9514 1404 393
Answer:
Step-by-step explanation:
With a single application of the Law of Cosines, you can only find one of an unknown side or an unknown angle. The other three elements in the 4-variable equation must be specified.
However, a single application of the LoC can be used to find DE. Then, knowing the three sides, either of the unknown angles can be found from an additional application of the LoC.
So, the answer is "it depends." It is yes to all if finding DE first is allowed. It is "no" to the angles if they must be found without finding DE first.
F you just want to know what is the greatest common factor of 24 and 40<span>, it is </span>8.
<span>gcf (24,40) = </span><span><span><span><span>24×40</span><span>lcm(24,40)</span></span>=<span>960120</span></span><span><span><span>24×40</span><span>lcm(24,40)</span></span>=<span>960120</span></span></span><span>= 8</span>
Answer:
$110
Step-by-step explanation:
Let a, b, and c represent the earnings of Alan, Bob, and Charles. The problem statement tells us ...
a + b + c = 480 . . . . . . the combined total of their earnings
-a + b = 40 . . . . . . . . . . Bob earned 40 more than Alan
2a - c = 0 . . . . . . . . . . . Charles earned twice as much as Alan
Adding the first and third equations, we get ...
(a + b + c) + (2a - c) = (480) + (0)
3a + b = 480
Subtracting the second equation gives ...
(3a +b) - (-a +b) = (480) -(40)
4a = 440 . . . . . . . . simplify
a = 110 . . . . . . . . . . divide by the coefficient of a
Alan earned $110.
_____
<em>Check</em>
Bob earned $40 more, so $150. Charles earned twice as much, so $220.
The total is then $110 +150 +220 = $480 . . . . as required
Answer:
x = -20
Step-by-step explanation:
First we can rearrange the equation:
-18 = -28
2 * - 18 = -28 * 2
The 2s canel out
x - 36 = - 56
x = -20
Answer:
20 units
Step-by-step explanation:
We are given that
On a coordinate plane , rhombus ABCD in which point A is at (1,1) and point B is at (-2,-3), point C is at (-5,1) and D is at (-2,5).
We have to find the perimeter of rhombus ABCD.
Distance formula :
Using the distance formula
Side AB=
We know that sides of rhombus are equal
Therefore, AB=BC=CD=AD=5 units
Perimeter of rhombus=
Perimeter of rhombus=
Answer: 20 units
Read more on Brainly.com -
brainly.com/question/13829807#readmore
