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MrRissso [65]
3 years ago
9

A bicycle wheel has a radius of 13 inches. What is the distance the bicycle will travel after 30 revolutions of the wheel? Use 3

.14 for π . Enter your answer in the box.
Mathematics
1 answer:
SpyIntel [72]3 years ago
7 0
Radius = 13 inches

Circumference of wheel = 1 revolution
2πr = 2 x 3.14 x 13 = 81.64 inches

1 revolution = 81.64 inches
30 revolutions = 2449.2inches
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50 points to the person who answers correctly or just answers
avanturin [10]

From the list of 9 weights we see that

Puppies in range 10-11 = 3

range 12-13 = 4

range 14-15 =  2


The second histogram described is the correct one.

3 0
3 years ago
Angelina deposits $3000 in a savings account on 1 January 2019, earning compound interest of 1.5% per year.
jekas [21]

The interest earned would be $481.62.

The total amount of money in her account would be $16,377.12.

<h3>Determining interest after 10 years </h3>

Interest = future value - amount deposited

$3000 (1.015)^10 = $3,481.62

Interest =  $3,481.62 - $3000 = $481.62

<h3>Determining the future value of the account.</h3>

 Future value of the lump sum = $3000 x (1.015)^11 = $3,533.85

Future value of the annuity = amount deposited x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r = [(1.015)^10 - 1] / 0.015 = 10.702722

Future value =  10.702722 x $1,200 = $12,843.27

Total future value =  $12,843.27 + $3,533.85 = $16,377.12

To learn more about future value, please check: brainly.com/question/18760477

4 0
2 years ago
From a point on a cliff 75 feet above water level, an observer can see a shipThe angle of depression to the ship is d^ How far i
Alexandra [31]

Answer:

52feet

Step-by-step explanation:

The set up will be a right angle

Let the angle of depression be 30°

The height above the sea level will be the opposite

The distance of the ship from the base is x (adjacent)

Using TOA

Tan theta = opposite/adjacent

Tan 30 = 30/x

x = 30/tan 30

x = 30/0.5774

x = 51.96

x ≈ 52 feet to the nearest foot

8 0
2 years ago
Shaun's savings can be modeled by the regression equation y = 6x^2 + 75x+200. Which of the following is the best prediction for
kipiarov [429]

Answer:

Option D

Step-by-step explanation:

The equation to predict the amount saved is

y = 6x ^ 2 + 75x + 200.

Assuming that the variable x represents the saving months, then substitute x = 25 in the quadratic equation and solve for y.

y = 6 (25) ^ 2 +75 (25) +200\\\\y = \$\ 5,825

The answer is the option D  $5,825

3 0
3 years ago
Here is a balanced hanger diagram
suter [353]

Based on the mass of the circle and the triangle, we can find the mass of the square to be<u> 3.33 grams</u>

<h3>Mass of each side of hanger </h3>

Assuming the mass of the square is x, the equation for the first side is:

= (3 x mass of circle) + (2 x mass of triangle) + (6 x mass of square)

= ( 3 x 2) + ( 2 x 4) + ( 6 × x)

= 6 + 8 + 6x

Mass of other side:

=  (2 x mass of circle) + (5 x mass of triangle) + (3 x mass of square)

= ( 2 x 2) + ( 5 x 4) + ( 3 × x)

= 4 + 20 + 3x

<h3>Mass of square </h3>

As both sides are equal, equate both formulas to find x:

6 + 8 + 6x = 4 + 20 + 3x

6x - 3x = 24 - 14

3x = 10

x = 10/3

x = 3.33 grams

In conclusion, each square is 3.33 grams.

Find out more on problems requiring equating at brainly.com/question/20213883.

8 0
3 years ago
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