Answer:
Step-by-step explanation:
Because it is a square root
If an employee has already measured out 59 pounds of wild rice. The number of pounds of long grain brown rice should she add to make the blend is: 88.5 pounds of long grain.
<h3>
Number of pounds of long grain</h3>
Let x represent number of pounds of long grain
6.45×59+3.95x=(59+x)×4.95
380.55+3.95x =292.05+4.95x
380.55–x =292.05
-x=292.05-380.55
-x = -88.5
x = 88.5 pounds of long grain
OR
6.45×59+3.95x=(59+x)×4.95
x=(6.45-4.95)×59
x=1.5×59
x=88.5 pounds of long grain
Therefore If an employee has already measured out 59 pounds of wild rice. The number of pounds of long grain brown rice should she add to make the blend is: 88.5 pounds of long grain.
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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 :)
Answer:
The answer is B. 9
Use cosine rule. In this case, I am using SOH and the right triangle:
sin 60°= a ÷ 6 root 3
(6 root 3)(sin 60°)= a
a=9
Step-by-step explanation:
