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MariettaO [177]
2 years ago
8

I need to find x in #9 and w in #10

Mathematics
1 answer:
elena-s [515]2 years ago
6 0

Step-by-step explanation:

9. 131+106+67+x=360

237+67+x=360

304+x=360

x=56

10. 90+90+146+w=360

180+146+w=360

326+w=360

w=34

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\\\text{we need to calculate the height of two different side walls}\ h_1\ \text{and}\ h_2\\\text{use the Pythagorean theorem:}\\\\h_1^2=\left(\dfrac{l}{2}\right)^2+h^2\to h_1=\sqrt{\left(\dfrac{l}{2}\right)^2+h^2}=\sqrt{\dfrac{l^2}{4}+h^2}=\sqrt{\dfrac{l^2}{4}+\dfrac{4h^2}{4}}\\\\h_1=\sqrt{\dfrac{l^2+4h^2}{4}}=\dfrac{\sqrt{l^2+4h^2}}{\sqrt4}=\dfrac{\sqrt{l^2+4h^2}}{2}

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So, he needs 3.75 lbs of sugar and 5 - 3.75 = 1.25 lbs of water.

7 0
3 years ago
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