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anyanavicka [17]
3 years ago
10

The perimeter of a triangle is 27.1 feet. The sides of the triangle measure 9.8 feet, 10.9, and x feet

Mathematics
1 answer:
Novay_Z [31]3 years ago
5 0

Answer:

x = 6.4 feet.

Step-by-step explanation:

If a triangle has side lengths a, b, and c then its perimeter (P) will be given by ( a + b + c ).

Now, in this problem, the perimeter of a triangle is given to be 27.1 feet,

And its sides are 9.8 feet, 10.9 feet, and x feet.

Therefore, 27.1 = ( 9.8 + 10.9 + x )

⇒ 27.1 = 20.7 + x

⇒ x = 6.4 feet (Answer)

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Marina CMI [18]
The solution to your problem is as follows:

Given: 
P₀ = 5,642×10^6 people, 
i = 1.3% = 0.013 per year, 
n = 2020 - 1994 = 26 years, 

We get: 
<span>
Pn = P₀ e^(i.n) </span>
. . .= 5,642×10^6×e^(0.013×26) 
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Therefore, the </span>the world's predicted population in the year 2020 is <span>7,911×10^6 people.


I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!</span>
5 0
3 years ago
The smallest object visible with your eyes is similar to the width of a piece of hair, which is 1×10−4 meters wide. Using an opt
Sloan [31]

Answer:

B. 5\times10^{2}

Step-by-step explanation:

We are told that the smallest object visible with our eyes is similar to the width of a piece of hair, which is 1\times 10^{-4} meters wide.

Using an optical microscope, we can see items up to 2\times 10^{-7} meters wide.

To find the objects we can see with our eyes are how much larger than the objects we can see with an optical microscope, we can set an equation as:

\frac{\text{The width of the object we can see with our eyes}}{\text{The width of the objects we can see with microscope}}=\frac{1*10^{-4}}{2*10^{-7}}

Using the exponent rule of quotient \frac{a^m}{a^n}=a^{m-n} we will get,

\frac{\text{The width of the object we can see with our eyes}}{\text{The width of the objects we can see with microscope}}=\frac{1}{2}*10^{-4-(-7)}

\frac{\text{The width of the object we can see with our eyes}}{\text{The width of the objects we can see with microscope}}=0.5*10^{-4+7}

\frac{\text{The width of the object we can see with our eyes}}{\text{The width of the objects we can see with microscope}}=0.5*10^{3}

\frac{\text{The width of the object we can see with our eyes}}{\text{The width of the objects we can see with microscope}}=0.5*10\times 10^{3-1}

\text{The object we can see with our eyes}=5\times10^{2}*\text{The objects we can see with microscope}

Therefore, the objects we can see with our eyes are 5\times10^{2} times larger than the objects we can see with an optical microscope and option B is the correct choice.

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