Answer: A
Step-by-step explanation:
So we really just want to find when y=-3.
We can see this is at x=5, meaning our answer is A.
Answer:
x=-7
Step-by-step explanation:
The sum of the angles of a triangle are 180 degrees
40 + x+57 + 90 =180
Combine like terms
187 +x = 180
Subtract 187 from each side
187-187 +x = 180-187
x = -7
The answer to this is 4/3
Answer:
The smallest angle is 32 degrees
Step-by-step explanation:
The given parameters show that the triangle is a right angled triangle;
Let the two other angles be represented by x and y;
Since the angle between side 5 cm and side 8 cm is 90, we can represent any of this sides as the opposite and as the adjacent;
Scenario 1 (Calculating x)
Let opposite = 5 cm
Let adjacent = 8 cm
In trigonometry, The relationship between opposite and adjacent is Tangent;



Take arctan of both sides


(Approximated)
Scenario 2 (Calculating y)
Let opposite = 8 cm
Let adjacent = 5 cm
In trigonometry, The relationship between opposite and adjacent is Tangent;



Take arctan of both sides


(Approximated)
<em>By comparing the angles, the smallest angle is 32 degrees</em>
So first you would divide 3,600 by 420. You should get the answer of 8. Then multiply 8 by 12 to get the total number of gallon needed, which is 96 gallons.