Answer:
3.15 seconds is the answer.
<u>Explanation</u>
when the ball touches the ground, h =0
hence,
0=255-21t-16t²
16t²+21t-225=0
here a=16 ,b=21, c= -225
time cannot be negative, hence t = -4.46 can be avoided
The ball takes 3.15 seconds to hit the ground.
Answer:
2/5
Step-by-step explanation:
Answer/Step-by-step explanation:
a. The sides of ∆ABC can be labelled as follows, taking θ as the reference point.
Adjacent = side AB
Opposite = side BC
Hypotenuse = side AC
b. I. "<B is an acute angle" => FALSE. It is a right angle (90°)
II. "The side opposite to <C is BC" => FALSE. The side opposite to <C is AB.
III. The side adjacent to <A is AB => TRUE
IV. The side opposite to <B is not the longest. => FALSE. It is the hypotenuse and the longest side.
c. Cos θ = 
Tan θ = 
d. Sin C = 
Cos C = 
Tan C = 
1) 4 sqrt x^3 =====> 4x^3/2 =====> 4x sqrt x
Steps:
4 sqrt x^3
sqrt x^3
x^3/2
Answer ======> 4x^3/2 =====> 4x sqrt x
2): 1 / x^ -1 =====> x
Steps:
1 / x^ -1
Apply exponent rule:
a^ -1 = 1 / a
x^ - 1 = 1 / x
1 / 1 / x
Apply fraction rule:
1 / b / c = c / b
x / 1
Apply Rule:
a / 1 = a
Answer ========> x
3): 10 sqrt x^5 * x^4 * x^2 = 10^17/2 ====> 100000000 * 10.5 (Decimal: 316227766 ).
Steps:
10 sqrt x^5 * x^4 * x^2
Apply exponent rule:
a^b * a^c = a^b + c
x^4x^2 = x^4 + 2 = x^6
10x^6 sqrt x^5
sqrt x^5 = x^5/2
10x^6x^5/2
Apply exponent rule:
a^b * a^c = a^b + c
x^6x^5/2 = x^5/2 + 6 = x^17/2
Answer ====> 10x^17/2 ==> 100000000 * 10.5 (Decimal: 316227766 ).
4): x^1/3 * x^1/3 * x^1/3 = x^3 / 27 ======> x^1/9
Steps:
x^1/3 * x^1/3 * x^1/3
Apply rule:
a^1 = a
x^1 = x
x/3 * x/3 * x/3
Multiply fractions:
a/b * c/d = a/b * c/d
xxx / 3*3*3
Multiply numbers:
3*3*3 = 27
Answer =========> x^3 / 27 =======> x^1/9
Hope that helps!!!! : )
Divide 45 by 3 to get 15. It is at -15 miles relative to sea level after 1 minute.
Hope this helps :)
