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Lorico [155]
3 years ago
6

If you get this I’ll mark you brilliance

Mathematics
1 answer:
djyliett [7]3 years ago
6 0

Answer:

1256cm^{3}

Step-by-step explanation:

Use the formula for the volume of a cylinder V=3.14(r^{2}) h so then you plug in the values to get 1256cm^{3}

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The mass of the part of a metal rod that lies between its left end and a point x meters to the right is 4x2 kg. (See this exampl
Ganezh [65]

Answer:

A) 32 kg/m

B) 48 kg/m

C) 72 kg/m

Step-by-step explanation:

We are given mass is; m = 4x²

Linear density is the derivative of mass with respect to the position x. So linear density is;

ρ = dm/dx

Differentiating 4x²,we have; ρ = 8x

A)at x = 4; ρ = 8(4) = 32 kg/m

B) at x = 6; ρ = 8(6) = 48 kg/m

C) at x = 9; ρ = 8(9) = 72 kg/m

5 0
3 years ago
Please help asap 25 pts
Alona [7]
Hey there

the answer is A

5 0
3 years ago
Read 2 more answers
What is the margin of error for a yes/no survey of 200 people with a proportion of 65% who answered \"yes\"?. A. ±3.37%. B. ±5.0
azamat
\sqrt{(p*q)/n}

where p is the number of positive outcomes (yes) and q is the number of negative outcomes (no).

\sqrt{(0.65*(1-0.65))/200} = 0.0337 or 3.37%

answer is A.
6 0
4 years ago
A soccer player stands in the south east corner of a 72 yard x 65 yard field and kick the soccer ball All the way to a player in
lubasha [3.4K]

Answer:

Using the Pythagorean Theorem:

distance^2 = 72^2 + 65^2

distance^2 = 5,184 + 4,225

distance^2 = 9,409

distance = 97 yards

"round-trip" distance = 97 * 2 = 194 yards

Step-by-step explanation:

4 0
3 years ago
A group of rowdy teenagers near a wind turbine decide to place a pair of
Marrrta [24]

Answer:

a) Hence the equation of the sinusoidal function that describes the height of the shorts in terms of time is y = 9 + 7* sin(\pi * t / 15 - \pi  / 6)

b) Hence the height of the shorts at exactly t = 10 minutes, to

the nearest tenth of a meter is 5.5 meters

Step-by-step explanation:

a) The wind turbine blade traverses a circular path as it rotates with time (t), whose time variation is given by the following trajectory equation :

x^2 + (y-yc)^2 = R^2 ,

where  

R = (16 m - 2 m)/2 (since diameter = maximum height - minimum height of the pink short)

= 14 m / 2

= 7 m (radius of the circle)

Also, center of the circle will be at (0, 2 + R) i.e (0,9)

So,  is the trajectory path equation to the circle

Let x = 7* cos(w*t + \phi ) & y = 9 + 7* sin(w* t + \phi) be the parametric form of the above circle equation which represent the position of the pink shorts at the tip of the blade at time t  

At t= 10s, y = 16 m so we have,

9 + 7 * sin(10* w + \phi) = 16 ---------------(1)

Also, at t= 25s, y =2 m so we have,

9 + 7* sin(25 * w +\phi) = 2--------------(2)

Solving we have, 10* w + \phi = \pi/2 & 25*w + \phi = 3*pi/2

15* w = \pi\\\\w = \pi/15 & \phi = \pi/2 - 10*\pi/15 = -\pi / 6  

Therefore y = 9 + 7* sin(\pi * t / 15 - \pi  / 6) is the instantaneous height of the pink short at time t ( in seconds)

b) At t= 10minutes = 10 * 60 s = 600s, we have,

y = 9 + 7 * sin(\pi * 600/15 - \pi / 6)\\\\= 9 + 7 * sin(40* \pi - \pi / 6)

= 5.5 meters (pink short will be at 5.5 meters above ground level at t= 10 minutes)

5 0
3 years ago
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