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2 years ago

Need help asap please!!!!!!

Mathematics

2 answers:

Shalnov [3]2 years ago

7 0

Answer:

a. 200°

Step-by-step explanation:

$a = 360 \degree - 160 \degree \\ a = 200 \degree$

slavikrds [6]2 years ago

3 0

Answer:

A. 200

Step-by-step explanation:

Since an arc degree is the same to the corresponding angle degree, we need to find the missing angle degree:

360 - 160 = 200°

Since our angle is 200°, our arc degree is also 200°

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After six weeks the tomato plant that was given extra food and water was 26 cm tall . The tomato plant that was not given any ex

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2 years ago

Help me please please please

Archy [21]

Answer:

24 $in^{3}$

Step-by-step explanation:

volume formula= l x w x h

Box A:

4 x 3 x 4 = 48

Box B: 48/2 = 24

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2 years ago

Vasko was renting a high performance bicycle for his Olympic training. Bicycle A is $25 per month and requires a down payment of

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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

2 years ago