capital building is 287 feet. the height of a model building is 2.87. what is the scale if the model

Answer:

work

Step-by-step explanation:

Answer:

The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4.

Step-by-step explanation:

We know that partitioning a directed line segment into a ratio of 1:3 means that we are dividing the given line segment into two parts whose first part is 1 times the of some quantity while the another part is 3 times of the same quantity. So basically we are comparing part to part in by ratio. And total number of parts in the whole will be just sum of both so we get 1+3=4

Hence choice (3) is correct answer.

"The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4."

Final answer:

Partitioning a directed line segment into a ratio of 1:3 is not the same as finding the length of the directed line segment. The ratio compares parts within the whole, while finding the length involves measuring the entire segment. To find the length of each part in a 1:3 ratio, divide the length of the segment by 4.

Explanation:

Partitioning a directed line segment into a ratio of 1:3 is not the same as finding the length of the directed line segment because the ratio given is part to whole, while finding the length involves determining the actual measurement of the segment. The ratio 1:3 compares the parts within the whole, while finding the length of the segment involves measuring the entire length.

When the ratio is given as 1:3, it means that the segment is divided into 4 equal parts (1 part + 3 parts). The length of the entire segment is the sum of these 4 parts. To find the length of each part, you can divide the length of the segment by 4.

For example, if the length of the segment is 8 units, each part will have a length of 8/4 = 2 units.

Answer:

Zeros of the given function are x=5 and x=-1.

Step-by-step explanation:

f(x)=x^2-4x-5

f(x)=x^2+1x-5x-5

f(x)=x(x+1)-5(x+1)

f(x)=(x-5)(x+1)

To find zeros, we need to set f(x)=0

0=(x-5)(x+1)

0=(x-5) or 0=(x+1)

0=x-5 or 0=x+1

5=x or -1=x

Hence zeros of the given function are x=5 and x=-1.

We can plug some random numbers like x=0,1,2,... into given function to find few points then graph those points and join them by a curved line.

That will give the final graph as attached below:

for x=0,

f(x)=x^2-4x-5

f(0)=0^2-4(0)-5

f(0)=0-0-5

f(0)=-5

Hence first point is (0,-5)

Similarly we can find more points.

Answer:

distributive property

Step-by-step explanation:

each term in the parenthesis is multiplied by the 12 outside

12(x + 4) = 12x + 48 ← using the distributive property

Answer:

108° and 72°

Step-by-step explanation:

let one angle be x then the other angle is [tex]\frac{2}{3}[/tex] x

the sum of the 2 angles = 180°, hence

x + [tex]\frac{2}{3}[/tex] x = 180 ( combining the left side )

[tex]\frac{5}{3}[/tex] x = 180

multiply both sides by 3 then divide both sides by 5

5x = 540 ⇒ x = 108

the 2 angles are x = 108° and [tex]\frac{2}{3}[/tex] x = 72°

Answer:

sorry i cant add a comment but which is the smallest angle

Step-by-step explanation:

Answer:

the correct option is D: 1.33 just finished test need any other answers feel free to message me :)

Answer:

Step-by-step explanation:

The line is going from point (0;0) to point (12;16), the proportional relationship between these points refer to the slope of the line, which can be found with this expression:

[tex]m=\frac{\Delta y}{\Delta x}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Replacing all values we have:

[tex]m=\frac{16-0}{12-0}=\frac{16}{12}=1.33[/tex]

Therefore the relation shown in the graph is represented by 1.33 cm/s, which refers to the constant speed developed by the object.

Answer:

The slope is ( 10 - 70 ) / ( 5 + 15 ) = ( - 60 ) / 20 = - 3;

Step-by-step explanation:

Answer:

Step-by-step explanation:

You have to use this formula: Y2 - Y1

                                                 X2 - X1

(-15,70) ]& (5,10):

Y2 - Y1

X2 - X1

10 - 70

5 - - 15

-60

20

Simplified because both -60 & 20 can be divided by 10: -6

                                                                                              2

Simplified again because -6 & 2 can be divided by 2: -3

                                                                                          1

IF the 1 is NOT needed, then it's just -3!!! :)

Really really sorry if I'm incorrect!!!

Answer:

c= 5

Step-by-step explanation:

right on edg 2020

Answer:

i think the answer is 99 im not completely sure though

but i hope this helps

Answer:

83

Step-by-step explanation:

Theorem:

The measure of any exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.

The angle measuring x is an exterior angle.

The angles measuring x - 39 and x - 44 are the remote interior angles to the exterior angle.

According to the theorem:

x - 39 + x - 44 = x

2x - 83 = x

x - 83 = 0

x = 83

Haruka hiked 8 kilometers in the morning. This is calculated by recognizing that the 6 kilometers she hiked in the afternoon was 25% less than her morning hike, making it 75% of her morning hike.

Haruka hiked several kilometers in the morning. She hiked only 6 kilometers in the afternoon, which was 25% less than she had hiked in the morning. To solve this problem, let's represent the number of kilometers Haruka hiked in the morning as x.

Since the afternoon hike was 25% less than the morning hike, this means she hiked 75% of the distance she did in the morning in the afternoon. The 6 kilometers she hiked in the afternoon then represent this 75% of the morning hike.

We can set up the equation as follows: 0.75x = 6. To find x, we divide both sides of the equation by 0.75. So, x = 6 / 0.75 which simplifies to x = 8.

Therefore, Haruka hiked 8 kilometers in the morning.

Answer: 4

The given line has a slope of -1/4 as this is the number in front of the x. The general equation y = mx+b has m as the slope. So m = -1/4 is given

Flip the sign to get -1/4 turn into +1/4 or just 1/4

Then flip the fraction (aka reciprocal) to go from 1/4 to 4/1 and that simplifies to 4.

Multiplying the original slope (-1/4) and the perpendicular slope (4) will result in -1.

Answer:

Elga is 25 and Alvin is 10

Step-by-step explanation:

25 - 10 is 15

25 + 10 = 35

Answer:

25  

Step-by-step explanation:

Let  A = Alvin's age

and E = Elga's age

We have two conditions:

(1)            A = E – 15

(2)    A + E = 35     Substitute (1) into (2)

E – 15 + E = 35     Combine like terms

   2E – 15 = 35     Add 15 to each side

          2E = 50      Divide each side by 2

            E = 25

[tex]6.75+\frac{3}{8}x=13\frac{1}{4}\\\\ 6\frac{3}{4}+\frac{3}{8}x=13\frac{1}{4}\\\\ \frac{3}{8}x=13\frac{1}{4}-6\frac{3}{4}\\\\ \frac{3}{8}x=12\frac{5}{4}-6\frac{3}{4}\\\\ \frac{3}{8}x=6\frac{2}{4}\\\\x=\frac{13}{2}\cdot\frac{8}{3}\\\\x=\frac{52}{3}\\\\ x=17\frac{1}{3}[/tex]

Answer:

its B 0o0

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

and also this thing is 3 years old

i feel old -'-

[tex]\bf (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-4})~\hspace{10em} slope = m\implies -3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-4)=-3[x-(-1)]\implies y+4=-3(x+1)[/tex]

The equation in point-slope form of the line that passes through the point (-1,-4) and has a slope of -3 is y=-3x-7

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

We are given the slope of the line of -3 and a point (-1,-4)  that it passes through.

We will use the Point-Slope Formula:

Plug in the values and solve:

y-(-4)=-3(x-(-1)

y+4=-3(x+1)

y+4=-3x-3

y=-3x-3-4

y=-3x-7

Hence, the equation in point-slope form of the line that passes through the point (-1,-4) and has a slope of -3 is y=-3x-7

Learn more about slope here:

https://brainly.com/question/2503591

#SPJ2

Answer:

That would be 60, and there isn't a remainder.

Step-by-step explanation:

480÷8

Since there are 6 8's in 48, it would be that but you would add a zero, since it is four hundred. Hope this helps!

Answer: 60

Step-by-step explanation:

Set up the long division.

2 Calculate 48 ÷ 8, which is 6.

3 There is no remainder. We are done. Add ending zeroes to the final answer.

Answer:

the answer is n=>8

Step-by-step explanation:

Answer: 7

Step-by-step explanation:

Step 1: Since it is asking how much each hat costed. We would divide.

             42$ divide 6 = 7$ per hat

Answer: [tex]y-6=5(x-2)[/tex]

Step-by-step explanation:

1. You have that the point slope formula is:

[tex]y-y_1=m(x-x_1)[/tex]

Where [tex]m[/tex] is the slope and [tex](x_1,y_1)[/tex] the given point.

2. You know the point (2,6) and the slope 5, which are given in the problem, therefore you only need to substitute values, as you can see below:

[tex]m=5\\x_1=6\\y_1=2\\y-y_1=m(x-x_1)\\y-6=5(x-2)[/tex]

3. Therefore, the answer is [tex]y-6=5(x-2)[/tex]

Answer:

The answer is y-6=5[x-2]

Step-by-step explanation:

I just finished the test and got 100%

Answer:

-8m^2 -2m +17

Step-by-step explanation:

(-6m^2 - 7m + 8) - (2m^2 - 5m - 9)

Distribute the minus sign

(-6m^2 - 7m + 8) - 2m^2 + 5m + 9

I like to line them up vertically

-6m^2 - 7m + 8

- 2m^2 + 5m + 9

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

-8m^2 -2m +17

[tex](-6m^2-7m+8)-(2m^2-5m-9)\\\\=-6m^2-7m+8-2m^2-(-5m)-(-9)\\\\=-6m^2-7m+8-2m^2+5m+9\qquad\text{combine like terms}\\\\=(-6m^2-2m^2)+(-7m+5m)+(8+9)\\\\=\boxed{-8m^2-2m+17}[/tex]

Answer:

k(- 7) = - 89

Step-by-step explanation:

to evaluate k(- 7) substitute n = - 7 into k(n)

k(- 7) = (10 × - 7 ) - 19  = - 70 - 19 = - 89

Answer:

k(- 7) = - 89

Step-by-step explanation:

N= -7 so K(n)= K(- 7)

to evaluate k(- 7)

k(- 7) = (10 × - 7 ) - 19  = - 70 - 19 = - 89

Answer:

The correct options should be B and C.

Step-by-step explanation:

Quadratic equation is an equation in which the highest degree of the variable is 2. No fractional power of variable is acceptable in the equation. So, the power of variable can be 0, 1, and 2 only.

The given equations are,

[tex]y=-x^2+5\sqrt{x}-16\\y=2x^2-12x+9\\x=2y^2-9y+4\\5x-3y=-6[/tex]

From the above equations, equation 1, 2, and 3 has degree 2. But in equation 1, the power of variable x is 0.5 which is a fraction.

So, equation 2 and 3 only are the quadratic equations.

Therefore, the correct options should be B and C.

For more details, refer the link:

https://brainly.com/question/24817658?referrer=searchResults

Hello there! Your answer is B.

A rational number is just a number that can be expressed as a fraction.

Let's start by simplifying each number:

A. [tex]-\sqrt{16}[/tex] = -4 or -4/1

B. [tex]\sqrt{0.4}[/tex] = 0.63245553203...

C. [tex]\sqrt{4}[/tex] = 2 or 2/1

D.  [tex]\sqrt{16}[/tex] = 4 or 4/1

Out of the options given, all of them can be simplified into a fraction, except for the second one, so that means that the second one is our irrational number.  

Step-by-step explanation:

First, you divide the money by how many notebooks/folders you can get.

Folders: $2.50 / 10 = $0.25

Notebook: $7.00 / 4 = $1.75

Now, you just multiply the notebooks and folders.

6 folders x $0.25 = $1.50

5 notebooks x $1.75 = $8.75

$1.50 + $8.75 = $10.25

Answer: $10.25

To calculate the cost for 5 notebooks and 6 folders with given sale prices, first find the unit price of each item, then multiply by the desired quantity and add the totals to get the final cost, which is $10.25.

The cost for 4 notebooks is $7.00, which means one notebook costs $1.75 (since $7.00 divided by 4 equals $1.75). To find the cost of 5 notebooks, we multiply 5 by $1.75 to get $8.75.

The cost for 10 folders is $2.50, which means one folder costs $0.25 (since $2.50 divided by 10 equals $0.25).

To find the cost of 6 folders, we multiply 6 by $0.25 to get $1.50.

Finally, we add these two amounts together to find the total cost: $8.75 (for notebooks) + $1.50 (for folders) equals $10.25, which is the total amount Rico will spend.

Answer:

2Y is the  number of scarfs of length half metre that can be made from Y metres of cloth.

Step-by-step explanation:

To find the number of scarfs of length half metre that can be made from Y metre of cloth.

As per the given condition:

we have:

[tex]\text{Length of 1 scarf} = \frac{1}{2} m[/tex]

then;

Number of scarfs that can be made from Y metre of cloth = [tex]\frac{Y}{\frac{1}{2} } = Y \times 2 = 2Y[/tex]

Therefore, number of scarfs of length half metre that can be made from Y metres of cloth is, 2Y

Answer:

Y = -2, 2, 6, 10     PLEASE GIVE BRAINLIEST

Step-by-step explanation:

X = 0             X = 1             X = 2               X = 3

4(0) - 2         4(1) - 2           4(2) - 2             4(3) - 2

Y = - 2           y = 2              Y = 6               Y = 10

Answer:

30a+b

Step-by-step explanation: