figure. (Sides meet at right angles.
4 in
8 in
2 in
4 in
5 in
2
in

Answer:

25/6

Step-by-step explanation:

We determine the scale factor by comparing the lengths of corresponding sides of the square. 
The length of O’N’=15 and the length of ¯¯¯¯¯¯¯¯¯¯¯ON=9

The equation for the scale factor, k is then given by:

O’N’=kON

15=9k

K= 15/9= 5/3.

The scale factor is k= 5/3

Answer:

angle ODC=30°

Step-by-step explanation:

Parallel to the line now draw another line PQ

Answer:

Midpoint formula is given as [(x1+x2)÷2, (y1+y2)÷2], where x and y are coordinates of the points.

Midpoint = [(19+17)÷2, (6+(-3))÷2]

= (36÷2, 3÷2)

= (18, 1.5)

Answer:

[tex]tan(x)=\frac{44\sqrt{89}}{89}[/tex]

Step-by-step explanation:

tan is defined as: [tex]tan(x)=\frac{opposite}{adjacent}[/tex]

sin is defined as: [tex]sin(x)=\frac{opposite}{hypotenuse}[/tex]

cos is defined as: [tex]cos(x)=\frac{adjacent}{hypotenuse}[/tex]

We can also define tan as: [tex]tan(x)=\frac{sin(x)}{cos(x)}[/tex]

because plugging in the definitions of sin and cos in we get: [tex]tan(x)=\frac{(\frac{opposite}{hypotenuse})}{(\frac{adjacent}{hypotenuse})}\\\\tan(x)=\frac{opposite}{hypotenuse}*\frac{hypotenuse}{adjacent}\\\\tan(x)=\frac{opposite}{adjacent}[/tex]

which you'll notice is the original definition of tan(x)

So using this definition of tan(x) we can use the givens sin(x) and cos(x) to find tan(x)

[tex]sin(x)=\frac{44}{45}\\\\cos(x)=\frac{\sqrt{89}}{45}\\\\tan(x)=\frac{sin(x)}{cos(x)}[/tex]

plugging in sin(x) and cos(x) we get:

[tex]tan(x)=\frac{\frac{44}{45}}{\frac{\sqrt{89}}{45}}\\\\tan(x)=\frac{44}{45}*\frac{45}{\sqrt{89}}\\\\tan(x)=\frac{44}{\sqrt{89}}[/tex]

We usually don't like square roots in the denominator, and from here we want to rationalize the denominator which we do by removing the square root from the denominator.

We can do this by multiplying the fraction by: [tex]\frac{\sqrt{89}}{\sqrt{89}}[/tex] which doesn't change the value of the fraction since it simplifies to 1, but it gets rid of the square root in the denominator

[tex]tan(x)=\frac{44}{\sqrt{89}}*\frac{\sqrt{89}}{\sqrt{89}}\\\\tan(x)=\frac{44\sqrt{89}}{89}[/tex]

Answer: 4/5

Step-by-step explanation:

y = mx + b

m represents the slope in this line.

Answer:

4/5

Step-by-step explanation:

Equation is in slope intercept form:

[tex]y = mx + b[/tex]

where m is the slope and b us the y-intercept

so, slope is 4/5

The probabilities listed here, in percent form and rounded to the fourth decimal place, are 29.9474 for a 5-card poker hand.

Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true. The probability of an event is a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.

Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true. The probability of an event is a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.

According to given information;

C(4,3)C(48,2)/C(52,5) - 3 of 4 aces, 2 of 48 non-aces 0.1736%

C(13,5)/C(52,5) - 5 of 13 spades 0.0495%

There are 4 face cards, ace, king, queen, jack, and 4 suits for each. 16 face cards, and 36 non-face cards - C(16,3)C(36,2)/C(52,5) 13.5747%

There are 44 cards that are not aces or kings - C(4,2)C(4,2)C(44,1)/C(52,5) 0.0609%

There is 1 jack and 48 non-jacks C(4,1)C(48,4)/C(52,5) = 29.9474%.

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Answer:

x° = 100°

Step-by-step explanation:

Straight line angles add up to be 180°

Angles opposite eachother aka "vertical angles" are the same measurements.

The expression for the side length of the bulletin board is √n (option B).

A square is an object with four sides that are of equal length. The sum of angles in a square is 360 degrees. A square has two diagonals that are of equal length that bisect each other at a right angle.

The area of a square can be determined by calculating the square of a side length.

The area of a square = length x length

= length²

If the area of a square is given, to determine its side length, find the square root of the area.

Length of a side = √area

√n

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Answer:

Step-by-step explanation:

[tex]f(x)=x^2-12x^2+27\\f(x)=x^2-2(x)(6)+6^2-6^2+27\\f(x)=x^2-2(x)(6)+6^2-36+27\\f(x)=(x-6)^2-9[/tex]

This is the graph of the function f(x)=x² shifted right about the x-axis

by 6 units and dropped down about the y-axis by 9 units

It should be noted that 10^-3 × 10^6 in scientific notation is 10³.

It should be noted that scientific notation is simply used in Mathematics to express the numbers that are either too small or too large.

This will be illustrated based on the information given. In this case, we want to multiply 10^-3 × 10^6. This will be illustrated thus:

= 10^-3 × 10^6.

It should be noted that since the question is about multiplication, the powers will be added.

= 10^-3 × 10^6.

= 10³

The answer is 10³.

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To write a given number 5.36 in the mixed number is [tex]5\frac{36}{100}[/tex] and in the simplest form it is written as 134 / 25 .

As given in the question,

Given number in decimal form is equal to 5.36

5 is the whole number and 0.36 can be written as 36 /100.

Mixed number of the given number 5.36 is equal to

= 5 ( 36 / 100)

Reduced the mixed number to get the simplest form :

5 ( 36 / 100)

= 5 ( 9 / 25)

= 134 / 25

Therefore, to write a given number 5.36 in the mixed number is [tex]5\frac{36}{100}[/tex] and in the simplest form it is written as 134 / 25 .

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Answer:

9.88x

Step-by-step explanation:

multiply both numbers together

The average number of viewers over the two week is D. 4.85 x 10^5.

It should be noted that the scientific notation simply has to do with writing of numbers that are either too large or too small. This will be illustrated thus:

In this case, the TV show had 5.6 x 10^5 viewers in the first week and 4.1 x 10^5 viewers in the second week.

Therefore, the average number of viewers over the two weeks will be:

= (5.6 × 10^5) + (4.1 × 10^5) / 2

= 4.85 × 10^5

Note that we had to divide by 2 since it's average.

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The given expressions have been evaluated to be equivalent or not equivalent as follows:

The distributive property of multiplication states that when the sum of two (2) or more addends are multiplied by a specific number, the same output (result) would be produced as when each addend is multiplied respectively by the number, and the products are added together.

Mathematically, the distributive property of multiplication is given by this expression:

a(b + c) = ab + ac.

Next, we would determine whether or not the given expressions are equivalent:

3x + 12 and 3(4 + x):

Opening the bracket, we have:

3(4 + x) = 3x + 12 (Equivalent).

2(3x - 30) and 6 - 30;

Opening the bracket, we have:

2(3x - 30) = 6x - 60

2(3x - 30) = 6 - 30 (Not equivalent).

4(5 - 4x) and 20x - 16;

Opening the bracket, we have:

4(5 - 4x) = 20 - 16x

4(5 - 4x) = 20x - 16 (Not equivalent).

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Answer:

125.

Step-by-step explanation:

5^3

= 5 * 5 * 5

= 25 * 5

= 125.

The dimensions of the rectangular prisms are:

Prism M: l=4 cm , w=1 cm and h=6 cm

Prism W: l=2 cm , w=2 cm and h=6 cm

Prism Z: l=6 cm , w=1 cm and h=4 cm

Prism J: l=2 cm , w=4 cm and h=3 cm

Prism R: l=2 cm , w=3 cm and h=4 cm

Prism F: l=1 cm , w=8 cm and h=3 cm

Given, a rectangular prism with a volume of 24 cm³

Dimensions of the prism if the volume is 24 cm³.

Prism M:

l=4 cm and w=1 cm

we know that volume = h×l×w

h×4×1=24

4h=24

h=24/4

h=6 cm

Prism W:

l=4 cm and w=2 cm

we know that volume = h×l×w

h×2×2=24

4h=24

h=24/4

h=6 cm

Prism Z:

l=4 cm and w=1 cm

we know that volume = h×l×w

h×6×1=24

6h=24

h=24/6

h=4 cm

Prism J:

l=2 cm and w=4 cm

we know that volume = h×l×w

h×2×4=24

8h=24

h=24/8

h=3 cm

Prism R:

l=2 cm and w=3 cm

we know that volume = h×l×w

h×2×3=24

6h=24

h=24/6

h=4 cm

Prism F:

l=1 cm and w=8 cm

we know that volume = h×l×w

h×1×8=24

8h=24

h=24/8

h=3 cm

hence we get the required dimensions.

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The equation of the line that is perpendicular to y = 2x + 3 and passes through the point (−4, 8) is y = - 1 / 2 x + 6(y equals negative one-half times x plus 6)

The equation of the line is perpendicular to y = 2x + 3 and passes through the point (−4, 8).

Therefore, perpendicular lines follows the rule:

m₁m₂ = -1

Hence,

2m₂= -1

m₂ = - 1 / 2

Therefore, let's find the slope of the line using (-4, 8)

8 = - 1 / 2 (-4) + b

b = 8 - 2

b = 6

Therefore, the equation of the line is y = - 1 / 2 x + 6

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Answer: The answer is D- y= -1/2x+6

Answer:

Step-by-step explanation:

450 * 99.40 =  44730

We will compute the volume of each figure.

1) Figure A

We have a cone with:

• Ab = base area = 20 cm²,

• h = heigh = 5 cm.

The volume of the cone is:

2) Figure B

We have a cylinder with:

• Ab = base area = 20 cm²,

• h = heigh = 6 cm.

The volume of the cylinder is:

3) Figure C

We have an inclined cylinder with:

• Ab = base area = 20 cm²,

• h = heigh = 5 cm.

The volume of the inclined cylinder is:

4) Figure D

We have a parallelepiped with:

• Ab = base area = 20 cm²,

• h = heigh = 5 cm.

The volume of the parallelepiped is:

5) Figure E

We have an inclined square pyramid with:

• Ab = base area = 20 cm²,

• h = heigh = 10 cm.

The volume of the square pyramid is:

Answer

Among these figures, figure C and figure D have the same volume.

The supergym sold 15,826.24 membership last year

This year it's employees sold 10,412

This number is 52% more that they sold last year

The first step is to calculate 52% of 10,412

52/100 × 10,412

= 0.52 × 10412

= 5,414.24

The number of membership sold this year can be calculated as follows

= 5414.24 + 10,412

= 15,826.24

Hence the number of membership they sold last year is  15,826.24

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Answer:

10.8

Step-by-step explanation:

30% of 36

= 30/100 * 36

= 3/10 * 36

= 108/10

= 54/5

= 10.8

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The other side of the fence based on the information illustrated is 6.5 feet.

It should be noted that the perimeter of a rectangle is illustrated as:

= 2(length + width)

In this case, the width is given as 7/2 = 3.5 feet.

It should be noted that the perimeter is given as 20 feet.

Therefore, the length will be:

2(length + width) = 30

2(length + 3.5) = 20

2Length + 7 = 20

2L = 20 - 7

2L = 13

L = 13/2

L = 6.5

Therefore, the length is 6.5 feet.

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Answer: 345.79 - The value of the digit 7 is 7 thousandths, or 0.007.

sorry if this doesn't help..

Answer:

[tex]\sf y = \dfrac{5}{2}x +\dfrac{17}{2}[/tex]

Step-by-step explanation:

 [tex]\sf y =\dfrac{5}{2}x+1[/tex]

  m= 5/2

Parallel lines have same slope.

      Slope y-intercept form: y = mx +b

Here, m is the slope and b is the y-intercept

[tex]\sf y = \dfrac{5}{2}x + b[/tex]

Point (-3,1) passes through the required line. Substitute (-3,1) in the above equation and find 'b'.

        [tex]\sf 1 = \dfrac{5}{2}*(-3)+b\\\\1 =\dfrac{-15}{2}+b\\\\[/tex]

 [tex]\sf 1 +\dfrac{15}{2}=b\\\\\dfrac{2+15}{2}=b\\\\\\ \boxed{b= \dfrac{17}{2}}[/tex]

  [tex]\sf \bf y = \dfrac{5}{2}x+\dfrac{17}{2}[/tex]

Using proportions, the number of planes in each city after 8 hours is given as follows:

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using operations such as multiplication and division, with the given ratios.

One example of application of proportions is for percentage problems, as the total amounts are multiplied by the decimal equivalent of the percentage to find the equivalent amounts.

The planes in Los Angeles after 8 hours are given as follows:

Hence the amount is:

0.7 x 30 + 0.25 x 12 + 0.125 x 8 = 25.

The planes in St. Louis after 8 hours are given as follows:

Hence the amount is:

0.2 x 30 + 0.25 x 12 + 0.5 x 8 = 13.

Initially, there were 50 planes, and 25 + 13 = 38 are in either Los Angeles or St. Louis, hence the remaining 50 - 38 = 12 are in Dallas.

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The value of the area are;

Rectangle A = 54 square units

Triangle B = 2 square units

Rectangle C = 6 square units

Whole figure = 62 square units

The formula for determining the area of a rectangle is expressed as;

Area = lw

Where;

From the figure shown, we have two rectangles

Area of the bigger rectangle;

Length = 9

Width = 6

Now, substitute the value

Area = 9(6)

Multiply through

Area = 54 square units

Area of the smaller rectangle

Length = 9 - 7 = 2

Width = 9 - 6 = 3

Substitute the values

Area = 2(3)

Multiply through

Area = 6square units

The formula for area of a triangle is expressed as;

Area = 1/2 base× height

Base = 9 - 6 = 3

Height = 9 - 2 = 3

Substitute the value

Area = 1/ 2 ×2(3)

Area = 6/ 3

Area = 2

The total area = Rectangle A + rectangle B + Triangle

Total area = 54 + 6 + 2

Total area = 62 square units

Hence, the area is 62square units

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Answer:

A=54 B=3 Whole=73

Step-by-step explanation:

I know this because i did this aswell