468/18 = 26
Therefore they need at least 26 boxes to hold all the golf balls.
Hope this helps :)
Answer:
8.2 units
Step-by-step explanation:
Given that the only information for our triangle are 2 sides and 1 angle, we must use the Law of Cosines to find side BC
<u />
<u>Recall the Law of Cosines</u>
<u />![a^2=b^2+c^2-2bc\cdot cos(A)](https://tex.z-dn.net/?f=a%5E2%3Db%5E2%2Bc%5E2-2bc%5Ccdot%20cos%28A%29)
<u>Identify angles and sides</u>
<u />![m\angle A=23^\circ\\a=BC=?\\b=AC=14\\c=AB=6](https://tex.z-dn.net/?f=m%5Cangle%20A%3D23%5E%5Ccirc%5C%5Ca%3DBC%3D%3F%5C%5Cb%3DAC%3D14%5C%5Cc%3DAB%3D6)
<u>Solve for side "a"</u>
<u />![a^2=b^2+c^2-2bc\cdot cos(A)\\\\a^2=14^2+6^2-2(14)(6)\cdot cos(23^\circ)\\\\a^2=196+36-168cos(23^\circ)\\\\a^2=222-168cos(23^\circ)\\\\a=\sqrt{222-168cos(23^\circ)}\\ \\a\approx8.2](https://tex.z-dn.net/?f=a%5E2%3Db%5E2%2Bc%5E2-2bc%5Ccdot%20cos%28A%29%5C%5C%5C%5Ca%5E2%3D14%5E2%2B6%5E2-2%2814%29%286%29%5Ccdot%20cos%2823%5E%5Ccirc%29%5C%5C%5C%5Ca%5E2%3D196%2B36-168cos%2823%5E%5Ccirc%29%5C%5C%5C%5Ca%5E2%3D222-168cos%2823%5E%5Ccirc%29%5C%5C%5C%5Ca%3D%5Csqrt%7B222-168cos%2823%5E%5Ccirc%29%7D%5C%5C%20%5C%5Ca%5Capprox8.2)
Therefore, the length of line segment BC is about 8.2 units
A. Negative ♡
Im pretty sure about this
Answer:
i) True
ii) True
Step-by-step explanation:
<u>Given :-</u>
Point (-1, 2)
<u>To Find :</u>
Whether the point is a solution of :
- y = -2x
- y = x + 3
<u>Solving :-</u>
Substitute the value of the point in each of the equations.
=> y = -2x
=> 2 = -2(-1)
=> 2 = 2 [∴ The point makes it true]
=> y = x + 3
=> 2 = -1 + 3
=> 2 = 2 [∴ The point makes it true]
All real numbers above -4