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3 years ago

660 ft/min= ______ft/s

1 answer:

5 0

Given the fact that your initial value is conducted by a calculation using min, it would only seem logical that the new value would be smaller as a min is a longer period of time than a second. So all you do is divide the 660 by the number of seconds in a min which gets you to 11 fts^-1 or 11 ft/s

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Seth can build a doghouse in 6 hours. Violet can build a doghouse in 5 hours. How long will it take to build the dog house if th

Sliva [168]

Answer:

It will take a total of 2.73 hours if they worked together

Step-by-step explanation:

Here, we are seeking to calculate the joint rate.

Let the amount of work to be done is say x

Seth’s rate will be x/6 , while violet’s rate will be x/5

Their joint rate will be ;

x/6 + x/5 = 11x/30

The time it will take them to build the house together will be equal to the amount of work divided by the joint rate.

That will be x divided by 11x/30

= x * 30/11x

= 30/11 hours which is Approximately 2.73 hours

4 0

4 years ago

A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $20/ft and on the other three s

makvit [3.9K]

Answer:

The dimensions of the garden that minimize the cost is 9.018 feet(length) and 13.528 feet(width)

Step-by-step explanation:

Let the length of garden be x

Let the breadth of garden be y

Area of Rectangular garden = $Length \times Breadth = xy$

We are given that the area of the garden is 122 square feet

So, $xy=122$ ---A

A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $20/ft

So, cost of brick along length x = 20 x

On the other three sides by a metal fence costing $10/ft.

So, Other three side s = x+2y

So, cost of brick along the other three sides= 10(x+2y)

So, Total cost = 20x+10(x+2y)=20x+10x+20y=30x+20y

Total cost = 30x+20y

Substitute the value of y from A

Total cost = $30x+20(\frac{122}{x})$

Total cost = $\frac{2440}{x}+30x$

Now take the derivative to minimize the cost

$f(x)=\frac{2440}{x}+30x$

$f'(x)=-\frac{2440}{x^2}+30$

Equate it equal to 0

$0=-\frac{2440}{x^2}+30$

$\frac{2440}{x^2}=30$

$\sqrt{\frac{2440}{30}}=x$

$9.018 =x$

Now check whether it is minimum or not

take second derivative

$f'(x)=-\frac{2440}{x^2}+30$

$f''(x)=-(-2)\frac{2440}{x^3}$

Substitute the value of x

$f''(x)=-(-2)\frac{2440}{(9.018)^3}$

$f''(x)=6.6540$

Since it is positive ,So the x is minimum

Now find y

Substitute the value of x in A

$(9.018)y=122$

$y=\frac{122}{9.018}$

$y=13.528$

Hence the dimensions of the garden that minimize the cost is 9.018 feet(length) and 13.528 feet(width)

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3 years ago

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B3%5D%7B60%7D%20%7D%7B%5Csqrt%5B3%5D%7B36%7D%20%7D" id="TexFormula1" title=

Margarita [4]

∛60
--------
∛36

=
∛5
------
∛3

=∛45
-----------
3

= 1.185

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3 years ago

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Help me out tysm!! <3 marking brainliest for the person who answers all correctly.

kykrilka [37]

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3 years ago

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What comes next in this pattern? 7/2, 6/3, 5/4, ... 4/9 4/7 4/5

VARVARA [1.3K]

Answer:4/3

4/3

Step-by-step explanation:

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2 years ago