We know angle P is 90 degrees because of Thales Theorem, and angle N is 60 degrees. Because the angles in a triangle have to add up to 180 degrees, angle PMN has to be 30 degrees.
Angle QMO is half of angle PMN, so it's 15 degrees. Angle MQO is equal to angle QMO because the radii make Triangle OQM isosceles, so angle MQO is 15 degrees.
To convert this fraction to a decimal, just divide the numerator (5) by the denominator (8): 5 ÷ 8 = 0.625. So,
5/8 = 0.625
Rounded values:
<span><span>5/8 = 1 rounded to the nearest integer</span><span>5/8 = 0.6 rounded to 1 decimal place</span><span>5/8 = 0.63 rounded to 2 decimal places</span></span>
F(t)
= t2 + 4t − 14
y + 14 + 4 = (
t2 + 4t +4)
y + 18 = ( t +
2)^2
so the vertex
of the parabola is ( -2 , -18)
<span>the axis of
symmetry is y = -18</span>
Finance charge
(5,834.53−150)×(0.204÷12)=96.64
New balance
5,834.53−150+96.64+325
=6,106.17
Answer:
(i) = 3
(ii) = 20
Step-by-step explanation:
x = 1
y = -2
z = -1
(i) 4x - 3y + 7z
4(1) - 3(-2) + 7(-1)
4 + 6 - 7 = 3
(ii) 2x³ - 6y²z + 3xyz²
2(1)³ - 6(-2)²(-1) + 3(1)(-2)(-1)²
2 + 24 - 6 = 20