Answer:
Step-by-step explanation:
2g + h = 2 --------------(I)
g - h = -5------------(II)
g = -5 + h
Plugin g = -5 + h in equation (I)
2(-5 + h) + h = 2 {Distributive property:a(b+c) = a*b +a*c}
(-5)*2 + h *2 + h= 2
-10 + 2h + h = 2
3h = 2 + 10
3h = 12
h = 12/3
h = 4
Substitute h= 6 in equation (I)
2g + 4 = 2
2g = 2 - 4
2g = -2
g = -2/2
g = -1
Answer:
f(x) = sec x. tan x
⇔ f(x) = 1/cosx . cosx/sinx
⇔ f(x) = sin x
+) when f(x) is increasing => sin x increases
=> x will increase
+) f(x) is decreasing => x will decrease
+) f(x) is concave up => x ∈ (-pi/2; 0)
+) f(x) concave down => x ∈ (0; pi/2)
Step-by-step explanation:
Answer:
6:10pm
Step-by-step explanation:
At 6:00 the hands are 180° apart.
The hour hand moves 1/12 of circle per hour = 30° per hour = 0.5° per minute.
The minute hand moves 1/60 of the circle per minute = 6° per minute
Angle between the hands decreases by 6-0.5 = 5.5° per minute.
180 - 5.5t = 125
t = 125/5.5 = 10 minutes
The hands are 125° apart at t minutes after 6:00, or 6:10.
Juan Ramirez made $185.00
For the first 10 suits he made $12.50 each suit, then he made $20 for the additional 3.
250*.05=12.50
250*.08=20
12.50*10=125
3*20=60
125+60=185.
Since 57x17=969 I did 969-942 and got 27 so there is 16 full rows and then 27 left over so that means it won’t be a full row but 27 extra seats will be filled. (If your wondering where the 17 came from that’s how many rows can be made that’s over 942 because if I did 57x16 it would equal 912 and I would not have had a full row of chairs)
