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DaniilM [7]
3 years ago
7

examine the following sequence 1,4,9,16,25…why is 36 the next number in the sequence ? because the pattern is

Mathematics
1 answer:
kobusy [5.1K]3 years ago
3 0

Answer:

The pattern is adding by consecutive odds.

Step-by-step explanation:

The first odd you start with is 3:

1 + 3 = 4

4 + 5 = 9

9 + 7 = 16

16 + 9 = 25

25 + 11 = 36

...

Note that each time you add, it is by consecutive odds, meaning that after 36, you are adding 13, then 15, etc.

~

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The fantastic four in 1961

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<u>bonjour</u>

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What are the sine and cosine ratios for a 30°–60°–90° triangle with a hypotenuse of 6, when θ = 60°?
Margaret [11]

Answer:

There are two ways to do this problem algebraically or trigonometrically.

Algebraically/geometrically

The ratios of the sides of a 30/60/90 tri. are x, x√3, 2x (short leg, long leg, hyp). Therefore, if the long leg is 6 'units'. then 6 = x√3. x = 6√3.

The hyp is 2x then the hypotenuse is 2(6√3) = 12√3, rationalizing is 12√3/3 = 4√3

Using Trig.

We can use sinx = y/r = opp/hyp. The long leg of 6 is opposite 60 degrees (pi/3).

Therefore, sin(pi/3) = 6/r =

r = 6/sin(pi/3) = 6/(√3/2) = 12/√3, when you rationalize you get 12√3/3 = 4√3

4 0
2 years ago
You buy a new laptop for $300.
Y_Kistochka [10]

Answer:

$318

Step-by-step explanation:

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6 0
3 years ago
Read 2 more answers
Last week Lisa had gross earning of $441.30. Cathy receives a base salary of $375 and a commision on sales exceeding her quota o
vova2212 [387]

Answer:

4.25%

Step-by-step explanation:

<u>Step 1: Calculate the commission paid</u>

<em>Commission = Gross earning - base salary</em>

<em>Commission = 441.3 - 375</em>

Commission = 66.3

<u>Step 2: Calculate the commission sales</u>

<em>Commission sales = Total sales - quota sales</em>

<em>Commission sales = 6560 - 5000</em>

Commission sales = 1560

<u>Step 3: Calculate the rate of commission</u>

<em>x% of 1560 = 66.3</em>

<em>x% * 1560 = 66.3</em>

<em>x% = 0.0425</em>

x = 4.25%

Therefore, the rate of commission was 4.25%.

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6 0
3 years ago
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