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NARA [144]
4 years ago
14

If a = b and the supplementary of

Mathematics
1 answer:
shusha [124]4 years ago
8 0
It all equals ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
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The ratio of the geometric mean and arithmetic mean of two numbers is 3:5, find the ratio of the smaller number to the larger nu
IgorC [24]

Answer:

\frac{1}{9}

Step-by-step explanation:

Let the numbers be x,y, where x>y

The geometric mean is

\sqrt{xy}

The Arithmetic mean is

\frac{x + y}{2}

The ratio of the geometric mean and arithmetic mean of two numbers is 3:5.

\frac{ \sqrt{xy} }{ \frac{x + y}{2} }  =  \frac{3}{5}

We can write the equation;

\sqrt{xy}  = 3

or

xy = 9 -  -  - (2)

l

and

\frac{x + y}{2}  = 5

or

x + y = 10 -  -  - (2)

Make y the subject in equation 2

y = 10 - x -  -  - (3)

Put equation 3 in 1

x(10 - x) = 9

10x -  {x}^{2}  = 9

{x}^{2}  - 10x + 9 = 0

(x - 9)(x - 1) = 0

x =1  \: or \: 9

When x=1, y=10-1=9

When x=9, y=10-9=1

Therefore x=9, and y=1

The ratio of the smaller number to the larger number is

\frac{1}{9}

3 0
3 years ago
What is the length of AC? <br><br> A. 12cm <br><br> B. 10cm <br><br> C. 15 cm<br><br> D. 20 cm
Anna35 [415]
D.20 cm hope this helps
7 0
3 years ago
What is 62 in expended form
Mrrafil [7]
60 plus 2 is the answer  

7 0
3 years ago
Read 2 more answers
A cone has a radius of 5 cm and a height of 9 cm. What is the volume of the cone to the nearest whole number? Use 3.14 for pi.
Katyanochek1 [597]

Answer:

235or 236

Step-by-step explanation:

A cone has a radius of 5 cm

a height of 9 cm

Volume of cone =1/3πr^2h

=1/3×3.14×5×5×9

= 3.14×25×3

=3.14×75

=235.5

=235or 236 is the answer

8 0
3 years ago
Looking for some on this problem
adelina 88 [10]
The correct answer is D
8 0
3 years ago
Read 2 more answers
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