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3 years ago

a chord is drawn 3 cm away from the centre of a circle of radius 5 cm. calculate the length of the chord

Mathematics

1 answer:

lara [203]3 years ago

7 0

Answer:

8 cm

Step-by-step explanation:

the 3 cm line from the chord to the center of a circle is a leg of a right triangle which perpendicularly bisects the chord into two equal halves

draw the hypotenuse of the right triangle from the center of the circle to the endpoint of the chord. This is a radius measuring 5 cm.

find the missing leg of the right triangle

a^2= c^2- b^2

a^2= 25-9

a^2=16

a=4

this is only the measurement of half the chord. To find the full length of the chord multiply by two

4*2=8 cm

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Answer:

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3 years ago

Last month, he sold 505050 chickens and 303030 ducks for \$550$550dollar sign, 550. This month, he sold 444444 chickens and 3636

Nostrana [21]

Answer: the cost of one chicken is $8

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Step-by-step explanation:

Let x represent the cost of one chicken.

Let y represent the cost of one duck.

Last month, he sold 50 chickens and 30 ducks for $550. It means that

50x + 30y = 550- - - - - - - - - - - 1

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Multiplying equation 1 by 44 and equation 2 by 50, it becomes

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Subtracting, it becomes

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3 0

3 years ago

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Mark wants to fence 4 rectangular gardens, each with a length of 9 1/4 feet and a width of 4 1/2feet. What is the length of fenc

kolbaska11 [484]

Answer:

110 ft

Step-by-step explanation:

The length of fencing is four times the perimeter of one garden.

The formula for the perimeter of a rectangle is

P = 2l + 2w

The total perimeter for all four rectangles is

P = 4× (2l + 2w) = 8l + 8w

Data:

l = 9¼ ft

w = 4½ ft

Calculation:

P = 8l + 8w = 8×9¼ + 8×4½ = 72⁸/₄ + 32⁸/₂ =(72 + 2) + (32 + 4) = 74 + 36 = 110 ft

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3 years ago

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Eva8 [605]

Answer:

Equation C: 5/8x + 2..5 = 3/8x + 1.5 + 1/4x

Step-by-step explanation:

Let us go through each of the equations one by one.

Equation A: $2.3y+2+3.1y=4.3y+1.6+1.1y+0.4$

This simplifies to

$5.4y+2=5.4y+2$

which has infinitely many solutions.

Equation B: $32x+25-21x=10x$

this simplifies to

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$x=-25$

which is exactly one solution.

Equation C: $\frac{5}{8} x+2.5=\frac{3}{8}x+1.5+\frac{1}{4} x$

this simplifies to

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There's no way this is going to be possible; this equation has no solutions.

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this gives

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Thus we see that it is equation C that has no solutions.

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3 years ago

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melisa1 [442]

Answer:

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Step-by-step explanation:

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3 years ago

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a chord is drawn 3 cm away from the centre of a circle of radius 5 cm. calculate the length of the chord​

a chord is drawn 3 cm away from the centre of a circle of radius 5 cm. calculate the length of the chord