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tigry1 [53]
3 years ago
13

I only need help with #10 :) offering 10 pts

Mathematics
1 answer:
Semenov [28]3 years ago
8 0

Answer:

The length of one side of the square is 3.

Step-by-step explanation:

The perimeter of any given shape is all of the sides added together. So, the perimeter of the triangle is 5x + 4x + 3x. Added together, 12x.

The perimeter of the square is (x + 2)*4. Distributed, it's 4x + 8. Since we know they're equal, set it up like this:

12x = 4x + 8

You then find that x = 1. Plug that into one side of the square, x + 2, to get 3.

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Help me please I do not want a bot answering with a link
ch4aika [34]

\text{Given that,}\\\\\text{First term,}~ a_1= -\dfrac 16\\\\\text{Common ratio,}~ r = 2 \\\\\text{nth term}~ a_n = a_1 r^{n -1} = -\dfrac 16 \left(2^{n-1}\right)

6 0
3 years ago
You start with $1000 and every day you will receive the previous day’s total plus an additional $1000 a day for 30 days. How muc
Roman55 [17]

Answer:

The total earned after 30 days is 465000.

Step-by-step explanation:

The amount of money that I'll recieve can be modelled as a arithmetic sequence in which the next element is related to the prior by a sum of a rate "q". This sequence can be seen below:

{1000, 2000, 3000, ...}

Where q = 1000. In order sum all the "n" terms on a sequence of this kind we can use the following formula:

Sn = (n/2)*(a1 + an)

And to find the term an, we can use the formula:

an = a0 + (n-1)*r

Where n is the position of the number we want to calculate, in this case 30, a0 is the first number on the sequence and r is the rate between consecutive numbers. So the 30th term is:

a30 = 1000 + (30 -1)*1000

a30 = 1000 + 29*1000

a30 = 1000 + 29000 = 30000

And the total obtained is:

s30 = (30/2)*(1000 + 30000) = (30/2)*(31000)

s30 = 930000/2 = 465000

The total earned after 30 days is 465000.

4 0
4 years ago
Brianna has 30 coins in her purse that are quarters and dimes. She has a total of $5.10. How many dimes does Brianna have in her
OleMash [197]

Answer:

51

Step by-step explanation:

Dimes are .10 each so how many ,10's are in 5.10?

4 0
3 years ago
(8x-20) (5x+37) apply angle theorem find x
Studentka2010 [4]
Value of x = 19

(8x - 20) = (5x + 37)
3x = 57
x = 19
7 0
3 years ago
Sophia invests $6,100 in a retirement account with a fixed annual interest rate of 3% compounded monthly. What will the account
yaroslaw [1]

Answer:

FV= $8,739.38

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $6,100

Number of periods (n)= 12*12= 144

Interest rate (i)= 0.03/12= 0.0025

<u>To calculate the future value (FV), we need to use the following formula:</u>

FV= PV*(1 + i)^n

FV= 6,100*(1.0025^144)

FV= $8,739.38

7 0
3 years ago
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