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4 years ago

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Mr.ammad wants to fence the boundaries of his house but he is not sure how much fencing wire should he buy if he wants to put a

double layer of wires . (the dimensions of his house are 177m*102m) also state how much it would cost him if a single metre of wire costs rs.10

1 answer:

pogonyaev4 years ago

4 0

Answer:

He needs 1,116 m of wire. If a meter of wire costs $10, then the total wiring will cost $11,160.

Step-by-step explanation:

Since he wants to double layer the fencing of his house, he'll need at least two times the length of the perimeter of his house in wires. Since his house has a rectangular shape, it's perimeter is given by the following formula:

perimeter = 2*length + 2*width

perimeter = 2*177 + 2*102 = 354 + 204 = 558 m

wire = 2*perimeter = 2*558 = 1116 m

He needs 1116 m of wire.

If each meter of wire costs $10, then the whole wiring will cost:

total cost = wire*10 = 1116*10 = $11,160

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A computer shop charges 20 pesos per hour for first two hours and an additional 10 pesos per hour for each succeeding hour. Repr

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R(t)=10t+20. This shows the first 20 pesos, and the additional 10 pesos for every hour. Hope this helps.

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3 years ago

Read 2 more answers

Stephanie has an aquarium that is in the shape of a right rectangular prism, 50 centimetres long, 25 centimetres wide and 30 cen

Bess [88]

To solve this, we are going to use the volume formula for a rectangular prism: $V=lwh$
where
$V$ is the volume of the prism
$l$ is the length of the prism
$w$ is the width of the prism
$h$ is the height of the prism

We are also using the volume of a sphere formula: $V= \frac{4}{3} \pi r^{3}$
where
$V$ is the volume of the sphere
$r$ is the radius of the sphere

Part A: Since she <span>wants a layer of marbles in the bottom of the tank about 5 centimeters deep, the height of this little rectangular prism will be 5 centimeters, so </span> $h=5$ . Since the other measures of our little rectangular prism are the same as the aquarium, $l=50$ and $w=25$ . Lets replace those values in our volume formula:
$V=lwh$
$V=(50)(25)(5)$
$V=6250 cm^{3}$
Now that we know that she wants to cover a volume of 6250 $cm^{3}$ with marbles, lets find the volume of each marble.
We know that the diameter of each marble is 1 cm. Since the radius is of a sphere is half its diameter, $r= \frac{1}{2} =0.5$ . Lets replace that value in our volume formula:
$V= \frac{4}{3} \pi r^{3}$
$V= \frac{4}{3} \pi (0.5)^{3}$
$V=0.52 cm^{3}$
Now, let $x$ the number of marbles she will need to cover a volume of 6250 $cm^{3}$ :
$0.52x=6250$
$x= \frac{6250}{0.52}$
$x=12019.23$
Since we know that each bag of marbles has 500 marbles, we are going to divide the number of marbles she will need by the number of marbles in each bag:
$\frac{12019.23}{500} =24.03$

We can conclude that to fill a layer of 5 cm with marbles, she will need 24 bags of marbles.

Part B: We know that she already have 5 cm of her aquarium filled with marbles, and that she also added water <span>until it’s level is 3 centimeters below the top of the tank, so to find the height of this new rectangular prism, we are going to subtract 5 cm plus 3 cm from the original height of her aquarium:
</span> $h=30-(5+8)$
$h=30-13$
$h=17cm$
Since the other measures of our little rectangular prism are the same as the aquarium, $l=50$ and $w=25$ . Lets replace those values in our volume formula:
$V=lwh$
$V=(50)(25)(17)$
$V=21250cm^{3}$
Remember that $1litre=1000cm^{3}$ . So:
$(21250cm^3)( \frac{1litre}{1000cm^{3})} =21.25liters$

We can conclude that there are 21.25 liters of water in the tank.

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3 years ago

Hamburger Hut sells regular hamburgers as well as a larger burger. Either type can include cheese, relish, lettuce, tomato, must

Studentka2010 [4]

Answer:

a) 40 different hamburgers can be ordered with exactly three extras

b) 20 different regular hamburgers can be ordered with exactly three extras

c) 7 different regular hamburgers can be ordered with at least five extras

Step-by-step explanation:

The order in which the extras are ordered is not important. So we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this problem:

2 options of hamburger(regular or larger)

6 options of extras(cheese, relish, lettuce, tomato, mustard, or catsup.).

(a) How many different hamburgers can be ordered with exactly three extras?

1 hamburger type, from a set of 2.

3 extras, from a set of 6. So

$C_{2,1}*C_{6,3} = \frac{2!}{1!(2-1)!}*\frac{6!}{3!(6-3)!} = 2*20 = 40$

40 different hamburgers can be ordered with exactly three extras

(b) How many different regular hamburgers can be ordered with exactly three extras?

3 extras, from a set of 6. So

$C_{6,3} = \frac{6!}{3!(6-3)!} = 20$

20 different regular hamburgers can be ordered with exactly three extras

(c) How many different regular hamburgers can be ordered with at least five extras?

Five extras:

5 extras, from a set of 6. So

$C_{6,5} = \frac{6!}{5!(6-5)!} = 6$

Six extras:

6 extras, from a set of 6. So

$C_{6,6} = \frac{6!}{6!(6-6)!} = 1$

6 + 1 = 7

7 different regular hamburgers can be ordered with at least five extras

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3 years ago

100 liters equals what, use the correct unit of measurement to convert Thank you

hram777 [196]

Thanks for the question!

Using the metric acronym:

King - Kilo-
Henry - Hecto-
Died - Deka-
By - Base
Drinking - deci-
Chocolate - centi-
Milk - milli-

Since hecto- is two up from base and 100 has 2 zeros. your answer is a hectoliter.

Hope this helps!

7 0

4 years ago

Vanyuwa [196]

Answer:

The penquins had more fish.

Number of fish polar bears and penguins had combined is 5,520.

Step-by-step explanation:

The polar bears had 2,208 fish (48 piles times 46 fish).

The penquins had 3,312 fish (144 piles [48 times 3] times 23 fish [46 divided by 2]).

2208 fish plus 3312 fish equals 5,520 fish.

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3 years ago