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Anna [14]
3 years ago
11

The perimeter of a rectangular book is given as 16.84 cm. Find the length of the rectangular book (in decimals) whose width is 1

8/7 cm. Estimate to the nearest tenths place.
4.8 cm
5.2 cm
5.8 cm
6.2 cm
Mathematics
1 answer:
Damm [24]3 years ago
3 0

Answer:

5.8 is answer i hope i helped u

Step-by-step explanation:

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The correct answer is D
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A box is contructed out of two different types of metal. the metal for the top and bottom, which are both square, costs $3 per s
zysi [14]

Let x ft be the length of the base square and y ft be the height of the box.

The volume of the box is

V=x\cdot x\cdot y\ ft^3.

Since the box has a volume of 15 cubic feet, then

x^2y=15,\\ \\y=\dfrac{15}{x^2}.

You need to construct two squares from the metal that cost $3 per square foot.

The area of each square is x^2\ ft^2 and the total cost for these two squares is 2\cdot x^2\cdot 3=6x^2.

The area of each side face is x\cdot y=x\cdot \dfrac{15}{x^2}=\dfrac{15}{x}. Then the total cost for sides is 4\cdot \dfrac{15}{x}\cdot 10=\dfrac{600}{x}.

Let S(x) be the function that represents total cost of the box, then

S(x)=6x^2+\dfrac{600}{x}.

Find the derivative:

S'(x)=12x-\dfrac{600}{x^2}.

When S'(x)=0, then 12x-\dfrac{600}{x^2}=0,\\ \\12x^3=600,\\ \\x^3=50,\\ \\x=\sqrt[3]{50}\ ft.

The dimensions of the box are:

length and width - \sqrt[3]{50}\ ft

height - \dfrac{15}{\sqrt[3]{2500}}\ ft.

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3 years ago
Find the distance between the points (-5,1) and (-2,-5)
Delvig [45]

Answer:

d= 3√5

Step-by-step explanation:

8 0
3 years ago
Pls help :D 35 points!
sweet-ann [11.9K]
1,190 for x and 8 for y
7 0
3 years ago
Read 2 more answers
What is the height of the beach sign?
bagirrra123 [75]
To find the height of this umbrella you need to use the tangent function.

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x =  \frac{8}{tan 45}
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The height of the umbrella is 8.

Hope this helps :)
5 0
4 years ago
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