Suppose the population of a country is 100 people: 40 work full-time, 20 work half-time but would prefer to work full-time, 10 are looking for a job, 10 would like to work but are so discouraged they have given up looking, 10 are not interested in working because they are full-time students, and 10 are retired. What is the number of unemployed

Answer:

√2:1

Step-by-step explanation:

First we need to know that the length of the side of the square is equal to the diameter of the inscribed circle i.e

L = di

Given the area of the square to be 9in², we can get the length of the square.

Area of a square = L²

L is the length of the square.

9 = L²

L = √9

L = 3in

Hence the length of one side of the square is 3in

This means that the diameter of the inscribed circle di is also 3in.

Circumference of a circle = π×diameter of the circle(di)

Circumference of inscribed circle = π×3

= 3π in

For the circumscribed circumscribed circle, diameter of the outer circle will be equivalent to the diagonal of the square.

To get the diagonal d0, we will apply the Pythagoras theorem.

d0² = L²+L²

d0² = 3²+3²

d0² = 9+9

d0² = 18

d0 = √18

d0 = √9×√2

d0 = 3√2 in

Hence the diameter of the circumscribed circle (d0) is 3√2 in

Circumference of the circumscribed circle = πd0

= π(3√2)

= 3√2 π in

Hence, ratio of the circumference of the circumscribed circle to the one of the inscribed will be 3√2 π/3π = √2:1

Answer:

Step-by-step explanation:

Sin (90 - ∅) = Cos ∅

90 -54 = 36

Sin 36 = Sin (90 - 54)

            = Cos 54      --------->(I)

Now, Sin (36) - Cos (54) = Cos 54 - Cos 54   {From 1}

                                        = 0

2) tan (90-∅) = Cot ∅

Tan 80 = Tan (90 - 10)

            = Cot 10  ----------(II)

Tan 80 - Cot 10 = Cot 10 - cot 10   -----------(from (II)}

                         = 0

Are you korean?

≧∇≦

ฅ'ω'ฅ

Answer:

A. The function is Nonlinear.

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               Hi my lil bunny!

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[tex]\frac{3}{7}+\frac{5}{21}[/tex]

[tex]= \frac{3}{7}+\frac{5}{21}[/tex]

[tex]= \frac{9}{21}+\frac{5}{21}[/tex]

[tex]= \frac{9 + 5}{21}[/tex]

[tex]= \frac{14}{21}[/tex]

[tex]= \frac{2}{3}[/tex] (Decimal: 0.666667)

Answer : [tex]\boxed{\frac{2}{3} }[/tex] (Decimal: 0.666667)

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        Have a great day/night!

                   ❀*May*❀

9514 1404 393

Answer:

  x = 90°

Step-by-step explanation:

Half the sum of x and 120° is the angle where the chords cross, 105°. Then ...

  105° = (1/2)(x +120°)

  210° = x + 120°

  210° -120° = x = 90°

_____

Additional comment

z is the arc that finishes the circle: 360° -90° -68° -120° = 82°.

[tex]\it R=circle's \ radius;\ \ D=diameter;\ \ D=2R\\ \\ \mathcal{C}=2\pi R\\ \\ \mathcal{A}=\pi R^2\\ \\ \mathcal{C}=\dfrac{2}{5}\cdot\mathcal{A} \Rightarrow 2\pi R=\dfrac{2}{5}\pi R^2|_{\cdot\frac{5}{2}} \Rightarrow 5\pi R=\pi R^2|_{:(\pi R)} \Rightarrow 5=R|_{\cdot2} \Rightarrow 10=2R\\ \\ But,\ 2R=D,\ so\ \ D=10\ in[/tex]

Answer:

D. (-2,-3)

Step-by-step explanation:

substitute the point values of [tex]x[/tex] and [tex]y[/tex] into the equation [tex]y=\frac{1}{2}x-2[/tex]

A. [tex]0=\frac{1}{2}(5)-2[/tex]

   [tex]0=2.5-2[/tex]

   [tex]0[/tex] ≠ [tex]0.5[/tex]

B. [tex]1=\frac{1}{2}(-1)-2[/tex]

   [tex]1=-.5-2[/tex]

   [tex]1[/tex] ≠ [tex]-2.5[/tex]

C. [tex]-1=\frac{1}{2}(3)-2[/tex]

   [tex]-1=1.5-2[/tex]

   [tex]-1[/tex] ≠ [tex]-0.5[/tex]

D. [tex]-3=\frac{1}{2}(-2)-2[/tex]

   [tex]-3=-1-2[/tex]

   [tex]-3=-3[/tex]

Answer:

y= -2x+6

Step-by-step explanation:

General formula :

y=mx+c

m is the gradient

when finding when finding the perpendicular line of another line is will be the negative inverse of the gradient

The perpendicular line will have a gradient of -2 (the negative inverse of 1/2)

so

the line perpendicular to the equation y=1/2x+6

is y= -2x+6

Answer:

y = 3x + 4

Step-by-step explanation:

According to the given question, the expression to represent all the books in Ms. Canton's bookcase is shown below:-

y indicates the total amount of books

x indicates the equal cost of books on 3 bookshelves

while

+4 indicates 4 other books on the fourth bookshelf

So, the expression will be

y = 3x + 4

Therefore the correct answer is y = 3x + 4

Answer:

hello mate <3

u see here its a quadrialteral

with 4 angles b , d , 70 , g

so b + d + 70 + g = 360

now u see 60 + d = 180 (straight line)

d = 120 and b = 110 ( given)

so

110 + 120 + 70 + g = 360

g + 300 = 360

g = 360 - 300 = 60 degrees option c

brainliest?

Answer:

A) Sometimes

A ) Sometimes is the correct answer because b) always and c) never is not possible

it cannot be always measured 90 degrees

Answer:

tax=31.83 and total=278.67

Step-by-step explanation:

310.50×10.25/100

Tax=31.83

Total=310.50-31.83

=278.67

Answer:

j = 29.7 inches

Step-by-step explanation:

The following data were obtained from the question:

m = 21 inches

k = 34 inches

Angle L = 60°

j =?

Using Cosine rule, the value of j can be obtained as follow:

j² = m² + k² – 2mk Cos J

j² = 21² + 34² – 2 × 21 × 34 × Cos 60°

j² = 441 + 1156 – 1428 × 0.5

j² = 1597 – 714

j² = 883

Take the square root of both side

j = √883

j = 29.7 inches

Therefore, the value of j is 29.7 inches.

Answer:

x = - 3 ± [tex]\sqrt{10}[/tex]

Step-by-step explanation:

Given

4x² + 24x = 4 ( divide through by 4 )

x² + 6x = 1

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(3)x + 9 = 1 + 9

(x + 3)² = 10 ( take the square root of both sides )

x + 3 = ± [tex]\sqrt{10}[/tex] ( subtract 3 from both sides )

x = - 3 ± [tex]\sqrt{10}[/tex]

Answer:

X=1/8

Step-by-step explanation:

Calculate the product 4x×2 + 24x = 4

Collect like terms 8x + 24x = 4

Divide both sides of the equation by "32" 32x = 4

Solution x = 1/8

Answer:

No, the above polynomials aren't similar as they don't have a constant scale factor

The following polygons given in the question are not similar .

Similar polygons are those polygon which have the similar shapes but with different size and dimensions.  Similar polygons have also the scaling factor ration equal.

There are two polygons given in the question LMNO and WXYZ .

For both of the polygons, we are checking the adjacent sides of the polygons.

The value of LM = 35 but for the other polygon , its adjacent side WX = 18.

Similar LO = 63 and WZ = 10 .

Also the adjacent angles are not equal as ∠MNO = 50° and ∠ZWX = 50° .

Therefore, the polygons given have different scaling factor.

Thus, the following polygons given in the question are not similar .

To learn more about similar polygons, refer -

https://brainly.com/question/16058229

#SPJ2

Answer:

[tex]\huge \boxed{x=30}[/tex]

Step-by-step explanation:

[tex]\sf We \ can \ use \ ratios \ to \ solve.[/tex]

[tex]\displaystyle \frac{45}{27} =\frac{x}{18}[/tex]

[tex]\sf Multiply \ both \ sides \ by \ 18.[/tex]

[tex]\displaystyle \frac{45}{27}(18) =\frac{x}{18}(18)[/tex]

[tex]\sf Simplify \ the \ equation.[/tex]

[tex]\displaystyle \frac{810}{27} =x[/tex]

[tex]30=x[/tex]

Answer:

8

Step-by-step explanation:

If f and g are inverse functions , they undo each other

f(g(8))= 8 when  f and g are inverses

Answer:

8

Step-by-step explanation:

I have no further information so this is the only answer.

Answer:

Ok, this question seems incomplete, so i will answer it in a general way.

Suppose that regularly, Ken eats A calories during the day. (A is a positive number)

Now, Ken wants to reduce this number, but his nutritionist tells him to reduce no more than 7% (So the max reduction possible is a reduction of the 7%).

So after the reduction, Ken eats C calories per day.

First, the maximum reduction that Ken can do is when he reduces exactly 7% of the calories.

So if he regularly consumes A calories, the reduction will be of

(7%/100%)*A = 0.07*A

So after the reduction, the amount of calories that he consumes per day is:

C = A - 0.07*A = A*(1 - 0.07) = A*0.93

But this is the minimum amount of calories that he can consume, the actual range of possible options will be:

A < C ≤ A*0.97.

C is strictly smaller than A because we must have a reduction in the number of calories.

Those values of C is all the posible amounts of calories that Ken eats per day after the initial reduction in the number of calories per day.

Answer:

197 pounds of cans

Step-by-step explanation:

Find how many pounds of cans they have collected by subtracting 8 from both of their barrel weights:

115 - 8

= 107

98 - 8

= 90

Add these two weights together:

107 + 90

= 197

So, they collected 197 pounds of cans

Answer:  [tex]\sqrt{5} /7[/tex]

Step-by-step explanation:

5/4 is not an irrational number because it is already in a fraction the same as 1/8 and 3/5.

The square root of 5 is not rational because it cannot be converted to a fraction or in other words is not a perfect square.

Answer:√5 / 7

Step-by-step explanation:

Answer:

The correct option is;

C. Transformation

Step-by-step explanation:

In mathematics, transformation refers to the relocation of an object called the pre-image from initial position to another new location at which point the object will be known as the image whereby there is a one to one mapping from each point on the pre-image to the image

The types of transformation includes reflection, rotation, and translation which involve changes in position and dilation, which involves changes in the size of the pre-image.

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▹ Answer

3² * a² - b²

▹ Step-by-Step Explanation

9a² - b²

Break down each coefficient and variable:

9 = 3²

a² = a²

b² = b²

Combine everything together:

3² * a² - b²

Hope this helps!

CloutAnswers ❁

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Answer:

Since both terms are perfect squares, factor using the difference of squares formula,  a^2-b^2=[a+b][a-b] where a=3a and b=b

Answer:

(if you just add them together), it is 16 hours and 12 minutes

Step-by-step explanation:

8 hours plus 7 hours is 15 hours. 54 minutes plus 6 minutes is another hour. We then have 12 minutes left over. This could also be 16 1/5 hrs.

Answer: Hi! The last answer is correct.

4(2) + 4 isn't equal to nine, so it doesn't make sense that Sadie could have scored 4 goals.

Hope this helped!

Answer:

the answer is the last one because if you do 4 times 2 and then add four it would add up to way more than 9.

Step-by-step explanation:

Answer:

The sum of the arithmetic progression is 2520

Step-by-step explanation:

The sum, Sₙ, of an arithmetic progression, AP, is given as follows;

[tex]S_{n}=\dfrac{n}{2}\cdot \left (2\cdot a+\left (n-1 \right )\cdot d \right )[/tex]

Where;

n = The nth term of the progression

a = The first term = 100

d = The common difference = -2

Given that the last term = -10, we have;

-10 = 100 + (n - 1) ×(-2)

n = (-10 - 100)/(-2) + 1 = 56

Therefore, the sum of the 56 terms of the arithmetic progression is [tex]S_{56}=\dfrac{56}{2}\cdot \left (2\cdot 100+\left (56-1 \right )\cdot (-2) \right )[/tex]

Which gives;

[tex]S_{56}={28}\cdot \left (200-\left 110 \right ) = 2520[/tex]

Answer:the answer is D

Step-by-step explanation:

Answer:

6 quarts

Step-by-step explanation:

8 bags

--------

2 quarts

Multiply top and bottom by 3

8*3 bags

--------

2*3 quarts

24 bags

--------------

6 quarts

Answer:

6

Step-by-step explanation:

2 quarts of iced tea = 8 tea bags.

x quarts of Iced tea = 24 tea bags

=> 2/8 = x/24

=> Multiply the extremes and means

=> 8x = 48

=> 8x / 8 = 48 / 8

=> x = 6

6 quarts of iced tea can be made with 24 tea bags.

Answer:

11, 71, 19, 67, 43.

Step-by-step explanation: