Answer:
3y
Step-by-step explanation:
The missing term is 3y since the following like terms combine:
These terms are the same as the sum listed except -18y.
What must be added to -18y +____=-15y.
-18y+_3y__ =-15y
3y is the solution.
Answer:
2625 kJ
Step-by-step explanation:
We assume the energy is proportional to the volume:
energy/volume = 1050 kJ/(500 mL) = E/(1250 mL)
Multiply by 1250 mL:
E = (1250/500)(1050 kJ) = 2625 kJ
The number of kJ in 1.25 L of Lemon Squash is 2625 kJ.
The value of x is 5 since 5^2=25+2=27/3=9
Answer:
W = 73°
X = 81°
Y = 26°
Step-by-step explanation:
We can let W, X, Y represent the measures of the corresponding angles. The problem statement gives us the relations ...
W = 3Y -5
X = W +8
Of course, the sum of angles in a triangle is 180°, so we have ...
W +X +Y = 180
W +(W +8) +Y = 180 . . . . . substitute for x
2W +Y = 172 . . . . . . . . . subtract 8, collect terms
2(3Y -5) +Y = 172 . . . substitute for W
7Y = 182 . . . . . . . . add 10, collect terms
Y = 26 . . . . . . . . divide by 7
W = 3(26) -5 = 73
X = 73 +8 = 81
The angle measures are (W, X, Y) = (73°, 81°, 26°).
as far as I can make it, the vectors will be like the ones in the picture below, where the green one is the motorboat and the current is in red, and their sum will be the gray one.
since the boat is going 6 m/s in 1 second the motorboat has a magnitude of 6, and since it's due East, is just a horizontal line with an angle of 0°.
the current is due North, therefore has an angle of 90° and since the current is going 3 m/s, so in 1 second it has a magnitude of 3.

so, that will be the angle of the resultant vector, now, we know the river is 100 meters wide, so we can use cosine of θ to get the length and therefore the magnitude of the resultant vector. Keeping in mind that the angle of elevation θ is about 26.57° and that the adjacent side is 100.
