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3 years ago

The equation of a circle is given below. (x − 5) 2 + ( y + 2 ) 2 = 81 4 (x−5) 2 +(y+2) 2 = 4/81 What is its center? Radius?

Mathematics

1 answer:

Dmitry_Shevchenko [17]3 years ago

6 0

Answer:

The center is (5, -2) and the radius is 9/2

Step-by-step explanation:

The equation of a circle can be written in the form

(x-h) ^2 + (y-k)^2 = r^2

where (h,k) is the center and r is the radius

(x − 5)^2 + ( y + 2 )^2 = 81/4

(x − 5)^2 + ( y - -2 )^2 = (9/2)^2

The center is (5, -2) and the radius is 9/2

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Jenny's mom is 36 years old. If Jenny's great-grandmother is 90 years old, what percent of Jenny's mother's age is Jenny's great

Serjik [45]

Answer:

The age of Jenny's mom is 40 % of age of Jenny's great-grandmother. (Input: 40)

Step-by-step explanation:

The percentage needed is calculated by the following expression:

$x = \frac{n_{M}}{n_{G}}\times 100\,\%$

Where:

$x$ - Percentage of Jenny's mother with respect to Jenny's great-grandmother, measured in percentage.

$n_{M}$ - Age of Jenny's mother, measured in years.

$n_{G}$ - Age of Jenny's great-grandmother, measured in years.

If we know that $n_{M} = 36\,yr$ and $n_{G} = 90\,yr$ , the percentage is:

$x = \frac{36\,yr}{90\,yr} \times 100\,\%$

$x = 40\,\%$

The age of Jenny's mom is 40 % of age of Jenny's great-grandmother.

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3 years ago

Shortly before the 1932 presidential election, a national magazine conducted a telephone survey of voters. Based on the results

Alisiya [41]

Data Gathering would be the correct answer ...

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3 years ago

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Determine if each statement is true or false

sammy [17]

Answer:

true

i hope this work for you

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2 years ago

Why is 25 mg lighter than 25 cg

Mashutka [201]

25 mg is lighter than 25 cg because mg is 0.001 g and cg is 0.01 g :)

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3 years ago

In a sample of 57 temperature readings taken from the freezer of a restaurant, the mean is 29.6 degrees and the population stand

Natalka [10]

Answer:

(29.14 ; 30.06)

Step-by-step explanation:

Given that'

Sample size (n) = 57

Mean (m) = 29.6

Population standard deviation (σ) = 2.7

Confidence interval = 80%

= (1 - 0.8) / 2 = 0.1

Mean ± z * σ/√n

Using the Z probability calculator : Z0. 1 = 1.28

Hence,

29.6 ± 1.28 * (2.7 / √57)

29.6 - (1.28 * 0.3576237) ; 29.6 + (1.28 * 0.3576237)

29.142241664 ; 30.057758336

(29.14 ; 30.06)

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3 years ago