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3 years ago

Which of these polygons are congruent?

Mathematics

2 answers:

inessss [21]3 years ago

6 0

Answer: E and H i believe

Step-by-step explanation:

stira [4]3 years ago

3 0

E and h are congruent!

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What is the area of this shape?

suter [353]

Step-by-step explanation:

There are four quarter circles, each with radius 9 ft. Together, they form a full circle. There are also four squares, each with side length 9 ft.

A = πr² + 4s²

A = π (9 ft)² + 4 (9 ft)²

A ≈ 578.469 ft²

6 0

3 years ago

Solve the following recurrence relation: <br> <img src="https://tex.z-dn.net/?f=A_%7Bn%7D%3Da_%7Bn-1%7D%2Bn%3B%20a_%7B1%7D%20%3D

-Dominant- [34]

By iteratively substituting, we have

$a_n = a_{n-1} + n$

$a_{n-1} = a_{n-2} + (n - 1) \implies a_n = a_{n-2} + n + (n - 1)$

$a_{n-2} = a_{n-3} + (n - 2) \implies a_n = a_{n-3} + n + (n - 1) + (n - 2)$

and the pattern continues down to the first term $a_1=0$ ,

$a_n = a_{n - (n - 1)} + n + (n - 1) + (n - 2) + \cdots + (n - (n - 2))$

$\implies a_n = a_1 + \displaystyle \sum_{k=0}^{n-2} (n - k)$

$\implies a_n = \displaystyle n \sum_{k=0}^{n-2} 1 - \sum_{k=0}^{n-2} k$

Recall the formulas

$\displaystyle \sum_{n=1}^N 1 = N$

$\displaystyle \sum_{n=1}^N n = \frac{N(N+1)}2$

It follows that

$a_n = n (n - 2) - \dfrac{(n-2)(n-1)}2$

$\implies a_n = \dfrac12 n^2 + \dfrac12 n - 1$

$\implies \boxed{a_n = \dfrac{(n+2)(n-1)}2}$

4 0

2 years ago

60 feet of wire is needed for a connection. An 80 meter roll of vire is to be

velikii [3]

answer:

61.712

Step-by-step explanation:

60 feet = 18.288

left wire = 80-18.288 = 61.712

3 0

3 years ago

The low temperatures for 5 days was 5, -2, -11 ,0 and-3.What was the average low temperature for those days

Daniel [21]

Data:
Average (A): ?
Arithmetic mean (A.M) = 5, -2, -11, 0, -3sum of n numbers = 5

Solving:
$A = \frac{AM}{n} = \frac{5+(-2)+(-11)+0+(-3)}{5} = \frac{5-2-11-3}{5} = \frac{\diagup\!\!\!\!3-11-\diagup\!\!\!\!3}{5} = \frac{-11}{5} = - 2.2$

Answer:

<span>The average low temperature of these days is -2.2</span>

3 0

3 years ago

Explain how to determine the number of square feet required to cover your rectangular garden that has a length of 10 feet and a

abruzzese [7]

Answer:

80 feet

Step-by-step explanation:

you would do 8*10 to get the total area so the length *width

8 0

3 years ago

Read 2 more answers