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Vanyuwa [196]
3 years ago
14

Urgent help needed plz.

Mathematics
1 answer:
madreJ [45]3 years ago
7 0
There are 6 letters in the word "autumn" so 
6! = 6*5*4*3*2*1 = 720
represents the number of ways to arrange the letters (order matters)

Note how there are two letter "u"s here which can't be told apart. If we could tell them apart, then the answer would be 720. However, we can't tell them apart. So we're doubly counting things. To undo this, we divide by 2

720/2 = 360

------------------------------------------------

Final Answer: 360
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Step-by-step explanation:

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Since the base is 3 inches and the height is 4 inches, as well as the area of a triangle being base*height/2, we get 3*4/2=6 in. for each triangle. Since we need 20 pieces for each puzzle, we multiply 6 by 20 to get 120. In addition, since 80 puzzles are needed, with 20 pieces for each puzzle, we have 120 inches for each puzzle and 120*80 = 9600 square inches of wood used
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Find the area round to two decimal places as needed
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A=\frac{b\cdot h}{2}

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3 0
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Eva8 [605]
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If a cannonball is shot directly upward with a velocity of 160 ft per​ second, its height above the ground after t seconds is gi
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Step-by-step explanation:

If a cannonball is shot directly upward with a velocity of 160 ft per​ second. Its height as a function of time is given by :

h(t)=160t-16t^2 .......(1)

t is in seconds

(a) Velocity is given by :

v=\dfrac{dh}{dt}\\\\v=\dfrac{d(160t-16t^2)}{dt}\\\\v=(160-32t)\ ft/s  

Acceleration is given by :

a=\dfrac{dv}{dt}\\\\a=\dfrac{d(160-32t)}{dt}\\\\a=-32\ ft/s^2

(b) For maximum height put \dfrac{dh}{dt}=0

i.e.

160-32t=0\\\\t=5\ s

Put t = 5 s in equation (1). So,

h(5)=160t-16t^2\\\\h(5)=160(5)-16(5)^2\\\\h(5)=400\ ft

(c) When the ball reaches ground, its height is equal to 0. So,

h(t) = 0

160t-16t^2=0\\\\t(160-16t)=0\\\\t=0,t=10\ s

Hence, this is the required solution.

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