Answer:
t = 3 arc cos(h/7)/π
Step-by-step explanation:
The equation h=7cos(pi/3 t) models the (h) height in centimeters after (t) seconds of a weight attached to the end of a spring that has been stretched and released. To solve the equation for t we will solve the equation step by step:
h=7cos(pi/3 t)
Step 1)
Divide both sides by 7
h/7 = 7cos(pi/3 t)/7
Now the equation becomes h/7=cos(pi/3 t)
Step 2)
h/7=cos(pi/3 t)
Now apply inverse cosine function:
arc cos (h/7) = pi/3 t
Step 3)
t = 3 arc cos(h/7)/pi
Thus t = 3 arc cos(h/7)/pi ....
Answer:
sec theta = (sqrt24/5) cos theta = -2/5 tan theta = (-[sqrt 21]/2) sec theta = 5/2 csc theta = (5sqrt21)/21 cot theta = (-2sqrt21)/21
Step-by-step explanation:
During the problem, secx = -5/2, we can assume that as cos = -2/5. -2 = x. 5 = r. find for Y with: x^2+y^2=r^2. After that, plug in for the variables and you get all the answers. Rationalize the square roots, don't forget.
Answer:
2 ^ 15
Step-by-step explanation:
2 ^9 * 2 ^ 2 * 2 ^ 4
When we multiply numbers with the same base, we can add the exponents
a^ b * a^ c = a^(b+c)
2 ^9 * 2 ^ 2 * 2 ^ 4
2 ^ ( 9+2+4)
2 ^ 15
Add 5 to 19 which is 24 then divide it by -6 and it’s x= -4
H x r = T The number of hours Sean works is represented by (h), Sean gets paid (r) per hour. By multiplying the number of hours worked by the rate per hour you get the total amount Sean gets paid (T)
