Answer:
The values of sin θ and cos θ represent the legs of a right triangle with a hypotenuse of 1; therefore, solving for cos θ finds the unknown leg, and then all other trigonometric values can be found.
Answer:
The pebble will hit the ground 8.29 second after it is thrown.
Step-by-step explanation:
Given that,
The height of the pebble after t seconds is given by the equation
h= -16t²+24 t+900.
When the pebble hit the ground, the height of the pebble will be zero.
So putting h=0 in the given equation.
0 = -16t²+24 t+900
⇒-4(4t²-6t-225)=0
⇒4t²-6t-225=0
Applying quadratic formula
, here a=4, b= -6 and c= -225.

⇒ t = 8.29, -6.79
Since time can not negative.
∴t=8.29 seconds.
The pebble will hit the ground 8.29 second after it is thrown.
<h3>
Answer: Choice A which is (m+6)^2</h3>
Explanation:
Think of two numbers that multiply to 36 and add to 12. Those two numbers are 6 and 6
6+6 = 12
6*6 = 36
So we can factor it into (m+6)(m+6). Use the FOIL rule to expand it out to get m^2+12m+36 back again.
The expression (m+6)(m+6) is the same as (m+6)^2