https://peda.net/id/18879cd6302 2019-02-14T08:31:00+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/753291e2302 2019-02-14T09:52:20+02:00 a) on tasakylkinen, kaksi kulmaa ovat 85 astetta<br/> b) ei ole<br/> c) on tasakylkinen ja suorakulmainen, kaksi kulmaa ovat 45 astetta ja kolmas on 90 astetta 2019-02-14T09:52:20+02:00 https://peda.net/id/2718e25e302 2019-02-14T09:54:19+02:00 a) <img src="https://math-demo.abitti.fi/math.svg?latex=d%3D2r%3D2%5Ccdot4%7B%2C%7D0cm%3D8%7B%2C%7D0cm" alt="d=2r=2\cdot4{,}0cm=8{,}0cm"/><br/> b) <br/> <img src="https://math-demo.abitti.fi/math.svg?latex=V%3DAh" alt="V=Ah"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=V%3D%5Cpi%5Ccdot4%5E2%5Ccdot8" alt="V=\pi\cdot4^2\cdot8"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=V%3D128%5Cpi%5C%20cm%5C%20%5Capprox402.123...%5Capprox400cm%5E2" alt="V=128\pi\ cm\ \approx402.123...\approx400cm^2"/><br/> c)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Ctan%5Calpha%3D%5Cfrac%7B4%7D%7B8%7D%3D26%7B%2C%7D565...%C2%B0%5Capprox26%7B%2C%7D6%C2%B0" alt="\tan\alpha=\frac{4}{8}=26{,}565...°\approx26{,}6°"/> 2019-02-14T09:50:09+02:00 https://peda.net/id/a04a7bc0302 2019-02-14T09:46:23+02:00 a) <br/> <img src="https://math-demo.abitti.fi/math.svg?latex=75%5E2%2B18%5E2%3Dx%5E2" alt="75^2+18^2=x^2"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%5E2%3D5949" alt="x^2=5949"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%3D77%7B%2C%7D129...%5Capprox77%7B%2C%7D1cm" alt="x=77{,}129...\approx77{,}1cm"/><br/> b)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=85%5E2%2B22%5E2%3Dx%5E2" alt="85^2+22^2=x^2"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=7709%3Dx%5E2" alt="7709=x^2"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%3D87%7B%2C%7D8009...%5Capprox87%7B%2C%7D8cm" alt="x=87{,}8009...\approx87{,}8cm"/><br/> c)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=82%5E2%2B16%5E2%3Dx%5E2" alt="82^2+16^2=x^2"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%5E2%3D6980" alt="x^2=6980"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%3D83%7B%2C%7D546...%5Capprox83%7B%2C%7D5cm" alt="x=83{,}546...\approx83{,}5cm"/> 2019-02-14T09:46:23+02:00 https://peda.net/id/bf179134302 2019-02-14T09:32:56+02:00 a)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=pinta-alojen%5C%20suhde%5C%20on%5C%20mittakaavan%5C%20neli%C3%B6" alt="pinta-alojen\ suhde\ on\ mittakaavan\ neliö"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cleft(%5Cfrac%7B1%7D%7B1%7B%2C%7D2%7D%5Cright)%5E2%3D%5Cfrac%7B1%7D%7B1%7B%2C%7D44%7D" alt="\left(\frac{1}{1{,}2}\right)^2=\frac{1}{1{,}44}"/><br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=V%3A%5C%20monikulmion%5C%20pinta-ala%5C%20kasvaa%5C%2044%5C%25" alt="V:\ monikulmion\ pinta-ala\ kasvaa\ 44\%"/></div> <div><br/> b)</div> tilavuuksien suhde on mittakaavan kuutio<br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7B1%7D%7B2%7D%3D%5Cleft(%5Cfrac%7Bmittakaava%7D%7Bpidennetty%5C%20mittakaava%7D%5Cright)%5E3%5C%20%5Cparallel%5Csqrt%5B3%5D%7B%7D" alt="\frac{1}{2}=\left(\frac{mittakaava}{pidennetty\ mittakaava}\right)^3\ \parallel\sqrt[3]{}"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7B1%7D%7B%5Csqrt%5B3%5D%7B2%7D%7Dtai%5C%20%5Cfrac%7B1%7D%7B1%7B%2C%7D26%7D" alt="\frac{1}{\sqrt[3]{2}}tai\ \frac{1}{1{,}26}"/></div> <div>V: mittoja täytyy pidentää n. 1,26-kertaisiksi että tilavuus kaksinkertaistuu</div> 2019-02-14T09:32:56+02:00 https://peda.net/id/1f9b7626302 2019-02-14T09:21:19+02:00 a)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=A%3D%5Cfrac%7B1%7D%7B2%7Dab%5Csin109%C2%B0" alt="A=\frac{1}{2}ab\sin109°"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=A%3D%5Cfrac%7B1%7D%7B2%7D%5Ccdot4%7B%2C%7D6cm%5Ccdot7%7B%2C%7D8cm%5Ccdot%5Csin109%C2%B0" alt="A=\frac{1}{2}\cdot4{,}6cm\cdot7{,}8cm\cdot\sin109°"/><br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=A%3D16%7B%2C%7D962...cm%5E2%5Capprox17%7B%2C%7D0cm%5E2" alt="A=16{,}962...cm^2\approx17{,}0cm^2"/></div> <div>b) kolmiolla jonka sivujen välinen kulma on 109°:n suplementtikulma eli <img src="https://math-demo.abitti.fi/math.svg?latex=180%C2%B0-109%C2%B0%3D71%C2%B0" alt="180°-109°=71°"/></div> 2019-02-14T09:21:19+02:00 https://peda.net/id/7cfe88c2302 2019-02-14T09:16:46+02:00 a)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Ctan39%C2%B0%3D%5Cfrac%7Bx%7D%7B3%7B%2C%7D5cm%7D" alt="\tan39°=\frac{x}{3{,}5cm}"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%3D3%7B%2C%7D5%5Ctan39%C2%B0" alt="x=3{,}5\tan39°"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%3D2%7B%2C%7D834...cm%5Capprox2%7B%2C%7D8cm" alt="x=2{,}834...cm\approx2{,}8cm"/><br/> b)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=c%5E2%3Da%5E2%2Bb%5E2-2ab%5Ccos135%C2%B0" alt="c^2=a^2+b^2-2ab\cos135°"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%5E2%3D17%7B%2C%7D0%5E2%2B16%7B%2C%7D3%5E2-2%5Ccdot17%5Ccdot16%7B%2C%7D3%5Ccdot%5Ccos135" alt="x^2=17{,}0^2+16{,}3^2-2\cdot17\cdot16{,}3\cdot\cos135"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%5E2%3D946.568...%5C%20%5Cparallel%5Csqrt%7B%20%7D" alt="x^2=946.568...\ \parallel\sqrt{ }"/><br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=x%3D30%7B%2C%7D766...cm%5Capprox30%7B%2C%7D8cm" alt="x=30{,}766...cm\approx30{,}8cm"/></div> <div>c)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=a%5E2%2Bb%5E2%3Dc%5E2" alt="a^2+b^2=c^2"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=3%5E2%2Bx%5E2%3D6%5E2" alt="3^2+x^2=6^2"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=36-9%3Dx%5E2" alt="36-9=x^2"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=25%3Dx%5E2" alt="25=x^2"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%3D5" alt="x=5"/></div> 2019-02-14T09:16:46+02:00