All categories

2 years ago

The diameter of a bicycle wheel is 63 cm. How much distance will it cover in 20revolutions?

Mathematics

1 answer:

alina1380 [7]2 years ago

7 0

Answer:

1256 cm

Step-by-step explanation:

First we must find the perimeter, because the perimeter is equal to 1 revolution.

The perimeter of any circle is Pi(Diameter)

3.14*20

62.8 cm is the perimeter of the bike wheel.

Because the perimeter is basically a revolution, we can multiply 62.8 by 20 to get:

1256 cm

You might be interested in

Can someone please give me the (Answers) to this? ... please ...<br><br> I need help….

Mrac [35]

Answer:

Step-by-step explanation:

5. x/7 = 9/x

x^2 = 63

x= 3 $\sqrt{7}$

6. x/84 = 16/x

x^2 = 1344

x=8 $\sqrt{21}$

7. x/12 = 12/16

16x=144

x=9

8. x/48 = 48/64

64x=2304

x=36

5 0

2 years ago

Read 2 more answers

A ribbon is cut into n parts. The length of each part increases such that they form a geometric progression. SPM Given the lengt

emmainna [20.7K]

Answer:

Step-by-step explanation:

$Let\ say\ r \ the \common\ ratio:\\a)a_4=r^2*a_2=9*a_2\Longrightarrow\ r=3\ (not\ -3\ since\ parts\ are\ positive)\\\\b)\\\displaystyle \sum_{i=1}^{n} a_i =a_1+a_2+a_3+...+a_n\\\\=a_1+a_1*r+a_1*r^2+a_1*r^3+...+a_1*r^{n-1}\\\\=a_1*(1+r+r^2+...+r^{n-1})\\\\=a_1*\dfrac{r^n-1}{r-1} \\\\147620=5*\frac{(3^n-1)}{3-1} \\\\3^n-1=\frac{2*147620}{5} \\\\3^n=59049 \\\\n*ln(3)=ln(59049)\\\\n=\dfrac{ln(59049)}{ln(3)} \\\\n=10\\\\a_n=5*3^{10-1}=5*19683=98415(cm)$

5 0

3 years ago

Right triangle ABC is similar to triangle XYZ. If the length of side AB is 20.8 units, the length of side BC is 36.4 units, and

trasher [3.6K]

Answer:

XY is 4 units.

Step-by-step explanation:

We are given the following in the question:

Right triangle ABC is similar to triangle XYZ.

AB = 20.8 units

BC = 36.4 units

YZ = 7 units

We have to find the length of side XY.

Since the given triangles are similar, they have the following property:

The ratio of corresponding sides of similar triangles are equal.

We can write,

$\displaystyle\frac{AB}{XY}=\frac{BC}{YZ}=\frac{AC}{XZ}$

Putting the given values, we have,

$\displaystyle\frac{AB}{XY}=\frac{BC}{YZ}\\\\\frac{20.8}{XY}=\frac{36.4}{7}\\\\XY = \frac{20.8\times 7}{36.4} =4 \text{ units}$

Thus, the length of XY is 4 units.

8 0

3 years ago

A distance travaled by train in three hours with a constant speed of r miles per hour

True [87]

The distance travelled by the train with constant speed of r miles will be 3r.

<h3><u>What is Speed?</u></h3>

The most crucial scientific notion is measurement. Base or physical fundamental units are used to quantify a wide range of quantifiable quantities.
One such measurable metric is speed, which calculates the ratio between the distance an object travels and the time needed to cover that distance. Let's explore speed in-depth in this session.
The pace at which an object's location changes in any direction. When an object travels the same distance in the same amount of time, it is said to be moving at a uniform speed.
When an object travels a different distance at regular intervals, it is said to have variable speed.

We know the formula of distance linking the speed and the time.

Distance = speed × time

Substituting the given values to get:

Distance = r × 3

Distance = 3r

Know more about Speed with the help of the given link:

brainly.com/question/6280317

#SPJ4

5 0

2 years ago

Angelo is making a rectangular floor for a clubhouse with an area of 84 square feet. The length if each side of the floor is a w

Alexxandr [17]

Answer:

L=1 ft and B=84 ft

L=2 ft and B=42 ft

L=4ft and B=21ft

L=6ft and B=14 ft

L=7ft and B=12ft

L=12 ft and B=7ft

L=14ft and B=6 ft

L=21 ft and B=4 ft

L=42 ft and B=2 ft

L=84 ft and B=1 ft

Step-by-step explanation:

We are given that

Area of rectangular floor=84 square feet

We have to find the possible length and width of for Angelo's clubhouse.

Area of rectangle= $length\times breadth$

Using the formula

Area of rectangular floor for clubhouse=84 square feet

$Length(L)\times breadth(B)=84$

Factor of 84 are

1,2,4,6,7,12,14,21,42,84

Therefore, possible dimension of rectangular floor

$1ft\times 84ft,2ft\times 42ft,4ft\times 21ft,6ft\times 14ft,7ft\times 12ft,12ft\times 7ft,14ft\times 6ft,21ft\times 4ft,42ft\times 2ft,84ft\times 1ft$

L=1 ft and B=84 ft

L=2 ft and B=42 ft

L=4ft and B=21ft

L=6ft and B=14 ft

L=7ft and B=12ft

L=12 ft and B=7ft

L=14ft and B=6 ft

L=21 ft and B=4 ft

L=42 ft and B=2 ft

L=84 ft and B=1 ft

5 0

3 years ago