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Fofino [41]
3 years ago
12

...

Mathematics
1 answer:
anyanavicka [17]3 years ago
3 0

Answer:

The hummingbird beats its wings 86 400 times in one hour.

Step-by-step explanation:

There are 60 minutes in an hour. There are 60 seconds in a minute.

1h = 60m

   = 60 × 60s

   = 3600s

1s = 24 times

3600s = 24 × 3600

           = 86 400 times

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Maya is solving the quadratic equation by completing the square.
kvasek [131]

Step-by-step explanation:

factor 4 out of the variable terms, as this helps.

but my approach is simply to define the target and then calculate "backwards".

we want to find

(ax + b)² = a²x² + 2abx + b²

and now we compare with the original equation :

a²x² = 4x²

a² = 4

a = 2

2abx = 16x

2×2×bx = 16x

4b = 16

b = 4

b² = 16, but we have only 3, so we need to subtract 16-3 = 13 from the completed square.

so, our equation is

(2x + 4)² - 13 = 0

(2x + 4)² = 13

2x + 4 = sqrt(13)

2x = sqrt(13) - 4

x = sqrt(13)/2 - 2

6 0
2 years ago
A^2-2ab-6by+ay<br><br> Factor the expression
Angelina_Jolie [31]

Factor a^2−2ab−6by+3ay

a^2−2ab+3ay−6by

=(a−2b)(a+3y)

Answer:

(a−2b)(a+3y)


7 0
4 years ago
A student formed a pattern in which each term is represented by a sum. The first four terms of the pattern are shown below Which
Delicious77 [7]

Answer:

n2

Step-by-step explanation:i did this last year

4 0
3 years ago
Proof that :<br><img src="https://tex.z-dn.net/?f=%20%7Bsin%7D%5E%7B2%7D%20%5Ctheta%20%2B%20%20%7Bcos%7D%5E%7B2%7D%20%5C%3A%5Cth
Arisa [49]

Answer:

Solution given:

Right angled triangle ABC is drawn where <C=\theta

we know that

\displaystyle Sin\theta=\frac{opposite}{hypotenuse} =\frac{AB}{AC}

\displaystyle Cos\theta=\frac{adjacent}{hypotenuse}=\frac{BC}{AC}

Now

left hand side

\displaystyle {sin}^{2} \theta + {cos}^{2} \:\theta

Substituting value

(\frac{AB}{AC})²+(\frac{BC}{AC})²

distributing power

\frac{AB²}{AC²}+\frac{BC²}{AC²}

Taking L.C.M

\displaystyle \frac{AB²+BC²}{AC²}....[I]

In ∆ABC By using Pythagoras law we get

\boxed{\green{\bold{Opposite²+adjacent²=hypotenuse²}}}

AB²+BC²=AC²

Substituting value of AB²+BC² in equation [I]

we get

\displaystyle \frac{AC²}{AC²}

=1

Right hand side

<h3><u>proved</u></h3>

8 0
3 years ago
Read 2 more answers
Find the volume of a cylinder with a height of 7 cm and a radius of 3 cm.
musickatia [10]

Answer:

198 cm³

Step-by-step explanation:

V = π r² h

V = 22/7 × 3² × 7

V = 22/7 × 9 × 7

V = 22 × 9

V = 198 cm³

7 0
3 years ago
Read 2 more answers
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