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3 years ago

19. Given that the lines are parallel, what angle is congruent to angle 6?

Mathematics

1 answer:

nikklg [1K]3 years ago

6 0

It is C bc it is on the opposite side and on the outside

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A rectangular bin with an open top and volume of 38.72 cubic feet is to be built. The length of its base must be twice the width

KengaRu [80]

Answer:

Width=2.2 FT

Length=4.4 FT

Heigh= 4 FT

Step-by-step explanation:

5 0

3 years ago

Help with this I don't know how to solve please please please!!

likoan [24]

Answer:

212.5

Step-by-step explanation:

Here's a theorem about triangle areas.

If two similar triangles have sides in the ratio x:y,

then their areas are in the ratio x2:y2

The triangles have sides in the ratio:

LP/LN = 10/25

The two triangles have areas in the ratio 100:625 (4/25)

For every 4 in the small triangle, there are 25 in the larger triangle.

34/4 = 8.5

25 times 8.5 =212.5

6 0

3 years ago

A rectangular storage container with an open top is to have a volume of 24 cubic meters. The length of its base is twice the wid

Mariana [72]

Answer:

419.25

Step-by-step explanation:

The calculation of the cost of materials for the cheapest such container is shown below:-

We assume

Width = x

Length = 2x

Height = h

where, length = $2 \times width$

Base area = lb

= $2x^2$

Side area = 2lh + 2bh

= 2(2x)h + 2(x)h

= 4xh + 2xh

Volume = 24 which is lbh = 24

$h = \frac{24}{2x^2} \\\\ h = \frac{12}{x^2}$

Now, cost is

$= 13(2x^2) + 9(4xh + 2xh)\\\\ = 13(2x^2) + 9(4x + 2x)\times \frac{12}{x^2} \\\\ = 26x^2 + \frac{648}{x}$

now we have to minimize C(x)

So, we need to compute the C'(x)

$= 52x - \frac{648}{x^2}$

C"(x) $= 52x - \frac{1,296}{x^3}$

now for the critical points, we will solve the equation C'(x) = 0

$= 52x - \frac{648}{x^2} = 0\\\\ x = \frac{648}{52}^{\frac{1}{3}}$

$C" = ((\frac{648}{52} ^{\frac{1}{3} } = 52 + \frac{1296}{(\frac{648}{52})^\frac{1}{3} )^3}\\\\ = 52 + \frac{1296}{\frac{648}{52} } >0$

So, x is a point of minima that is

= $(\frac{648}{52} )^\frac{1}{3}$

Now, Base material cost is

$= 13(2x^2)\\\\ = 26(\frac{648}{52} )^\frac{2}{3}$

= 139.75

Side material cost is

$= \frac{648}{x} \\\\ = \frac{648}{(\frac{648}{52})^\frac{1}{3} }$

= 279.50

and finally

Total cost is

= 139.75 + 279.50

= 419.25

4 0

3 years ago

Please help with this, I'm stuck.

photoshop1234 [79]

Answer:

18/5 = 3.6 (note that 3/2 = 1.5 )

the actual division is 3.387

Step-by-step explanation:

5 0

2 years ago

What is the mass of 8.65x 10^23 molecules of N2Cl4?

ArbitrLikvidat [17]

Answer:

8.6E23

Step-by-step explanation:

8 0

3 years ago