Hello , this is a question on Geometry and I don’t understand how to do this can someone pls help me ?.

Answer:

6,192

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

cos(-315)° = cos 315°

cos 315° = cos 45°

This is equal to

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

Answer:

think its 175%

Step-by-step explanation:

Convert the fraction to a decimal, then multiply by 100  =175%

Answer:

slope 1/3

y = -2

x=1/3-2

Step-by-step explanation:

slope 1/3

y = -2

x=1/3-2

The result of simplifying each number (-343)¹/₃  using the properties of exponents is -7

To solve this exercise we have to resolve algebraic operations following the exponent properties.

(-343)¹/₃

Base= - 343

Exponent= 1/3

The base number -343 is the same as: -7³, then we get:

(-7³)¹/₃

Using the power of a power rule that indicates that: the exponent result will be the multiplication of these exponents, we have:

(-7)⁽³*¹/₃⁾

(-7)⁽³/₃⁾

(-7)⁽¹⁾

-7

In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.

Example: 3² = 3*3 = 9

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After direct variation y = 15 when x = 3.

So,

The initial statement is y = kx

Then to find y when x = 3.

When x = 3:

Therefore, after direct variation y =15 when x = 3.

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The sequence given by the terms 125,25,5 is a geometric sequence with common ratio 1/5.

In a geometric sequence, each term following the first is found by multiplying the preceding one by a constant, non-zero quantity known as the common ratio.

The nth term of a geometric series with first term a and common ratio r is given by [tex]a_n=ar^{n-1}[/tex] .

In the given sequence, the first term denoted by a is 125. The second term is 25 and the third term is 5.

Ratio of the second term to first term = 25/125 = 1/5

And the ratio of third term to second term is = 5/25 =1/5

Hence since the ratios are equal therefore the sequence is geometric, and the common ratio is 1/5 .

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Answer:

well, best i can do for you : F

Step-by-step explanation:

Calculator soup

I forgot how to do this stuff, sorry

Answer:

(8w+8x)(8w+8x)+(3w+10y)(3w+10y)+(4y+8x)(4y+8x)

Step-by-step explanation:

Using linear functions, it is found that:

a. The equations are given by: H(x) = 30 + 0.79x, R(x) = 75 + 0.55x.

b. The costs will be the same after 187.5 miles.

c. The estimate from the graph is reasonable, as it is the value of x for which both equations are equal.

A linear function is defined according to the following rule:

y = mx + b

In which:

For each function in the context of this problem, we have that:

Hence the equations for each company are given as follows:

The graph is given at the end of the answer, and from the intersection point, we have that the costs will be the same after 187.5 miles.

Numerically, this value is given as follows:

H(x) = R(x)

30 + 0.79x = 75 + 0.55x

0.24x = 45

x = 45/0.24

x = 187.5.

Hence the estimate from the graph is reasonable.

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A student is not correct when he stated that a triangle can be formed with side lengths 2 in, 3 in, and 6 in because 2 + 3 < 6.

A triangle is a polygon with three sides and three vertices.

To know if a set of numbers is a valid measure of the sides of a triangle, it must follow the Triangle Inequality Theorem which states that the sum of any two sides must be greater than the third side, such that a + b > c, a + c > b, and b + c > a.

Let a = 2, b = 3 , c = 6

a + b > c : 2 + 3 > 6     5 > 6     False

a + c > b : 2 + 6 > 3     8 > 3     True

b + c > a : 3 + 6 > 2     9 > 2     True

If at least one of these statements does not hold true, the measurements can't be the sides of a triangle.

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Each logarithm as the quotient of two common logarithms is :

[tex]\frac{log\\ 3.3}{log \\9}[/tex]

In, mathematics a logarithmic equation is inverse of exponential equation. That means, we can easily convert the logarithmic equation into exponential equation and vice versa. The basic form of the logarithm function can be written as  .

   [tex]log_ax=N[/tex]

where, a is the base of function or equation

           x define expression

Mathematically, if  [tex]a^N=x[/tex]  is an exponential function then, this can be converted to logarithmic function as  [tex]log_ax=N[/tex].

There are many formulas that are given to us for solving several simple and complex problems based on logarithmic functions and logarithmic equations.

Some important formulas of logarithms are :

The given expression is,

[tex]log_9{3.3}[/tex]

as, [tex]log_bm= \frac{log_cm}{log_cb}[/tex]

therefore ,

[tex]log_9{3.3}[/tex] =  [tex]\frac{log \ 3.3}{log \ 9}[/tex]

Hence,  logarithm as the quotient of two common logarithms is :

[tex]\frac{log\\ 3.3}{log \\9}[/tex]

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The height of the triangle whose base is 4 cm and area is 20 cm² is 10 cm .

It is given that base is 4 cm and area is 20 cm² .

Putting above values in area formula , we get

         Area = 1 / 2 × base × height

            20  = 1 / 2 × 4 × height

             20 = 2 × height

              10 cm = height

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The complete question is given below :

Find the height of the triangle whose base is 4cm and area is 20 cm².

Answer:

6(a+b)^2 + 4ab^2

Step-by-step explanation:

sum is addition (a+b)

product is multiplication (ab)

6(a+b)^2 + 4ab^2

The quotient of 1.843 × 10^7 and 4.85 × 10^4, expressed in scientific notation, is 3.8 × 10^2.

Scientific notation is a way of expressing a very large or a very small number that are too much to be written in decimal form. The scientific notation is represented as:

a × 10^b

where a is between 1 and 10 and b is an integer representing the number of zeros

To divide numbers in scientific notation,

1. Divide the decimal numbers.

1.843 ÷ 4.85 = 0.38

2. Subtract the exponents of your power of 10.

7 - 4 = 3

3. Place the new power of 10 with the decimal in scientific notation form.

0.38 × 10^3 = 3.8 × 10^2

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Using the line of best fit, the correct statement that describes this result is given by:

D. The result is an outlier and there is no gap in the data.

The statements are missing, and are given as follows:

A. The result is not an outlier and there is a gap in the data.

B. The result is not an outlier and there is no gap in the data.

C. The result is an outlier and there is a gap in the data.

D. The result is an outlier and there is no gap in the data.

The line of best fit gives the expected exam score for a student that studies x hours. For example, for a student that studies 16 hours, the expected score is of 90.

The actual score is 61.4%, which is significantly less than the expected score, meaning that there is an outlier. However, there are no gaps in the data-set, as as the line considers students between 0 and 20 hours, and 16 is in this interval.

This means that option D is correct.

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Note: 1.5 = 3/2

=======================================================

Explanation:

The two points shown on the graph are located at (-3, -2) and (1, 5)

Let's focus on the x coordinates for now.

To find the midpoint of -3 and 1, we do two things in the order shown

Therefore, -1 is the midpoint of -3 and 1 on the number line.

It is also the x coordinate of the midpoint.

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

Repeat these steps for the y coordinates of the given points.

This is the y coordinate of the midpoint.

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

The midpoint overall is located at (-1, 1.5)

I used GeoGebra to confirm the answer as correct.

The two strands of Decorative light will shine at same time after every 15 seconds.

The stated condition are-

The light strand one change color every 30 seconds.

The light strand second change color every 45 seconds.

Prime factorization of both number are;

30 = 2×3×5

45 = 3×3×5

The numbers with highest power are;

HCF(30, 45) = 3×5 = 15.

Thus, the time after which both the light strands will change colour at the same time is 15 seconds.

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The solution of the given equation by rounding off it to the nearest ten-thousandth is 7.8295.

What is a round-off of the digit?

In mathematics, a round-off is defined as an approximation of the given number to a fewer number of significant digits by taking into consideration some rules.

For eg: 13.58 ~ 13.6

Solving the given equation: log₇3x = 3

We are given a logarithmic expression: log₇3x = 3        —- 1

We know that log₇3 = log 3 / log 7 and log (ab) = log a + log b

Using in equation 1, we have,

log₇3x = 3

log 3x / log 7 = 3

(log 3 + log x) / log 7 = 3

log 3 + log x = 3 × log 7

log 3 + log x = 2.535

log x = 2.535 - 0.4771

log x = 2.0579

x = 7.8295

Hence, the solution of the given equation rounded off to the nearest ten-thousandth is 7.8295.

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The mean of the combined group of classes is 69.35

Mean is given by by dividing the sum of the given numbers by the entire number of numbers, the mean—the average of the given numbers—is determined. Mean is equal to (Sum of All Observations/Total Observations).

It is given that,

The mean of test scores of a class having 35 students = 73.1

And,

The mean of test scores of a class having 26 students = 65.6

We need to find,

The mean of the combined group of classes = mean of both classes

Mean of both classes = [tex]\frac{73.1 + 65.6}{2}[/tex]

= [tex]\frac{138.7}{2}[/tex]

= 69.35

Hence, 69.35 is the mean of the combined group of classes

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Answer:

Actual cost = 35.89 + 43.65 = 79.54  so it is some what lower than estimated cost.

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Rational numbers include all integers and fractions. All negative integers and whole numbers make up the set of integers. Whole numbers comprise of all natural numbers and zero.

Every Rational number is not a whole number because A whole number is a component set of zero and all positive numbers such as 0, 1, 2, 3, 10, 15,… include only positive integers. It excludes negative integer, decimal, and fractional values .

Rational Number includes all the fractions, integers as well as decimal numbers.

Here set of whole number like 3, 4, 5 we can write this number as a fraction of 1 like 3/1, 4/1, 5/1… in ratio of two integers. Therefore every whole number is a rational number but every rational number is not a whole number.

Whole numbers are that starts from 0 to infinity. Whole numbers can be written in the form of 0/1, 1/1, 2/1, … Thus, every whole number is a rational number but every rational number is not a whole number.

The sequence of transformations that take quadrilateral ABCD to quadrilateral A'B'C'D' is given by:

Examples of transformations are given as follows, along with explanations on the changes caused by the transformations.

As a dilation changes the side lengths the figure, a dilated figure is not congruent to the original figure, hence a dilation does not happen for this problem.

The first change was in the inclination and orientation of the figure, hence it underwent a rotation. From the movement of the vertices, for example, A to the bottom to the top, B from right to left, the rotation was of 90º clockwise.

Then, the function had the base at the same position, however it moved left, hence the second transformation was a translation left.

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The property illustrated by the statement where the equation is given as (7a * 2b) + 3c = 3c + (7a * 2b) is the Commutative Property of Addition

The equation is given as

(7a * 2b) + 3c = 3c + (7a * 2b)

The Commutative Property of Addition states that

a + b = b + a

In this case

a = (7a * 2b) and b = 3c

When the Commutative Property of Addition is applied using the above variables, we have

(7a * 2b) + 3c = 3c + (7a * 2b)

Hence, the property illustrated by the statement where the equation is given as (7a * 2b) + 3c = 3c + (7a * 2b) is the Commutative Property of Addition

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Step-by-step explanation:

12x - 15 - 2x + 6 = 7

10x - 9 = 7

10x = 16

x = 16/10

x = 8/5

Simplify by expressing 32 as a product of its prime factors. Write it in index form and apply the power rule: (a^m)^n = a^mn

32 =2x2x2x2x2 = 2^5

(-2^5)^6/5 = -2 ^ 5x6/5 = -2^6

= -64

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The result of simplifying each number (-32)⁶/₅  using the exponent rules is 64  

To solve this exercise we have to resolve algebraic operations following the exponent rules.

(-32)⁶/₅  

Base= -32

Exponent = 6/5

The base number -32 is the same as: -2⁵, then we get:

(-2⁵)⁶/₅  

Using the power of a power rule that indicates that: the exponent result will be the multiplication of these exponents, we have:

(-2)⁵*⁶/₅  

(-2)⁶

64

In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.

Example: 3² = 3*3 = 9

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