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3 years ago

Work out the area of this circle take (pi) to be 3.142 and give your answers to 2 decimal places

Mathematics

1 answer:

antiseptic1488 [7]3 years ago

8 0

Answer:

A = 63.63 m^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2 where r is the radius

r = d/2 = 9/2 = 4.5

A = 3.142 * (4.5)^2

A =63.6255 m^2

Rounding to 2 decimal places

A = 63.63 m^2

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5x – 12y – 17 = 0<br> 1*9(x + 2) - (y + 1) + 3 = 0

valentina_108 [34]

Answer: $x=\frac{12y+17}{5}$

$y=\frac{-5x+17}{-12}$

$x=\frac{y-20}{9}$

y=9x+20

Step-by-step explanation:

5x-12y-17=0 (plus 17 from both sides)

5x-12y=17 (plus 12y from both sides)

5x=12y+17 (divide 5 from everything)

$x=\frac{12y+17}{5}$

5x-12y-17=0 (plus 17 from both sides)

5x-12y=17 (minus 5x from both sides)

-12y=-5x+17 (divide everything by -12)

$y=\frac{-5x+17}{-12}$

1*9(x+2)-(y+1)+3=0 (distribute 9 to x and to 2) (distribute -1 to y and to 1)

1*9x+18-y-1+3=0 (times 9x by 1)

9x+18-y-1+3=0 (combine like terms)

9x-y+20=0 (minus 20 from both sides)

9x-y=-20 (plus y to both sides)

9x=y-20 (divide 9 from both sides)

$x=\frac{y-20}{9}$

1*9(x+2)-(y+1)+3=0 (distribute 9 to x and to 2) (distribute -1 to y and to 1)

1*9x+18-y-1+3=0 (times 9x by 1)

9x+18-y-1+3=0 (combine like terms)

9x-y+20=0 (minus 20 from both sides)

9x-y=-20 (minus 9x from both sides)

-y=-9x-20 (divide -1 from everything)

y=9x+20

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3 years ago

If there are 7 girls and three boys in the class, what percent of the class is boys ?

Ostrovityanka [42]

Answer:

30% 10 people 3 of 10 is 30%

Step-by-step explanation:

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3 years ago

In a game, players roll a 6-sided dice. Each side has dots ranging from 1 dot to 6 dots. For the player to win the prize, a dice

EleoNora [17]

Answer:

1/6 cause there is a 1 in 6 chance each time you roll the die

Step-by-step explanation:

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3 years ago

In 5 - 7 complete sentences, answer all of the following question. •Use this image to respond to the following prompt: •Is the s

Dima020 [189]

Answer:

Step-by-step explanation: it’s 0

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2 years ago

Please help!!<br> Each pair of polygons is similar. Find the value of x.

Simora [160]

Answer in fraction form: x = 55/4

Answer in decimal form: x = 13.75

Both forms are equivalent, but they say it in a slightly different way.

===========================================================

Work Shown:

AC/QY = CD/YW

(x+5)/15 = 5/4

4(x+5) = 15*5

4x+20 = 75

4x = 75-20

4x = 55

x = 55/4

x = 13.75

------------

Explanations:

The first step is possible because the polygons are similar. Similar figures have their corresponding sides be in the same proportion or ratio. Note how side AC has the double red angle (at point A) and a single red angle (point C). The side QY has the same idea in the same order. This is why AC corresponds to QY. The ratio AC/QY is the same as CD/YW.
In the second step, I plugged in the expressions that the diagram shows. This is the substitution property.
On step 3, I cross multiplied. The general format is A/B = C/D cross multiplies to A*D = B*C.

7 0

3 years ago

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