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3 years ago

Simplest form of 20/6 divided by 2

Mathematics

2 answers:

nadezda [96]3 years ago

8 0

Answer:

$simplest \: form \: of \: \frac{20}{6} \: is \: \frac{10}{3} \\ so \:dividing \: \frac{10}{3} \div 2 = \\ \frac{10}{3} \ \times \frac{1}{2} \\ which \: is \: \frac{5}{3} \\$

Step-by-step explanation:

hope it helps

Naddik [55]3 years ago

6 0

Answer:

20/6=10/3

Step-by-step explanation:

need thanks................

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A circle has a diameter with endpoints at (6, 5) and (8, 5). Write the equation for the circle.

mario62 [17]

Answer:

$(x-7)^2+(y-5)^2=1$

Step-by-step explanation:

The two things that are required to formulate the equation of the circle is the center coordinate and the radius of the circle!

Center of the circle:

The center of the circle always lies at the midpoint of the endpoints of its diameter: Let's call the endpoints A(6,5) and B(8,5).

Using the midpoint formula we'll get:

$(x_m, y_m) = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

$(x_m, y_m) = \left(\dfrac{6+8}{2},\dfrac{5+5}{2}\right)$

$(x_m, y_m) = (7,5)$

This is the center coordinate of our circle.

Radius:

The radius of the circle is the distance from the center of the circle to any of the endpoints of the diameter (A or B)

We can use the distance formula:

$r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

$r = \sqrt{(x_1-x_m)^2+(y_1-y_m)^2}$

$r = \sqrt{(6-7)^2+(5-5)^2}$

$r = \sqrt{1^2}$

$r = 1$

Equation of the circle:

The equation is written as:

$(x-a)^2+(y-b)^2=r^2$

here, (a,b) are the center points of the circle

in our case this is $(a,b)=(x_m,y_m)=(7,5)$

and r = 1

$(x-7)^2+(y-5)^2=1^2$

$(x-7)^2+(y-5)^2=1$

This is the equation of the circle!

3 0

3 years ago

What is the value of x?

garik1379 [7]

Answer:

Step-by-step explanation:

The angle 30° and 2x are complementary angles.

Two angles are called complementary angles, if their sum is one right angle (90°).

Therefore we have the equation:

30 + 2x = 90 subtract 30 from both sides

2x = 60 divide both sides by 2

x = 30

5 0

3 years ago

Please do correctly! I will mark you Brainliest!

kolbaska11 [484]

Answer:

3(4+√2)

Step-by-step explanation:

Here we need to find the perimeter of the given figure. Here the given figure is made from a triangle and a square. The side lenght of the square is 3. We need to find the hypontenuse of the triangle in order to find Perimeter .

• Using Pythagoras Theorem :-

⇒ h² = p² + b²

⇒ h² = 3² + 3²

⇒ h² = 9 + 9

⇒ h² = 18

⇒ h = √[ 9 × 2 ]

⇒ h = 3√2 .

Therefore the perimeter will be ,

⇒ P = 3√2 + 3 + 3 + 3 + 3

⇒ P = 3√2 + 12

⇒ P = 3( 4 + √2)

<h3>Hence the perimeter of the figure is 3(4+√2) .</h3>

4 0

3 years ago

Laura spent 4/3 of her savings on a new CD which equivalent fraction shows the amount Laura spent? 1/9, 2/8, 1/3, or 2/3

Sholpan [36]

Round 4/3 to the nearest half you should come up with 2/3

7 0

3 years ago

Lucy rolls 2 fair dice and adds the results from each. Work out the probability of getting a total that is a multiple of 5

Sergio039 [100]

Answer:

(1,4) ( 4,1) (2,3) (3,2)

Step-by-step explanation:

Multiples of 5 = 5 and 10

Ways to roll a 5 = (1,4) ( 4,1) (2,3) (3,2)

Ways to roll a 10 = (5,5) (4,6) (6,4)

We have 7 possible outcomes for a multiple of 5...and there are 36 possible outcomes in total

So P (multiple of 5) = 7 / 36

7 0

3 years ago