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Yuliya22 [10]
3 years ago
8

A triangle with side lengths 12, 14, 18 is...

Mathematics
1 answer:
liq [111]3 years ago
3 0

Answer: is what

Step-by-step explanation:

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A) Write the sequence of natural numbers which are multiplied by 3 ?
Volgvan

Answer:

a) 3, 6, 9, 12, 15,...,3\cdot n, b) 4, 7, 10, 13, 16,...,3\cdot n +1, c) Both sequences are arithmetic.

Step-by-step explanation:

a) The sequence of natural numbers which are multiplied by 3 are represented by the function f(n) = 3\cdot n, n\in \mathbb{N}. Let see the first five elements of the sequence: 3, 6, 9, 12, 15,...

b) The sequence of natural numbers which are multiplied by 3 and added to 1 is represented by the function f(n) = 3\cdot n + 1, n\in \mathbb{N}. Let see the first five elements of the sequence: 4, 7, 10, 13, 16,...

c) Both sequences since differences between consecutive elements is constant. Let prove this statement:

(i) f(n) = 3\cdot n

\Delta f = f(n+1) -f(n)

\Delta f = 3\cdot (n+1) -3\cdot n

\Delta f = 3

(ii) f(n) = 3\cdot n +1

\Delta f = f(n+1)-f(n)

\Delta f = [3\cdot (n+1)+1]-(3\cdot n+1)

\Delta f = 3

Both sequences are arithmetic.

8 0
2 years ago
Find the value of x.<br> 120°<br> 97°<br> xo<br> 130°<br> 150°<br> X=
Tems11 [23]
Yh can we please stop with all these links they don’t help at all
8 0
3 years ago
Convert 2000 ft./min. to miles per hour round to the nearest 10th
Serggg [28]

Answer:

The conversion of 2000 ft per min into miles per hour is 2.268 miles per hour .

Step-by-step explanation:

Given as :

The speed = s = 2000 ft per min

Now, ∵ 5280 feet = 1 miles

so, 1 feet = \dfrac{1}{5280} miles

∴ 2000 feet =  \dfrac{1}{5280} × 2000 miles

i.e 2000 feet = 0.378 miles

<u>Again</u>

∵ 1 minute = \dfrac{1}{60} hour

So, The speed in miles per hour

s = \dfrac{distance}{time}

∴ s = \frac{0.378}{\frac{1}{60}}

i.e s = 2.268 miles per hour

Hence, The conversion of 2000 ft per min into miles per hour is 2.268 miles per hour . answer

8 0
2 years ago
Urgent Please Help Me!!!!!!!!!!!!
xz_007 [3.2K]

Answer:

If use the area of the frame the area of the photo will be included

Area of frame = (22 + 2 x) * (20 + 2 x) = A

440 + 2 x ( 20 + 22) + 4 x^2 = A

A = 4 x^2 + 84 X + 440

8 0
2 years ago
The table below shows the different times it takes Paula to drive to work each day depending on the rate at which she drives.
faust18 [17]
Speed = distance / time
30 = d / 2.5
30 * 2.5 = d
75 = d

40 = d / 1.875
40 * 1.875 = d
75 = d

50 = d / 1.5
50 * 1.5 = d
75 = d

60 = d / 1.25
60 * 1.25 = d
75 = d

24 = 75 / time
time = 75/24
time = 3.125 hours
7 0
3 years ago
Read 2 more answers
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