If cos θ = (-5/13), then θ should be in quadrant II or III. The given says sin θ < 0, so θ should be in quadrant III. In this case, tan <span>θ should be equal to number greater than zero. Hence we get sqrt of (13^2 - 5^2 ) equal to 12. tan </span><span> θ should be equal to A 12/5. </span>
Answer:
7/12
Step-by-step explanation:
You can pretend the given ratio units are the actual weights. Then the desired ratio is ...
book : mug = 7 : 5
book : (book +mug) = 7 : (7 +5) = 7 : 12
The weight of the book is 7/12 of the total weight.
7/8 = 0.875
0.875 x 0.875 = 0.765625
Answer:
They will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 3 times the second equation of System A.
Step-by-step explanation:
System A
2x + y = 5 --> (1)
−4x + 6y = −2 --> (2)
(1) + 3×(2)
-10x + 19y = -1
System B
−10x + 19y = −1 --> (1)
-4x + 6y = −2 --> (2)
Given that a hyena runs 2 kilometers for every 25 kilometer a mouse runs.
Now we need to select from the drop-down menu to correctly complete the statement. Where given statement is "The hyena runs kilometers for every kilometer the mouse runs."
"every kilometer" indicates we need to find number of kilometers for hyena when mouse runs 1 kilometer.
To find that we will divide number of kilometers of hyena by number of kilometers of mouse that is divide 2 by 25.
2/25=0.08
Hence final answer will be :
"The hyena runs 0.08 kilometers for every kilometer the mouse runs."