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4 years ago

What is the maximum water the pool holds?

Mathematics

1 answer:

Sedaia [141]4 years ago

3 1

How in the whole entire world yall do that sorry i cant tell u the answer cuz i dont know

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I need help on how to do Angle Relationships.

mote1985 [20]

Answer:

it would be 50

Step-by-step explanation:

i would be 50 because you have to multiply 2 by x and then add 10 to get 110 degrees so that would look like this 2 * 50 + 10 = 110 degrees

8 0

3 years ago

How do I solve for x?

NISA [10]

Write and solve an equation of ratios based upon the fact that the small and large triangles shown are similar:

5 6
---- = ---------
14 6 + x

Then 30 + 5x = 84, and 5x = 54, and so x = 54/5, or 10.8, or 10 4/5.

5 0

3 years ago

What will be the value of

madreJ [45]

The expression as given doesn't make much sense. I think you're trying to describe an infinitely nested radical. We can express this recursively by

$\begin{cases}a_1=\sqrt{42}\\a_n=\sqrt{42+a_{n-1}}\end{cases}$

Then you want to know the value of

$\displaystyle\lim_{n\to\infty}a_n$

if it exists.

To show the limit exists and that $a_n$ converges to some limit, we can try showing that the sequence is bounded and monotonic.

Boundedness: It's true that $a_1=\sqrt{42}\le\sqrt{49}=7$ . Suppose $a_k\le 7$ . Then $a_{k+1}=\sqrt{42+a_k}\le\sqrt{42+7}=7$ . So by induction, $a_n$ is bounded above by 7 for all $n$ .

Monontonicity: We have $a_1=\sqrt{42}$ and $a_2=\sqrt{42+\sqrt{42}}$ . It should be quite clear that $a_2>a_1$ . Suppose $a_k>a_{k-1}$ . Then $a_{k+1}=\sqrt{42+a_k}>\sqrt{42+a_{k-1}}=a_k$ . So by induction, $a_n$ is monotonically increasing.

Then because $a_n$ is bounded above and strictly increasing, the limit exists. Call it $L$ . Now,

$\displaystyle\lim_{n\to\infty}a_n=\lim_{n\to\infty}a_{n-1}=L$

$\displaystyle\lim_{n\to\infty}a_n=\lim_{n\to\infty}\sqrt{42+a_{n-1}}=\sqrt{42+\lim_{n\to\infty}a_{n-1}}$

$\implies L=\sqrt{42+L}$

Solve for $L$ :

$L^2=42+L\implies L^2-L-42=(L-7)(L+6)=0\implies L=7$

We omit $L=-6$ because our analysis above showed that $L$ must be positive.

So the value of the infinitely nested radical is 7.

4 0

3 years ago

Whats the total cost of an item that sells for $17.00, if the sales tax rate is 7%

Rainbow [258]

The total cost for this item is $18.19.
To find the sales tax of something, you move the decimal two places to the left on the percent. Then you multiply the items cost and the tax together, which gets you $1.19. Add the original amount with 1.19 and you get 18.19.

3 0

3 years ago

Read 2 more answers

What is the value of x?

nika2105 [10]

AC is the hypotenuse of triangle ABC.

Because the length is 6√2 and angle A is 45 degrees, we know the length of both sides is 6.

This means AB is 6, which it the hypotenuse of triangle BCD.

Using cos(angle) = adjacent leg / hypotenuse we can find x:

cos(60) = X / 6

x = 6 * cos(60)

x = 3