Answer:
B. 66
Step-by-step explanation:
73+25 = 98
Z = 98-32
Z = 66
In this question, there are a few kinds of the coin with a different value. To answer this question, we need to know the total coin first. The total coin count should be: 10 +20 + 15 +5= 50 coin
In this case, the coin is taken twice, that means the denominator should be 50*49. But in this question, the probablity value is 6/49, so you need to convert it into 50*49 by multiplying the numerator with 50. The value should be:
6/49 *50/50= 300/49*50
The number 300 is multiplication of 20 and 15, that mean the answer should be: 1 dimes and 1 nickles
Answer:
17
Step-by-step explanation:
Using the law of cosines in ΔABC
b² = a² + c² - (2ac cosB) ← substitute in values
= 25² + 28² - (2 × 25 × 28 × cos36.9°)
= 625 + 784 - 1400 cos36.9°
= 1409 - 1400 cos36.9° ( Take the square root of both sides )
b =
≈ 17 ( nearest whole number )
Answer:
The answer for log(ab²) is x + 2y.
Step-by-step explanation:
You have to apply Logarithm Law,
![log(a) + log(b) \: ⇒ \: log(a \times b)](https://tex.z-dn.net/?f=%20log%28a%29%20%20%2B%20%20%20log%28b%29%20%5C%3A%20%20%E2%87%92%20%5C%3A%20%20log%28a%20%5Ctimes%20b%29%20)
![log( {a}^{n} ) \: ⇒ \: n log(a)](https://tex.z-dn.net/?f=%20log%28%20%7Ba%7D%5E%7Bn%7D%20%29%20%20%5C%3A%20%E2%87%92%20%5C%3A%20n%20log%28a%29%20)
In this question, you have to seperate it out :
![log(a {b}^{2} ) = log(a) + log( {b}^{2} )](https://tex.z-dn.net/?f=%20log%28a%20%7Bb%7D%5E%7B2%7D%20%29%20%20%3D%20%20log%28a%29%20%20%2B%20%20log%28%20%7Bb%7D%5E%7B2%7D%20%29%20)
![log( {b}^{2} ) = 2 log(b)](https://tex.z-dn.net/?f=%20log%28%20%7Bb%7D%5E%7B2%7D%20%29%20%20%3D%202%20log%28b%29%20)
![let \: log(a) = x](https://tex.z-dn.net/?f=let%20%5C%3A%20%20log%28a%29%20%20%3D%20x)
![let log(b) = y](https://tex.z-dn.net/?f=let%20log%28b%29%20%20%3D%20y)
![log(a {b}^{2} ) = log(a) + 2 log(b)](https://tex.z-dn.net/?f=%20log%28a%20%7Bb%7D%5E%7B2%7D%20%29%20%20%3D%20%20log%28a%29%20%20%2B%202%20log%28b%29%20)
![log(a {b}^{2} ) = x + 2y](https://tex.z-dn.net/?f=%20log%28a%20%7Bb%7D%5E%7B2%7D%20%29%20%20%3D%20x%20%2B%202y)
Answer:
Option B, 105 would be correct
Step-by-step explanation:
The Vertical Angles Theorem states that angles that are opposite diagonally are congruent, therefore; ? = 105°
Hope this helps!