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2 years ago

Find the geometric mean of the pair of numbers

Mathematics

1 answer:

Svetach [21]2 years ago

4 0

Answer: a. 55

Step-by-step explanation:

The formula to find the geometeric mean between two numbers a and b is given by :-

$G.M. =\sqrt{ab}$

The given numbers are : 275 and 11

The geometric mean of 275 and 11 is given by :-

$G.M.=\sqrt{275\times11}\\\\\Rightarrow\ G.M. =\sqrt{3025}\\\\\Rightarrow\ G.M.=\sqrt{55\times55}\\\\\Rightarrow\ G.M.=\sqrt{55^2}\\\\\Rightarrow\ G.M.=55$

Hence, the geometric mean of 275 and 11 is 55.

So , the correct option is a. 55 .

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A thin metal plate, located in the xy-plane, has temperature T(x, y) at the point (x, y). Sketch some level curves (isothermals)

Sophie [7]

Answer:

Step-by-step explanation:

Given that:

$T(x,y) = \dfrac{100}{1+x^2+y^2}$

This implies that the level curves of a function(f) of two variables relates with the curves with equation f(x,y) = c

here c is the constant.

$c = \dfrac{100}{1+x^2+2y^2} \ \ \--- (1)$

By cross multiply

$c({1+x^2+2y^2}) = 100$

$1+x^2+2y^2 = \dfrac{100}{c}$

$x^2+2y^2 = \dfrac{100}{c} - 1 \ \ -- (2)$

From (2); let assume that the values of c > 0 likewise c < 100, then the interval can be expressed as 0 < c <100.

Now,

$\dfrac{(x)^2}{\dfrac{100}{c}-1 } + \dfrac{(y)^2}{\dfrac{50}{c}-\dfrac{1}{2} }=1$

This is the equation for the family of the eclipses centred at (0,0) is :

$\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1$

$a^2 = \dfrac{100}{c} -1 \ \ and \ \ b^2 = \dfrac{50}{c}- \dfrac{1}{2}$

Therefore; the level of the curves are all the eclipses with the major axis:

$a = \sqrt{\dfrac{100 }{c}-1}$ and a minor axis $b = \sqrt{\dfrac{50 }{c}-\dfrac{1}{2}}$ which satisfies the values for which 0< c < 100.

The sketch of the level curves can be see in the attached image below.

7 0

3 years ago

Math help pls

VARVARA [1.3K]

Answer:THIS TOOK ME FOREVER BUT WAS WORTH IT

1)1 1/7 times 1 3/4=2

2)8 1/3 times 3/5=5

3)4 3/8 times 1 2/3= 7 7/24

4)5 1/2 times 3 1/3=18 1/3

5)7 1/5 times 2 1/6=10 3/14

6)2/3 times 4/15=8/4

7)2 2/5 times 1 1.4=27 9/25

8)4 2/5 times 10=44

9)26 times 2 1/2=65

10)6 times 3 2/3=22

11)6 1/4 times 1 5/7=10 5/7

12)3 1/3 times 2 3/5=8 2/3

13)4 1/2 times 4 2/3=21

14)5 5/8 times 1 5/9=8 2/4

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

How I divide % percent's to any number

Darina [25.2K]

The steps matter on the size of the number.

4 0

2 years ago

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Two teams are selling candy bars to raise money. Team A has $165 saved and they are selling each candy bar for $2. Team B has $7

devlian [24]

Answer: Each have to sell 91 candy bars to have the same amount of money.

Step-by-step explanation: Suppose x represents the amount of candy bars.

Team A already have $165 and they are selling each candy bar for $2. The mathematical equation that represents the amount of money they have is

A: 165 + 2x

Team B initially has $74 and will sell each candy bar for $3. Then, the mathematical equation representing their amount of money is

B: 74 + 3x

So, to have the same amount of money:

165 + 2x = 74 + 3x

x = 165 - 74

x = 91

<u>Teams A and B will have the same amount of money when each of them </u><u>sell 91 candy bars</u>.

6 0

2 years ago

A building casts a shawdow 48 feet long. At the same time, A 40 feet tall flag pole casts a shadow 9.6 feet long. What is the he

frutty [35]

I believe it's 200 feet tall.

40/9.6 = x/48
Use laws of proportions to solve for x

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2 years ago