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Sauron [17]
3 years ago
8

Fraction or mixed number 0.6

Mathematics
2 answers:
Tom [10]3 years ago
7 0
Think it is a fraction
Ludmilka [50]3 years ago
6 0

Your answer will be \frac{3}{5}.

This is because \frac{6}{10} can be reduced down by factoring.

6 = 2*3

10 = 2*5

Get rid of the 2s and you have \frac{3}{5}

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A cylindrical container has a radius of 3 centimeters and a height of 12 centimeters. The container is filled with water up to t
evablogger [386]

Answer:

volume of empty space = 141.3 cm³

Step-by-step explanation:

volume of empty space = volume of the cylinder - volume of water

First, we need to calculate the volume of the container

volume of a cylinder = πr²h

 where r = radius of the container   and   h is the height of the container

r = 3cm  and h = 12 cm    π is a constant which is ≈ 3.14

volume of a cylinder = πr²h

                                  =3.14 × 3²×12

                                   =3.14×9×12

                                    =339.12 cm³

We will proceed to find the volume of water

since liquid will take the shape of its container,

then volume of water =  πr²h

r is the radius of the container   and    h is the height of the water

r = 3cm    and   h = 7cm      

volume of water =  πr²h

                             = 3.14 ×3²×7

                              =3.14×9×7

                              =197.82 cm³

volume of empty space = volume of the cylinder - volume of water

                                          =339.12 cm³    -    197.82 cm³

                                          = 141.3 cm³

OR

WE CAN SOLVE DIRECTLY

height of empty space = height of container - height of water

                                       = 12 - 7

                                        =5 cm

volume of empty space = πr²h

                                        =3.14×3²×5

                                        =3.14×9×5

                                         =141.3 cm³

volume of empty space = 141.3 cm³

4 0
3 years ago
suppose a triangle has two sides of length 2 and 3 and that the angle between these two sides is 60. what is the length of the t
arlik [135]

Answer:

  √7 ≈ 2.646

Step-by-step explanation:

The law of cosines is applicable. It tells you ...

  c² = a² + b² - 2ab·cos(C) . . . . . where a, b, c are triangle side lengths, and angle C is opposite side c.

Filling in the given information, you have ...

  c² = 2² + 3² - 2·2·3·cos(60°) = 4 + 9 - 12·(1/2) = 7

  c = √7 ≈ 2.646

The length of the third side is √7, about 2.646 units.

3 0
4 years ago
Read 2 more answers
A dilation has center (0, 0). Find the image of each point for the given scale factor.
pshichka [43]

Answer:

A. (−3,5)

Step-by-step explanation:

The rule for dilation by scale factor k is given by:

(x,y)\to (kx,ky)

The given point is P(-3,5) and the scale factor is k=1

We substitute the point and the scale factor into the rule to get:

P(-3,5)\to P'(-3\times1,5\times1)

This gives us:

P(-3,5)\to P'(-3,5)

The correct answer is A

3 0
3 years ago
A motor boat travels 60 miles down a river in 3 hours but takes 5 hours to return upstream. Find the rate of the boat in still w
prohojiy [21]

Step-by-step explanation:

Given that,

A motor boat travels 60 miles down a river in 3 hours but takes 5 hours to return upstream,

We know that,

Speed = distance/time

The rate while moving downstream=\dfrac{60}{3}=20\ mph

The rate while moving upstream =\dfrac{60}{5}=12\ mph

The rate of the boat in still water is the average of these:

v_s=\dfrac{20+12}{2}=16\ mph

The rate of the current is the difference between the boat speed and actual speed = 16 mph - 12 mph = 4 mph

Hence, this is the required solution.

7 0
3 years ago
PLEASE HELP ASAP!!!!!!!!!
Butoxors [25]

Answer:

it’s the last one

8 0
3 years ago
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