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Travka [436]
3 years ago
7

The length of each side of an equilateral triangle is increased by 5 inches , so the perimeter is now 60 inches . Write and solv

e an equation to find the original length of each side of the equilateral triangle
Mathematics
1 answer:
Kitty [74]3 years ago
3 0

Answer:

15 inches

Step-by-step explanation:

Call the original side length x

This makes the new length x+5

The perimeter is the sum of the length of the sides. So for the new shape this is 3(x+5)=60

This can be solved in the following way:

x+5=20

x=15

So the original side lengths were 15 inches.

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Which of the following is an example of why irrational numbers are not closed under addition?
Andrej [43]

Answer:

√10 + (-√10) = 0, and 0 is not irrational

^ this one

7 0
2 years ago
What is the sum of the infinite geometric series? Sigma-Summation Underscript n = 1 Overscript 4 EndScripts (negative 144) (one-
Irina18 [472]

The sum of the infinite geometric series is -288.

<h2>Given that</h2>

A finite geometric series with n = 4, a₁ = -144, and r = ½.

<h3>We have to determine</h3>

What is the sum of the infinite geometric series?

<h3>According to the question</h3>

The sum of the infinite is determined by the following formula;

\rm S\infty = \dfrac{a_1(1-r^n)}{1-r}\\\\

A finite geometric series with n = 4, a₁ = -144, and r = ½.

Substitute all the values in the formula;

\rm S\infty = \dfrac{a_1(1-r^n)}{1-r}\\\\S\infty = \dfrac{-144 (1- \dfrac{1}{2}^4)}{1-\dfrac{1}{2}}\\\\S \infty = \dfrac{-144 \times \dfrac{15}{16}}{\dfrac{1}{2}}\\\\S \infty = -270

Therefore,

The sum of the infinite geometric series is,

\rm S = \dfrac{a_1}{1-r}\\\\S=\dfrac{-144}{1-\dfrac{1}{2}}\\\\S = \dfrac{-144}{0.5}\\\\S = -288

Hence, the sum of the infinite geometric series is -288.

To know more about Geometric Series click the link given below.

brainly.com/question/16037289

5 0
3 years ago
3. In the United States, the average amount of meat eaten
Dima020 [189]

If the average amount of meat eaten per person is 261 pounds per year then the average amount of meat eaten per day is 11 ounces.

Given that the average amount of meat eaten per person is 261 pounds per year.

We are required to find the average number of ounces of meat eaten per day.

There are 16 ounces in a pound. So,the average amount of meat eaten per person per year will be 261*16=4176 ounces per year.

Average number of ounces of meat eaten per day is there are 365 days in a year=4176/365=11.44 ounces per day.

Now by rounding it to the nearest ounce we will get 11 ounces.

Hence if the average amount of meat eaten per person is 261 pounds per year then the average amount of meat eaten per day is 11 ounces.

Learn more about average at brainly.com/question/20118982

#SPJ9

5 0
2 years ago
Freeeeeeeeee pointsssssssss​
Iteru [2.4K]

Answer:

thank you so muchhhhhh !!!

4 0
3 years ago
Read 2 more answers
What is 170% of $2250? please help
Ratling [72]
170% of $2250 is $38,250
5 0
3 years ago
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