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SVETLANKA909090 [29]
2 years ago
12

Which lines must be parallel?

Mathematics
2 answers:
borishaifa [10]2 years ago
7 0
R and s have to be parallel
Gnom [1K]2 years ago
3 0

Answer:

The answer is option A) <em>r</em><em> </em>and <em>s</em>

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ПОЖАЛУЙСТА ПОМОГИТЕ РЕШИТЬ ДАЮ 23 ОЧКА!!!
posledela

(Простите, пожалуйста, мой английский. Русский не мой родной язык. Надеюсь, у вас есть способ перевести это решение. Если нет, возможно, прилагаемое изображение объяснит достаточно.)

Use the shell method. Each shell has a height of 3 - 3/4 <em>y</em> ², radius <em>y</em>, and thickness ∆<em>y</em>, thus contributing an area of 2<em>π</em> <em>y</em> (3 - 3/4 <em>y</em> ²). The total volume of the solid is going to be the sum of infinitely many such shells with 0 ≤ <em>y</em> ≤ 2, thus given by the integral

\displaystyle 2\pi \int_0^2 y \left(3-\frac34 y^2\right) \,\mathrm dy = 2\pi \left(\frac32 y^2 - \frac3{16} y^4\right)\bigg|_0^2 = 6\pi

Or use the disk method. (In the attachment, assume the height is very small.) Each disk has a radius of √(4/3 <em>x</em>), thus contributing an area of <em>π</em> (√(4/3 <em>x</em>))² = 4<em>π</em>/3 <em>x</em>. The total volume of the solid is the sum of infinitely many such disks with 0 ≤ <em>x</em> ≤ 3, or by the integral

\displaystyle \pi \int_0^3 \left(\sqrt{\frac43x}\right)^2 \,\mathrm dx = \frac{2\pi}3 x^2\bigg|_0^3 = 6\pi

Using either method, the volume is 6<em>π</em> ≈ 18,85. I do not know why your textbook gives a solution of 90,43. Perhaps I've misunderstood what it is you're supposed to calculate? On the other hand, textbooks are known to have typographical errors from time to time...

8 0
3 years ago
PLEASE HELP ASAP!!!!! a simulation by tossing a coin to model whether these puppies will be male or female. • Let heads (H) = fe
weeeeeb [17]

Answer:

7/10 or 70%

Step-by-step explanation:

There has to be at least two T in each result of the simulation. This means you can also have 3 T's and 4 T's in the result.

These are the results that qualify as having at least two T's.

1. TTTT, 2. TTTT, 3. THTH, 4. HTTT, 5. TTTT, 7. HTHT, 9. THTH

That is 7 out of the 10 results which is 7/10 or 70%

3 0
1 year ago
Ayden's monthly bank statement showed the following deposits and withdrawals:
kumpel [21]
$65.91 should be the account balance at the end of the month
3 0
3 years ago
Karens batting average is 0.444.she was at bat 45 times. how many hits did she get
alexgriva [62]

Answer:

A batting average is simply the ratio of hits/at-bats.  So, if Karen were up to bat 1,000 times and she got a hit 444 times, that makes her batting average 444/1,000 = .444.

The good news is you can multiply this ratio by number of at bats to get the number of hits.

So, 45 hits x .444 = your answer.

Hope that helps.

4 0
3 years ago
Find the quotient of `(2i(4+5i)(4-5i))/(4+i)`, and express it in the simplest form.
DIA [1.3K]

Answer:

(328i + 82)  /  17

Step-by-step explanation:

`(2i(4+5i)(4-5i))/(4+i)

= (2i(16 - 25i^2)) / (4 + i)

= (2i( 16 + 25) )) / (4 + 1)        [Note:- i^2 = -1]

=  82i / (4 + i)

= 82i(4 - i) / (4 + i)(4 - 1)

= 328i  + 82 /   (16 - i^2)

= (328i + 82)  /  17

5 0
3 years ago
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