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2 years ago

How do you find the nth term in a sequence?

1 answer:

3 0

sequences can be expressed in terms of the nth term of the sequence. In this case, the nth term = 2n. To find the 1st term, put n = 1 into the formula, to find the 4th term, replace the n's by 4's: 4th term = 2 × 4 = 8.

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The areas of two similar triangles are 72dm2 and 50dm2. The sum of their perimeters is 226dm. What is the perimeter of each of t

astraxan [27]

Answer:

Hence, the perimeter of the triangles are:

P=123.2727 dm

P'=102.7272 dm

Step-by-step explanation:

In two similar triangles:

The ratio of the areas of two triangle is equal to the square of their perimeters.

Let A and A' represents the area of two triangles and P and P' represents their perimeter.

Then they are related as:

$\dfrac{A}{A'}=\dfrac{P^2}{P'^2}$

We are given:

A=72 dm^2 , A'=50 dm^2

and P+P'=226 dm.-----------(1)

i.e. $\dfrac{72}{50}=\dfrac{P^2}{P'^2}\\\\\dfrac{36}{25}=\dfrac{P^2}{P'^2}$

on taking square root on both the side we get:

$\dfrac{P}{P'}=\dfrac{6}{5}\\\\P=\dfrac{6}{5}P'$

Now putting the value of P in equation (1) we obtain:

$\dfrac{6}{5}P'+P'=226\\\\\dfrac{6P'+5\times P'}{5}=226\\\\\dfrac{6P'+5P'}{5}=226\\\\11P'=226\times 5\\\\11P'=1130\\\\P'=\dfrac{1130}{11}=102.7272$

Hence,

P=226-102.7272=123.2727

Hence, the perimeter of the triangles are:

P=123.2727 dm

P'=102.7272 dm

6 0

3 years ago

How much rice will each person have if 3 people shared 1/2 lb of rice equally

svet-max [94.6K]

1/2 = 3/6

Each person would have 1/6 of rice.

6 0

2 years ago

Read 2 more answers

What is the skipping sequence of 90,92,__,__,99,__

DaniilM [7]

that is not possible cause the first 2 indicate that the pattern is counting by 2s

5 0

2 years ago

Round this “0.7660444431”into 4 decimals places!!!!!

ANTONII [103]

Answer:

.7660

Step-by-step explanation:

when you get to 0 at 7660 you round with the number next to it if its 5 or bigger you add a one to the number since 4 isn't greater than or equal to 5 than your numbers stay the same

5 0

2 years ago

3.1 , 3.4 , 3.25 , 3.33 from greatest to least

BlackZzzverrR [31]

Answer:

3.1 3.25 3.33 3.4

Step-by-step explanation:

4 0

3 years ago

How do you find the nth term in a sequence?​

How do you find the nth term in a sequence?