Answer:
exact value: 
approximate: x=0.349485
Step-by-step explanation:
Exact Value:




Approximate:



The answer is 112 centimeters.
As this problem represents a right triangle, here we need to apply the Pythagorean Theorem.
- h = √113² - 15²
- h = √12769 - 225
- h = √12544
- h = 112 centimeters
Answer:
Step-by-step explanation:
Given that,
f(3) = 2
f'(3) = 5.
We want to estimate f(2.85)
The linear approximation of "f" at "a" is one way of writing the equation of the tangent line at "a".
At x = a, y = f(a) and the slope of the tangent line is f'(a).
So, in point slope form, the tangent line has equation
y − f(a) = f'(a)(x − a)
The linearization solves for y by adding f(a) to both sides
f(x) = f(a) + f'(a)(x − a).
Given that,
f(3) = 2,
f'(3) = 5
a = 3, we want to find f(2.85)
x = 2.85
Therefore,
f(x) = f(a) + f'(a)(x − a)
f(2.85) = 2 + 5(2.85 - 3)
f(2.85) = 2 + 5×-0.15
f(2.85) = 2 - 0.75
f(2.85) = 1.25
Answer: The correct option is c.
Explanation:
Reason for correct option:

This expression cannot be factored further because
is the complete factor. Therefore the option c is correct.
Reason for incorrect option:

Since the given expression can be factored further therefore the option d is incorrect.

Since the given expression can be factored further. Therefore the option a is incorrect.

Since the given expression can be factored further. Therefore the option b is incorrect.
Answer:
210
Step-by-step explanation
One yard is equal to 3 feet so the simplest way is to divide the number of feet by 3 and that will give you your answer.