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3 years ago

If it takes 6 men 4 days to dig a hole 3 metres deep, how long will it take 10 men to dig same hole 7 metres deep?

Mathematics

2 answers:

Orlov [11]3 years ago

8 0

Answer:

It will take 5.6 days for the 10 men to dig the same hole 7 m deep.

Step-by-step explanation:

Laying the data in column

----------------------------------------------------

6 men 3 m hole 4 days

10 men 7 m hole x days

-----------------------------------------------------

As $6$ men dig a hole in $4$ days, so their rate will be:

$rate\:=\:\frac{4}{3}$

Then $6$ men would take $7\times \frac{4}{3}=\frac{28}{3}$ days to dig a hole of depth 7 m.

As we are letting 10 men do work, so they would

take $\frac{6}{10}\times \frac{28}{3}=\frac{28}{5}$ days.

$\frac{6}{10}\times \frac{28}{3}=\frac{28}{5}$

$=5.6$ days

Therefore, it will take 5.6 days for the 10 men to dig the same hole 7 m deep.

son4ous [18]3 years ago

4 0

Step-by-step explanation:

6 men → 4 days → 3 metres

1 man → 24 days → 3 metres

1 man → 8 days → 1 metres

1 man → 56 days → 7 metres

10 men → 5.6 days → 7 metres

therefore, 5.6 days

Topic: direct n inverse proportions

If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!

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Find the lateral area and surface area of a cone with a radius of 12 and a height of 21

marishachu [46]

Answer:

The Lateral Surface Area is 911.32 square unit and

Total Surface Area is 1361.7 square unit.

Step-by-step explanation:

For a given Cone

Radius (r) = 12

Height (h) = 21

For Lateral Surface Area

<h3>Formula: </h3>

A = πr√r² + h²

A = 3.14 × 12 × √(12)² + (21)²

A = 3.14 × 12 × √144 + 441

A = 3.14 × 12 × √585

A = 37.68 × 24.18

A = 911.32 square unit

Now,

For Total Surface Area

<h3>Formula:</h3>

A = πrl + πr²

For Slant height (l)

l² = r² + h²

l² = (12)² + (21)²

l² = 144 + 441

l² = 585

l = 24.18

So,

A = πrl + πr²

A = πr(l + r)

A = 3.14 × 12 × (24.14 + 12)

A = 3.14 × 12 × 36.14

A = 1361.7 square unit

Thus, The Lateral Surface Area is 911.32 square unit and Total Surface Area is 1361.7 square unit.

-TheUnknownScientist

6 0

3 years ago

Read 2 more answers

Find all the zeros of the polynomial function p(x) = x3 – 5x2 + 33x – 29

hram777 [196]

Answer:

$\large \boxed{\sf \ \ x=1, \ \ x=2+5i, \ \ x=2-5i \ \ }$

Step-by-step explanation:

Hello,

I assume that we are working in $\mathbb{C}$ , otherwise there is only one zero which is 1. Please consider the following.

First of all, we can notice that 1 is a trivial solution as

$p(1) = 1^3-5\cdot 1^2 + 33\cdot 1-29=1-5+33-29=0$

It means that (x-1) is a factor of p(x) so we can find two real numbers, a and b, so that we can write the following.

$p(x)=(x-1)(x^2+ax+b)=x^3+ax^2+bx-x^2-ax-b=x^3+(a-1)x^2+(b-a)x-b$

Let's identify like terms as below.

a-1 = -5 <=> a = -5 + 1 = -4

b-a = 33

-b = -29 <=> b = 29

$\boxed{ \ p(x)=(x-1)(x^2-4x+29) \ }$

Now, we need to find the zeroes of the second factor, meaning finding x so that:

$x^2-4x+29=0 \ \text{ complete the square, 29 = 25 + 4} \\ \\ x^2-2\cdot 2 \cdot x+2^2+25=0 \\ \\ (x-2)^2=-25=(5i)^2 \ \text{ take the root } \\ \\x-2=\pm 5i \ \text{ add 2 } \\ \\ x = 2+5i \ \text{ or } \ x = 2-5i$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

5 0

3 years ago

Select all of the following models which represent a uniform probability model:

yulyashka [42]

Uniform in this sense means fair or even...

flipping a balanced coin, rolling a fair number cube, and both randoms i believe

6 0

3 years ago

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Please explain and answer correctly!! George flips a colored chip that is red on one side and black on the other a total of 20 t

sergejj [24]

Answer:

The chip has no memory so the probability is just 1/2.

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3 years ago

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In the figure, if the measure of 28 = 72°, what's the measure of 214?

goblinko [34]

Answer:

72°

Step-by-step explanation:

Angle 8 and angle 14 are corresponding angles.

∠8=∠14

72=∠14

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3 years ago