Answer:
Lucas needs 12 cups of dried cherries and 24 cups of dried apricots to make one dozen of snacks for his team
Step-by-step explanation:
For each snacks Lucas uses one cup of dried cherries and 2 cup of dried apricots. One dozen of snack contains a total of 12 snacks. Therefore to prepare 12 snacks (one dozen) the number of dried cherries and dried apricots can be gotten by multiplying the number of dried cherries and dried apricots required for each snack by 12.
Number of dried cherries = 1 cup for each snack × 12 snacks = 12 cups
Number of dried apricots = 2 cup for each snack × 12 snacks = 24 cups
Lucas needs 12 cups of dried cherries and 24 cups of dried apricots to make one dozen of snacks for his team
HI, I drew & explained it below. I used the sine trig function to find the diagonal length and then used the pythagorean to find the missing length. Hope this helps :)
Answer:
<em>The absolute square of a complex number is calculated by multiplying it by its complex conjugate. This give the magnitude squared of the complex number. The absolute square is </em><em>A</em><em>l</em><em>w</em><em>a</em><em>y</em><em>s</em><em> </em><em>R</em><em>e</em><em>a</em><em>l</em><em>. We will use complex exponentials all the time.</em>
Answer:
5x - y = 10x + 3y = 4
5x - y = 4..... 1
10x + 3y = 4.....2
multiply by -2 in eq 1 in both sides
-10x + 2y = -8
10x +3y = 4
eliminate one variable by adding the equations
5y = -4
y = - 4/5
sub the value of y in..1
5x - y = 4
5x + 4/5 = 4
5x = 16/5
divide by 5 on both sides
x = 16/25
(x ; y)
(16/25 ; -4/5)
Answer:
it depends on what he means
Step-by-step explanation:
The friend needs to clarify the meaning of "if three lines intersect each other." If Line A intersects lines B and C, there will be two points of intersection, one at line B and one at line C.
If those lines are all in the same plane, and B and C are not parallel, so that line B intersects line C, then there will be a total of three points of intersection.
If the point of intersection of B and C is also the point where line A intersects them, then there will be only one point of intersection.
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So, if the meaning is "if there are three non-parallel lines in the same plane, and each intersects the other two", then the Line Intersection Postulate guarantees there will be 1 or 3 points of intersection.
If the meaning is "if there are three lines not necessarily in the same plane, and one intersects the other two (but those two don't intersect each other)", then there may be 1 or 2 points of intersection (allowing that all lines may intersect at the same point).
