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2 years ago

6

a restaursnt has rectangular tables that can seat 8 people each when there are more than 8 people in a group the tables are move

d together. what is the greatest number of people who can sit at 3 tables lined up in a row?

1 answer:

Stolb23 [73]2 years ago

5 0

24 people can sit at three tables lined in a row

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Quadrilateral ABCD?<br>

Mashutka [201]

The given quadrilateral is a kite.

Given: Point A (2, 4), B (-2, -5), C (7, -1) and D (7, 4)

Firstly, we find the distance between AD and DC

AD = $\sqrt{(7 - 2)^{2} + (4 - 4)^{2} }$

⇒ AD = $\sqrt{5^{2} }$

⇒ AD = 5

DC = $\sqrt{(7 - 7)^{2} + (4 - (-1))^{2} }$

⇒ DC = $\sqrt{5^{2} }$

⇒ DC = 5

Hence, AD = DC = 5

Now, find the distance between AB and BC

AB = $\sqrt{(-2 - 2)^{2} + (-5 - 4)^{2} }$

⇒ AB = $\sqrt{(-4)^{2} + (-9)^{2} }$

⇒ AB = $\sqrt{16 + 81}$

⇒ AB = $\sqrt{97}$

BC = $\sqrt{(7 - (-2))^{2} + (-1 - (-5))^{2} }$

⇒ BC = $\sqrt{9^{2} + 4^{2} }$

⇒ BC = $\sqrt{81 + 16}$

⇒ BC = $\sqrt{97}$

Hence, AB = BC = √97

In the given quadrilateral, the two pair is of equal length and these sides are adjacent to each other.

Hence, it follows the property of kite.

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10 months ago

If the given values in a right triangle are cos A =

Vlad1618 [11]

See the picture attached to better understand the problem

we know that
in the right triangle ABC
cos A=AC/AB
cos A=1/3
so
1/3=AC/AB----->AB=3*AC-----> square----> AB²=9*AC²----> equation 1

applying the Pythagoras Theorem
BC²+AC²=AB²-----> 2²+AC²=AB²---> 4+AC²=AB²----> equation 2

substitute equation 1 in equation 2
4+AC²=9*AC²----> 8*AC²=4----> AC²=1/2----> AC=√2/2
so
AB²=9*AC²----> AB²=9*(√2/2)²----> AB=(3√2)/2

the answer is
the hypotenuse is (3√2)/2

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3 years ago

marnie walsh purchased a delux dictionary for 38.75 and a full color atlas for 41.10. the state sales tax is 6%, tge city tax is

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The total price before tax is $(38.75 +41.10) =79.85 and after tax the purchase price is 79.85 x 9.5% = $7.59 + $79.85= $87.44

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3 years ago

Divide 3÷48.33 and 2÷8.8

Zigmanuir [339]

First is 0.06 and second 0.2

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3 years ago

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The yield of strawberry plants depends on the amount of fertilizer fed to the plants. Agricultural research shows that an acre o

andre [41]

Answer:

657 pounds

Step-by-step explanation:

Given

Represent the amount of fertilizer with x and the yield with y.

So, we have:

$(x_1,y_1) = (70,630)$

$(x_2,y_2) = (100,900)$

Required:

Determine the yield (y) when fertilizer (x) is 73ft^3

Using linear interpolation, we have:

$y = y_1 + (x - x_1)\frac{(y_2 - y_1)}{(x_2 - x_1)}$

Substitute the x and y values using

$(x_1,y_1) = (70,630)$ and $(x_2,y_2) = (100,900)$ ;

We have:

$y = y_1 + (x - x_1)\frac{(y_2 - y_1)}{(x_2 - x_1)}$

$y = 630 + (x - 70)\frac{(900 - 630)}{(100 - 70)}$

$y = 630 + (x - 70)\frac{270}{30}$

$y = 630 + (x - 70)*9$

Open bracket

$y = 630 + 9x - 630$

$y = 9x - 630+630$

$y = 9x$

To solve for y when x = 73.

We simply substitute 73 for x

$y = 9x$

$y = 9 * 73$

$y = 657$

<em>Hence, the yield for 73 cubic feet is 657 pounds</em>

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2 years ago