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LiRa [457]
1 year ago
8

A clock has a diameter of 16 inches. How far does the hour hand travel during 5 hours? Use 3.14 for pi.

Mathematics
1 answer:
Karo-lina-s [1.5K]1 year ago
8 0

Therefore the hour hand travels 40.192in in 5 hours

<h3>
How to calculate the area of a sector</h3>

A sector is said to be a part of a circle made of the arc of the circle along with its two radii.

The formula for calculating the area of a sector is expressed as;

A = r²β/2

where

r is the radius of the circle

β is the angle subtended

Since the the hour hand travel during 5 hours, the subtended angle by the sector will be;

β = 360/5

β = 72 degrees

Given the following parameters

r = 16/2

r = 8in

Substitute into the formula

A = 8²(72π)/360
A = 40.192in

Therefore the hour hand travels 40.192in in 5 hours

Learn more on area of a sector here: brainly.com/question/22761976

#SPJ1

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3 years ago
A rhombus and a square have one and the same side of 6 cm. The area of the rhombus is 4/5 of the area of the square. Find the he
Arada [10]
You will find the area the square and then find out what 4/5 of that area is.

A = bh
     6 cm x 6 cm 
A = 36 square cm

4/5 of 36 square cm
4/5 x 36
28 4/5 square cm

The area of the rhombus is 28 4/5 square cm.  Use this to solve for the height of the rhombus.

A = bh
<u>28 4/5</u> = <u>6 x h</u>
6            6
h = 4 4/5 cm

The height of the rhombus is 4 4/5 cm.
7 0
3 years ago
Cubes and cubes roots <br>27000​
Natasha_Volkova [10]

Answer:

lcm for cuberoot

that is 2*2*2*5*5*5*3*3*3

make pairs of three common numbers and write them as one.

2*5*3=30

ans =30

check 30*30*30=27000

cube

multiply 27000 three times with itself

27000*27000*27000

=19683000000000.0

8 0
3 years ago
Which of the following statements must be true based on the diagram below?(Diagram is not to scale.)FDEO EF is a segment bisecto
8_murik_8 [283]

From the diagram given;

ABCD is a quadrilateral;

Line |EF| bisects the line |AD| and line |CD|,

Thus, from the given options;

LINE |EF| is a segment bisector is the only correct option.

6 0
1 year ago
You randomly pick two numbers from 1 to 9 (including 1 and 9). A number that is chosen once could be chosen again. If at least o
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Assume that you only include whole numbers (1,2,3,4,5,6,7,8,9) and not 3.5 and such
so if 1 is odd and less than 5 then it is
1 or 3, since 5 isn't included
then the other number, to be less than 5 when added,
must be
1+x<5
3+x<5
solve each
1+x<5
subtract 1
x<4
set of answers are 1,2,3

3+x<5
subtract 3
x<2
set of answer is 1
so the possible numbers are
1,2,3
that is 3 numbesr out of 9 so
probability=(total desired outcomes)/(total possible outcomes) so
disred outcomes=3
total possible=9
3/9=1/3
the probabiltiy is 1/3
7 0
3 years ago
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