If a building that is 6 stories tall has a shadow that is 24 meters long, how many stories tall is a building with a shadow that is 40 meters long?

Answer:

[tex]\textsf{9.} \quad \textsf{Vertices}:\;\;(0, 1) \;\; \textsf{and} \;\; (10, 1)[/tex]

[tex]\textsf{10.} \quad \textsf{Minor axis}:\;\;2\sqrt{21}[/tex]

[tex]\textsf{11.} \quad \textsf{Eccentricity}:\;\;\dfrac{2}{5}[/tex]

[tex]\textsf{12.} \quad \sf See\;attachment[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{9.2 cm}\underline{General equation of an ellipse}\\\\$\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1$\\\\where:\\\phantom{ww}$\bullet$ $(h,k)$ is the center\\ \phantom{ww}$\bullet$ $(h\pm a,k)$ or $(h,k\pm b)$ are the vertices\\ \phantom{ww}$\bullet$ $(h\pm c,k)$ or $(h,k\pm c)$ are the foci where $c^2=a^2-b^2$\\\end{minipage}}[/tex]

Given:

The center of an ellipse is the midpoint of the foci.

Therefore, the center (h, k) of the ellipse is (5, 1), so:

The foci are on the major axis of an ellipse.

Given that the y-values of the given foci are the same, the ellipse is horizontal.

The foci of a horizontal ellipse are (h±c, k)

[tex]\implies 5-c=3 \implies c=2[/tex]

[tex]\implies 5+c=7 \implies c=2[/tex]

The major axis of a horizontal ellipse is 2a.

If the major axis is 10, then a = 5.

The vertices of a horizontal ellipse are (h±a, k).  

Therefore the coordinates of the vertices are:

The minor axis of a horizontal ellipse is 2b.

As c² = a² - b² then b = √(a² - c²).

[tex]\implies b=\sqrt{5^2-2^2}=\sqrt{21}[/tex]

Therefore, the minor axis is 2√(21).

The eccentricity of the ellipse is:

[tex]\implies e=\dfrac{c}{a}=\dfrac{2}{5}[/tex]

The length is 14 ft, the width is 10 ft, and the area of the rectangle is 140 square feet.

The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies.

Given that the scale of the plan is:

Scale = 4 in: 5 ft = [tex]\frac{5ft}{4in}[/tex]

Multiply the length of the studio with the given scale:

[tex]l= 11.2\cancel{\text{ in}} (\frac{5\text{ ft}}{4 \text{ in}}) \\\\l = 14 ft[/tex]

Multiply the width of the studio with the given scale:

[tex]w= 8\cancel{\text{ in}} (\frac{5\text{ ft}}{4 \text{ in}}) \\\\w = 10 ft[/tex]

The area of the rectangle is given by the formula:

[tex]A= l * b[/tex]

Substitute the value of l = 14 and w = 10:

[tex]A= (14)(10)\\\\\\A= 140 ft^2[/tex]

Hence, the length is 14 ft, the width is 10 ft, and the area is 140 square feet.

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27 /20 miles farther Leah and Lee hike on Saturday than on Sunday.

Leah and Lee hiked last weekend.

Day Saturday| 7 3/4 ,Sunday| 5/ 25 ,Distance (Miles)

Solution: lean and lee hiked last weekend and on saturday 7  3 / 4 mileson Sunday = 5 2/5 miles

so,

distance leah and lee hiked farther on Saturday than Sunday = (7 3/4 miles - 5 2/5 miles)

Leah and Lee hike on Saturday than on Sunday:

31 / 4 miles - 27 / 5 miles

( 155 - 108 )  / 20 miles

47 / 20  miles

= 27 /20 miles

27 /20 miles farther Leah and Lee hike on Saturday than on Sunday.

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Using the concept of angle in a straight line and the vertically opposite angles, The answer is x= [tex]7^o[/tex] and z =[tex]105^o[/tex].

An angle is a measure of the amount of rotation between two lines or planes. It is typically measured in degrees or radians. An angle can be defined as the amount of rotation needed to bring one line or plane into coincidence with another. Angles are often represented graphically as a central point, called the vertex, and two rays that extend from the vertex in different directions. The angle is the amount of rotation needed to rotate one ray so that it coincides with the other ray.

Vertically opposite angles are a pair of angles that are opposite each other and have the same vertex, with the rays of the angles extending in opposite directions. They are formed when two lines intersect at a right angle. For example, in the letter "L" shape, the angles in the corner of the "L" shape are vertically opposite angles. They are congruent angles and supplementary angles, meaning they add up to 180 degrees.

An angle in a straight line is when two lines are in the same straight line and forms an angle of 180 degree. It is also called a straight angle. A straight angle is formed when a line is bent so that its two endpoints are in the same location, creating an angle of 180 degrees. The rays of the angle are in the opposite direction, hence it is also known as straight angle.

75 = 8x+19 (Vertically opposite angles)

75-19 = 8x

x=56/8 = [tex]7^o[/tex].

75+z =180 (Angle in a straight line)

z=180-75 = [tex]105^o[/tex].

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Need to ensure there is enough, but not too much, data One review identified that samples of 20 and 30 were the most common with 25-30 being a typical recommendation.

Sampling means selecting the group that you will actually collect data from in your research.

Characteristics of Qualitative research and sample size:

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Therefore ,we can state that after resolving the given problem of equation, x = 3 .

A mathematical formula known as an equation combines two assertions using the equal sign (=) to denote equivalence. An equation is an empirical statement that proves the equality among two mathematical expressions, according to the definition of an explanation in algebra. The variables 69x + 7  and 14 are divided by an equation in the solution 56 + 5 = 14, as example. Mathematical equations are used to express the relationship between two words from either end of a letter. In most cases, the symbol serves as the sole variable. a good example

is 2x - 4 = 2.

Here,

At this location, we have

=> x + 2 = 5

=> x = 3

now,

=> 5x= 15

=> x = 15/5

=>x =3

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The question is "Solve for x for the equations  x+ 2 = 5  and 5x =15"

Yes, It is necessary to rename 4(1/4) to 3(2/4) when 3/4 is subtracted with 4(1/4).

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

4(1/4) - 3/4

= 17/4 - 3/4

= (17 - 3) / 4

= 14 / 4

= 3(2/4) or 3(1/2)

Thus,

We can rename 4(1/4) to 3(2/4).

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The complete question:

Explain Why It Is Necessary To Rename 4 1/4 If You Subtract 3/4 From It?

Answer:

P.E.M.D.A.S

(PARENTHESIS .1

(EXPONETS .2

(MULTIPLICATION .3

(DIVISION .4

(ADDITION .5

(SUBTRACT .6

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

two - 4s

Answer:

130 fr

Step-by-step explanation:

Distance (d) from home plate to second base:

d² = 90² + 90² = 16200

d = [tex]\sqrt{16200}[/tex] = 127.28 ≅ 127

Now add the 3 ft behind home plate:

127 + 3 = 130 ft

Step-by-step explanation:

$60 as Carl gets more than the other 2

This is calculated by multiplying the proportion of members who said jazz is their favorite type of music (222222/555555) by the total cost number of Bounce Club members (422422422).

1. Calculate the proportion of members who said jazz is their favorite type of music:

222222/555555

= 0.4

2. Multiply the proportion (0.4) by the total number of Bounce Club members (422422422):

0.4 x 422422422

= 400,000

The survey asked 555555 members of the Bounce Club about their favorite type of music and 222222 said that jazz was their favorite type of music the proportion of members who said jazz is their favorite type of music (222222/555555) was multiplied by the total number of Bounce Club members (422422422). This calculation resulted in a most reasonable estimate of 400,000 members whose favorite type of music is jazz.

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Answer:

y = 8

Step-by-step explanation:

18 + 2y = 34  Subtract 18 from both sides

18 - 18 + 2y = 34 - 18

2y = 16  Divide both sides by 2

[tex]\frac{2y}{2}[/tex] = [tex]\frac{16}{2}[/tex]

y = 8

Check:

18 + 2y = 34

18 + 2(8) = 34

18 + 16 = 34

34 = 34

Answer:

Step-by-step explanation:

(5/6)(5/6) (-5/6)(5/6)

(5/6)(-5/6) (-5/6)(-5/6)  they  are they same but  you can also change them  and they will  still be the  same just backwords

Hope that helps

260

An average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.

how to calculate the average(avg) = sum of all terms/number of terms.

According to the question:

Mariella had compared 9 brands later on she wanted to even compare the other 2 brands so the average has to be calculated to 11 brands (9+2).

We can formulate it as (292 +282+ 9*254)/11

As we simplify the question we equate it as:

 (292 +282 +2286)/11

  2860/11 = 260

hence, the average is 260.

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Answer:

It's a IQ based question

if you focus you'll see first is 1 then 3, 6,9

difference is increasing 2, 3, 4 then next one will be 5. it's quite simple

Answer:

63.819

Step-by-step explanation:

1.3% = 1.3/100 = 0.013

Then;

63 + 63*0.013 = 63 + 0.819

= 63.819

The assertion that there aren't many extra genes in humans compared to other organisms would be the one this statement would most strongly support.

Genes are stretches of DNA that aid in the precise determination of each trait. The primary biological factor transmitted from parent to child. Genes are composed of DNA sequences and are organised sequentially at specified sites on chromosomes in the cell nucleus.

The human genome project estimates that we contain between 20,000 and 25,000 genes. Daphnia, a microscopic eating flea, contains 31,000 genes, the most of any animal.

Therefore, the claim that there are not particularly many genes in humans compared to other organisms would be most strongly supported by this statement.

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The claim that humans have more number of genes than chickens and grapes

The statement provided by Roberta states that the chicken genome has about 17,000 genes, and the grape has about 30,000 genes. This statement indicates that grapes have more genes than chickens. Therefore, it can be inferred that humans have more genes than chickens and grapes, as humans typically have more complex genomes than other species.

Roberta cites the following statement as evidence for a claim. "the chicken genome has about 17,000 genes, and the grape has about 30,000 genes. " From this statement, it can be inferred that humans have more genes than chickens and grapes. This is because humans typically have more complex genomes than other species, and the statement provided suggests that grapes have more genes than chickens. Therefore, the claim that humans have more number of genes than chickens and grapes would be most strongly supported by this statement.

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Answer:

y = 3.5

Step-by-step explanation:

0.5y - 2 = 0.25x ( add 2 to both sides )

0.5y = 0.25x + 2 ( divide through by 0.5 )

y = 0.5x + 4

when x = - 1 , then

y = 0.5(- 1) + 4

  = - 0.5 + 4

  = 3.5

Answer:

Step-by-step explanation:

step 1.  0.5y-2=0.25x

step 2 0.5 y-2=0.25(-1)

step 3 0.5y = 1.75

step 4 y = 3.5

Working together, Frank and Joe could mow both of their yards in a fraction of the time it would take them individually.

Frank can mow his own yard in 45 minutes.

Joe's yard is 40% larger than Frank's.

Therefore, Joe's yard would take 56 minutes (45 x 1.4) to mow.

The combined time for both yards would be 101 minutes (45 + 56).

This can be expressed as 01:15 (1 minute and 15 seconds).

Frank can mow his own yard in 45 minutes. Joe's yard is 40% larger than Frank's, so it would take Joe 56 minutes to mow his yard. If Frank and Joe worked together, it would take them a combined 101 minutes (45 + 56) to mow both yards. This can be expressed as 01:15 (1 minute and 15 seconds). This is the time it would take them to mow both yards, rounded to the nearest whole number. Working together, Frank and Joe could mow both of their yards in a fraction of the time it would take them individually.

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The terms related to the definition are given below.

Polynomials are expressions of the form,

a₀ + a₁ x + a₂ x² + ................. + aₙ₋₁ xⁿ⁻1 + aₙ xⁿ

where a's are the coefficients, x is the variable and n is the number of terms.

1. A term or a sum or difference of terms is AB) Polynomial

2. A polynomial that contains one term is E) Monomial

3. The number factor of a term that contains a variable is B) Coefficient

4. A polynomial written in descending order is D) Descending order.

5. A number, a variable or a product of numbers and variables is AD) Term.

6. A polynomial that contains two terms added or subtracted is A) Binomial.

7. A term that contains a number only is C) Constant

8. A polynomial that contains three terms added or subtracted is AE) Trinomial.

9. The arrangement of the terms of a polynomial in one variable in decreasing powers of the variable is AC) Standard form of a polynomial.

10. A symbol, usually a letter of the alphabet, that can be used to represent any number is BC) Variable.

Hence the terms related to the definitions are matched.

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It needs 1 [tex]\frac{3}{4}[/tex]gallons of 40% gloss and 3 [tex]\frac{1}{2}[/tex] gloss gallons of 25% gloss.

System of equations is a set or collection of equations that are dealt together. These equations can be solved graphically and algebraically. The point where two lines intersect is the solution to the system of equations. This article elaborates on Algebraic Technique To Solve System Of Equations.A linear equation is the one which has one or more variables and when plotted gives a straight line. Two or more linear equations consisting of two or more variables such that all equations are considered at the same time is called the system of linear equations.

Asume it needs x gallons of 40% gloss and y gallons of 25% glass

x+y=5.25

40% X+25% y = 30%×5.25

So x+y=5.25 ----------(i)

0.4x+0.25y = 15.75----------(ii)

(ii)*4 - (i)

4*(0.4x+0.25) -  (x+y)=15.75*4 - 5.25

0.6x=1.05 (elimination y)

x=1.75=1 [tex]\frac{3}{4}[/tex] So

y=5.25-X=3.5 = 3 [tex]\frac{1}{2}[/tex]

So,it needs 1 [tex]\frac{3}{4}[/tex] gallons of 40% gloss and 3 [tex]\frac{1}{2}[/tex] glass gallons of 25% gloss.

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To mix paint that is 40% gloss with paint that is 25% gloss to make 5.25 gallons of paint that is 30% gloss, the paint mixer should mix 1.75 gallons of paint that is 40% gloss with 3.5 gallons of paint that is 25% gloss.

Let x be the number of gallons of paint that is 40% gloss and y be the number of gallons of paint that is 25% gloss. To mix paint that is 40% gloss with paint that is 25% gloss to make 5.25 gallons of paint that is 30% gloss, we can set up the following system of equations:

0.40x + 0.25y = 0.30 × 5.25

x + y = 5.25

To solve this system of equations, we can first multiply the second equation by 0.4 to eliminate the x term, and then we can subtract the first equation from the resulting equation to solve for y:

0.4x + 0.25y = 0.3×5.25

0.4x + 0.4y = 0.4×5.25

0.15y = 0.1×5.25 = 0.525

y = 0.525/ 0.15

y = 3.5

Then we can substitute this value of y back into one of the original equations to solve for x:

x = 5.25 - y

x = 5.25 - 3.5

x = 1.75

Therefore, the paint mixer should mix 1.75 gallons of paint that is 40% gloss with 3.5 gallons of paint that is 25% gloss to make 5.25 gallons of paint that is 30% gloss.

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Answer:

the answer is an increase by 28% sorry if i am incorrect

Answer:

The dependent variable is n (outs). The number of outs depends on the number of innings.

All the pairs that are like terms are given as follows:

1.) -4n and 18n

2.) 15ab and 2ab

5.) 14h and -3h

Like terms are terms that share these two features:

If two terms are like terms, then they can be either added or subtracted.

The like terms for this problem are given as follows:

1.) -4n and 18n -> algebraic variable of n, exponent of 1.

2.) 15ab and 2ab -> algebraic variable of ab, exponent of 1.

5.) 14h and -3h -> algebraic variable of h, exponent of 1.

For example, the pair in item 3 is of terms that are not like terms, as they have different algebraic variables, f and 1.

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