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2 years ago

In the figure below, I = 10 cm, w = 4 cm, and h = 3 cm. What is the length of r?

Mathematics

1 answer:

Brut [27]2 years ago

4 0

Answer:

I think it would be 11.2

Step-by-step explanation:

because if I is 10 and it only goes across to the other side then it would only be 11.2

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one pump can empty the pool in 5 days, whereas a second pump can empty the pool in 7 days. how long it will take the two pumps,

PtichkaEL [24]

4 days jfjdhsbsiegebehehebeihrhe

7 0

2 years ago

65.877 rounded to the nearest 10th

Kitty [74]

The answer is 65.9 because the place right after the decimal is the tenths place

5 0

2 years ago

The Century club runs the concession stand during football games. They sell snacks and drinks. 50 snacks and 180 drinks will sel

katrin2010 [14]

Answer:

The cost of each drink is $1.5

Step-by-step explanation:

Let us represent

The cost of snacks = x

The cost of drinks = y

50 snacks and 180 drinks will sell for $320

Hence:

50x + 180y = 320....... Equation 1

75 snacks and 100 drinks will sell for $225.

Hence:

75x + 100y = 225....... Equation 2

Combining both Equations together

50x + 180y = 320....... Equation 1

75x + 100y = 225....... Equation 2

Multiply Equation 1 by 75 and Equation 2 by 50 to eliminate x

3750x + 13500y = 24000..... Equation 3

3750x + 5000y = 11250....... Equation 4

Subtract Equation 4 from Equation 3

8500y = 12750

y = 12750/8500

y = $1.5

Therefore, the cost of each drink is $1.5

4 0

2 years ago

Lucy made 3 cakes that each weighed 32 ounces. how many pounds of cake did lucy make

Anna11 [10]

There are 16 ounces in a pound. 3 x 32= 96
96/16=6

Lucy made 6 pounds of cake. Hope this helped!

5 0

2 years ago

Read 2 more answers

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