1.Przeksztalć wzór
a)V=¶r²h wyznacz r
b)P=2a+4ah wyznacz h
c)s=½(a+b)h wyznacz a
2.Rozwiąż:
√6 * √15
przez
√250
a)
b)
M
zad1
a)V=πr²h
r²=V/(πh)
r=√V/(√hπ )
P=2a+4ah
P=2a(1+2h)
P/2a=1+2h
(P/2a)-1=2h
h=[(P/2a )-1]:2
h=(P/4a) -½
c)
s=½(a+b)·h
s=½h(a+b)
a+b=s:½h
a+b=s: (h/2)
a+b=s·( 2/h)
a+b=(2s/h)
a=(2s/h)-b
zad2
(√6·√15)/√250=(√90)/√250 =(3√10)/(5√10)=³/₅
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1.Przeksztalć wzór
a)![V=\pi r^{2}h\\ \frac{V}{\pi rh}=r V=\pi r^{2}h\\ \frac{V}{\pi rh}=r](https://tex.z-dn.net/?f=V%3D%5Cpi+r%5E%7B2%7Dh%5C%5C+%5Cfrac%7BV%7D%7B%5Cpi+rh%7D%3Dr)
b)![P=2a+4ah\\ P-2a=4ah\\ \frac{P-2a}{4a}=h P=2a+4ah\\ P-2a=4ah\\ \frac{P-2a}{4a}=h](https://tex.z-dn.net/?f=P%3D2a%2B4ah%5C%5C+P-2a%3D4ah%5C%5C+%5Cfrac%7BP-2a%7D%7B4a%7D%3Dh)
2.Rozwiąż:
M
zad1
a)V=πr²h
r²=V/(πh)
r=√V/(√hπ )
b)
P=2a+4ah
P=2a(1+2h)
P/2a=1+2h
(P/2a)-1=2h
h=[(P/2a )-1]:2
h=(P/4a) -½
c)
s=½(a+b)·h
s=½h(a+b)
a+b=s:½h
a+b=s: (h/2)
a+b=s·( 2/h)
a+b=(2s/h)
a=(2s/h)-b
zad2
(√6·√15)/√250=(√90)/√250 =(3√10)/(5√10)=³/₅