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3 years ago

How do I solve it. I don't understand where I should start the problem I have the formulas

Mathematics

1 answer:

anzhelika [568]3 years ago

5 0

Fist you have to find the volume which is 24 x 18 x 5= 2160 feet.
Then the dump truck can only take 8 cubic yards so then you have to make the 2160 feet into yards.
There are 3 feet in one yard so 2160/3=720
so now there are 720 yards and since the dump truck can only take 8 yards a trip then it would take 90 trips/dumps to empty out the area for the pool.
720/8=90
Hope this helps

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Step-by-step explanation:

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3 years ago

The cost of a circular table is directly proportional to the square of the radius. A circular table with a radius of 50cm costs

Lana71 [14]

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£135 is the correct answer.

Step-by-step explanation:

Let C be the cost of table.

And let R be the radius of table.

Cost of table is directly proportional to square of radius.

As per question statement:

$C\propto R^{2}$ or

$C=a\times R^2 ....... (1)$

where $a$ is the constant to remove the $\propto sign$ .

It is given that

$C_1 =$ £60 and $R_1 = 50\ cm$

$C_2 = ?$ when $R_2= 75\ cm$

Putting the values of $C_1$ and $R_1$ in equation (1):

$60=a \times 50^2 ....... (2)$

Putting the values of $C_2$ and $R_2$ in equation (1):

$C_2=a \times 75^2 ....... (3)$

Dividing equation (2) by (3):

$\dfrac{60}{C_2}= \dfrac{a \times 50^2}{a \times 75^2}\\\Rightarrow \dfrac{60}{C_2}= \dfrac{50^2}{75^2}\\\Rightarrow \dfrac{60}{C_2}= \dfrac{2^2}{3^2}\\\Rightarrow \dfrac{60}{C_2}= \dfrac{4}{9}\\\Rightarrow C_2 = 15 \times 9 \\\Rightarrow C_2 = 135$

So, <em>£135 is the correct answer</em>.

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