-simple Sums

Mathematics

1 answer:

BARSIC [14]3 years ago

6 0

9514 1404 393

Answer:

6×50 +8 -7 = 301

(6 -2)(50 +25) +8 -7 = 301

50×7 -25 -8×6/2 = 301

Step-by-step explanation:

We have chosen to use 301 = 300 + 1 a couple of different ways, and 301 = 350 -49. We couldn't see a way to take advantage of the factoring 301 = 43×7.

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$cos(45)=\frac{\frac{7\sqrt{2} }{2} }{x} \\\\cos(45)x=\frac{7\sqrt{2} }{2}\\\\\frac{\sqrt{2} }{2}x=\frac{7\sqrt{2} }{2}\\\\x=\frac{\frac{7\sqrt{2} }{2}}{\frac{\sqrt{2} }{2}} =\frac{7\sqrt{2} }{2}*\frac{2}{\sqrt{2}} =7$

Use the Pythagorean Theorem to find y

$y^{2} +(\frac{7\sqrt{2} }{2} )^{2} =x^{2} \\\\y^{2} =7^{2}-(\frac{7\sqrt{2} }{2} )^{2} \\\\y^{2}=49-\frac{49(2)}{4} =49-\frac{49}{2}=\frac{49(2)}{2}-\frac{49}{2}=\frac{98-49}{2}=\frac{49}{2} \\\\y=\sqrt{\frac{49}{2} } =\frac{7}{\sqrt{2} } =\frac{7\sqrt{2}}{\sqrt{2}(\sqrt{2})} =\frac{7\sqrt{2}}{2}$