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xz_007 [3.2K]
3 years ago
11

18, 26, 34, 42, find the 52nd term and the explicit formula

Mathematics
1 answer:
daser333 [38]3 years ago
3 0
We have 26 - 18 = 8; 34 - 26 = 8; 42 - 34 = 8; (an arithmetic progression)
We use the formula an = a1 + (n-1)x8 (the explicit formula)
So, an = 18 + (n-1)x8 ;
Then, an = 8n + 10;
Finally, a52 =  8x52 + 10 = 426 (the 52nd term);


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tresset_1 [31]
The key to solving this question is first knowing how many cubic cm are in one cubic m:

The ratio is always 1000000 cubic cm in 1 cubic meter.

Knowing this, we calculate how many cubic cm are in 5 cubic meters!

<u>1000000 cubic cm </u>= <u>1 </u><span><u>cubic m</u>
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x = 1000000 cubic cm x 5 cubic m ÷ 1 cubic m
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Hope this helps!
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4 0
3 years ago
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Simplify this number 300mm:9m​
DIA [1.3K]

Answer:

1 : 30

Step-by-step explanation:

300mm:9m​

We need to change the meters to mm

1 meter is 1000 mm

so 9 m is 9000 mm

300mm:9000mm

Divide both sides by 300

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Step-by-step explanation:

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so for this, it would be:

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6 0
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pashok25 [27]

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4 0
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Find the area of the blue sector(s). The diameter of the wheel is 12
Ber [7]

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A=\pi r^{2}


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Now we can use this radius in the equation:


A=\pi (6)^{2}


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Since all of the angles of each section are equal, we can assume that each of the sections has an equal area. There are 5 sections, so we need to divide 36 \pi by 5 to find the area of each section:


\frac{36 \pi}{5} =7.2 \pi


Each section has an area of 7.2\pi units^{2} or, using 3.14 for pi, 7.2*3.14=22.61units^{2}.


Since we are told to find the area of the blue sections, we know that there are 2 sections that are blue. So we need to multiply the area of each section by 2, to find the area of two of the sections:


22.61*2=45.22units^{2}


Therefore, the answer is C) 45.2 units^{2}.


7 0
3 years ago
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