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3 years ago

Jaime is wrapping a ring. He put the ring in a square pyramidal box before wrapping it.

Mathematics

1 answer:

Margaret [11]3 years ago

5 0

Answer

8 x 2.75=22 inches

Step-by-step explanation:

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A rectangular garden of area 456 square feet is to be surrounded on three sides by a brick wall costing $ 12 per foot and on one

solniwko [45]

Answer:

$l=2\sqrt{114}feet$ $b=2\sqrt{114}feet$ $\left ( l,b \right )=(21.3541,21.3541)$

Step-by-step explanation:

Given,

Area of garden=456 square feet

Brick wall cost three sides $=\$ 12$ per foot

fencing cost of one side $=\$ 7$ per foot

Let length and breadth of rectangular field is (l,b) feet

For minimizing the cost of material perimeter of garden should be minimum and area of garden is more.

Perimeter of garden $=2\left ( l+b \right )=k$

$l+b=k/2$

$l=k/2-b$

A= $l\times b=456$

A= $\left ( k/2-b \right )b=456$

Differentiating the equation to find maximum area

$\frac{d}{db}(\left ( k/2-b \right )b)=\frac{\partial 456}{\partial b}$

$k/2-2b=0$

$k=4b$

$l=4b/2-b$

$l=b$

To find $maxima$ again differentiating

$\frac{\partial A^2 }{\partial b^2}=\frac{\partial \left ( k/2-2b \right )}{\partial b}$

$\frac{\partial A^2 }{\partial b^2}$

The area is maximum when l=b

and perimeter is minimum

$l\times b=456$

$b^{2}=456$

$b=2\sqrt{114}feet$

$l=2\sqrt{114}feet$

Cost material

$=2\sqrt{114}\times 3\times 12+2\sqrt{114}\times 7$

$=72\sqrt{114}+14\sqrt{114}$

$=\$ 86\sqrt{114}$

$=\$ 918.22873$

Dimension of rectangular garden

$\left ( l,b \right )=(21.3541,21.3541)$

4 0

3 years ago

Increase £120 by 40%

leonid [27]

Answer:

£168

Step-by-step explanation:

To increase £120 by 40%, multiply 120 by 1.4

120(1.4)

= 168

So, £120 increased by 40% is £168

4 0

3 years ago

Every day the Washington pet store uses 3/4 of a bag of dog food to feed the dogs his many days will 1 1/2 bags of dog food last

harkovskaia [24]

Answer:

2 days

Step-by-step explanation:

3 0

4 years ago

Elise does not like sorbet, so she omits that ingredient and adds 5 percent of each of the other ingredients. How many cups of p

Arisa [49]

Answer:

20 cups of punch

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

If Elise adds 5 percent of each of the other ingredients

then

the new percentages are

Ginger Ale=40%+5%=45%

Orange Juice=25%+5%=30%

Pineapple Juice=20%+5%=25%

Sorbet=0%

Find out how many cups of punch will she have if she uses 6 cups of orange juice, using proportion

Let

x ----> the total cups of punch

$\frac{6}{30\%}=\frac{x}{100\%}\\\\x=6(100)/30\\\\x=20\ cups\ of\ punch$

6 0

3 years ago

I need help please!:D

True [87]

5×15= 75 the 4 days is irrelevant

4 0

3 years ago

Read 2 more answers