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3 years ago

There are 12 481 people at a concert.

Mathematics

1 answer:

frozen [14]3 years ago

3 0

Step-by-step explanation:

Number of children= 12481-3575=3575

Fraction of girls present= 1-⅗=⅖

Number of girls present= 3575×⅖=1430

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Help with proving the following

Galina-37 [17]

Hello and Good Morning/Afternoon

Let's take this problem step-by-step:

First step

⇒ consider the fact cotθ = 1 / (tanθ)

$\frac{1+tanx}{1+cotx} =\frac{1+tanx}{1+\frac{1}{tanx} }$

Second step

⇒ form a common denominator for the fraction in the 'denominator'

$\frac{1+tanx}{1+\frac{1}{tanx} } =\frac{1+tanx}{\frac{tanx+1}{tanx} }$

Let's flip over the fraction on the denominator

$\frac{1+tanx}{\frac{tanx+1}{tanx} } =(1+tanx) * \frac{tanx}{1+tanx} =tanx$

And there you go, you have proved the statement by following these steps!

*note, I used 'x' because the equation creator didn't have 'θ' symbol

Hope that helps!

#LearnwithBrainly

4 0

2 years ago

Find two positive numbers whose product is 81 and whose sum is a minimum.

hammer [34]

Ab=81, a=81/b

s=a+b using a from above in this we get:

s(b)=81/b +b

s(b)=(81+b^2)/b

ds/db=(2b*b-81-b^2)/b^2

ds/db=(2b^2-81-b^2)/b^2

ds/db=(b^2-81)/b^2

d2s/db2=(2b^3-2b^3+81)/b^4

d2s/db2=81/b^4 since b is positive we know that the acceleration is positive so that when ds/db=0 it is a minimum for s(b)

ds/db=0 only when b^2-81=0, b^2=81, b=9

The two positive numbers are 9 and 9.

3 0

3 years ago

What are the solutions of the equation x4 + 3x2 + 2 = 0? Use u substitution to solve.

Julli [10]

ANSWER

$x = \: x = \pm \: \sqrt{2} i \: or \: x = \pm \: i$

EXPLANATION

${x}^{4} + 3 {x}^{2} + 2 = 0$

${ ({x}^{2}) }^{2} + 3( {x}^{2}) + 2 = 0$

Let

$u = {x}^{2}$

Then the equation becomes:

${u}^{2} + 3u + 2 = 0$

${u}^{2} + 2u +u + 2 = 0$

Factor:

${u}(u + 2)+ 1(u + 2) = 0$

$(u + 1)(u + 2) = 0$

$u = - 1$

$u = - 2$

This implies that

${x}^{2} = - 1 \implies \: x = \pm \: i$

${x}^{2} = - 2 \implies \: x = \pm \: \sqrt{2} i$

3 0

3 years ago

What's the slant height of a regular pyramid or cone with the height of 15 cm and the base of 12 cm

Zielflug [23.3K]

H = 15cm;
r = 12/2 = 6cm;

s = $\sqrt{ 15^{2} + 6^{2} }$ = 3 $\sqrt{29} cm;$

5 0

2 years ago

Write 4 and 1/4 as a percent

solniwko [45]

Answer:

425%

Step-by-step explanation:

4 can be written as 4.00 in decimal form. 1/4 can be written as 0.25 in decimal form. When changing a decimal into a percent, you move the decimal to the right two times. If we move the decimal point in 4.00 twice we get 400. If we move the decimal point in 0.25 twice we get 25. If we add 400 and 25 together, we get 425. Therefore, the answer is 425%. Hope this helped! :)

3 0

3 years ago