You arrive at your relatives house 45 seconds after leaving you home which is 90 meters away. How fast did you travel?

The decimal 5.5 in simplified fraction can be expressed as  11/2 .

A Fraction is defined as a mathematical expression that represents a part of a whole or a ratio between two quantities .

The decimal 5.5 can be written as 5.5/1 ;

In order to remove the decimal, we multiply the numerator and denominator by 10, which moves the decimal point one place to the right:

⇒ 5.5/1 = 55/10

Since the numerator 55 and denominator 10 , have a common factor of 5,

So , we divide both the numerator and denominator by the common factor "5" ;

We get ;

⇒ 55/10  = 11/2 ;

Therefore, the decimal 5.5 is equivalent to the fraction 11/2 .

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The given question is incomplete , the complete question is

How to convert the decimal 5.5 as a fraction ?

Answer:

Step-by-step explanation:

A is not graphed correctly. The graph is turned upside down from what it should be.

The corresponding output value is y = -2 when x = 3 in the equation y = x - 5.

Given the equation in the question;

y = x - 5

Input value x = 3

Output value y = ?

The equation given is y = x - 5.

This equation is in the form y = f(x), which means that given an input value x, we can find the corresponding output value y.

In this case, we are given an input value of x = 3 and we need to find the corresponding output value y.

To do this, we simply substitute x = 3 into the equation and solve for y:

y = x - 5

Plug in x = 3

y = 3 - 5

y = -2

Therefore, when x = 3, the corresponding output value is y = -2.

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Answer:

blank=9

Step-by-step explanation:

95 kg is approximately equal to 209.4390 pounds ( rounded to four decimal places )

The conversion factor to convert kg to lbs is 2.20462

1 kg = 2.20462 pounds

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

The mass in lbs = The mass in kg × conversion factor

Substitute the values in the equation

1 kg = 2.20462 pounds

95 kg = 95 × 2.20462

Multiply the numbers

= 209.4390 pounds  ( rounded to four decimal places )

Therefore, 95 kg is 209.4390 pounds

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Minimum and Maximum Calculator is an online widget that helps you find the max and min values ​​of a function.

The maximum value is the point at which the function has the highest value of all other values, while the minimum value is the lowest value in the entire function.

The calculator returns the global maximum and minimum of the function along with a graph on the Cartesian plane as the solution. A min-max calculator is an online calculator that can be used to find the maximum and minimum values ​​of a mathematical function.

Finding the extreme values ​​of a function is also known as optimization. Feature optimization is a central concept in engineering, business, and machine learning.

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Answer:

x=60

Step-by-step explanation:

180 is the some of the angle of an triangle

in the left triangle the angle is = 180-70-75=35

in the right triangle the angle is=180-35-60=85

x=180-80-45=60

Answer:

Step-by-step explanation:

Remember: The three interior angles of a triangle will always add up to 180 degrees.

In order to solve for x, we need to solve for other missing angles

1) Solve for the missing angle on the triangle to the left.

180 - 75 -70 = 35 degrees.

2) Solve for the missing angle on the triangle to the right (not x).

180 - 60 - 35 = 85 degrees

3) Finally, solve for the x angle by subtracting 45 and 85 from 180. x = 50 degrees.

The angle of depression from point R to point S is ∠1.

The angle of elevation from point S to point R is ∠2.

∠2 is the angle of elevation from S to R.

∠1 is the angle of depression from point R to point S.

What is an angle of elevation?

The angle of elevation is the angle created between the line of sight and the horizontal. The angle created is an angle of elevation if the line of sight is upward from the horizontal line.

There is an angle of elevation from point R to S. Thus point R is lie above S.

The angle of depression from point R to point S is ∠1.

The angle of elevation from point S to point R is ∠2.

∠2 is the angle of elevation from S to R.

∠1 is the angle of depression from point R to point S.

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The standard deviation of a set of seventeen numbers described by Σx=272 Σx² = 11849​ is 21.

The term "standard deviation"  refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

We have Σx=272 and Σx² = 11849​.

n= 17

So, the Variance of the Data

= Σx²/n - (Σx/ n)²

= 11849 / 17 - (272/17)²

= 697 - 256

= 441

Then, the Standard deviation is

= √Variance

= √441

= 21

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The new volume of the cube is 1000 times the original volume. This means that the volume has increased by a factor of 1000.

Volume is a measure of the amount of space that a three-dimensional object occupies. It is a property of a solid shape, and is usually expressed in units of cubic units, such as cubic meters [tex](m^3[/tex]), cubic centimeters [tex](cm^3[/tex]), or cubic feet [tex](ft^3)[/tex].

The volume of a cube is given by the formula [tex]V = s^3[/tex] cube is multiplied by a factor of 10, then the new side length becomes 10s.

The new volume of the cube can be calculated as follows:

V' = [tex](10s)^3[/tex]

= [tex]10^3[/tex] * [tex]s^3[/tex]

= 1000 *[tex]s^3[/tex]

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The cube's new volume is 1000 times larger than its old volume. This indicates that the capacity has multiplied by 1000.

Describe volume?

The quantity of space a three-dimensional object takes up is measured by its volume. It is a characteristic of solid shapes and is frequently stated in cubic unit measurements like cubic meters, cubic centimeters, or cubic feet.

The method for calculating a cube's volume is cube times a factor of 10, where the new side length is 10s.

The new volume of the cube can be calculated as follows:

V' = [tex]s^{3}[/tex]

   = [tex](10s)^{3}[/tex]

[tex]V'=1000 s^{3}[/tex]

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The fraction of the value given as 125% can be expressed by the term of  125% = 5/4.

A ratio in which the total value is always 100 is a ratio, and a percentage is a portion of that ratio.

To represent a portion of a whole, we utilise fractions. Now, we must translate a percentage to a fraction.

Use the instructions below to convert 125% to a fraction:

First, add the percent sign.

Divide the supplied percentage by 100 to express it as a fraction.

As a result, we can write as 125/100.

To simplify the fraction, divide the numerator and denominator by their respective HCFs.

Now, 125 percent can be expressed as 125/100.

When the given fraction is simplified, we obtain

[Dividing the numerator and denominator by their HCF, which is 25]: 125/100 = 5/ 4

Hence, the fraction of 125% is 5/4.

Using a percent to fraction calculator is another way to confirm.

Hence, the fraction of 125% is 5/4.

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answer:

answer:1/8

answer:1/8explanation :

answer:1/8explanation :0.125 as a fraction in simplest form is 1/8

answer:1/8explanation :0.125 as a fraction in simplest form is 1/8Step 2: Find the HCF or the highest common factor of 125 and 1000.

answer:1/8explanation :0.125 as a fraction in simplest form is 1/8Step 2: Find the HCF or the highest common factor of 125 and 1000.hope this helped.

The measure of ∠S is 75 degrees

The cosine rule is for solving triangles which are not right-angled in which two sides and the included angle are given. The following are cosine rule formula:

cos(S) = (q² + r² - s²)/2qr  

where q, r and s are the lengths and Q, R and S are the angles

Using the formula:

cos(S) = (q² + r² - s²)/2qr

cos(S) = (99² + 17² - 96²)/(2*99*17)

cos(S) = 0.2597

S = cos⁻¹(0.2597)

S = 75 degrees

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To complete a ratio table, we need to find the missing values that would make the ratios equivalent. 82   19    4:1     164  38    4:1  57   13.5  4:1

328  76    4:1   410  95    4:1

To complete the given ratio table, we need to find the missing values that would make the ratios equivalent. Ratios are used to compare two or more quantities and are expressed in the form of a fraction, with the numerator representing one quantity and the denominator representing another.

Starting with the first row of the table, we can see that the ratio of the first two values is 82:19. To find the missing value in this row, we need to determine what value multiplied by 19 would give us 82. Using basic algebra, we can set up the equation

19x = 82

And solve for x, which gives us

x = 82/19.

= 4.32

This value is approximately 4.32. Therefore, the missing value in the first row is 82:19:4.32.

Moving on to the second row, we can see that the ratio of the first two values is 164:38. Similar to the first row, we can find the missing value by determining what value multiplied by 38 would give us 164.

Solving the equation

38x = 164

x = 164/38,

= 4.32.

Therefore, the missing value in the second row is 164:38:4.32.

In the third row, only one value is given, which means we need to determine the other value that would make the ratio equivalent to the previous rows.

Since the missing value in the first two rows is 4.32, we can set up the equation

57: x = 82/19

And solve for x.

This gives us x = 57 * (82/19), which is approximately 244.42. Therefore, the ratio in the third row is 57:244.42.

In the fourth row, we can use the same approach as the previous rows to find the missing value. Setting up the equation

76x = 328

x = 328/76,

which is approximately 4.32. Therefore, the missing value in the fourth row is 328:76:4.32.

Finally, in the last row, we are asked to explain the process of completing a ratio table. To complete a ratio table, we need to determine the missing values that would make the ratios equivalent. This involves setting up equations based on the given ratios and solving for the missing values. Once we have found the missing values, we can add them to the table and ensure that the ratios are equivalent across all rows

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To convert 5.5 cm to mm, we multiplied the length in centimeters by 10, which gave us 55 mm.

Measurement is an essential concept in mathematics and science that involves determining the size, quantity, or degree of something. The metric system is a standard measurement system that is widely used worldwide, and it includes units such as centimeters and millimeters.

Now, let's move on to your question about converting 5.5 cm to mm. Centimeters and millimeters are both metric units of length, with millimeters being smaller than centimeters. Therefore, to convert from centimeters to millimeters, we need to multiply the measurement in centimeters by 10.

We know that 1 cm is equal to 10 mm. So to convert 5.5 cm to mm, we can use the formula:

5.5 cm × 10 mm/cm = 55 mm

Therefore, 5.5 cm is equivalent to 55 mm.

It's important to note that when measuring, it's essential to use the appropriate units to get accurate results. In this case, we used the millimeter unit, which is suitable for measuring small lengths, to convert the 5.5 cm to a smaller unit, millimeters.

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Answer:

13

Step-by-step explanation:

943.50 + 31.50x = 1353

This is in the form y=mx+b.

To isolate for x, move 943.50 to the other side and subtract it from 1353.

31.50x = 409.50

now, divide by 31.50 to get x by itself.

x =13

The team can bring 13 players to the tournament.

Answer:

155.744

Step-by-step explanation:

The cross-section from any side in a square prism is always square.

A cross-section is the non-empty intersection of a solid body in three-dimensional space with a plane, or the analog in higher-dimensional spaces. Cutting an object into slices creates many parallel cross-sections.

Cross-section of a square prism :-

The cross-section of a square prism is a square. Since a square prism has its faces shaped in square and all the edges of the square prism are equal in length.

Therefore, when we cut the cube by a plane, we get a square shape.

Hence, the cross-section from any side in a square prism is always square.

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Answer: 152

Step-by-step explanation:

Length: f(x) = x+5

Width: g(x) = 7x-2

Area: A= f(x) *g(x)

A= (x+5)(7x-2)

= 7x^2 -2x + 35x -10

= 7x^2 +33x -10 // Substitute 3 in for x

=7(3)^2 +33(3) -10

=7(9) +99 -10

=63+99-10

=152

Answer:

152

Step-by-step explanation:

took the test xx

Secant can be defined as the reciprocal of cosine. Secant of angle A will be hypotenuse/adjacent.

There are three basic trigonometric ratios. Sin, Cos and Tan.

Sin = opposite side/ hypotenuse

Cos = adjacent side/ hypotenuse

Tan = opposite side/ adjacent side

Here in the give image, Sin(A) = a/c

                                        Cos(A) = b/c

                                        Tan(A) = a/b

There are reciprocals for each trigonometric functions

Cosecant is the reciprocal of sine. Cosec(A) = c/a

Secant is the reciprocal of  Cosine. Sec(A) = c/b

Cotangent is the reciprocal of Tangent . Cot(A) = b/a

So secant is one of inverse trigonometric functions.

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The corresponding parts are as follows;

Angle ATS = Angle ABC

side AS = side AC

Angle SAT = Angle CAB

Angle AST = Angle ACB

Side AT = Side AB

ΔABC ~  ΔDEF  only if ratio of two sides of ΔABC and corresponding two sides of ΔDEF is equal and the angle included in both sides are congruent.

Suppose the two sides of ΔABC are AB and BC, and that of DEF be DE and EF.

For two similar figures, the pair by pair similar angles of those two similar figures are called corresponding angles. They are of same measurement.

We are given the similar triangles as;

ΔACB =  ΔAST

Angle ATS = Angle ABC

side AS = side AC

Angle SAT = Angle CAB

Angle AST = Angle ACB

Side AT = Side AB

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Answer:

A

Step-by-step explanation:

P = 4 pi I r^2    solve for I      Divide both sides by 4 pi r^2

to get

I = P / (4 pi r^2)

The politician should obtain a sample of at least 602 voters to estimate the proportion of voters supporting her position on forced busing with a 90% level of confidence and a 4% margin of error.

What is the proportion?

A proportion is two ratios that have been set equal to each other; a proportion is an equation that can be solved. When I say that a proportion is two ratios that are equal to each other, I mean this in the sense of two fractions being equal to each other. For instance, 5/10 equals 1/2.

To determine the sample size needed to estimate the proportion of voters supporting a certain position within a certain margin of error and level of confidence, we can use the following formula:

n = (Z² * p * (1 - p)) / E²

where:

n is the sample size

Z is the z-score corresponding to the desired level of confidence (in this case, 90%, which corresponds to a z-score of 1.645)

p is the estimated proportion of voters supporting the politician's position (we don't have an estimate, so we'll use 0.5, which maximizes the sample size and provides the most conservative estimate)

E is the desired margin of error (in this case, 4%, which is equivalent to 0.04)

Substituting the values given, we get:

n = (1.645² * 0.5 * (1 - 0.5)) / 0.04²

n = 601.5625

We need to round up to the nearest whole number since we can't have a fractional sample size, so the minimum sample size needed is 602 voters.

Therefore, the politician should obtain a sample of at least 602 voters to estimate the proportion of voters supporting her position on forced busing with a 90% level of confidence and a 4% margin of error.

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15/32 inches is equivalent to 11.90625 mm

Unit conversion is the process of converting a quantity from one unit of measurement to another. The unit conversion method involves multiplying the original quantity by a conversion factor that expresses the relationship between the original unit and the desired unit.

1 inch =  25.4 mm

1 mm = 0.1 cm

We have 15/32 inch

Converting the fraction into decimal part, we obtain 0.46875 inch

Now, 0.46875 inch = 0.46875 * 25.4 mm

                                 = 11.90625 mm

                                 = 11.90625 * 0.1 cm                

                                  = 1.190625 cm

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Answer:

about 30.9 feet

Step-by-step explanation:

Using the Pythagorean Theorem:

[tex] {l}^{2} + {10}^{2} = {32.5}^{2} [/tex]

[tex] {l}^{2} = 956.25[/tex]

[tex]l = 30.9[/tex]

The fraction n/8 is between 4/5 and 1. To calculate all the possible values of n, use the following equation:  n = (4/5)*8 = 6.4

Since n is a fraction, the possible values are 6, 6.4, 6.8, 7.2, 7.6, 8, and 8.4.
The possible values of n for the fraction n/8 to be between 1/2 and 4/5 are 5, 6, and 7.

To find the possible values of n, we can cross-multiply and compare the fractions.

1/2 < n/8 < 4/5

Cross-multiplying gives us:

8 < 2n < 32

Dividing by 2 gives us:

4 < n < 16

The possible values of n are the integers between 4 and 16, which are 5, 6, and 7.

Therefore, the possible values of n for the fraction n/8 to be between 1/2 and 4/5 are 5, 6, and 7.

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Answer:

A. –8.6, –5.0, –1.4, 2.2, 5.8, …

C. 5, 1, –3, –7, –11, …

D. –3, 3, 9, 15, 21, …

Step-by-step explanation:

If a sequence is an arithmetic sequence, the difference between any two terms must be the same for all terms.

This is known as the common difference

The correct choices are:
A : Common Difference = 3.6

C. Common difference = -4

D. Common difference = 6

The solution is, The value of x is 21.4.

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangle triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and other angles of the right triangle.

here, we have,

The height of the right-angle triangle is 11. The hypotenuse of the right-angle triangle is x.

The measure of the angle opposite to height is 31°.

The sine of an angle is the ratio of height to the hypotenuse.

Therefore,

sin 31° = height/hypotenuse

sin 31° = 11/x

Multiply x with both sides:

x sin 31° = 11

Divide sin 31° with both sides:

x = 11/ sin 31°

x = 21.35

x ≈ 21.4 units

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No,Sarah would have 16 small stones and 14 large stones on the sixth day, since it's +4 small stones and +3 large stones per day. You must show your working if you want the marks. Best of luck!

The area of the triangular prism is 240 mm²

A triangular prism is a prism with three rectangular faces connecting its two congruent triangular faces. It consists of 5 faces, 6 edges, and vertices.

The sum of the areas of all the triangle's faces is the surface area. By using the net of a prim we can determine the area of the prism as given below. Here we calculate the individual parts of the net to get the total area.

Here we have

A right triangular prism and its net  

The area of the prism can be calculated by calculating the area of the 2 triangles and the areas of 3 rectangles in the given net

As we know Area of rectangle = Length × Width

Area of rectangle parts = [ 3 × 8 ] + [ 3 × 15 ] + [ 17 × 3 ]

= 24 mm² + 45 mm² + 51 mm²

= 120 mm²  

Area of triangle parts = 2 [ 1/2 (15 × 8) ]

= 120 mm²  

Total area of prism = 120 mm² + 120 mm² = 240 mm²

Therefore,

The area of the triangular prism is 240 mm²

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