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3 years ago

Multiply. Write the answer in simplest form. 5/6 x 2/9

Mathematics

1 answer:

alukav5142 [94]3 years ago

5 0

Answer:

5/27

Step-by-step explanation:

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5. Find the first, fourth, and tenth terms of the arithmetic

Lubov Fominskaja [6]

The first, fourth and tenth terms of the arithmetic sequence is $-6, -\frac{27}{5}$ and $-\frac{21}{5}$

Explanation:

The given rule for the arithmetic sequence is $A(n)=-6+(n-1)(\frac{1}{5} )$

We need to determine the first, fourth and tenth terms of the sequence.

To find the first, fourth and tenth terms, let us substitute $n=1,4,10$ in the general rule for the arithmetic sequence.

To find the first term, substitute $n=1$ in $A(n)=-6+(n-1)(\frac{1}{5} )$ , we get,

$A(1)=-6+(1-1)(\frac{1}{5} )$

$A(1)=-6+(0)(\frac{1}{5} )$

$A(1)=-6$

Thus, the first term of the arithmetic sequence is -6.

To find the fourth term, substitute $n=4$ in $A(n)=-6+(n-1)(\frac{1}{5} )$ , we get,

$A(2)=-6+(4-1)(\frac{1}{5} )$

$A(2)=-6+(3)(\frac{1}{5} )$

$A(2)=\frac{-30+3}{5}$

$A(2)=\frac{-27}{5}$

Thus, the fourth term of the arithmetic sequence is $-\frac{27}{5}$

To find the tenth term, substitute $n=10$ in $A(n)=-6+(n-1)(\frac{1}{5} )$ , we get,

$A(10)=-6+(10-1)(\frac{1}{5} )$

$A(10)=-6+(9)(\frac{1}{5} )$

$A(10)=-6+\frac{9}{5}$

$A(10)=-\frac{21}{5}$

Thus, the tenth term of the arithmetic sequence is $-\frac{21}{5}$

Hence, the first, fourth and tenth terms of the arithmetic sequence is $-6, -\frac{27}{5}$ and $-\frac{21}{5}$

3 0

4 years ago

What’s the Area of the kite?

maria [59]

Answer:

54 m^2

Step-by-step explanation:

Area of a kite is the two diagonals multiplied and then divided by 2.

3+3=6

12+6=18

18(6)=108

108/2=54

Therefore, 54 m^2

I hope this helped and have a good rest of your day!

5 0

3 years ago

(HELPPPPPP)This graph relates the volumes of triangular pyramids with a base area of 12 square inches and their heights. Volumes

aleksklad [387]

Answer:

Step-by-step explanation:

7 0

4 years ago

3.<br>× 4.76<br> 3.36<br>plss help me

arlik [135]

15.9936 if it says to round to the hundredth it would be 15.99

8 0

3 years ago

What is the standard form for 6.57 * 10

IrinaK [193]

Answer:

65.7

Step-by-step explanation:

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7 0

3 years ago