Answer:
Simplify the numerator with the sine expression by taking A = B = x and simplify the denominator using A = x and B = 2x. The resulting denominator will have sin (2x) and cos (2x) which you can write in terms of sin (x) and cos (x) using the expressions above.
Step-by-step explanation:
Answer:
x=12
Step-by-step explanation:
32=2(4+x)
distribute 2.
32=8+2x
subtract 8 from both sides.
32=8+2x
-8 -8
24=2x
divide by 2 on both sides
24/2=2x/2
12=x
Just divide 300 by 450, to get 0.66667, which can be expressed as a fraction by 2/3
Answer:
The constant of proportionality is 1.89
Step-by-step explanation:
2 pounds = $3.78
1 pound = $3.78/2 = $1.89
Cost y is directly proportional to the pound of potato
y = 1.89x
The constant of proportionality is the cost of 1 pound of potato, and it is 1.89
Answer:
16 seconds (Approximately)
Step-by-step explanation:
Given:
The function that gives the distance of snowboarder from the bottom of hill with time 'x' is:
Final position of the snowboarder is 
Now, plugging in 100 for 'd' and solving for 'x', we get:
Adding -1100 both sides, we get:
Dividing both sides by -4, we get:
Taking square root and neglecting the negative root as time can't be negative. So,
Therefore, after 16 seconds, the snowboarder will be at a distance of 100 ft from bottom of hill.
