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matrenka [14]
3 years ago
8

Jayden painted 1/6 of a wall in 2/3 hour. At this rate , how many hours will it take Jayden to paint the wall.

Mathematics
1 answer:
Anni [7]3 years ago
4 0

Answer:

Step-by-step explanation:

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Y = 3 sin2x, y = 0, 0 ≤ x ≤ π; about the x−axis
Dominik [7]
I assume you're revolving the region with those bounds about the x-axis, and supposed to find the volume.

Via the disk method,

\displaystyle\pi\int_0^\pi(3\sin2x)^2\,\mathrm dx=9\pi\int_0^\pi\sin^22x\,\mathrm dx

Recall the half-angle identity for sine:

\sin^2t=\dfrac{1-\cos2t}2
\implies\displaystyle\frac{9\pi}2\int_0^\pi(1-\cos4x)\,\mathrm dx
=\displaystyle\frac{9\pi}2\left(x-\frac14\sin4x\right)\bigg|_{x=0}^{x=\pi}
=\dfrac{9\pi^2}2
8 0
3 years ago
The sum of two numbers is 10. The larger number is 4
ser-zykov [4K]

Answer:

8

Step-by-step explanation:

I've taken test

7 0
2 years ago
Read 2 more answers
Please help me I’m dying
Alex

Answer:

a° = 58°

b° = 48°

c = 74°

d° = 122°

Step-by-step explanation:

<em>Angles on a straight line add up to 180°</em>

58° + d° = 180°

d° = 180° - 58° = 122°

<em>Alternate angles are equal.</em>

a° = 58°

<em>Angles in a triangle add up to 180°.</em>

48° + 58° + c° = 180°

106° + c° = 180°

c° = 180° - 106° = 74°

<em>Angles on a straight line add up to 180°</em>

74° + 58° + b° = 180°

132° + b° = 180°

b° = 180° - 132° = 48°

5 0
2 years ago
8. Loren already knows that he will have $500,000 when he retires. If he sets up a payout
Ulleksa [173]

The annuity could provide $221.19 each month

Step-by-step explanation:

The ANNUITY FORMULA is P_{t}=\frac{d[(1+\frac{r}{n})^{nt}-1]}{\frac{r}{n}} , where

1. P_{t} is the balance in the account after t years

2. d is the regular deposit (the amount you deposit each year or month

    or .........)

3. r is the annual interest rate in decimal

4. n is the number of compounding periods in one year

5. t the number of years

∵ Loren knows that he will have $500,000 when he retires

∴ P_{t} = $500,000

∵ he sets up a payout  annuity for 30 years in an account paying 10%

  interest

∴ t = 30 years

∴ r = (10/100) = 0.1

∵ The annuity  could provide each month

∴ n = 12

Substitute the values above in the formula

∴ 500,000=\frac{d[(1+\frac{0.1}{12})^{(12)(30)}-1]}{\frac{0.1}{12}}

∴ 500,000=\frac{d[(1.00833333)^{360}-1]}{0.00833333}

∴ 500,000 = d [2260.487925]

- Divide both sides by 2260.487925

∴ d = $221.19

The annuity could provide $221.19 each month

Learn more:

You can learn more about deposit in brainly.com/question/8782252

#LearnwithBrainly

8 0
3 years ago
Every day, Katie looks for seashells on the beach. She has 28 shells in her collection. Katie finds 12 more shells each day. Wri
Mashcka [7]
100<28+12d

If she wants to collect over 100 then the 100 would be less than (<) what she collects. She is starting with 28 so whatever she collects is added on. Because she collects 12 a day, you would multiply 12 by however many days, d, she collects. 
8 0
3 years ago
Read 2 more answers
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