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il63 [147K]
2 years ago
15

Comment denominator of 19/54

Mathematics
1 answer:
WINSTONCH [101]2 years ago
4 0
There is no common denominator because 19 is a prime number
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16

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What is 10 to the 3rd power times 10 to the 2nd power
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Select the two expressions that are equivalent to 4 + w + 12w.
Black_prince [1.1K]

Answer:

A. 4+ 13w and C. 2(2+6w) + w

Step-by-step explanation:

Hope this helps! They equal the same answer which is 13w + 4

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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
2 years ago
Find the area of a kite with diagonals 15 m and 7 m.​
lozanna [386]

Answer:

<h2>A = 52.5 m²</h2>

Step-by-step explanation:

The formula of an area of a kite:

A=\dfrac{e\cdot f}{2}

<em>e, f</em><em> - diagonals</em>

<em />

We have <em>e = 15m, f = 7m.</em>

Substitute:

A=\dfraC{(15)(7)}{2}=\dfrac{105}{2}=52.5\ m^2

3 0
3 years ago
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