Answer:
option (d) 17.7%
Step-by-step explanation:
Data provided in the question:
Mass of the ore of copper extracted from the backyard = 65.0 grams
Mass of the copper extracted from the ore of copper = 11.5 grams
Now,
The mass percent of copper discovered
= [ ( Mass of the copper extracted ) ÷ ( Mass of the copper ore extracted ) ] × 100%
= [ 11.5 grams ÷ 65.0 grams ] × 100%
= 17.692% ≈ 17.7%
Hence,
the answer is option (d) 17.7%
Answer:
All real numbers except x=-7
Step-by-step explanation:
Since
is a discontinuity in the rational function, this makes the denominator equal to 0.
Answer:1.2
Step-by-step explanation:
Answer:
Step-by-step explanation:
The width = x
The length of the garden is three times the width => the length = 3x
The diagonal distance is five yards longer than the width=> the width=x+5
pythagorean theorem:
![(x+5)^{2} = 3x^{2} +x^{2} \\=> x +5 = \sqrt{( 3x)^{2} +x^{2}} \\=> x+5= \sqrt{10x^{2} } \\=>x+5= \sqrt{10} x\\=> \sqrt{10} x - x=5\\=> x= \frac{5+5\sqrt{10} }{9} (yd)\\\\ the diagonal = x+5 = \frac{5+5\sqrt{10} }{9} +5= \frac{50+5\sqrt{10} }{9} (yd)](https://tex.z-dn.net/?f=%28x%2B5%29%5E%7B2%7D%20%3D%203x%5E%7B2%7D%20%2Bx%5E%7B2%7D%20%5C%5C%3D%3E%20x%20%2B5%20%3D%20%5Csqrt%7B%28%203x%29%5E%7B2%7D%20%2Bx%5E%7B2%7D%7D%20%5C%5C%3D%3E%20x%2B5%3D%20%5Csqrt%7B10x%5E%7B2%7D%20%7D%20%5C%5C%3D%3Ex%2B5%3D%20%5Csqrt%7B10%7D%20x%5C%5C%3D%3E%20%5Csqrt%7B10%7D%20x%20-%20x%3D5%5C%5C%3D%3E%20x%3D%20%5Cfrac%7B5%2B5%5Csqrt%7B10%7D%20%7D%7B9%7D%20%28yd%29%5C%5C%5C%5C%20the%20%20diagonal%20%3D%20x%2B5%20%3D%20%5Cfrac%7B5%2B5%5Csqrt%7B10%7D%20%7D%7B9%7D%20%2B5%3D%20%5Cfrac%7B50%2B5%5Csqrt%7B10%7D%20%7D%7B9%7D%20%28yd%29)
My English is not too good but I hope you will understand.