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3 years ago

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a triangle has two sides that have lengths of 8 cm and 14 cm.Which length below would not represent the length of the third side

? A. 7 cm B. 13 cm C. 18 cm D. 22 cm E. 15 cm

1 answer:

anyanavicka [17]3 years ago

4 0

Answer:

hmmm..... let me think. A

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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

2 years ago

Please help it OVER DUE

kotykmax [81]

You know the total amount, 32.00, and the cost of each gallon, 1.60, so you can make an equation using x as the amount of gallons bought.

1.60x = 32.00

Now just divide 32.00 by 1.60

x= 32.00/1.60

x= 20

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3 years ago

Monica [59]

B because it makes sense

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vodomira [7]

Answer:

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Step-by-step explanation:

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coldgirl [10]

703+620≈1320

first you have to round 703 to 700, because it's an estimation, then you can add 700 to 620, and it'll be easier than 703+620.

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3 years ago

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