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Pepsi [2]
3 years ago
13

Find the perimeter of a triangle with sides 11 inches, 5 inches, and 13 inches. Show your work.

Mathematics
1 answer:
Katarina [22]3 years ago
7 0
To find the perimeter, you add up all the sides. 

11 + 5 + 13 = 29

29 inches is the perimeter. 
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What is the value of y in the sequence below?<br> 2,y,18, -54,162,
snow_lady [41]

First, let's check if the sequence is geometric or arithmetric.

If arithmetric, the sequence will have common difference.

<u>A</u><u>r</u><u>i</u><u>t</u><u>h</u><u>m</u><u>e</u><u>t</u><u>r</u><u>i</u><u>c</u>

\displaystyle \large{a_{n + 1} - a_n = d}

d stands for a common difference. Common Difference means that sequences must have same difference after subtracting.

<u>G</u><u>e</u><u>o</u><u>m</u><u>e</u><u>t</u><u>r</u><u>i</u><u>c</u>

\displaystyle \large{ \frac{a_{n + 1}}{a_n}  = r}

r stands for a common ratio.

To find the value of y, you can check the sequence. If we try subtracting the sequences, the differences are different. That means the sequences are not arithmetric. That only leaves the geometric sequence.

Let's check by dividing sequences.

We have:

  • 2,y,18,-54,162,...

Let's check by divide -54 by 18 and 162 by -54. We need to divide more than one so we can prove that the sequence is geometric.

\displaystyle \large{ \frac{ - 54}{18}  = - 3 } \\  \displaystyle \large{ \frac{ 162}{ - 54}  = - 3}

Hence, the sequence is geometric.

Because the common ratio is -3. Let these be the following:

\displaystyle \large{ a_{n + 1} = y } \\  \displaystyle \large{ a_n = 2 } \\  \displaystyle \large{ r =  - 3 }

From the:

\displaystyle \large{ \frac{a_{n + 1}}{a_n}  = r}

Substitute the values in.

\displaystyle \large{ \frac{y}{2}  =  - 3}

Multiply the whole equation by 2 to isolate y.

\displaystyle \large{ \frac{y}{2} \times 2  =  - 3 \times 2} \\  \displaystyle \large{ y =  - 6}

Therefore, the value of y is -6.

7 0
2 years ago
Can someone help with this?! The answer choices are 1, 1.3, 1.45, and 1.9!
Zarrin [17]
The answer is 1.45 ......
7 0
3 years ago
Read 2 more answers
Write the equation of the line with slope =7 and y- intercept= -1​
Aliun [14]

Answer:

y = 7x - 1 is the answer to the question

4 0
3 years ago
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
scoray [572]

Answer: B. x is all real numbers.

Step-by-step explanation: The domain of a graph is how far the x value can go left or right. Because this is a horizontal line, the domain or x could be any value.

5 0
3 years ago
Read 2 more answers
Volume? Correct answers please
goldfiish [28.3K]

Answer:

V = 1385.44

Step-by-step explanation:

The equation for volume is V = π r 2 h! Where V = volume, r = radius <em>(half the diameter)</em>, and h = height. Now lets substitute what we know into this equation!

<em>Since we are giving the diameter (14) we must divide by 2 to find the radius.</em>

                         14 ÷ 2 = 7

Radius = 7

Height = 9

V = ?

Time to plug these values in!

V = π 7^{2} (9)

<em>We have to distribute </em><em>pi to 7 square that term </em><em>and then </em><em>multiply the value by 9</em><em>. </em>

<em />

V = 1385.44

Hope this Helps! :)

<em>Have any questions? Ask below in the comments and I will try my best to answer.</em>

-SGO

7 0
3 years ago
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