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3 years ago

The diameter of a cylinder is 3yd the height is 8yd

Mathematics

1 answer:

nalin [4]3 years ago

8 0

Answer:

volume= 56.55 yds

Step-by-step explanation:

If you're looking for the volume, the formula is $V=\pi r^{2} h$ .

Diameter is two times the radius (radius is half of the diameter) so the radius of the cylinder would be 1.5 yds.

After you've gotten that information, plug those values into the formula.

$V=\pi 1.5^{2} 8$

Solve 1.5^2 first. Then multiply that value by pi. Then multiply that value by the height which is 8yds.

Volume=56.55yds rounded to the nearest hunderedth.

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A seat on a Ferris wheel is level with the center of the wheel. The diameter of the wheel is 210 feet (ft). If the wheel

frutty [35]

Answer:

The change in the height of the seat of the Ferris wheel is a reduction in height of approximately 74.25 feet

Step-by-step explanation:

The given information are;

The position of the seat on the Ferris wheel = The center level of the wheel

The diameter of the Ferris wheel = 210 feet

The angle of rotation of the wheel = 45° counterclockwise

The height of a point on the Ferris wheel is given by the relation;

h = A·cos(b·x + c) + d

With regards to the question, we have;

h = The height of the seat of the Ferris wheel

A = The amplitude = 1/2 × The diameter of the wheel = 210/2 = 105 feet

360/b = The period

c = The phase shift = 90°

d = The mid line = 0

For a rotation of 45° counterclockwise or-45° clockwise, we have;

b·x = 45°, therefore;

h = 105 × cos(45° + 90°) + 0 = 105 × cos(135°) + 0

h = 105 × cos(135°) ≈ -74.25 feet

Therefore, the height of the seat of the Ferris wheel reduces by 74.246 feet.

6 0

3 years ago

Find the numbers b such that the average value of f(x) = 7 + 10x − 9x2 on the interval [0, b] is equal to 8.

barxatty [35]

Answer:

The numbers $b$ such that the average value of $f(x) = 7 +10\cdot x - 9\cdot x^{2}$ on the interval [0, b] is equal to 8 are $b_{1} \approx 1.434$ and $b_{2} \approx 0.232$ .

Step-by-step explanation:

The mean value of function within a given interval is given by the following integral:

$\bar f = \frac{1}{b-a}\cdot \int\limits^b_a {f(x)} \, dx$

If $f(x) = 7 +10\cdot x - 9\cdot x^{2}$ , $a = 0$ , $b = b$ and $\bar f = 8$ , then:

$\frac{1}{b}\cdot \int\limits^b_0 {7+10\cdot x -9\cdot x^{2}} \, dx = 8$

$\frac{7}{b}\int\limits^b_0 \, dx + \frac{10}{b} \int\limits^b_0 {x}\, dx - \frac{9}{b} \int\limits^b_0 {x^{2}}\, dx = 8$

$\left(\frac{7}{b} \right)\cdot b + \left(\frac{10}{b} \right)\cdot \left(\frac{b^{2}}{2} \right)-\left(\frac{9}{b} \right)\cdot \left(\frac{b^{3}}{3} \right) = 8$

$7 + 5\cdot b - 3\cdot b^{2} = 8$

$3\cdot b^{2}-5\cdot b +1 = 0$

The roots of this polynomial are determined by the Quadratic Formula:

$b_{1} \approx 1.434$ and $b_{2} \approx 0.232$ .

The numbers $b$ such that the average value of $f(x) = 7 +10\cdot x - 9\cdot x^{2}$ on the interval [0, b] is equal to 8 are $b_{1} \approx 1.434$ and $b_{2} \approx 0.232$ .

7 0

3 years ago

107,600 115,220 104,910 median, mode, mean

san4es73 [151]

Answer:

1. Mean = 342.7 (Rounding to the nearest tenth)

2. Median = 167.5

3. Mode = There isn't a mode for this set of numbers because there isn't a data value that occur more than once.

Step-by-step explanation:

Given this set of numbers: 107, 600, 115, 220, 104, 910, find out these measures of central tendency:

1. Mean = 107 + 600 + 115 + 220 + 104 + 910/6 = 342.7 (Rounding to the nearest tenth)

2. Median. In this case, we calculate it as the average between the third and the fourth element, this way:

115 + 220 =335

335/2 = 167.5

3. Mode = There isn't a mode for this set of numbers because there isn't a data value that occur more than once. All the data values occur only once.

5 0

3 years ago

Jamie did some push-ups on Monday and Tuesday. On Tuesday, he did 300 push-ups, which was three times the difference of the numb

Jlenok [28]

Answer:

The answer is 150, because 300 / 3 = 100, and 100 + 150 = 150.

6 0

3 years ago

56. If 6 men plough a field in 10 hours, how many hours will it take 4 men to do the same work? (Assuming they are

Aneli [31]

Answer:

15 hours, or B

Step-by-step explanation:

6 men - 10

12 men - 5

4 men - 15

Please mark as brainliest

8 0

3 years ago

Read 2 more answers