Probability =
(number of possible ways to succeed)
divided by
(total number of possible outcomes) .
Number of ways to succeed = 2 (pick the 'A' or the 'L')
Total number of possible outcomes = 5 (the cards on the table) .
Probability of success = 2/5 = 40% .
Answer: top right
Step-by-step explanation: in order to seperate p, we need to multiply each side by 6, as this will make the right side just p. Then, since we mutiplied by 6 on the right side, we multiply by 6 on the left side too, so we get 5.5*6
Answer:
Step-by-step explanation:
![\sqrt[3]{27x^{15}}y^{24} =](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B27x%5E%7B15%7D%7Dy%5E%7B24%7D%20%3D%20)
![= \sqrt[3]{3^3x^{15}}y^{24}](https://tex.z-dn.net/?f=%20%3D%20%5Csqrt%5B3%5D%7B3%5E3x%5E%7B15%7D%7Dy%5E%7B24%7D%20)
8x2+64x=0
16x+64x=0 ===> x=0
Answer:
261∠36° Newtons
Step-by-step explanation:
A straightforward way to find the resultant is to add the x- and y-components of the forces:
r = 300(cos(-30°), sin(-30°)) +180(cos(45°), sin(45°)) +250(cos(135°), sin(135°))
= (300√3/2 +180√2/2 -250√2/2, -300/2 +180√2/2 +250√2/2)
= (150√3 -35√2, -150 +215√2)
≈ (210.310, 154.056)
≈ 260.698∠36.22°
The resultant is approximately 261 Newtons at an angle of 36°.
_____
From components (x, y), the angle is found as arctan(y/x). The magnitude is found as √(x²+y²).
