Answer:
7.1 cm
Step-by-step explanation:
Let s represent the side length of the square. The Pythagorean theorem tells you the relationship to the diagonal length is ...
(10 cm)² = s² +s² . . . . the sum of the squares of the legs is the square of the hypotenuse
100 cm² = 2s² . . . . . . simplify
50 cm² = s² . . . . . . . . divide by 2
√(50) cm = s ≈ 7.1 cm . . . . . take the square root
The length of a side of the square to the nearest tenth is 7.1 cm.
Since it is isosceles right triangle, both legs = 5 inches.
using pythagoras theorem,
hypotenuse^2 = 5^2 +5^2 = 25+25 = 50
taking square root on both sides,
hypotenuse = sqrt 50 = 5 sqrt 2 or 7.071
rounded to nearest tenth,
length of hypotenuse is 7.1 inches.
Answer:
Step-by-step explanation:
Plug into distance formula:
Points: (5, -2), (3, -4)
sqrt( ((x2 - x1)^2) + ((y2 - y1)^2))
sqrt( ((3 - 5)^2) + ((-4 + 2)^2))
sqrt( 4 + 4)
sqrt8 ≈ 2.8 OR
sqrt8 = 2√2
If it is the most common isotope and of Carbon and it is not an ion, you can conclude that it has 6 protons and 6 electrons.
The equation for a circle is (x-h)^2 +(y-k)^2=r^2
You just have to plug in your coordinates h is the x and k is the y.
The r is radius squared.
so, (x-2)^2+(y-(-5)^2=144
You have to be careful of those tricky negative values. When you distribute the y-(-5) it turns into y+5.
So your answer is D.
