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3 years ago

Calculate the perimeter of this figure to the nearest tenth

Mathematics

1 answer:

Juliette [100K]3 years ago

7 0

Answer:

40.9

Step-by-step explanation:

Perimeter = 8 + 10 + 10 + 4 + 8.9

=> 20 + 4 + 8.9 + 8

=> 32 + 8.9

=> 40.9

This is already in the nearest tenth, so the answer = 40.9

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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;

$\sqrt{xy} = 3$

$xy = 9 - - - (2)$

and

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

$x + y = 10 - - - (2)$

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

3(-0.4n-0.7)=-3.2n-2.58

svlad2 [7]

Answer:

$n=-0.24$

Step-by-step explanation:

$3\left(-0.4n-0.7\right)=-3.2n-2.58$

Use distributive property.

$-1.2n-2.1=-3.2n-2.58$

$-1.2n-2.1+2.1=-3.2n-2.58+2.1$

$-1.2n=-3.2n-0.48$

$-1.2n+3.2n=-3.2n-0.48+3.2n$

$2n=-0.48$

$\frac{2n}{2}=\frac{-0.48}{2}$

$n=-0.24$

3 0

3 years ago

Which proportion is equivalent to a/b = c/d

PilotLPTM [1.2K]

The proportion equal to a/b = c/d is A.) A/C = B/D

We will know if a proportion is equivalent when its cross products are equal.

a/b = c/d where ad = bc

since ad = bc, a/c = b/d

4 0

3 years ago

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Nine times a number decreased by four is at least twenty three

Andru [333]

The answer is any whole number larger than 3

6 0

3 years ago

Divide 45 sweets between two girls in to the given ratio of 4:5

Eva8 [605]

Answer:

Therefore, the two equivalent ratios of 4 : 5 are 8 : 10 and 12 : 15.

Step-by-step explanation:

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3 years ago