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2 years ago

..A tin of paint was 2/3 litres full. Tom used 1/2 of

Mathematics

1 answer:

nordsb [41]2 years ago

5 0

Multiply the amount of paint started with by the amount used:

2/3 x 1/2 = (2 x 1) / (3 x 2) = 2/6 = 1/3

There is 1/3 liter left

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Can you help me solve an infinite geometric sequence

zaharov [31]

A geometric series like

$\displaystyle \sum_{n=1}^\infty \dfrac{1}{\alpha^n}$

Converges if and only if $|\alpha|>1$ . If this is the case, the sum equals

$\displaystyle \sum_{n=1}^\infty \dfrac{1}{\alpha^n} = \dfrac{1}{\alpha-1}$

So, in your case, you have convergence if and only if

$|2+a|>1 \iff 2+a>1 \lor 2+a-1 \lor a$

And if this is the case, the sum equals

$\displaystyle \sum_{n=1}^\infty \dfrac{1}{(2+a)^n} = \dfrac{1}{2+a-1} = \dfrac{1}{a+1}$

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3 years ago

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velikii [3]

Answer:

B.) 4.18 square inches

Step-by-step explanation:

Find the area of the one right triangle and multiply it by two. The formula for the area of a triangle is:

$A=\frac{1}{2} bh$

Insert the values. 1.1 is the base and 3.8 is the height:

$A=\frac{1}{2} *1.1*3.8$

Simplify:

$A=\frac{1*1.1*3.8}{2} \\\\A=\frac{4.18}{2} \\\\A=2.09$

Multiply the area of one triangle by two:

$2.09*2=4.18\\\\A=4.18$

The total area of the shaded figures is $4.18$ $in^2$

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3 years ago

4x9+3-(16÷8) value:46

kenny6666 [7]

Answer:

Step-by-step explanation:

4×9+3-(16÷8)

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