Answer:
2 sqrt(5) OR 4.5
Step-by-step explanation:
You have to know Pythagorean theorem to solve this question.
a^2 + b^2 = c^2
To use this theorem you have to have a right triangle. There are two right triangles in your image. The lower (larger) one has two sides labeled, so you can use Pythagorean thm to find the third side. There's a short cut, bc some right triangles have easy-to-memorize lengths of the sides. 3-4-5 is one of these number sets. A multiple of this is 6-8-10. We could've solved:
b^2 + 8^2 = 10^2
But it would've come out the same. The unlabeled side is 6.
We can use the 6 and the 4 on the smaller right triangle and use the Pythagorean thm again to solve for x.
4^2 + x^2 = 6^2
16 + x^2 = 36 subtract 16 from both sides.
x^2 = 20
Take the square root of both sides.
sqrt (x^2) = sqrt 20
x = 2 sqrt(5) which is approximately 4.472.
2 sqrt(5) is an exact answer if that is what they are asking for. 4.472 is an approximation to the nearest thousandth. It would be 4.47 to the nearest hundredth or 4.5 to the nearest tenth.
Step-by-step explanation:
x = number
3x - 15 = (x - 12)×-4 or (12-x)×-4
3x - 15 = -4x + 48 or -48 + 4x
7x = 63, x = 9 or
33 = x
The standard equation of circle when center is (h,k) and radius is 'r'
h = 2 and k = - 5, radius = 16
So equation of the circle is given by
Answer:
A = 2, B = 1, C = 5, D = 3, E = 4
Step-by-step explanation:
Variety of workings including
Opposite angles are equal
90 degrees on a right angle
180 degrees in a straight line
Answer:
the bottom one is 1 the second one is 46 and the top one is 500
Step-by-step explanation:
