An archway in front of a school is in the shape of a parabola. The top of the arch is the vertex (0,0). The school seal is at the focus, 2.5 feet below the vertex, and the arch is 18 feet wide at the ground

Answer:

Using Pyhagoras theoram,

(H)^2 = (B)^2 + (P)^2

B = 13 in

P = 5 in

[tex](h)^{2} = (13)^{2} + {(5)}^{2} \\ = > (h)^{2} = 169 + 25 \\ = > (h)^{2} = 194 \\ = > h = \sqrt{194} \\ = > h = 13.92[/tex]

Hence, the missing side is 13.92 inhes.

Answer:

13.93

Step-by-step explanation:

[tex]5^{2} + 13^{2} = c^{2}[/tex]

[tex]25 + 169 = 194 = c^{2}[/tex]

[tex]\sqrt{194} = c^{2}[/tex]

[tex]13.92838827718 = c[/tex]

then round up to 13.93

Answer:

f/373 = 294

Step-by-step explanation:

Answer:

width of given rectangle = 6 cm

length of given rectangle =  4 cm

Step-by-step explanation:

Let the breadth be x cm

given that

The length of a rectangle is eight centimeters less than twice its width

length of rectangle in terms of x =  2(breadth ) - 8 =  2x - 8

we know perimeter of rectangle is given = 2(l + b)

thus, perimeter of given rectangle is = 2 ( x +  2x - 8) = 6x - 16

also given perimeter of the rectangle is 20 centimeters

thus,

6x - 16 = 20

6x = 20 + 16 = 36

x = 36/6 = 6

Thus,

width of given rectangle = 6 cm

length of given rectangle = 2*6 - 8 = 4 cm

Answer:

Step-by-step explanation:

I am assuming you want an equation

y=mx + b

m is the slope, and b is the y intercept, so just fill in the info

y=-2x + 0

because it is just + 0, you can simply write:

y=-2x

Note: I'm not completely sure of what you're asking, but I hope this helps in some way, shape, or form!! If not, feel free to tell me what you need, and I will edit my response.

Answer:

S'(-3, 7)

Step-by-step explanation:

The coordinate of point S' will be (-5, 1).

A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection.

The rules for finding the reflection of a point in y-axis are:

(i) Change the sign of abscissa, i.e. x-coordinate.

(ii) Retain the ordinate i.e., y-coordinate.

Therefore, when a point is reflected in the y-axis, the sign of its abscissa changes.

According to the given question.

We have a triangle QRS.

The coordinates of points Q, R, and S are (4, 2), (5, 1) and (3, 7) respectively.

Since, the triangle QRS is reflected across the y-axis .

Therefore, the coordinate of S' is given by

The sign of abscissa or x-coordinate of (5, 1) changes so, 5 changes to -5.

And the ordinate i.e. 1 will remain same.

Therefore, the coordinate of point S' will be (-5, 1).

Find out more information about reflection here:

https://brainly.com/question/11453535

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Answer:

X=0

Step-by-step explanation:

X=0 because 4(x+3) 4×3 is already 24

Answer:

1- 50

2-49

3-22

Step-by-step explanation:

just add the sides that you have and then subtract the sum by 90 becasue theu are right triangles

Answer:

y+10

Step-by-step explanation:

Answer:

54 people were originally in the room.

Step-by-step explanation:

18=2/3 of the half not dancing

(18/2)(3)=27

27 is the 1/2 population or 27=1/2

(27/1)(2)=54

54 people were originally in the room.

Step-by-step explanation:

18=2/3 of the half not dancing

(18/2)(3)=27

27 is the 1/2 population or 27=1/2

(27/1)(2)=54

Answer:

C. 3

Step-by-step explanation:

Formula for slope is given as [tex] m = {y_2 - y_1}{x_2 - x_1} [/tex]

The coordinates of any two points can be used in this formula. Let's use, (1, 5) and (2, 8).

Let,

[tex] (1, 5) = (x_1, y_1) [/tex]

[tex] (2, 8) = (x_2, y_2) [/tex]

Plug the values into the formula:

[tex] m = {8 - 5}{2 - 1} [/tex]

[tex] m = {3}{1} [/tex]

[tex] m = 3 [/tex]

Answer:

256/39 or 6 22/39

Answer:

the answer is the last one. hope this helped.

Step-by-step explanation:

Answer:

odd

Step-by-step explanation:

Hey there!

In order for you to convert/ express a fraction as a decimal you SHOULD:

DIVIDE the numerator (the TOP number) from the denominator (the BOTTOM number)

Now that we have that guide/side note we can answer your question, shall we?

52/ 9 = 5.777778

If you’re rounding to your Answer, then it’ll be: 5.78

Overall answer is: 5.777778 ✅

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

the answer is 2. so it is 2

Step-by-step explanation:

2 ➕ 2 is 4

Answer:

Option D (6)

Step-by-step explanation:

6-4 is equal to 2

Answer:

-3.15

Step-by-step explanation:First you must line them up

    - 8 . 4 6

+     5 . 3 1

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

     Then you add

   - 8 . 4 6

+     5 . 3 1

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

     3 . 1  5

You get three becuase -8 + 5 is 3.

Hope this helps :)

Answer:

in 4 years

Step-by-step explanation:

because you should find the 20% of 150

150×20=3000

3000÷100= 30

so 20% of 150 is 30

then you keep adding 30 to the results till you reach 300

The equation is 150+30x=300 and it takes 3 years for the company to earn $300.

Given that, a small business begins with $150 and grows by 20% each year.

We need to find when will the company's income by $300.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Now, 20% of 150=30

Let x be the number of years.

So, f(x)=150+30x

⇒150+30x=300

⇒30x=150

⇒x=3

The equation is 150+30x=300 and it takes 3 years for the company to earn $300.

To learn more about the equations visit:

https://brainly.com/question/10413253.

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Answer:

2.30139104 US dollar

i think

Step-by-step explanation:

Answer:

23.55

Step-by-step explanation:

To calculate the area I did the following equation

area = 3.14 (r) (r)

area = 3.14 (3) (3)

area = 28.26

The area is 28.26 but the question is asking how much gravel would be needed to fill 5/6 of the area.

The equation for 5/6 out of 28.26 is

28.26 (5/6) = 23.55

So the final answer is (a.) 23.55 sq. ft.

Answer:

what are they equal to I can solve if that info is not given

Sam's depth is 25 feet as 14 + 9 = 25

Answer:

Its B

Step-by-step explanation:

Multiply x by 2 to get your answer

Answer:

B

Step-by-step explanation:

5t + 12 = 132

We know the price of parking and we know what they paid in total. There are 5 members with the unknown price.

Answer:

B

Step-by-step explanation:

You're trying to find how much a ticket, which is t. you need 5 tickets for the family, plus the twelve dollar fee which is there anyways for the car, and it add up to 132. subtract 12 from 132 and you get 120. 120 divided by 5 is 24. so 24 dollars for a ticket, but the equation you would need is 5t+12=132

Answer:

Key features of a linear function from a table are the ordered pairs which are points on a line.In the equation,the slope of the function which is the rate of change and the y-intercept value are indicated.

Step-by-step explanation:

Answer: 1. $1.80

2. $21.80

Step-by-step explanation:

You apply sales tax to 20 which is 9% or 0.09 so you p multiply 20 by 0.09 which is 1.8. That’s the tax then add that to 20 and get 21.80

Mark the brainliest it would be aprreciated

 [tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]

______________________________

 [tex]\bold{Solution~Steps:}[/tex]

[tex]1.)~Combine~8s~and~-4s:[/tex]

[tex]2.)~Subtract~7s~from~both~sides:[/tex]

[tex]3.)~Subtract~15~from~both~sides:[/tex]

[tex]4.)~Divide~both~sides~by~-3:[/tex]

______________________________

 [tex]\bold{Answer:}[/tex]

______________________________

 [tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~~~-TotallyNotTrillex}[/tex]

Answer:

2b+2x-35

Step-by-step explanation:

let me know if wrong

Answer:

Step-by-step explanation:

If we take the number as 7 so 3 times 7 is

3 x 7 = 21

Subtracted by 6 = 21 - 6= 15

So the number is 7

Answer:

7

Step-by-step explanation

Add the subtracted value to the other given value

15+6=21

Since we know it is 3 times the number, divide by 3 to get the number

21/3=7

Check:

21=3x7

21=21

Answer:

where is the diagram

Step-by-step explanation: