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Soloha48 [4]
2 years ago
11

An office building has the same number and size of offices on each floor. If there are 21 offices on the first 3 floors, then wh

at is the total number of offices in the 10 story building?
Mathematics
1 answer:
zhenek [66]2 years ago
6 0

Answer:

70 offices

Step-by-step explanation:

21 ÷ 3 to get amount per floor, 7 per floor, 7 × 10 = 70, 70 offices

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3 years ago
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What is the equation of a parabola with (−2, 4) as its focus and y = 6 as its directrix? Enter the equation in the box.
antiseptic1488 [7]

Check the picture below.  So the parabola looks more or less like so.

let's recall that the vertex is half-way between the focus point and the directrix, at "p" units away from both.

Let's notice that the focus point is below the directrix, that means the parabola is vertical, namely the squared variable is the "x", and it also means that it's opening downwards as  you see in the picture, namely that "p" is negative, in this case "p" is 1 unit, and thus is -1.

\bf \textit{parabola vertex form with focus point distance} \\\\ \begin{array}{llll} 4p(x- h)=(y- k)^2 \\\\ \stackrel{\textit{we'll use this one}}{4p(y- k)=(x- h)^2} \end{array} \qquad \begin{array}{llll} vertex\ ( h, k)\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix} \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=-2\\ k=5\\ p=-1 \end{cases}\implies 4(-1)(y-5)=[x-(-2)]^2\implies -4(y-5)=(x+2)^2 \\\\\\ y-5=-\cfrac{1}{4}(x+2)^2\implies y=-\cfrac{1}{4}(x+2)^2+5

6 0
3 years ago
If a =7 , find the area of it . <br><br> Please give me the answer I have a exam at 12.00
Sindrei [870]

Answer:

60cm²

Step-by-step explanation:

Area of a rectangle = length x breath

Let,

length (L) = (a-1) cm

breadth (B) = (a+3) cm

Putting the value of a = 7;

we get,

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breadth= 7+3 = 10 cm

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3 0
3 years ago
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2/3 of 39<br><br> 3/4 of 24cm
wolverine [178]

Answer:

The answers would be

78/3

18

Step-by-step explanation:

To find them, simply treat the word "of" as if it means multiply.

2/3 * 39 = 78/3

3/4 * 24 = 18

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3 years ago
if a square has an area of 255 square yards and a perimeter of 60 yards what is the side length of the square
Marta_Voda [28]

Answer: 15, if area is supposed to be 225

Step-by-step explanation:

60 / 4 sides = 15

15*15= 225

8 0
3 years ago
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