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Andreas93 [3]
3 years ago
8

A Ferris wheel has 20 cars that are equally spaced around the circumference of the wheel. The wheel rotates so that the car at t

he bottom of the ride is replaced by the next car. By how many degrees does the wheel rotate?
The Ferris wheel rotates ______ ° between successive cars being at the bottom.
Mathematics
1 answer:
ss7ja [257]3 years ago
4 0

Answer:

The Ferris wheel rotates 18° between successive cars being at the bottom.

Explanation:

 Angle inside a circle = 360°

 No of cars in a Ferris wheel = 20

 When the bottom of the ride is replaced by the next car, the angle rotated by Ferris wheel is same as the angle between two consecutive cars towards center of Ferris wheel.

  Angle between two consecutive cars of Ferris wheel = 360/20 = 18°

 The Ferris wheel rotates 18° between successive cars being at the bottom.

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A rope that is 245 cm long is cut into three pieces. The ratio of the lengths of the first piece to the second piece is 2:3, and
Olin [163]

Answer:

The length of longest piece is <em>105 cm.</em>

<em></em>

Step-by-step explanation:

<u>Given</u>:

Rope is 245 cm long.

Ratio of lengths of first to second piece = 2:3.

Ratio of lengths of second to third piece = 4:5.

<u>To find:</u>

Length of longest piece = ?

<u>Solution:</u>

We are given the ratio of first and second pieces AND

ratio of second and third pieces.

Common link is second piece.

We need to make the ratio of second piece equal in both the ratio to find the ratio of all three pieces.

2:3

  4:5

Multiply 1st ratio by 4 and 2nd ratio by 3:

Now, the ratio becomes:

8:12 and 12:15

And the ratio of three pieces can be represented as:

<em>8: 12: 15</em>, this ratio is the <em>first piece: second piece: third piece</em>

<em></em>\Rightarrow 8x+12x+15x = 245\\\Rightarrow 35x = 245\\\Rightarrow x = \dfrac{245}{35}\\\Rightarrow x = 7<em></em>

<em></em>

So, the pieces lengths will be

First piece = 8 \times 7 = 56 cm

Second piece = 12 \times 7 = 84 cm

Third piece = 15 \times 7 = 105 cm

So, the length of longest piece is <em>105 cm.</em>

7 0
4 years ago
-y=3 would be y=-3 right?
tankabanditka [31]

Answer:

correct

Step-by-step explanation:

to make y positive, you would divide it by -1. This makes y positive and 3 negative.

3 0
3 years ago
........................
Ulleksa [173]

Answer:

...................... have no end

Step-by-step explanation:

Hope it will help

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7 0
3 years ago
Read 2 more answers
2 1/8 divided by 2 =
muminat
⇒ Solutions 

Make mixed fraction to improper fraction 
= 17/8 + 2/1

Make same denominators 
<span>= ((17 × 1) + (2 × 8)) / (8 × 1) </span>

Simplify 
= (17 + 16) / 8

Simplify (17 + 16) / 8<span> </span>
= 33/8

Mixed Fraction 
= 4 1/8
4 0
4 years ago
Read 2 more answers
A tree casts a shadow that is 20 feet long. the angle of elevation from the end of the shadow to the top of the tree is 66 degre
Dmitriy789 [7]
I believe it is 45 feet. Equation: tan(66)=20/x. Change it to 20 tan(66) in a calculator and that is how you get it.
3 0
4 years ago
Read 2 more answers
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