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2 years ago

9

I need help on this ASAP!!

1 answer:

Solnce55 [7]2 years ago

5 0

Answer:

A

Step-by-step explanation:

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An arched drainage culvert can be modelled by the function:

Zanzabum

Substitute 136.5 for y.

$136.5=\frac{x(191-x)}{60}$

$8190=x(191-x)$

$8190=191x-x^{2}$

$x^{2} -191x+8190=0$

Compare this equation with $ax^{2} +bx+c=0$

a = 1, b = - 191, c = 8190

$x=\frac{-b+\sqrt{b^{2}-4ac } }{2}$ or

$x=\frac{-b-\sqrt{b^{2}-4ac } }{2}$

$x=\frac{191+\sqrt{191^{2}-4(1)(8190) } }{2}$ or

$x=\frac{191-\sqrt{191^{2}-4(1)(8190) } }{2}$

$x=\frac{191+\sqrt{36481-32760 } }{2}$ or

$x=\frac{191-\sqrt{36481-32760 } }{2}$

$x=\frac{191+\sqrt{3721 } }{2}$ or

$x=\frac{191-\sqrt{3721 } }{2}$

$x=\frac{191+61}{2}$ or

$x=\frac{191-61}{2}$

$x=\frac{252}{2}$ or

$x=\frac{130}{2}$

x = 126 or x = 65

Hence, the points on the curve are (65, 136.5) and (126, 136.5).

The width of the air space is the distance between these points.

Width = $\sqrt{(x_{2}- x_{1})^{2} +( y_{2}- y_{1}) ^{2}$

= $\sqrt{(126- 65)^{2} +(136.5-136.5) ^{2}$

= 126 - 65

= 61

Hence, width of the air space is 61m.

5 0

2 years ago

A car has four wheels. How many wheels are there for twelve cars?

Kryger [21]

Answer:

4x12=48

Step-by-step explanation:

1 car=4 wheels

12cars= 48 wheels

5 0

2 years ago

Can someone help me solve this question? Step by step please

Nina [5.8K]

So what we do is we first get the x on the right side: 7x-x = 6x.

Now we get the 5 to the left side: 71-5= 66.

Now our equation is 66=6x.
We divide 66 by 6 which makes x=11

8 0

2 years ago

In a class of 60 students, 20 can speak English, 35 can speak French, 20 can't speak neither English, nor French. What number of

Snezhnost [94]

Answer:

24

Step-by-step explanation:

253727737273762663552636626636277463726373782883847772

5 0

1 year ago

Two identical regular hexagons are joined together as shown in a diagram.

Gelneren [198K]

Answer:

$x=120^o$

Step-by-step explanation:

step 1

Find the measure of the interior angle in a regular hexagon

we know that

The formula to calculate the measure of the interior angle in a regular polygon is equal to

$\frac{(n-2)180^o}{n}$

where

n is the number of sides of polygon

In this problem

n=6

so

$\frac{(6-2)180^o}{6}=120^o$

step 2

Find the measure of angle x

we know that

$x+120^o+120^o=360^o$ ----> by complete circle

solve for x

$x=360^o-240^o=120^o$

7 0

3 years ago