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Scrat [10]
3 years ago
14

there are 12 tables and four boots in the family restaurant. each table seats 4 people. if the restaurant can seat up to 72 peop

le. What is the capacity of each boot?
Mathematics
1 answer:
horsena [70]3 years ago
3 0
The capacity of each booth is 6 people
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The line l is a tangent to the circle x^2+y^2=26 at the point A
vazorg [7]

Answer:

  65 square units

Step-by-step explanation:

Assuming point O refers to the origin, the segment OA has slope ...

  m = Δy/Δx = 5/1 = 5

Then the slope of the perpendicular line AP will be the negative reciprocal of this, -1/5.

The x-intercept of the line through (1, 5) with slope -1/5 can be found by setting y=0 in the point-slope equation for that line:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  0 -5 = (-1/5)(x -1)

  25 = x -1 . . . . . . . multiply by -5

  x = 26 . . . . . . . add 1

This means ΔOAP has a base length (OP) of 26 units and an altitude of 5 units. Its area is given by the formula ...

  A = 1/2bh

  A = 1/2(26)(5) = 65 . . . . square units

Triangle OAP has an area of 65 square units.

6 0
3 years ago
Sarah has three skirts black white and blue and three blouses red green and yellow how many different outfits can she make if ea
zimovet [89]
Well if you think about it its 9 because

3 Skirts
3 Blouse

multiply it to get you answer and 




3x3=9

8 0
3 years ago
Which does the flow chart represent
dimulka [17.4K]

Answer:

Step-by-step explanation:

i do not know

4 0
3 years ago
Write an equation for a parabola that has a vertex (1, 2) and passes through the point (3, -6).
Alex

Answer:

y= -2x²+4x.

Step-by-step explanation:

the common equation of the parabola is y=ax²+bx+c, where a, b, c - numbers.

1) the coordinates of the vertex are:

x_0=-\frac{b}{2a} \ and \ y_0=\frac{4ac-b^2}{4a}.

2) if according to the condition x₀=1, then b= -2a.

If according to the condition y₀=2, then   2=\frac{4ac-b^2}{4a}=\frac{4ac-4a^2}{4a}=c-a;

it means that c=a+2.

3) if b= -2a; c=a+2 and the point (3;-6) belongs to the given parabola, then it is possible to substitute them into the common equation of the parabola:

-6=3²*a-6a+a+2; ⇔ a= -2.

4) if a= -2, then b=-2a=4, and c=a+2=0.

5) if a=-2, b=4 and c=0, then the required equation of the parabola is:

y= -2x²+4x.

6 0
3 years ago
4g+3=2(2g+3) plzzz help
ohaa [14]
4g + 3 = 4g + 6
3 = 6

Since we know three equals six is not correct, there is no answer/result for this entire expression.


5 0
3 years ago
Read 2 more answers
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