Ratio of boys to girls

8x + 11 - 11 = 35 - 11

8x = 24

x = 24/8

x = 3

check

8 * 3 + 11 = 24 + 11 = 35

Based on the relative frequency and the number of times the experiment is to be performed, the number of times Event A should occur is 10 times.

The relative frequency in this regard is 1/3.

The number of times it will occur can be found as:

= Relative frequency x Number of times event was performed

Solving gives:

= 1/ 3 x 30

= 10 times

Find out more on relative frequency at https://brainly.com/question/3857836.

Answer:

32h=d

Step-by-step explanation:

yea, this is big brain time lol

also edge lol

Answer:

  36.24 cm²

Step-by-step explanation:

The shaded region is the inscribed circle in the isosceles triangle. In order to find its area, we need to know the radius of the circle.

__

One way to find the radius of the circle is to make use of the Angle Bisector theorem. It tells us an angle bisector divides the sides of a triangle proportionately. In the attached figure, that means angle bisector CD divides segment AE in proportion to sides CA and CE.

To make use of this theorem, we need to know the length of side CA. That is the hypotenuse of right triangle AEC, so can be found using the Pythagorean theorem. Isosceles triangle ABC is given as having height AE=10 and base BC = 12.

  CA² = CE² +AE²

  CA² = 6² +10² = 136 . . . . . . . CE is half the base length: 12/2 = 6

  CA = √136 = 2√34

__

Now we can write the proportion using the angle bisector theorem.

  DE/CE = DA/CA

  r/6 = (10 -r)/(2√34)

  r√34 = 3(10 -r) . . . . . . . multiply by 6√34

  r(3 +√34) = 30

  r = 30/(3 +√34)

__

From this, we can find the area of the shaded circle to be ...

  A = πr² = (3.14)(30/(3 +√34))²

  = 3.14·900/(43 +6√34) ≈ 36.2374 . . . cm²

The area of the shaded region is about 36.24 cm².

_____

Additional comment

Using area considerations, the formula for the radius of the inscribed circle in an isosceles triangle with base 'b' and sides 'a' can be found to be ...

  [tex]r=\dfrac{b}{2}\sqrt{\dfrac{2a-b}{2a+b}}[/tex]

For a=√136 and b=12, this becomes ...

  [tex]r=\dfrac{12}{2}\sqrt{\dfrac{2\sqrt{136}-12}{2\sqrt{136}+12}}=6\sqrt{\dfrac{(\sqrt{34}-3)^2}{34-9}}=1.2(\sqrt{34}-3)\approx3.39714[/tex]

This is the same value we found above.

Answer:

268

Step-by-step explanation:

Derivative Rule

On deriving,

Substitute x = 3

Solution:

268

=============================

[tex]\sf \bold{ \rightarrow } \ y = 9x^3 + 4x^2 + x + 3[/tex]

[tex]\sf \bold{ \rightarrow } \ \dfrac{dy}{dx} = \dfrac{d}{dx} ( \ 9x^3 + 4x^2 + x + 3 \ )[/tex]

[tex]| | \ \mathrm{ If \ y = x^n , \ then \ \frac{dy}{dx} = nx^{n-1}} \ | |[/tex]

[tex]\sf derivative \ of \ constant \ is \ always \ 0 \ || \ \sf\dfrac{d}{dx}\left(a\right)=0 \ ||[/tex]

solving step wise

[tex]\sf \bold{ \rightarrow } \ \dfrac{d}{dx} ( 9x^3) + \dfrac{d}{dx}(4x^2) + \dfrac{d}{dx}(x )+ \dfrac{d}{dx}(3 )[/tex]

[tex]\sf \bold{ \rightarrow } \ \sf ( 3(9x^{3-1}) +2(4x^{2-1}) + (1)(x^{1-1} )+ 0[/tex]

[tex]\sf \rightarrow 27x^2+8x+1+0[/tex]

[tex]\sf \rightarrow 27x^2+8x+1[/tex]

when x = 3

[tex]\sf \hookrightarrow 27(3)^2+8(3)+1[/tex]

[tex]\sf \hookrightarrow 243+24+1[/tex]

[tex]\sf \hookrightarrow 268[/tex]

Answer:Its A, Tiffani's prediction is valid. The probability of the next customer ordering a white bib is about 30%.

Step-by-step explanation:Did the K12 quiz

Answer:

8. = 0.1x = -0.12. 8yz. 88. D. – 1.2. = y 2 3

Step-by-step explanation:

Answer:

4.295cm

Step-by-step explanation:

Here,

Circumference = 27cm

We know,

C=2πr

or, 27 = 2×22×r

7

or, 44×r = 27

7

27

or, r = 44

7

or, r = 27×7

44

Therefore, r = 4.295cm

Answer:

Formula for volume of square pyramid:-

V = 1/3 x a^2 x h

Where 'a' is the length of one side of the base, and 'h' is the height.

Plug in our values, given that:

16.6m = side length of base.

9.1m = height of pyramid.

V = 1/3 x a^2 x h

V = 1/3 x 16.6^2 x 9.1

V = 1/3 x 275.56 x 9.1

V = 1/3 x 2507.596

V = 2507.596/3

V = 835.865, which rounds to 835.9 cubic meters.

Answer:

42.67π ft³

Step-by-step explanation:

Given

Formula

Solving

Step-by-step explanation:

Ans of 8

x + 3x + 2x = 180 (sum of all angle of triangle is 180)

6x = 180

x = 60

Ans of 9

(2x-2)+(x+5)+90 = 180

3x+3+90 = 180

3x + 93 = 180

3x = 180-93

x = 87/3

x = 29

Answer:

Ten apples cost 9 dollars

Step-by-step explanation:

C(10) = 9

The input is 10 and the output is 9

You bought 10 apples for 9 dollars

Answer:

The last one

Step-by-step explanation:

10 is a function of C which says that the cost of 10 = 9.

Answer:

-35/91 is the required answer

Hope it helps

make me brainlist

Answer:  3 out of 19  

Step-by-step explanation:

Answer:

P(caramel) = 3/10

P(raspberry) = 1/3

Step-by-step explanation:

Given:

⇒ Total chocolates = 3 + 3 + 4 = 10

[tex]\sf Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ possible \ outcomes}[/tex]

[tex]\sf \implies P(picking \ caramel \ chocolate) = \dfrac{3}{10}[/tex]

If the picked caramel chocolate is NOT replaced then:

[tex]\sf \implies P(picking \ raspberry \ chocolate) = \dfrac39=\dfrac13[/tex]

Answer:

angle 3 = 61

angle 4 = 119

angle 6 = 61

angle 7 = 119

Step-by-step explanation:

there are a few ways you could look at this

first, each angle that is diagonal from eachother is going to be equal so 1 is the same as 3, 2 is the same as 4 etc

also each line going across has to be 180° so if angel 1 was 175 then angle 2 has to be 5 so when you combine them it becomes 180

if you look at the sizes some are bigger than the others, because you're given angle 1 = 61 then all the other small angles would be 61 too, and 180 - 61 = 119 so the all the big ones have to be 119

if this confused u more I'm sorry lol let me know if this helped

Answer:

I believe the answers are a and e.

Step-by-step explanation:

Let me know if you want an explanation.

Hope this helps!!!

Answer/Step-by-step explanation:

Quotient is simply the ratio of the first numerator to the second numerator:

Let's [tex]\frac{x_1}{y}\;and\;\frac{x_2}{y}[/tex] are two fractions in same terms.

Thus, [tex]\frac{x_1}{y}\div\frac{x_2}{y}[/tex] {Divided by a fraction is equal to multiplied by its reciprocal}

=[tex]\frac{x_1}{y}\times\frac{y}{x_2}[/tex]

Quotient is simply the quotient of their numerators.

Example could be:

[tex]\frac{2}{7}\div\frac{3}{7}[/tex]

[tex]\frac{2}{7}\times\frac{7}3}[/tex]

[tex]\frac{2}{3}[/tex]

2 is first numerator and 3 is the second numerator.

~lenvy~

The expression that is equivalent to [tex]Cos(\frac{\pi }{2}+r )[/tex] is [tex]-Sinr[/tex].

Given trigonometric expression is:

[tex]Cos(\frac{\pi }{2}+r )[/tex]

The value of [tex]Cos(\frac{\pi }{2}+\theta )[/tex] is [tex]-Sin\theta[/tex] because [tex]\frac{\pi }{2} +\theta[/tex] lies in the second quadrant and the cosine function is negative in the second quadrant.

So, [tex]Cos(\frac{\pi }{2}+r )= -Sin r[/tex]

The range of sine and cosine functions is the same i.e. [-1,1].

Both the functions are periodic functions with periods 2π.

Hence, the expression that is equivalent to [tex]Cos(\frac{\pi }{2}+r )[/tex] is [tex]-Sinr[/tex].

To get more about trigonometric functions visit:

https://brainly.com/question/2193113

Answer: 12 miles

Step-by-step explanation:

Answer:

V = πr²h

Step-by-step explanation:

Answer:

V = Bh or what the guy above/below me said

Step-by-step explanation:

Answer:

C the number of toothbrushes :)

Step-by-step explanation:

You can show how many were given away each month on a dot plot :)

The others would not make sense with the dot plot :)

Haeva great day!

Please rate and mark brainliest!

Answer:

12

Step-by-step explanation:

Laura makes 14 dollars an hour and it will take her 12 hours to make a total of $168!

Answer: 60% increase

Step-by-step explanation:

First, find how many more people attended this year: 1,520 - 950 = 570.

Now, find what percent of 950 570 is: 950 * x = 570 → x = .6 * 100 = 60% :)

Answer:

I think the answer is B

Step-by-step explanation:

The error which is made by Mel in drawing square in the circle is that thefour chords that ob , chord wx must be a diameter

A square is a 2 dimensional figure having four sides and four angles which are equal to 90°. All sides of square are always equals to each other.

First draw a circle in which we want to draw such square.

Next draw a chord in the circle.

From one end, draw a straight line connecting a point on the circle and end point of the chord in such a way that the line and chord are perpendicular to each other.

Next draw another line also from the end of line formed in second step.

Lastly draw a line from the other end of chord and join it with the line we have drawn lastly.

In this way we will get square in circle.

Learn more about chord at https://brainly.com/question/1869643

#SPJ2

Answer:

Her solution is incorrect. The correct solution for the equation is x=7

Step-by-step explanation:

Sasha solved the equation incorrectly.

The correct way to solve this equation would be:

8x = 56

Divide both sides by 8.

[tex]\frac{8x}{8}= \frac{56}{8}[/tex]

You would get x=7.

This equation has 1 solution.

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

Stay Brainy!

−Kallmekrish

Answer:Rewrite the cartesian equation as a polar equation.

Rewrite the cartesian equation as a polar equation.r

Rewrite the cartesian equation as a polar equation.r2

Rewrite the cartesian equation as a polar equation.r2cos

Rewrite the cartesian equation as a polar equation.r2cos2

Rewrite the cartesian equation as a polar equation.r2cos2(

Rewrite the cartesian equation as a polar equation.r2cos2(θ

Rewrite the cartesian equation as a polar equation.r2cos2(θ)

Rewrite the cartesian equation as a polar equation.r2cos2(θ)−

Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6

Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6r

Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos

Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(

Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ

Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)

Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−

Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−r

Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−rsin

Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−rsin(

Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−rsin(θ

Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−rsin(θ)

Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−rsin(θ)=

Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−rsin(θ)=−

Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−rsin(θ)=−9

Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−rsin(θ)=−9Tap to view steps...

The quadratic function which is represented by the graph of a Parabola fails the Horizontal Line Test thus is not a one to one function. Therefore the inverse is not a function unless with restricted domain.

Edit: Adding the solution below to address update in the comments:

y

=

(

x

+

3

)

2

x

=

(

y

+

3

)

2

±

√

x

=

y

+

3

y

=

−

3

±

√

x

=> inverse relation

Restricting the domain: Recall that the domain and the range of the inverse function are the range and the domain of the original function respectively. The range of the original function in this case is

y

≥

0

, that should be the domain of the inverse function so for the inverse function we take the positive square root as follow:

f

−

1

(

x

)

=

−

3

+

√

x

=> this is the inverse function the domain and the range are:

domain:

x

≥

0

range:

y

≥

−

3

This means we need to restrict the domain of the original function to:

x

≥

−

3

in order for it to have an inverse function.

Answer:

energy

Step-by-step explanation:

Answer:

energy

Step-by-step explanation:

Answer:

y = - 4

Step-by-step explanation:

x = - 2

3x - 2y = 2

substitute x = - 2 into 3x - 2y = 2

3(- 2) - 2y = 2 ← step 1

- 6 - 2y = 2 ( add 6 to both sides ) ← step 2

- 2y = 8 ( divide both sides by - 2 )

y = - 4

Answer:

answer is the butt world