Answer:
Approx. 6 b/m
Step-by-step explanation:
Find out How many minutes in a year which is 525600 then divide that by 3,000,000 which makes 5.7077 so rounded is 6.
I'm only going to alter the left hand side. The right side will stay the same the entire time
I'll use the identity tan(x) = sin(x)/cos(x) and cot(x) = cos(x)/sin(x)
I'll also use sin(x+y) = sin(x)cos(y)+cos(x)sin(y) and cos(x+y) = cos(x)cos(y)-sin(x)sin(y)
So with that in mind, this is how the steps would look:
tan(x+pi/2) = -cot x
sin(x+pi/2)/cos(x+pi/2) = -cot x
(sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)-sin(x)sin(pi/2)) = -cot x
(sin(x)*0+cos(x)*1)/(cos(x)*0-sin(x)*1) = -cot x
(0+cos(x))/(-sin(x)-0) = -cot x
(cos(x))/(-sin(x)) = -cot x
-cot x = -cot x
Identity is confirmed
Answer:
The length of the ladder is 9.2m
Step-by-step explanation:
Answer:
Taco supreme is 1230 calories
Pan pizza is 1310 calories
Step-by-step explanation:
Let's denote taco supreme as T and pan pizza az P. We have:
T+2*P = 3850 and 2*T + P = 3770
If we add the equations we get 3*T+3*P = 7620
3*(T+P) = 7620
T+P = 2540 => we can use T=2540-P
Back to one of the first equations we get 2540-P+2*P=3850
P=3850-2540= 1310
=>T= 2540-1310= 1230
Answer:
D: 25 miles
Step-by-step explanation:
Pythagorean Theorem:
36^2 + b^2 = 39^2
1,296 + b^2 = 1,521
b^2 = 225
b = 25
