46 follows 45 and 46 is preceded with 47
Answer:
B
Step-by-step explanation:
Rachel bought a collection of buttons.
2/4 of the buttons are yellow. 2/4 * 8 = 1/2 * 8 = 4 yellow buttons
2/8 of the buttons are red. 2/8 * 8 = 1/4 * 8 = 2 red buttons
Therefore, because we know that 4 of the buttons are yellow and 2 of the buttons are red, and we know that 4 > 2, we know that more yellow buttons were bought.
Answer:

Step-by-step explanation:
If AB = 5 , then AE = 5 [Radii of the same circle]
So,
AC = AE + EC
AC = 8+5
AC = 13 units
Now, Using Pythagorean theorem to find the missing side i.e. BD because tangent strikes the circle at 90 degrees making the triangle a right angled triangle

Where c = AC , a = BD and b = AB

169 = BD² + 25
Subtracting 25 to both sides
169 - 25 = BD²
BD² = 144
Taking square root on both sides
BD = 12 units
Answer:
Step-by-step explanation:
(x + y)² = x² + 2xy + y²
(a² + b²)² = (a²)² + 2*a²*b² + (b²)² {x = a² ; y = b²}
= a⁴ +2a²b² + b⁴