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3 years ago

Give the equation for a circle with the given center and radius. Center at (2, -9), radius = 3

Mathematics

1 answer:

olga2289 [7]3 years ago

8 0

Answer:

Step-by-step explanation:

The standard form of the equation of a circle is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (2, - 9) and r = 3, thus

(x - 2)² + (y - (- 9))² = 3², that is

(x - 2)² + (y + 9)² = 9 → B

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What is the probability that you would obtain a sum of 7 or a sum of 11 on the first roll? (Rolling two dice.)

crimeas [40]

Answer:

2/9

Step-by-step explanation:

Total outcome = 36

Sum of 7 = 6

Prob of sum of 7 = 6/36

Sum of 11 = 2

Prob of sum of 11 = 2/36

Prob of sum of 7 or 11 = 6/36+2/36

Prob of sum of 7 or 11 = (6+2)/36

Prob of sum of 7 or 11 = 8/36 = 2/9

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3 years ago

What does 17/10x 10/17 equal

Rasek [7]

$\frac{17}{10}\times\frac{10}{17}=\frac{17\times10}{10\times17}=\frac{170}{170}=1$

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1 year ago

fay makes necklaces to sell at a craft fairs she can make 18 necklaces in for 12 days.in simplest terms, at what rate does she m

wolverine [178]

(18 neclaces)/(12 days) = 1.5 necklaces/day

_____
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4 0

3 years ago

The area of the regular pentagon is 6.9 cm2. What is the perimeter? 2 cm 5 cm 10 cm 20 cm

disa [49]

Given

Area of the regular pentagon is 6.9 cm².

Find out the perimeter of a regular pentagon

To proof

Formula

Area of regular pentagon is

$= \frac{1}{4}\sqrt{5(5+2\sqrt{5})}\ a^{2}$

As given in the question

area of regular pentagon = 6.9 cm²

now equating the area value with the area formula.

$6.9 =\frac{1}{4}\sqrt{5(5+2\sqrt{5})} a^{2}$

Now put

√5 = 2.24 ( approx)

put in the above equation

$\frac{6.9\times 4}{\sqrt{5(5+2\times2.24)}}=a^{2}\\\frac{27.6}{\sqrt{47.4}}=a^{2}\\\frac{27.6}{6.88}=a^{2}$

thus

a² = 4.01

a = √ 4.01

a = 2.0 cm ( approx)

As perimeter represented the sum of all sides.

i.e regular pentagon have five sides of equal length.

Thus

perimeter of the regular pentagon = 5 × side length

= 5 ×2.00

therefore the perimeter of the regular pentagon = 10cm

option c is correct

Hence proved

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3 years ago

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Ksivusya [100]

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