Answer:
x = 5 and y = 8.7
See attached image for working
Step-by-step explanation:
Since it's a right angle triangle you can use sin and cos.
Answer: Linda earns more interest
Step-by-step explanation:
Linda: 90000 x 1.06^3 -90000 = 17191.44
Bob: (90000 x 1.06 - 90000) x 3 = 16200
17191.44 > 16200
Answer:
-3y = 2x - 7
y = -2/3x - 7/3
Step-by-step explanation:
y cannot be negative nor a whole number.
To get y by itself you have to divide the -3 over to the other side.
Answer:
a. 11/5 pi; -9/5 pi
Step-by-step explanation:
Coterminal angles are those which have a common terminal side. For example 30° is coterminal with −330° and 390° (see figure).
From the example we can see that the following expressions must be fulfilled:
positive angle - reference angle = 360°
reference angle - negative angle = 360°
where positive angle is 390°, reference angle is 30° and negative angle is -330°. In this problem reference angle is pi/5. Also, we have to change 360° for its equivalent in radians, i. e., 2 pi. So,
positive angle - pi/5 = 2 pi
positive angle = 2 pi + pi/5
positive angle = 11/5 pi
pi/5 - negative angle = 2 pi
negative angle = pi/5 - 2 pi
negative angle = -9/5 pi
Answer:
Equilateral triangle will always have a perpendicular bisector that is also an angle bisector.
Step-by-step explanation:
Equilateral triangle property:
- All sides of the equilateral triangle are equal.
- Angle of every equilateral triangle are equal to 60°.
- Every altitude of an equilateral triangle is also a median and a bisector.
- Each median is also an altitude and a bisector.
- Each bisector is also an altitude and a median.
Therefore, by equilateral triangle property;
Perpendicular bisectors are angle bisectors in an equilateral triangle Since, all sides and angles are the same in an equilateral triangle.
Also, the angle bisector of an equilateral triangle forms 90 degree angle with the opposite side and bisects that side.
