For what values of c and d would the rectangles be similar?

The value of x is ±√(42 -  y² - z²).

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.

There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators.

Given:

x² + y² + z²=k

As, it is given that k = 42.

So, x² + y² + z²=k

x² + y² + z²= 42

x² = 42 -  y² - z²

x=±√(42 -  y² - z²)

Hence, the value of x is ±√(42 -  y² - z²).

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3/7 of 6/1 means [tex]6(\frac{3}{7})=\frac{18}{7} =2\frac{4}{7}[/tex]

hope this helped

Answer:

Answer is in the picture attached

The equation that best represents a the given situation is: 3n + 3 = 303., as found by number system.

A system of writing numbers is known as a number system. It is the mathematical notation for consistently employing digits or other symbols to represent the numbers in a particular set. It represents the arithmetic and algebraic structure of the numbers and gives each number a distinct representation.

Given: Sum of three consecutive integers is 303.

n = smallest integer.

According to question, the other two integers are: n + 1, and n + 2.Since the sum of the three consecutive integers is 303, addition operation on the values of number system

n + n + 1 + n + 2 = 303

3n + 3 = 303.

Hence, The equation that best represents a the given situation is:

3n + 3 = 303., as found by number system.

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If the population of Nebraska was 1.8×[tex]10^{6}[/tex], then the state which had a smaller population is Rhode Island

Given,

The population of Nebraska = 1.8×[tex]10^{6}[/tex]

The population of Rhode Island = 1.1×[tex]10^{6}[/tex]

1.1×[tex]10^{6}[/tex] <  1.8×[tex]10^{6}[/tex]

So, Rhode island has population less than Nebraska

Hence, if the population of Nebraska was 1.8×[tex]10^{6}[/tex], then the state which had a smaller population is Rhode Island

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Answer: 3/4

Step-by-step explanation:

See attached work. Remember when dividing fractions, you must multiply by the reciprocal of the second fraction.

Answer: 22, 15.4, 26.857

Step-by-step explanation:

sin 55=0.819

22/0.819=26.857

sin 35=0.5736

26.857*0.5736=15.4

sin 90=1

26.857*1=26.857

22, 15.4, 26.857

Answer:

7/10 %

Step-by-step explanation:

Answer:

i think its answer is A or D

Answer:

y =2/3 =4/3x

Step-by-step explanation:

Answer:

15, 21, 27

Step-by-step explanation:

[tex]a_n}[/tex] = [tex]a_{1}[/tex] + (n-1)d  

[tex]a_{n}[/tex] is the number in the sequence we are looking for

[tex]a_{1}[/tex]  This is the first term in the sequence that we do not know and we are looking for

n stands for the number of the term and d is the common difference.  We will put in all that we know and solve for the first term.

609 = [tex]a_{1}[/tex] + (100-1)6  

609 =[tex]a_{1}[/tex] + (99)6

609 = [tex]a_{1}[/tex] + 594  Subtract 594 from both sides of the equation

15 = [tex]a_{1}[/tex]

Now that we know that the first term is 15 we just add 6 to get the next term which is 21 and then add 6 again to get the last term 27.

Answer:

15 games

Step-by-step explanation:

Since the team won 80% of the games and won 12, we can put these into an equation.

80% is also 0.8 so:

x * 0.8 = 12

To find x we can simply do 12 divided by 0.8 which equals =

15

Answer:

36

Step-by-step explanation:

The constant is the number when complete simplified, which in this case would be only formed by squaring the 6, equaling 36.

Hope this helps! :)

Answer: +36

Step-by-step explanation:

(x - 6)² simplified: x^2 -12x + 36

The constant in this algebraic expression is 36 because it's value or number doesn't change in the expression (x^2 -12x + 36)

No, this is not an accurate predictor because angie is not representative of the population in the algebra test.

Here,

Angie, a student in an advanced statistics course, was given an algebra test and she scored 80%.

We have to find is this an accurate predictor.

What is Accurate predictor?

Accurate predictor describes whether the predicted values match the actual values of the target field within the incertitude due to statistical fluctuations and noise in the input data values.

Here,

Angie is the student of an  advanced statistics course but she gives the algebra test and scored 80%.

We know that the advanced statistics is the higher level of math so it is not an accurate predictor.

Because, An accurate predictor should be applied when the person is 100% confirmed to the related thing. So in the given situation, the student is not 100% confirm.

Hence,  this is not an accurate predictor because Angie is not representative of the population in the algebra test.

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

Work Shown:

[tex]a^2 + b^2 = c^2 \ \ \text{ ... pythagorean theorem}\\\\12^2 + 9^2 = c^2\\\\144 + 81 = c^2\\\\225 = c^2\\\\c^2 = 225\\\\c = \sqrt{225}\\\\c = 15\\\\[/tex]

In the possible diagram of the house, the lines formed by intersecting planes are; [tex] \overline{AG}[/tex], [tex]\overline{ AB}[/tex], [tex]\overline{AH}[/tex], [tex]\overline{GF}[/tex], [tex]\overline{ BH}[/tex], [tex]\overline{HF}[/tex], [tex]\overline{BC}[/tex], [tex]\overline{ HD}[/tex], and [tex]\overline{FE} [/tex]

The diagram found in a similar question has points A, G, B, H, and F on the roof.

The points on the walls of the house are; B, H, F, C, D, and E

A plane in Euclidean geometry is a surface that is flat, such that a line that connects two points on it lie completely on the plane.

A plane can be identified by three non collinear points that lay on it.

A line is a figure that does not have a curvature, width or depth, and it is infinitely long.

The planes on the roof are; ABH and AGHF

The planes on the walls of the house are; BCDH, and HDCF

The lines that are formed by the intersecting planes are therefore;

On the roof;

Between the roof and the walls of the house;

Between the two sides of the walls;

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The expression  4x²×[tex]\sqrt{5x^{4} }[/tex] ×3[tex]\sqrt{5x^{8} }[/tex] is equivalent to 60 [tex]x^{8}[/tex] if x≠ 0 which is option B

We have to simplify the given equation 4x²×[tex]\sqrt{5x^{4} }[/tex] ×3[tex]\sqrt{5x^{8} }[/tex] in order to find its equivalent

Which can be simplified using the basics of square and square roots

Square and square root gets cancelled for example [tex]\sqrt{x^{2} }[/tex] = x and powers get added when same bases are multiplied for example x² × x³ = [tex]x^{2+3}[/tex] =[tex]x^{5}[/tex]

Also √25 can be written as  5

At x = 0 the whole expression can be written as zero

4x² ×√[tex]\sqrt{5x^{4} }[/tex] ×3[tex]\sqrt{5x^{8} }[/tex]

12x²×[tex]x^{2} \sqrt{5}[/tex] ×[tex]x^{4} \sqrt{5}[/tex]

12[tex]x^{8}[/tex] ×√25

60 [tex]x^{8}[/tex]

Hence, The expression  4x²×[tex]\sqrt{5x^{4} }[/tex] ×3[tex]\sqrt{5x^{8} }[/tex] is equivalent to 60 [tex]x^{8}[/tex] if x≠ 0 which is option B

The correct question is Select the correct answer.

Which expression is equivalent to 4x²√5x4 3√5x8, if x≠0?

OA. 12x¹0 √5

OB. 60x8

OC.35x18

O D. 7x¹⁰ √5

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Solution:

A. [tex](3-\sqrt{2}, 3+\sqrt{2})[/tex]

Hope this helps!

Answer:

- 4/5 /decimal form -0.8

Step-by-step explanation:

Answer:

"Defined items" are defined in terms of "undefined terms".

Step-by-step explanation:

None.

Using the concepts of continuous and discrete variables it is found that the reaction time of students would be a continuous variable.

This problem is incomplete, but researching it on a search engine, it asks to classify the variable reaction time of students as discrete or continuous.

A reaction time of 500.5 milliseconds is a valid reaction time, hence a decimal value is accepted, meaning that the reaction time of students would be a continuous variable.

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90% confidence interval is 11.65 <µ< 114.566 as per standard deviation data.

What is a standard deviation?

Sample mean (T) = 13.11%

Sample standard deviation (s) = 2.6

Sample size (h) = 25

significance level = α = 1 -0.90 = 0.1

Degrees of freedom for t- distribution (df) = 24

Critical value = ta/2

df = [tex]t_{0.1}[/tex], df=24 = ±2.80

The margin of error (E) =[tex]t_\frac{a}{2} , df\frac{s}{\sqrt{h} }[/tex]

E=2.8X [tex]\frac{2.6}{\sqrt{25} }[/tex] =1.456

Limits of 90%. Confidence Interval is.

Lowest limit = X' - E = 13.11-1.456 = 11.65

Upper limit= X' + E = 13.11+1.456 = 14.566

90% confidence interval is 11.65 <µ< 114.566 as per standard deviation data.

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Answer:

D, [tex]w\geq 23[/tex]

Step-by-step explanation:

The length is 6 inches longer than it's width, therefore:

[tex]l=w+6[/tex]

The area of the rectangle is AT LEAST 667 square inches, so:

[tex]lw\geq 667[/tex]

Now, we have a system of two equations:

[tex]\left \{ {{l=w+6} \atop {lw\geq 667}} \right.[/tex]

We want to isolate the width, so substitute the first equation into the second to eliminate the length.

[tex](w+6)w\geq 667[/tex]

Simplify:

[tex]w^2+6w\geq 667[/tex]

Since we now have a polynomial equation that needs to be factored, set the value of one side to 0.

[tex]w^2+6w-667\geq 0[/tex]

Now factor the equation:

[tex](w-23)(w+29)\geq 0[/tex]

Taking each factor individually, we find the following:

[tex]w\geq 23\\w\geq -29[/tex]

Since a negative width doesn't make any sense, we can eliminate that solution, and we are left with the correct answer!

[tex]w\geq 23[/tex]

The image of D surely lies on the ray BA ,as ray BA is antiparallel to the ray BD.

Consider D’ to be the image of point D obtained ,when D is rotated 180 degrees anti-clockwise(or counter-clockwise),with B as center of rotation.

From the image above,it is clear that the rays BA and BD are antiparallel.

A ray is a segment of a line with a starting point and an infinite length in one direction.

Antiparallel rays are the rays which are parallel but oppositely directed.The angle between such rays is 180 degrees.

Hence,D’ must lie on the ray BA, as ray BA is antiparallel to BD(i.e the angle between the rays is also 180 degrees).

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Answer:

In one gram, there are 1000 milligrams.

To convert g to mg, multiply the gram value by 1000.

Answer:

6

Step-by-step explanation:

The square's side will be √144 = 12

The largest circle will have diameter of 12 so it's radius will be 12/2 = 6

The simplified form of a given phrase x over 4 plus y over 3 all over the quantity x over 3 minus y over 4 is (3x + 4y) / (4x - 3y).

An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.

For example 3x +5y

Given the phrase,

x over 4 = x/4

y over 3  = y/3

Combine x/4 + y/3

x over 3 minus y over 4 = x/3  - y/4

Therefore ;

(x/4 + y/3) ÷ (x/3  - y/4)

⇒ (3x + 4y)/12 ÷ (4x - 3y)/12

The second fraction will inverse in multiplication

⇒ (3x + 4y)/12 × 12/(4x - 3y)

⇒ (3x + 4y) / (4x - 3y).

Hence "The simplified form of a given phrase x over 4 plus y over 3 all over the quantity x over 3 minus y over 4 is (3x + 4y) / (4x - 3y)".

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