Answer:
372 feet per second
Step-by-step explanation:
310 / 10 = 31 feet per second. 12 seconds * 31 feet per second = 372 feet per second
Answer:

Step-by-step explanation:
Given

Required
Use the expression to prove a trigonometry identity
The given expression is not complete until it is written as:

Going by the Pythagoras theorem, we can assume the following.
- a = Opposite
- b = Adjacent
- r = Hypothenuse
So, we have:


Having said that:
The expression can be further simplified as:

Substitute values for sin and cos
becomes

They all have to have common denominators
The common denominator is 32
3/4= multiply by 8/8= 23/32
3/16= multiply by 2/2= 6/32
11/32. Is. 11/32
1/8 multiply by 4/4 =. 4/32
Smallest to greatest is 1/8. 3/16. 11/32. 3/4
Answer:
○ 
Step-by-step explanation:
![\displaystyle 4 = 2\sqrt{25} - 6 \\ 4 = 2[5] - 6 \\ \\ 4 = 10 - 6](https://tex.z-dn.net/?f=%5Cdisplaystyle%204%20%3D%202%5Csqrt%7B25%7D%20-%206%20%5C%5C%204%20%3D%202%5B5%5D%20-%206%20%5C%5C%20%5C%5C%204%20%3D%2010%20-%206)
I am joyous to assist you at any time.
Answer:
Hence the function which has the smallest minimum is: h(x)
Step-by-step explanation:
We are given function f(x) as:
- f(x) = −4 sin(x − 0.5) + 11
We know that the minimum value attained by the sine function is -1 and the maximum value attained by sine function is 1.
so the function f(x) receives the minimum value when sine function attains the maximum value since the term of sine function is subtracted.
Hence, the minimum value of f(x) is: 11-4=7 ( when sine function is equal to 1)
- Also we are given a table of values for function h(x) as:
x y
−2 14
−1 9
0 6
1 5
2 6
3 9
4 14
Hence, the minimum value attained by h(x) is 5. ( when x=1)
- Also we are given function g(x) ; a quadratic function passing through (2,7),(3,6) and (4,7)
so, the equation will be:
Hence on putting these coordinates we will get:
a=1,b=3 and c=7.
Hence the function g(x) is given as:

So,the minimum value attained by g(x) could be seen from the graph is at the point (3,6).
Hence, the minimum value attained by g(x) is 6.
Hence the function which has the smallest minimum is h(x)