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3 years ago

11

The area of a rectangular pool is 3621 m². If the width of the pool is 51 m, what is its length?

1 answer:

Sladkaya [172]3 years ago

8 0

Answer:

71 m

Step-by-step explanation:

To find the answer all you need to do is take the width, w, and divide the area, a, to get length, l.

You might be interested in

The value of the given digits the 4s in 244

Digiron [165]

244

The 4's are in the ONE's and TEN's places

4 0

2 years ago

The ratio of boys to girls in a school is 5:8.If the number of girls exceeds the number of boys by 144, calculate the total numb

True [87]

Answer:

Step-by-step explanation:

624 students

Since they’re only 3 parts more girls then boys and the number equals 144, you just have to divide 144 by 3. You’ll get 48

Multiply 5 and 8 by 48 to get 240 and 384 and add to get 624 which is the answer

4 0

3 years ago

Given the sequence 1/2 ; 4 ; 1/4 ; 7 ; 1/8 ; 10;.. calculate the sum of 50 terms

miv72 [106K]

<u>Hint </u><u>:</u><u>-</u>

Break the given sequence into two parts .
Notice the terms at gap of one term beginning from the first term .They are like $\dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8}$ . Next term is obtained by multiplying half to the previous term .
Notice the terms beginning from 2nd term , $4,7,10,13$ . Next term is obtained by adding 3 to the previous term .

<u>Solution</u><u> </u><u>:</u><u>-</u><u> </u>

We need to find out the sum of 50 terms of the given sequence . After splitting the given sequence ,

$\implies S_1 = \dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8}$ .

We can see that this is in <u>Geometric</u><u> </u><u>Progression </u> where 1/2 is the common ratio . Calculating the sum of 25 terms , we have ,

$\implies S_1 = a\dfrac{1-r^n}{1-r} \\\\\implies S_1 = \dfrac{1}{2}\left[ \dfrac{1-\bigg(\dfrac{1}{2}\bigg)^{25}}{1-\dfrac{1}{2}}\right]$

Notice the term $\dfrac{1}{2^{25}}$ will be too small , so we can neglect it and take its approximation as 0 .

$\implies S_1\approx \cancel{ \dfrac{1}{2} } \left[ \dfrac{1-0}{\cancel{\dfrac{1}{2} }}\right]$

$\\\implies \boxed{ S_1 \approx 1 }$

$\rule{200}2$

Now the second sequence is in Arithmetic Progression , with common difference = 3 .

$\implies S_2=\dfrac{n}{2}[2a + (n-1)d]$

Substitute ,

$\implies S_2=\dfrac{25}{2}[2(4) + (25-1)3] =\boxed{ 908}$

Hence sum = 908 + 1 = 909

7 0

2 years ago

Pls help me find the answer

gregori [183]

The surface area is 1536

3 0

3 years ago

Giving brainliest :)

Verizon [17]

Answer:

$f^{-1}(x)=x^2+1$

Step-by-step explanation:

The inverse of a function is when the x and y are swapped. So the first step is to write f(x) as y and then swap the x and y

Original Equation:

$f(x)=\sqrt{x-1}\\$

write f(x) as y (since that's what it represents)

$y=\sqrt{x-1}$

Swap x and y

$x=\sqrt{y-1}$

Square both sides

$x^2=y-1$

Add 1 to both sides

$x^2+1=y$

So this gives you the equation:

$f^{-1}(x)=x^2+1$

8 0

2 years ago