Answer:
< 5, 3 >
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 270°
a point (x, y ) → (y, - x ), thus
< - 3, 5 > → < 5, 3 >
buy = 30 share at 20 1/4 each
sell = 30 share at 25 1/4
profit $5 share profit
total profit is 150$
Answer:
Step-by-step explanation:
The shape of that function is exponencial.
All expoencial functtion passed though the point (0,1).
In that case we have the point (4,16) in other words: (4,2⁴)
Answer:
x=55
Step-by-step explanation:
(2x+6)+(x+9)=3x+15
3x+15=180
3x=165
x=55
Answer:
Length of first leg = 1.4feet
Hypotenuse = 4.2feet
Explanation:
Since we are dealing with a right angled triangle, we will apply the Pythagoras theorem to solve the question. According to Pythagoras theorem, the square of the hypotenuse is equal to the sum if the square of the other two legs.
Mathematically, a² = b²+c² where a is the hypotenuse and b, c are the other two legs.
From the question, since hypotenuse of a right triangle is three times the length of its first leg, then a = 3b.
Also the other leg is four feet i.e c= 4
Substituting this values into the Pythagoras formula;
a²=b²+c²
(3b)² = b²+4²
9b² = b²+16
9b²-b² = 16
8b² = 16
b² = 16/8
b² = 2
b = √2
b = 1.4
Since a = 3b
a = 3(1.4)
a = 4.2
Hence, the length of the first leg is 1.4feet and that of the hypotenuse is 4.2feet both to the nearest tenth.