FP9 Maj 2010 matematik

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;"#$%&'8)9 Vis ved beregning, at massen af de sten, der er fyldt i 2 m af murens mellemrum, er ca. 110 ton. Arealet= 36,75m +C:F3B*B-:3, ,,$9)+%&<3 ;"#$%&'8): 6E5/5/=.& ;"#$%&'8)@ FE5/5/=.& LD@5E.%)>K Opstil en funktionsforskrift, der viser sammenhængen mellem længden af muren og massen af stenfyldet. U,33B F2%1;3=&'<361/<6=/'1&.3%M%HM++N

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eregn den normale gennemsnitsfart for skibet Vædderen i km/t. A04?$>0440/?4)(?$1#"(, *2$%4<K 64$%4<K, -:93%/T( -:93B*2, #K9$*%=-O& G.3%3</-5(.%15/&%./%#K9$*%=-O& ;"#$%&'3)9 Hvor mange døgn sparede skibet Vædderen ved at sejle gennem Panamakanalen i stedet for at sejle neden om S --*22T-+, 9C-:3+9.C-3 %/ +C.22T9C-:3+9.C-3+93, .*$E#>0$ .*G-+, *'$E#>0 F2%A.%6D5/.A.%)!%A5@.%E.A%5&%6.T(.%'@.33.-%D53.-%=535(.3 ;"#$%&'9)( Tegn i målestoksforholdet 1:300 den del af Pantheons tværsnit, som er vist med rødt på tegningen. FE5/5/=.& ;"#$%&'9)8 Indtegn de to retvinklede trekanter på tegningen af tværsnittet. FE5/5/=.& ;"#$%&'9)3 Hvor mange meter er diameteren i Oculus? `0>$@#"$/J&($("0%#4(04?$K"0E(0$()&$+$N/M WJ&0?(<%?1<"@<&E0($0"$-8+$IJ$(0>4)4>04:$?J$-$N/$&)>0$/0E$+$?J$[0>$>#4>0"$/0E$+ +B+, '$N/ F2%A'5-.&./.3%./%('@.%-.A%!%BLD@5E.%*>* Undersøg, om Solens stråler rammer Pantheons gulv. F<(.3%=53%@<A&%/5--.%S53&4.<36%@;(E>