https://peda.net/id/b96cef741fa 2019-01-24T08:38:56+02:00 https://peda.net/:static/535/peda.net.logo.bg.svg <div class="license">Tämän sivun lisenssi <a rel="license" href="https://peda.net/info">Peda.net-yleislisenssi</a></div> https://peda.net/id/c0ebeae81fa 2019-01-24T09:51:11+02:00 <p>a)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7B3%7B%2C%7D5cm%7D%7Bx%7D%3D%5Cfrac%7B5%7B%2C%7D0cm%7D%7B%5Csin40%C2%B0%7D" alt="\frac{3{,}5cm}{x}=\frac{5{,}0cm}{\sin40°}"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=3%7B%2C%7D5%5Csin40%C2%B0%3D5x" alt="3{,}5\sin40°=5x"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=5x%3D2%7B%2C%7D249...cm%5Cparallel%3A5" alt="5x=2{,}249...cm\parallel:5"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%3D0%7B%2C%7D4499...cm%5Capprox0%7B%2C%7D4cm" alt="x=0{,}4499...cm\approx0{,}4cm"/></p> <p>yksi ratkaisu<br/> b)<br/> <a href="https://peda.net/p/oskari.lahtinen/maa3p/2-3/255/sieppaa-png#top" title="Sieppaa.PNG"><img src="https://peda.net/p/oskari.lahtinen/maa3p/2-3/255/sieppaa-png:file/photo/4ad4869eb00160306655428126920e9087bbb11f/Sieppaa.PNG" alt="" title="Sieppaa.PNG" class="inline" loading="lazy"/></a><br/> ympyrällä on vain yksi leikkauspiste emt</p> 2019-01-24T09:50:44+02:00 https://peda.net/id/eb98c1361fa 2019-01-24T09:44:46+02:00 <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7B1350m%7D%7B%5Csin90%C2%B0%7D%3D%5Cfrac%7Bx%7D%7B%5Csin4%C2%B0%7D" alt="\frac{1350m}{\sin90°}=\frac{x}{\sin4°}"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%5Csin90%C2%B0%3D1350%5Csin4%C2%B0" alt="x\sin90°=1350\sin4°"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%5Csin90%C2%B0%3D94%7B%2C%7D171...%5Cparallel%3A%5Csin90%C2%B0" alt="x\sin90°=94{,}171...\parallel:\sin90°"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%3D94%7B%2C%7D171...%5Capprox94m" alt="x=94{,}171...\approx94m"/> 2019-01-24T09:44:46+02:00 https://peda.net/id/51c973521fa 2019-01-24T09:40:28+02:00 kolmio I<br/> <br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7B3%7B%2C%7D1cm%7D%7B%5Csin40%7B%2C%7D5%C2%B0%7D%3D%5Cfrac%7Bx%7D%7B%5Csin%5Cleft(180%C2%B0-40%7B%2C%7D5%C2%B0-32%7B%2C%7D8%C2%B0%5Cright)%7D" alt="\frac{3{,}1cm}{\sin40{,}5°}=\frac{x}{\sin\left(180°-40{,}5°-32{,}8°\right)}"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=3%7B%2C%7D1%5Csin106%7B%2C%7D7%C2%B0%3Dx%5Csin40%7B%2C%7D5" alt="3{,}1\sin106{,}7°=x\sin40{,}5"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%5Csin40%7B%2C%7D5%C2%B0%3D2%7B%2C%7D9692...%5C%20%5Cparallel%3A%5Csin40%7B%2C%7D5%C2%B0" alt="x\sin40{,}5°=2{,}9692...\ \parallel:\sin40{,}5°"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%3D4%7B%2C%7D5719...%5Capprox4%7B%2C%7D6cm" alt="x=4{,}5719...\approx4{,}6cm"/> 2019-01-24T09:40:28+02:00 https://peda.net/id/5205b3d41fa 2019-01-24T09:11:50+02:00 <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7B9%7D%7B%5Csin%5Calpha%7D%3D%5Cfrac%7B8%7D%7B%5Csin58%C2%B0%7D%5Cparallel%3A8" alt="\frac{9}{\sin\alpha}=\frac{8}{\sin58°}\parallel:8"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Csin%5Calpha%3D%5Cfrac%7B9%5Csin58%C2%B0%7D%7B8%7D%5Capprox0%7B%2C%7D9540...%5C%20%5Cparallel%3A%5Csin" alt="\sin\alpha=\frac{9\sin58°}{8}\approx0{,}9540...\ \parallel:\sin"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Calpha%5Capprox72%7B%2C%7D6%C2%B0%5C%20tai%5C%20%5Calpha%3D180%C2%B0-72%7B%2C%7D6%C2%B0%5Capprox107%7B%2C%7D4%C2%B0" alt="\alpha\approx72{,}6°\ tai\ \alpha=180°-72{,}6°\approx107{,}4°"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cbeta%3D180%C2%B0-58%C2%B0-72%7B%2C%7D6%C2%B0%3D49%7B%2C%7D4%C2%B0%5C%20tai%5C%20180%C2%B0-58%C2%B0-107%7B%2C%7D4%C2%B0%3D14%7B%2C%7D6%C2%B0" alt="\beta=180°-58°-72{,}6°=49{,}4°\ tai\ 180°-58°-107{,}4°=14{,}6°"/><br/> <br/> V: kulma a = 73 ja b = 49<br/> tai<br/> kulma a = 107 ja b = 15<br/> <br/> 2019-01-24T09:11:50+02:00