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3 years ago

Help me fast please ASAP

Mathematics

2 answers:

Bond [772]3 years ago

8 0

Answer:

see explanation

Step-by-step explanation:

(a)

Record the number of sticks and look for a pattern

1 → 6 sticks

2 → 10 sticks

3 → 14 sticks

There is a difference of + 4 between each pattern, thus add 4 to the previous pattern , that is

4 → 14 + 4 = 18

5 → 18 + 4 = 22

6 → 22 + 4 = 26

That is there are 26 sticks in pattern number 6

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(b)

Multiplying the pattern number (n) by the difference 4 gives

4 × 1 = 4 ← require to + 2 for 6

4 × 2 = 8 ← require to + 2 for 10

4 × 3 = 12 ← require to + 2 for 14

Thus pattern number n would have

sticks = 4n + 2

krok68 [10]3 years ago

7 0

Answer:

6 sticks for the pattern of number 6

3 sticks for the pattern of number n

Step-by-step explanation:

Please check the attached picture.

This is a standard way to create number 6 and number n from sticks.

Hope this helps!

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Find the length of the unknown side. Round your answer to the nearest tenth.

Paraphin [41]

Answer:

The correct option is: 11.5

Step-by-step explanation:

Suppose, the length of the unknown side is $x$

So, here the length of hypotenuse is 14 and the lengths of other two sides are 8 and $x$ .

As the given triangle is right angle triangle, so using Pythagorean theorem, we will get.........

$8^2+x^2= 14^2\\ \\ 64+x^2=196\\ \\ x^2=196-64=132\\ \\ x=\sqrt{132}=11.489...\approx 11.5$

(Rounded to the nearest tenth)

So, the length of the unknown side is 11.5

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3 years ago

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SIZIF [17.4K]

2π289 = 1815.84 is your Answer

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3 years ago

What is a / b (2x - 12) = c / d ; x ?

Alex17521 [72]

we are given

$\frac{a}{b} (2x-12)=\frac{c}{d}$

we can solve for x

We can isolate x

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$(2x-12)=\frac{bc}{ad}$

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3 years ago

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andreev551 [17]

Answer:

Step-by-step explanation:

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It should be clear that

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$sin(tan^{-1} x/4) = x/\sqrt{16+x^{2} }$

sin(2α) = 2 sinα cosα

So,

$1/2 sin(2sin^{-1} x/4) = (1/2)(x/4) * x/\sqrt{16-x^2} = x^{2} /(8\sqrt{16-x^2})$

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3 years ago

James puts $3,500 into a savings account that earns 2.5% simple interest. He does not touch that account for 3 years. What would

miskamm [114]

Given :

James puts $3,500 into a savings account that earns 2.5% simple interest.

He does not touch that account for 3 years.

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The new balance of the account be after 3 years.

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