20 people reported enjoying dancing and 11 of them were under 40. What percentage of people who enjoy dancing are under 40 years old?

Answer:

  (c)  -0.9682

Step-by-step explanation:

In quadrant II, the cosine is negative. Solving the given equation for the cosine gives ...

  sin²(A) +cos²(A) = 1

  cos²(A) = 1 -sin²(A)

  cos(A) = -√(1 -sin²(A)) = -√(1 -(1/4)²) = -√(15/16) ≈ -0.9682

_____

The coordinates of a point on the unit circle are (cos(α), sin(α)). The attachment shows the point on the unit circle where sin(A)=1/4 in quadrant II. The x-coordinate is the cosine of the angle, about -0.97.

Answer:

[tex]f(x)=500*(.057)^x[/tex]

Step-by-step explanation:

Answer: perimeter: 40.79

Area: 84

Step-by-step explanation:  

perimeter: (√3² + 6²) + (√1² + 6²) + 7 + 6 +  6 + 9 = 40.79

area: ((9 + 6) x 6) / 2 + ((6 + 7) x 6) / 2) = 45 + 39 = 84

Answer:

Jim travelled 246 Miles.

Step-by-step explanation:

Answer:

9 and 18

Step-by-step explanation:

let the numbers be x and 2x

so that x+2x=27

3x=27

x=9

so the numbers are 9 and 18.

I hope this will help

Answer:

[tex] \\ [/tex]

Step-by-step explanation:

It is given that, the sum of two numbers is 27 and one of the number is 2 times as large as the other.

[tex] \\ [/tex]

Let us assume the one number as x and as state in the question, one of the number is 2 times as large as the other (x) . So, the other number will be 2x .

[tex] \\ [/tex]

Now,

[tex] \\ {\longrightarrow \pmb{\sf {\qquad x + 2x = 27 \:}}} \\ \\[/tex]

Adding like terms we get :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad 3x = 27 \:}}} \\ \\[/tex]

Dividing both sides by 3 we get :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad \frac{3x}{3} = \frac{27}{3} \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\frak {\qquad {x} = {9} \:}}} \\ \\[/tex]

So,

[tex] \\ [/tex]

Now,

[tex] \\ {\longrightarrow \pmb{\frak {\qquad Other \: number = 2x \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\frak {\qquad Other \: number = 2(9) \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\frak {\qquad Other \: number = 18 \:}}} \\ \\[/tex]

Therefore,

Answer:

126 is a term in the sequence.  Please check my assumption on the correct formula.

Step-by-step explanation:

I will assume that n2 + 5 is actually n^2 + 5.

Starting with n=0, use the formula to calculate successive values of n.  The attached table is the result of n from 0 to 22.  At n=11, the result is 126, so 126 is a term in the sequence.

If the expression is actually n2 + 5, calculate the values for y = 2n + 5.  126 would not be a term in this sequence.

The function that represent this exponential decay is given as y = A(0.85)ˣ

An exponential function is in the form:

y = abˣ

Where a is the initial value and b is the multiplication factor.

Given that A is the initial value, there is a decay of 15%, hence:

b = 100% - 15% = 0.85

The function that represent this exponential decay is given as y = A(0.85)ˣ

Find out more on exponential function at: https://brainly.com/question/12940982

Answer:

[tex]m_{perpendicular}[/tex] = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

y + 2x = 2 ( subtract 2x from both sides )

y = - 2x + 2 ← in slope- intercept form

with slope m = - 2

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]

The true statement is that the 6-pack contains 0.130 litres more soda.

He can choose a 6-pack of 0.355-liter cans or a 2-liter bottle.

6 pack of 0.355-liter cans. Therefore, let's establish the following proportion.

1 pack = 0.355 litre can

6 pack = ?

cross multiply

volume of soda = 6 × 0.355 = 2.13 litres

The 6-pack of 0.355-liter cans  contains 2.13 litres of soda.

difference = 2.13 - 2.00 = 0.13 litres

Therefore, the 6-pack contains 0.130 litres more soda

learn more on volume here:  https://brainly.com/question/20887167

720000 liter

[tex]Known:\ a=10\ m,b=9\ m,h=8\ m.[/tex]

[tex]Because:\ V=abh\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (Volume\ caculation\ formula)[/tex]

[tex]Thus:\ V=10\times9\times8=720\ m^3[/tex]

[tex]Because\ 1\ m^3=1000\ L\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (unit\ conversion)[/tex]

[tex]Thus\ 720\ m^3=720000\ L[/tex]

I hope this helps you

:)

Answer:

n = -1.25

Step-by-step explanation:

S(ABCD) = AB × AD

S(ABCD) = 2n × (4n + 5)

S(ABCD) = CD × AD

2n × (4n + 5) = CD × (4n + 5)

n = -1.25

PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)

[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{6}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{4}}}\implies \cfrac{6}{3}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{2}(x-\stackrel{x_1}{4})\implies y = 2x-8[/tex]

Answer:

[tex]\frac{10 \sqrt{3} }{3} = b[/tex]

Step-by-step explanation:

Hi there!

We are given a right triangle (notice the right angle), one angle with a measure of 30° and another with 60°

We are also given that one of the legs (one of the sides that makes up the right angle) is 5

We want to find what b is

This triangle is a special right triangle, a 30-60-90 triangle

In a 30-60-90 triangle, if the hypotenuse (the side opposite from the right angle) is b, the leg that is opposite from the 30° angle is [tex]\frac{b}{2}[/tex], while the leg that is opposite from the angle that is 60° is [tex]\frac{b\sqrt{3} }{2}[/tex]

In this case, we're given that the side opposite from the 60 degree angle is 5, meaning that 5 is equal to [tex]\frac{b\sqrt{3} }{2}[/tex]  

So we can set 5 equal to [tex]\frac{b\sqrt{3} }{2}[/tex], to solve for b:

5=[tex]\frac{a\sqrt{3} }{2}[/tex]

Multiply both sides by 2

5*2=b√3

10=b√3

Now divide both sides by √3

[tex]\frac{10}{\sqrt{3} } =b[/tex]

rationalize the denominator

[tex]\frac{10 * \sqrt{3} }{\sqrt{3} *\sqrt{3} }[/tex] = b

[tex]\frac{10 \sqrt{3} }{\sqrt{9}}[/tex]= b

[tex]\frac{10 \sqrt{3} }{3} = b[/tex]

The answer can be left as that.

Hope this helps!

https://www.perfection-events.com/content/back-basics-coffee-essentials

Since the area 400 gallons will cover, 5520 square feet is less than the area of half a city block which is 45000 square feet, the Newscasters claim is wrong.

The area of the city block is calculated from the product of the dimensions provided:

The city block is in form of a square, hence it's area = side × side

Dimension of city block = 300 feet by 300 feet.

Area of city block = 90000 square feet

Half of area of city block = 45000 square feet

1 gallon covers 13.8 square feet

400 gallons will cover = 400 × 13.8 = 5520 square feet

The area 400 gallons of coffee will cover is less than 45000 square feet.

Therefore, the news caster's claim is wrong.

Learn more about area at: https://brainly.com/question/3948796

Answer:

20

Step-by-step explanation:

I'm not too sure why 22 is there. Triangle = (bh) / 2

90 x 2 = 180. 180 / 9 = 20, therefore, base is 20.

Answer:

First, we must know the formula for the area of a triangle.

A = BH x 1/2

Where 'b' represents the base, and 'h' represents the height.

Multiplying by 1/2 basically means dividing the result of (base x height) by 2.

Now we plug in what we know, given the dimensions shown.

We know that the area is 90 square units.

We also know that the height is 9, so;

A = BH x 1/2

90 = B(9) x 1/2

Solve for B:-

90 = 9b(we reverse b9 because they both serve as the same thing) x 1/2

90 = 9b x 1/2

Dividing by 1/2 also means multiplying by 2, so we multiply 2 to both sides to get rid of 1/2;

*2         *2

180 = 9b

To isolate b(base) we divide by 9 from both sides because the inverse operation of multiplication is division.

÷ 9    ÷ 9

20 = b, our base is 20 square units.

Answer:

You are asking a question that cannot be solved by anyone outside of your school.

Step-by-step explanation:

What information is below?

Answer:

38.25 cm²

Step-by-step explanation:

We use the formula for the length of an arc to find the central angle of the sector of the circle.

Then we use the formula for the area of a sector of a circle to find the area.

Length of arc of circle of radius r:

[tex] s = \dfrac{n}{360^\circ}2 \pi r[/tex]

s = arc length

n = measure of the central angle of the sector

[tex] s = \dfrac{n}{360^\circ}2 \pi r[/tex]

[tex] 8.5~cm = \dfrac{n}{360^\circ}2 \pi \times 9.0~cm[/tex]

[tex] n = 54.1^\circ [/tex]

Area of sector of circle of radius r:

[tex] A = \dfrac{n}{360^\circ} \pi r^2[/tex]

A = area of sector of circle

n = measure of the central angle of the sector

[tex] A = \dfrac{54.1^\circ}{360^\circ} \pi (9.0~cm)^2[/tex]

[tex] A= 38.25~cm^2 [/tex]

Step-by-step explanation:

Only 3 numbers are possible at units place (2, 4 & 6) as we need even number.

But at tens & hundreds place all 6 are possible

Number of 3 digit even numbers

= 3x6x6 = 108

36

[tex]Solution:[/tex]

[tex]6\times6=36[/tex]

[tex]such\ as:[/tex]

[tex]11\ \ \ 22\ \ \ 33\ \ \ 44\ \ \ 55\ \ \ 66\\ 12\ \ \ 21\ \ \ 31\ \ \ 41\ \ \ 51\ \ \ 61\\ 13\ \ \ 23\ \ \ 32\ \ \ 42\ \ \ 52\ \ \ 62\\ 14\ \ \ 24\ \ \ 34\ \ \ 43\ \ \ 53\ \ \ 63\\ 15\ \ \ 25\ \ \ 35\ \ \ 45\ \ \ 54\ \ \ 64\\ 16+263646+56\\ 6+6+6+6+6+6\\ =36.[/tex]

I hope this helps you

:)

Answer:

150.09

Step-by-step explanation:

0.1  = 1/10 + 149.99=  150. the leftover of 0.09 then is finally added to 150 which then you get 150.09  


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Answer:

The answer should be 150.09  

Step-by-step explanation:

Adding one tenth to 149.9 will equal 150. The remaining 0.09 will be added to 150 and the final answer is 150.09

Hope This Helps
Have A Great Day

~Zero~

Answer:

she saves $40

Step-by-step explanation:

first of all, you find 20% of $50, that is,

(20/100) * $50

then you get: $10

next step is to subtract this answer from the $50, that is: $50 - $10 = $40

have a great day!!

We get the amount of price removed as a result of free coupon as below:

[tex] \frac{20}{100 } \times 50 = \frac{1000}{100} = 10 \\ coupon = 10dollars[/tex]

Therefore, Sonya saved $10

The length of the bridge and the length the dog swam are 12.12 feet and 32.36 feet respectively

The problem forms a right angle triangle.

A right angle triangle has one of its angles as 90 degrees. The sides and angle can be found using trigonometric ratios.

Therefore, the length of the bridge and the length the dog swam can be calculated as follows:

tan 68° = opposite / adjacent

tan 68° = 30 / x

cross multiply

x = 30 / tan 68

x = 12.12 ft

length of the bridge = 12.12 ft

The length the dog swim is as follows:

sin 68°= opposite / hypotenuse

sin 68° = 30 / h

h = 30 / sin 68

h = 32.3561767942

The distance the dog swimmed = 32.36 ft

learn more on right triangle here: brainly.com/question/22734914

Answer:

someone who doesn't try would have a lower chance of 100% effort and someone who dose try would have a much higher chance of 100% effort

Step-by-step explanation:

i hope this helps!!

Answer:

Step-by-step explanation:

Tom: 90 cookies total 60% were sold

Tom: 90 * 60/100 = 54 cookies

Scott: 150 cookies and 2/3 were sold

Scott: 150 * 2/3 = 300/3 = 100

Dawn: sold 46 cookies

Total Sold = 46 + 100 + 54

Total Sold = 200

Answer

Dawn: % = (46 / 200) * 100 = 23%

Answer:

PR = 7.99 cm (2 dp)

Step-by-step explanation:

Pythagoras' Theorem:  a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

From inspection of the triangle:

Substituting the given values into the formula;:

⇒ a² + b² = c²

⇒ PR² + 12.1² = 14.5²

⇒ PR² + 146.41 = 210.25

⇒ PR² = 210.25 - 146.41

⇒ PR² = 63.84

⇒ PR = ±√(63.84)

⇒ PR = ±7.99 (2 dp)

As distance is positive, PR = 7.99 cm (2 dp) only

Answer:

See below.....Something is wrong with your question

Step-by-step explanation:

v = k d^3    or     k = v/d^3   = 576/12^3 = 1/3

when depth (???   m??)  is 1300 :

  1/3 =  v / (1300^3)  = 732 333 333 .3 cm^3

Answer:

1= 40, 25, 10

2= 9,375, 46,875, 234,375

3= 234, 729, 2,187

4= 192, 384, 768

Answer:

Mr Bean will get 1000 naira.

Step-by-step explanation:

They invested in the ratio of 5:3:2 , meaning that Mr Bean will get half the profit. 1/2 X 2000 = 1000

Answer:

108 miles

Step-by-step explanation:

144m/4h = 36m/1h or 36mph

36mph · 3 = 108m

Answer:

0.13m

Step-by-step explanation:

1m = 100cm

0.13m = 13cm

Answer:

0.13 meters

Step-by-step explanation

In metric measures the conversion from meters to centimeters is

1 meter = 100 centimeter

because centi means one hundredth and meter means the unit meter.

Therefore, 1 cm = 0.01 meter. Now you just multiply 13 on both sides and you get 13 cm = 0.13 meters