Answer:
mFG = 67r ( Where r is the radius of the circle)
∠ECF = 67°
Step-by-step explanation:
i) m FG
Join CG
∠GCF=67°
(As FG=ED and equal chords subtend equal angle at center)
Now The length of the minor arc is given by the formula
m arc FG =
∠C=67
m arc FG = 
m arc FG = 67r
Where r is the radius of the circle.
2. ∠ECF = 67°
It is because of the rule which says that equal chords subtend equal angle at center
DE = EF
Hence ∠DCE = ∠ECF
Answer:
6
Step-by-step explanation:
y = x² - 6x + 11
Complete the square.
y = x² - 6x + 9 + 2
y = (x - 3)² + 2
a = 1, h = 3, k = 2
a + h + k = 6
Answer:
32/3
Step-by-step explanation:
Answer:
It will take 8 minutes for the temperature to reach 76°
Step-by-step explanation:
The expression for the total temperature in degrees at time t can be written as;
T=I+EM
where;
T=total temperature
I=initial temperature
E=temperature increase per minute
M=number of minutes
This can also be written as;
total temperature=initial temperature+temperature increase per minute×number of minutes
In our case;
T=76°
I=40°
E=4.5°
M=m
replacing;
76=40+(4.5×m)
4.5 m=76-40=36
(4.5 m)/4.5=36/4.5
m=8
It will take 8 minutes for the temperature to reach 76°
