bulprisa math

7/25/2019 BulPriSA Math

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SANTIAGO TRILLANA ACADEMYMabini St. San Sebastian, Hagonoy, Bulaan.

Tel. No. !"##$%&'()'(##SEC. REG. NO. CS200706588

QUESTION: *in+ te -ei/ete o0 te etangle 0o/e+ by te -oints !(#, 1$, !(#, ('$, !), 1$, an+!), ('$

ANSWER: P=10

+2106

By +istane 0o/ula2

d=(4(4 ))2+(32)2 d=(55)

2+(32)2

d=5 d=5

d=(5(4))2+(2(3))2

55d=2+(32)2

d=106 d=106

Find the perieter: ! " 2# $ 2%

P=2 (5)+2(106)

P=10+2106

REFERENCE: Ne3t Centuy Mate/atis 4"AUT&OR: Oines, Manalo, Mea+o, Es-aago, Reyes!AGE: '4&

'EAR OF !U()ICATION: 1"4)



QUESTION: Dete/ine te *enter +nd r+di,-o0 a ile 5ose e6uation is

x2+y2+8x6y24=0

ANSWER:

x2+y2+8x6y24=0

(x2+8x )+(y26y )=24

(x2+8x+16 )+(y26y+9 )=24+16+9

(x+4 )2+(y3 )2=49


2/6

(x+4 )2+(y3 )2=72

CENTER: /1 3r " 7

REFERENCE: Ne3t Centuy Mate/atis 4"AUT&OR: Oines, Manalo, Mea+o, Es-aago, Reyes!AGE: ')&




QUESTION: Dete/ine 5ete te e6uation x2+y2+2x6y+12=0 e-esents a CIRC)E, a

!OINT, o as NO GRA!&7

ANSWER:Sine r

2=2 , te e6uation asNO GRA!&

.

x2+y2+2x6y+12=0

x2+y2+2x6y=12

(x2+2x )+(y26y )=12

(x2+2x+1 )+(y26y+9 )=12+1+9

(x+1 )2+(y3)2=2

Sine r2=2 , te e6uation as NO GRA!&.

REFERENCE: Ne3t Centuy Mate/atis 4"AUT&OR: Oines, Manalo, Mea+o, Es-aago, Reyes!AGE: '84




QUESTION: I0 te /i+-oint bet5een a -oint an+ !(), #$ is !1, )$, ten 5at is te ote -oint7


3/6

ANSWER: !4int: 1 63 " /51 " 1 " 21 " 5

xm=(x1+x22 ); y m=(y

1+y

2

2 ) 2=(5+x22 );5=(

4+y2

2 ) 4=5+x

2;10=4+y

2

x2=9y

2=6

!4int: 1 63

REFERENCE: Global Mate/atis 4"AUT&OR: Banaag, 9uan!AGE: '48

'EAR OF !U()ICATION: 1"4'



QUESTION:Te su/ o0 te /easues o0 te inteio angles o0 a on:e3 -olygon is &"";. Classi0yte -olygon by te nu/be o0 si+es7ANSWER: &ept+94n

!n < 1$4="; > &"";n < 1 > ) !+i:i+e bot si+es by 4=";$

n " 7

REFERENCE: 14STCentuy Mate/atis &AUT&OR: Guea, ?uo, Reyes, Sy Tan, Cenita, Ga+ia, Cua!AGE: 1'%

'EAR OF !U()ICATION: 1"4#




4/6

QUESTION: @at is te lengt o0 a +iagonal o0 a tele:ision seen i0 te seen is #"=// 5i+ean+ )##// ig7ANSWER: 680

By ?ytagoean Teoe/2

c=(408)2+(544)2

c=166,464+295,936

c=462,400

c=680

REFERENCE: 14STCentuy Mate/atis &AUT&OR: Guea, ?uo, Reyes, Sy Tan, Cenita, Ga+ia, Cua!AGE: 1''




QUESTION:Te s-ee+ o0 a i:e is '/i. A /otoboat ta:els =/i u-stea/ at te sa/e ti/e ittaes to ta:el 41/i +o5nstea/. @at is te s-ee+ o0 te boat in still 5ate7ANSWER: 5ih

t=dr

12

x+3=

8

x3

12x36=8x+24

4x=60

x=15

REFERENCE: 14STCentuy Mate/atis &AUT&OR: Guea, ?uo, Reyes, Sy Tan, Cenita, Ga+ia, Cua!AGE: #1



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QUESTION: A looout s-ots a e 0o/ a 1#(/ete to5e. Te angle o0 +e-ession 0o/ teto5e to te e is '";. Ho5 0a is te e 0o/ te base o0 te to5e7

ANSWER:23

meter

tan 60= x

24

3= x

24

x=23

REFERENCE: Cone-tual Mat Beyon+ &AUT&OR: Benal, Lo-e!AGE: '''



Tel. No. !"##$%&'()'(##

SEC. REG. NO. CS200706588

QUESTION: A0te a nee sugey, an atlete as been a+:ise+ to etun to is Fogging -oga/slo5ly. Te taine suggest Fogging 0o 41 /inutes ea +ay 0o te st 5ee. Ea 5eeteea0te, e suggests an inease in ti/e by 8 /inutes -e +ay 0o ea suee+ing 5ee. Ho5/any 5ees 5ill it tae be0oe te atlete an ea 8" /inutes Fogging ti/e -e +ay7ANSWER: %ee;-

+n" +$ n < 3d8" > 41 !n < 4$88" > 41 8n < 8

8" > 8 8n)# > 8n !+i:i+e bot si+es by 8$n " %ee;-

REFERENCE: Cone-tual Mat Beyon+ 4"AUT&OR: Lo-e, Reio!AGE: 1#



6/6



QUESTION:To n+ te eigt o0 a -ole, a su:eyo /o:es )" 0eet a5ay 0o/ te base o0 te-ole an+ /easues te angle o0 ele:ation to te to- o0 te -ole to be '";. @at is te eigt o0te -ole7

ANSWER:503

3feet

tan 30= x

50

33=

x

50

3x=503 Di:i+e bot si+es by '$

x=503

3

REFERENCE: Cone-tual Mat Beyon+ &AUT&OR: Benal, Lo-e!AGE: '''


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