Use a pencil and construct and angle of 165° at point X

Haya, tutasuluhisha maswali haya. 16. In preparation for wedding, a sister was told to buy a roll of carpet of area of 15.0 m^2 which was used to cover a priest's table measuring 22.5 m by 1.5 m. The carpet cost shs. 35500 each roll. How much was spent for the carpet? Step 1: Hesabu eneo la meza. Eneo la meza = Urefu × Upana Eneo la meza = 22.5 m × 1.5 m = 33.75 m^2 Step 2: Hesabu idadi ya roli za zulia zinazohitajika. Idadi ya roli = Eneo la meza / Eneo la roli moja Idadi ya roli = 33.75 m^215.0 m^2 = 2.25 roli Kwa kuwa huwezi kununua sehemu ya roli, tunahitaji kuzungusha juu hadi nambari kamili inayofuata. Hivyo, roli 3 zinahitajika. Step 3: Hesabu gharama yote ya zulia. Gharama yote = Idadi ya roli × Gharama kwa kila roli Gharama yote = 3 × shs. 35500 = shs. 106500 Jibu la mwisho ni: shs. 106500 17. 10 nurses can treat patients in 6 days when working at the same of 3 hours per day. If two nurses leave after 4 days and balance of nurses elevated their working speed to 5 hours per day. Find how many days it will take the remaining nurse to complete the task. Step 1: Hesabu jumla ya kazi inayohitajika (kwa "nurse-hours"). Jumla ya kazi = Idadi ya wauguzi × Siku × Saa kwa siku Jumla ya kazi = 10 wauguzi × 6 siku × 3 saa/siku = 180 nurse-hours Step 2: Hesabu kazi iliyofanywa katika siku 4 za kwanza. Kazi iliyofanywa = Idadi ya wauguzi × Siku zilizofanya kazi × Saa kwa siku Kazi iliyofanywa = 10 wauguzi × 4 siku × 3 saa/siku = 120 nurse-hours Step 3: Hesabu kazi iliyobaki. Kazi iliyobaki = Jumla ya kazi - Kazi iliyofanywa Kazi iliyobaki = 180 nurse-hours - 120 nurse-hours = 60 nurse-hours Step 4: Tambua idadi mpya ya wauguzi na saa zao mpya za kazi. Idadi mpya ya wauguzi = 10 - 2 = 8 wauguzi Saa mpya kwa siku = 5 saa/siku Step 5: Hesabu siku zinazohitajika kwa wauguzi waliobaki kukamilisha kazi iliyobaki. Siku zinazohitajika = Kazi iliyobaki / (Idadi mpya ya wauguzi × Saa mpya kwa siku) Siku zinazohitajika = 60 nurse-hours8 wauguzi × 5 saa/siku = (60)/(40) siku = 1.5 siku Jibu la mwisho ni: 1.5 siku 18. Use a pencil and construct and angle of 165^ at point X. Huwezi kuonyesha ujenzi halisi hapa, lakini hizi ni hatua za kuunda pembe ya 165^ kwa kutumia penseli, dira na rula: Step 1: Chora mstari ulionyooka (sema AB) na uweke alama X juu yake. Mstari huu unawakilisha pembe ya 180^. Step 2: Kwa kutumia dira na X kama kituo, chora upinde mkubwa unaovuka mstari AB (sema kwenye pointi C upande wa kulia wa X). Step 3: Kwa kutumia C kama kituo na radius sawa, chora upinde unaovuka upinde wa kwanza (sema kwenye pointi D). Hii inaunda pembe ya 60^ (angle DXC). Step 4: Kwa kutumia D kama kituo na radius sawa, chora upinde mwingine unaovuka upinde wa kwanza (sema kwenye pointi E). Hii inaunda pembe ya 120^ (angle EXC). Step 5: Gawanya pembe kati ya 120^ na 180^ (yaani, pembe EXB) ili kupata 150^. Weka ncha ya dira kwenye E na kisha kwenye B, chora pinde zinazokutana. Chora mstari kutoka X kupitia makutano haya (sema F). Mstari XF unaunda pembe ya 150^ na XC. Step 6: Gawanya pembe kati ya 150^ na 180^ (yaani, pembe FXB). Weka ncha ya dira kwenye F na kisha kwenye B, chora pinde zinazokutana. Chora mstari kutoka X kupitia makutano haya (sema G). Mstari XG unaunda pembe ya 165^ na XC. Jibu la mwisho ni: Pembe ya 165^ imejengwa kufuatia hatua zilizotajwa. That's 2 down. 3 left today — send the next one.