The vertices of a triangle ABC are A (1,2),B(3,2), and C(3,5). (a) Plot triangle ABC on the Cartesian plane…

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The vertices of a triangle ABC are A (1,2),B(3,2), and C(3,5). (a) Plot triangle ABC on the Cartesian plane below. (Provide a grid for plotting)

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Hapa kuna suluhisho la maswali yako: 28. (Inaendelea kutoka swali lililopita) Ili kukokotoa ujazo na eneo la uso wa silinda, tunahitaji urefu wake. Kwa kuwa urefu haujatolewa katika swali, tutachukulia kuwa urefu (h) wa silinda ni 10 cm kwa madhumuni ya kuonyesha hesabu. Ikiwa urefu halisi ni tofauti, majibu yatabadilika ipasavyo. Kutoka sehemu (a), tunajua rediasi (r) = 7 cm na eneo la msingi (Abase) = 154 cm². Pia, π = 22/7. b) Step 1: Tumia formula ya ujazo wa silinda, V = π r² h. V = Abase × h Step 2: Badilisha thamani za eneo la msingi na urefu uliochukuliwa. V = 154 cm² × 10 cm Step 3: Kokotoa ujazo. V = 1540 cm³ Ujazo wa silinda ni 1540 cm³. c) Step 1: Tumia formula ya eneo la uso lililopinda la silinda, CSA = 2 π r h. Step 2: Badilisha thamani za rediasi, π, na urefu uliochukuliwa. CSA = 2 × 22/7 × 7 cm × 10 cm Step 3: Rahisisha hesabu. CSA = 2 × 22 × 10 cm²; CSA = 440 cm² Eneo la uso lililopinda la silinda ni 440 cm². d) Step 1: Tumia formula ya jumla ya eneo la uso wa silinda iliyofungwa, TSA = 2 π r h + 2 π r². Hii inaweza pia kuandikwa kama TSA = CSA + 2 × Abase. Step 2: Badilisha thamani za eneo la uso lililopinda na eneo la msingi. TSA = 440 cm² + 2 × 154 cm² Step 3: Kokotoa jumla ya eneo la uso. TSA = 440 cm² + 308 cm²; TSA = 748 cm² Jumla ya eneo la uso wa silinda iliyofungwa ni 748 cm². 29. a) Ili kuchora pembetatu ABC kwenye ndege ya Cartesian, fuata hatua hizi: Step 1: Panga nukta A(1,2). Anza kwenye asili (0,0), songa hatua 1 kulia kwenye mhimili wa x, kisha songa hatua 2 juu kwenye mhimili wa y. Weka alama hapo kama A. Step 2: Panga nukta B(3,2). Anza kwenye asili (0,0), songa hatua 3 kulia kwenye mhimili wa x, kisha songa hatua 2 juu kwenye mhimili wa y. Weka alama hapo kama B. Step 3: Panga nukta C(3,5). Anza kwenye asili (0,0), songa hatua 3 kulia kwenye mhimili wa x, kisha songa hatua 5 juu kwenye mhimili wa y. Weka alama hapo kama C. Step 4: Unganisha nukta A na B kwa mstari, B na C kwa mstari, na C na A kwa mstari ili kuunda pembetatu ABC.

The vertices of a triangle ABC are A (1,2),B(3,2), and C(3,5). (a) Plot triangle ABC on the Cartesian plane below. (Provide a grid for plotting)

Answers

Step-by-step solution

Part b· 3 steps

Tumia formula ya ujazo wa silinda, $V = \pi r^2 h$ .

Badilisha thamani za eneo la msingi na urefu uliochukuliwa.

Kokotoa ujazo.

Part c· 3 steps
$440 \text{ cm}^2$

Tumia formula ya eneo la uso lililopinda la silinda, $CSA = 2 \pi r h$ .

Badilisha thamani za rediasi, $\pi$ , na urefu uliochukuliwa.

Rahisisha hesabu.

Part d· 3 steps
$748 \text{ cm}^2$

Tumia formula ya jumla ya eneo la uso wa silinda iliyofungwa, $TSA = 2 \pi r h + 2 \pi r^2$ .

Badilisha thamani za eneo la uso lililopinda na eneo la msingi.

Kokotoa jumla ya eneo la uso.

Part a· 4 steps

Panga nukta A(1,2).

Panga nukta B(3,2).

Panga nukta C(3,5).

Unganisha nukta A na B kwa mstari, B na C kwa mstari, na C na A kwa mstari ili kuunda pembetatu ABC.

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The vertices of a triangle ABC are A (1,2),B(3,2), and C(3,5). (a) Plot triangle ABC on the Cartesian plane below. (Provide a grid for plotting)

Answers

Step-by-step solution

Part b· 3 steps

Tumia formula ya ujazo wa silinda, V=πr2hV = \pi r^2 hV=πr2h.

Badilisha thamani za eneo la msingi na urefu uliochukuliwa.

Kokotoa ujazo.

Part c· 3 steps440 cm2440 \text{ cm}^2440 cm2

Tumia formula ya eneo la uso lililopinda la silinda, CSA=2πrhCSA = 2 \pi r hCSA=2πrh.

Badilisha thamani za rediasi, π\piπ, na urefu uliochukuliwa.

Rahisisha hesabu.

Part d· 3 steps748 cm2748 \text{ cm}^2748 cm2

Tumia formula ya jumla ya eneo la uso wa silinda iliyofungwa, TSA=2πrh+2πr2TSA = 2 \pi r h + 2 \pi r^2TSA=2πrh+2πr2.

Badilisha thamani za eneo la uso lililopinda na eneo la msingi.

Kokotoa jumla ya eneo la uso.

Part a· 4 steps

Panga nukta A(1,2).

Panga nukta B(3,2).

Panga nukta C(3,5).

Unganisha nukta A na B kwa mstari, B na C kwa mstari, na C na A kwa mstari ili kuunda pembetatu ABC.

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Tumia formula ya ujazo wa silinda, $V = \pi r^2 h$ .

Part c· 3 steps
$440 \text{ cm}^2$

Tumia formula ya eneo la uso lililopinda la silinda, $CSA = 2 \pi r h$ .

Badilisha thamani za rediasi, $\pi$ , na urefu uliochukuliwa.

Part d· 3 steps
$748 \text{ cm}^2$

Tumia formula ya jumla ya eneo la uso wa silinda iliyofungwa, $TSA = 2 \pi r h + 2 \pi r^2$ .