Answer:
Option A is the correct answer.
Explanation:
Any vector can be resolved in to two components. Horizontal component and vertical component.
Consider a vector F which is at angle θ⁰ to the horizontal, we can resolve this vector in to two.
Horizontal component = F cos θ
Vertical component = F sin θ
Here we have Force , F = 50 pounds
Angle with horizontal = 80°
Horizontal component = F cos θ = 50* cos 80 = 8.68 pounds
≅ 9 lb.
Option A is the correct answer.
Answer:
We know that the equation of the circle in standard form is equal to <em>(x-h)² + (y-k)² = r²</em> where (h,k) is the center of the circle and r is the radius of the circle.
We have x² + y² + 8x + 22y + 37 = 0, let's get to the standard form :
1 - We first group terms with the same variable :
(x²+8x) + (y²+22y) + 37 = 0
2 - We then move the constant to the opposite side of the equation (don't forget to change the sign !)
(x²+8x) + (y²+22y) = - 37
3 - Do you recall the quadratic identities ? (a+b)² = a² + 2ab + b². Now that's what we are trying to find. We call this process <u><em>"completing the square"</em></u>.
x²+8x = (x²+8x + 4²) - 4² = (x+4)² - 4²
y²+22y = (y²+22y+11²)-11² = (y+11)²-11²
4 - We plug the new values inside our equation :
(x+4)² - 4² + (y+22)² - 11² = -37
(x+4)² + (y+22)² = -37+4²+11²
(x+4)²+(y+22)² = 100
5 - We re-write in standard form :
(x-(-4)²)² + (y - (-22))² = 10²
And now it is easy to identify h and k, h = -4 and k = - 22 and the radius r equal 10. You can now complete the sentence :)
Just divide 5/4 = 1.25. Thank you.
D. There are 9 blouse options and 8 skirt options. So, for each of the 9 blouses, there are 8 skirt options. Multiply 9x8, which equals 72
<span>Quarts to fluid ounces volume units conversion factors are listed below. To find out how many ounces in quarts, multiply by the right factor or instead, use the converter below if converting between US fluid measurements.</span>
