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4 years ago

What is the lcm of 9,45,81?

Mathematics

1 answer:

Amiraneli [1.4K]4 years ago

7 0

The answer would be 405.

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If this particular arithmetic sequence, a7=34 and a15=74. What is the value of a21

Ilya [14]

This is an arithmetic sequence, meaning, to get the next term, you simply add some value to the current one, namely the "common difference" "d".

now, we know the 17th term is 34, let's go to the 15term then

34 + d
34 + d + d
34 + d + d + d
34 + d + d + d + d
34 + d + d + d + d + d
34 + d + d + d + d + d + d
34 + d + d + d + d + d + d + d
34 + d + d + d + d + d + d + d + d

now, notice, we got to the 15th term, which is 34 + d + d + d + d + d + d + d + d, or namely 34 + 8d, it just so happen we know is 74, therefore,

$\bf 34+8d=74\implies 8d=40\implies d=\cfrac{40}{8}\implies \boxed{d=5}$

ok, now that we know what the common difference is, let's find the first term in the sequence using the 7th term of 34,

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
n=7\\
d=5\\
a_7=34
\end{cases}
\\\\\\
a_7=a_1+(7-1)5\implies 34=a_1+(7-1)5
\\\\\\
34=a_1+30\implies \boxed{4=a_1}$

and now let's use those 2 found folks, to get the 21st term,

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
a_1=4\\
d=5\\
n=21
\end{cases}
\\\\\\
a_{21}=4+(21-1)5\implies a_{21}=4+100\implies a_{21}=104$

3 0

3 years ago

"In the 45°-45°-90° triangle above, r = 10. Find the other two lengths.

Basile [38]

We are given a right triangle that has angles of 45°-45°-90°. This would indicate that the triangle is an isosceles type. We can use some trigonemetric functions to solve for the other legs. We do as follows:

sin 45 = p / 10

p = 5√2

cos 45 = q /10

q = 5√2

<span>Hope this answers the question. Have a nice day.</span>

5 0

3 years ago

Can someone pls help

MakcuM [25]

when x =1 , y = 3

when x = 3, y =27

27-3 = 24

3-1 = 2

24/2 = 12

rate of change = 12

3 0

4 years ago

Pls help with BOTH questions and make sure to show how you set up the problems!!

vivado [14]

5.) Answer: 0.45

Step-by-step explanation:

There is 1.5 quarts of paint, and 30% is yellow.

30% of 1.5 is 0.45.

6.) Answer: 7.198

Step-by-step explanation:

$499.99 is 100%. We need to find $35.99 off of it in percentage.

499.99/35.99 = 100/x

499.99x = 3599, x = 3599/499.99

x ≈ 7.198

7 0

2 years ago

What are the partial products of 42×5

ale4655 [162]

The partial would be
40x5=200
2x5=10
210
Your just breaking them apart

8 0

3 years ago