In 10 years, the population of Detroit fell from 950,000 to about 712,500. Find the total percent decrease.

Step-by-step explanation:

the given data is

tanθ = 2.773 and 0<θ<π/2

this implies θ = tan inverse(2.773)

⇒ θ =  70.16°

Therefore, sinθ = sin70.16° = 0.9406

similarly,cosθ =  cos70.16° = 0.3393

therefore, values of sinθ and cosθ are  0.9406 and 0.3393 respectively.

Answer:

Option D is correct.

Step-by-step explanation:

Given, the side of a cube is 7 cm.

Total surface area of cube side = [tex]6 {s}^{2} [/tex]

[tex] = 6 \times 7 \times 7[/tex]

[tex] = 294[/tex]

∴ the total surface area of cube is [tex]294 {cm}^{2} [/tex]

Answer:

145 degrees

Explanation:

A straight line is 180 degrees so minus 180 by 35 to get 145 degrees.

Answer:

The measure of the unknown angle (n) is 145

Step-by-step explanation:

A straight line or angle is 180 degrees so if we subtract the 35 degrees from that we get 145 degrees.

I tried to explain the simplest I could so I hope you understand it.

Hope I helped!!!

Answer:

5

Step-by-step explanation:

3*4=12

4*3=12

6*2=12

but 12 is not factor of 5

Answer:

40cm

Step-by-step explanation:

Given data

Length= 15cm

Width=30cm

Volume= 18liters

1000cm^3= 18liters

18000cm^3= 18liters

We know that volume

Volume= L*W*h

18000= 15*30*h

18000=450h

h= 18000/450

h= 40cm

Hence the height is 40cm

Answer:

A

Step-by-step explanation:

The data set is;

2,4,6,8,10,12

For a box plot, we need five information regarding a data set;

These are;

1. The minimum value

The minimum value here is 2, so the box plot starts from here

2. The lower quartile

This is the term according to the formula;

(n + 1)/4

Where n is the number of data points which is 6

So we have;

(6 + 1)/4 = 7/4 = 1.75

Approximately this is the second term which is 4

3. The median

This is the middle number

We only need to add the third and fourth term, then divide by 2

we have this as; (6 + 8)/2 = 14/2 = 7

4. The upper quartile

It is the term according to the formula;

3(n+ 1)/4 = 3 * 1.75 = 5th term approximately

So we have it as 10

5. The maximum value

The max value here is 12

So the points on the box plot are;

2,4,7,10 and 12

So the correct plot is the first one

Answer:

-3

Step-by-step explanation:

[tex]\frac{7-25}{-2(-3)}[/tex]

=[tex]\frac{-18}{-2*-3}[/tex]

=[tex]\frac{-18}{6}[/tex]

=-3

[tex]\quad\quad\quad\quad\huge\tt{⟹\frac{7 - 25}{ - 2( - 3)} }[/tex]

[tex]\quad\quad\quad\quad\huge\tt{ ⟹\frac{7 - 25}{ - 2( - 3)} }[/tex]

[tex]\quad\quad\quad\quad\huge\tt{ ⟹\frac{-18}{ - 2( - 3)} }[/tex]

[tex]\quad\quad\quad\quad\huge\tt{ ⟹\frac{-18}{ 6} }[/tex]

[tex]\quad\quad\quad\quad\huge\tt{ ⟹ - 3} [/tex]

[tex]\quad\quad\quad\quad\huge \boxed{\tt{ \color{green} - 3} }[/tex]

________

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Good question. It is supposed to be both the y-intercept and the x-intercept and is the only point on a graph that can be both. Something in wrong in that thing.

Answer:

840

Step-by-step explanation:

600×140% =840 hope this helps

Answer:

Step-by-step explanation:

I actually don't know tttttttttttþyyyyyyyyyttyyytrreeeee

Answer:

The 4th graph.

Step-by-step explanation:

Its a horizontal line which indicates that x is known and the line begins over 2.

The correct Graph of x >2 has been given which is the 4th option.

An equation is an expression that shows the relationship between two or more numbers and variables.

We have given an equation as x> 2

Clearly, we can see the graph of x> 2 must be an area beyond 2 on the positive X -axis

The points (and only those points) which lie on the graph of the function should satisfy its equation.

Thus, if a point lies on the graph of a function, then it must also satisfy the given equation.

It is a horizontal line that indicates that the x value is known and the line begins over 2.

Hence, The correct Graph of x >2 has been given which is the 4th option.

Learn more about equations here;

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Answer:

11-

3 / 8 * 5 / 5 = 15 / 40

2 / 5 * 8 / 8 = 16 / 40

16 / 45 + 15 / 45 =

31 / 40

12-

5 / 6 * 9 /9 = 45 / 54

4 / 9 * 6 / 6 = 24 / 54

24 / 54 + 45 + 54 = 69 / 54

69 / 54 =

1   15 / 54

Answer:

I think it would be 36, if you use Area=Length×Width×Height

Answer:

3.75

Step-by-step explanation:

calculator because yes:)

Answer:

True

Step-by-step explanation:

We are given that system of equation

x<3

y>3

We have to find that there is no solution of system of equation is true or not.

First we change inequality equation into equality equation

x=3

y=3

When x=0

0<3

It is true equation therefore, the shaded region towards the origin.

When y=0

0>3

It is false equation. Therefore, the shaded region above the origin.

From the graph

There is  no solution of system of equation.

Hence, option true is correct.

Answer: -6. 4. -3,75. 37.

Step-by-step explanation: -20|+10-2²= -6, since a minus×minus give you a + therefore -2²=4.

2³+(-8)= 12-8=4, a minus×plus gives you a minus.

-2,50+(-1,25)=-2,50-1,25=-3,75. |-10|+|20|-5²-(-2)=-10+20+25+2=37.

hope you understand.....

Answer:

Volumen A = 30000 cm³

Volumen B = 35000 cm³

Volumen C = 72000 cm³

Step-by-step explanation:

a) Volumen A

Largo = 50 cm, Ancho = 30 cm Alto = 20 cm

Volumen = Largo × Ancho × Alto

= 50 cm × 30 cm × 20 cm

= 30000 cm³

b) Volumen B

Largo = 35 cm, Ancho = 20 cm Alto = 50 cm

Volumen = Largo × Ancho × Alto

= 35 cm × 20 cm × 50 cm

= 35000 cm³

c) Volumen C

Largo = 40 cm, Ancho = 60 cm Alto = 30 cm

Volumen = Largo × Ancho × Alto

= 40 cm × 60 cm × 30 cm

= 72000 cm³

Answer:

The other exterior angles must be 145 degrees. There is only one answer because there cannot be 2 of 110 degree angles in a triangle, so the other two exterior angles must correspond to the 2 equal angles in the triangle.

Step-by-step explanation:

For an exterior angle, we know that an exterior angle added with its corresponding interior angle is equal to 180 degrees. Thus, 180 = 70 + i, or the interior angle. i is then 110 degrees.

An isosceles triangle has two equal angles. As a triangle can only be 180 degrees. we cannot have 2 of i, as doing so would be equal to 220 degrees. Therefore, for the other two interior angles, they must be equal. Representing o, their angles could be put into an equation of 110 + 2o = 180, so o = 35.

For the other exterior angles, their corresponding interior angles are equal to 35 each, so they must be 145 degrees. There is only one answer because there cannot be 2 of 110 degree angles in a triangle, so the other two exterior angles must correspond to the 2 equal angles in the triangle.

Answer:

the index of 2 is -1

Step-by-step explanation:

[tex]2^{-1}[/tex]

=[tex]\frac{1}{2^1}[/tex]

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

Answer:

-2

Step-by-step explanation:

(1 , 3) = (x1 , y1)

(-2 , 9) = (x2 , y2)

slope = y2 - y2/x2 - x1

=9 - 3/-2 -1

=6/-3

=-2

Answer:

4x² - 10x - 6

Step-by-step explanation:

(x-3)(4x+2)

4x² + 2x - 12x - 6

4x² - 10x - 6

Answer:

23

Step-by-step explanation:

The absolute value of any number is just the positive version of that number. For example the absolute value of -12 is 12.

Hope this helps! :)

Answer:

4

Step-by-step explanation:

36/9

= 4

Given:

Sum of all the interior angles of a regular polygon is 1080°.

Measure of each side is 10 cm.

To find:

The perimeter.

Solution:

The sum of all interior angles of a regular polygon with n side is:

[tex]S=(n-2)180^\circ[/tex]

Sum of all the interior angles of a regular polygon is 1080°.

[tex]1080^\circ=(n-2)180^\circ[/tex]

[tex]\dfrac{1080^\circ}{180^\circ}=n-2[/tex]

[tex]6+2=n[/tex]

[tex]8=n[/tex]

Number of sides of the regular polygon is 8. The measure of each side is 10 cm. So, the perimeter of the regular polygon is:

[tex]\text{Perimeter}=\text{Number of sides}\times\text{Measure of each side}[/tex]

[tex]\text{Perimeter}=8\times 10[/tex]

[tex]\text{Perimeter}=80[/tex]

Therefore, the perimeter of the regular polygon is 80.

Answer:

2 m

Step-by-step explanation:

The model of the situation is a right triangle with legs 1.5 and h the height of the wall. The hypotenuse is the ladder.

Using Pythagoras' identity

h² + 1.5² = 2,5²

h² + 2.25 = 6.25 ( subtract 2.25 from both sides )

h² = 4 ( take the square root of both sides )

h = [tex]\sqrt{4}[/tex] = 2

The height of the wall is 2 m

The height of the wall od the building is, 2 m.

In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

Given, A 2.5m long ladder leans against the wall of a building. The base of the ladder is 1.5m away from the wall.

So, Hypotenuse is 2.5 m and Adjacent is 1.5 m.

We know, H² = O² + A².

O² = H² - A².

O² = 6.25 - 2.25.

O² = 4.

O = 2.

Another concept regarding triangles is,

Suppose we have a triangle ABC, with sides a, b and c.

An acute angle triangle is one where a² + b² > c².

It is a right-angle triangle if a² + b² = c2.

It is an obtuse angle triangle if a² + b² < c².

learn more about Pythagoras' theorem here :

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