Quadrant I. Assuming no error was made, what kind of reflection occurred?

gizmo_the_mogwai [7]

Answer:

A reflection across the y- axis

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y) → (-x, y)

A point in the second quadrant (- x, y)

Under reflection in the y- axis is (x, y) ← point in first quadrant

3 0

3 years ago

Read 2 more answers

Please HELP ME WITH THIS TY!

LenKa [72]

X=117 degrees
Y = 63 degrees
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7 0

2 years ago

Elana walked 12 miles. then she walked 1/4 that distance. how far did she walk all together. select all that apply.

Nezavi [6.7K]

Answer:

c., d., f

Step-by-step explanation:

"elana walked 12 miles"

That is 12.

"then she walked 1/4 that distance"

That is 1/4 of 12 miles, so it is 1/4 * 12

She walked altogether

12 + 1/4 * 12 = 12 + 3 = 15

She walked altogether 15 miles.

a.12+1/4 = 12.25 which is not 15

b.12×1/4 = 3 which is not 15

c.12+1/4×12 = 12 + 3 = 15 which is correct

d.12(1+ 1/4) = 12(1.25) = 15 which is correct

e.12×3/4 = 9 which is not 15

f.12×5/4 = 15 which is correct

Answer: c., d., f

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3 years ago