Answer:There are two right triangles. You need to find the opposite side (the height) of each of them. The difference between the two is the height of the blade, x.
You know the adjacent, 440, and you are looking for the opposite, so you need to use tan for both.
tan (30) = y / 440
y = 440 * tan (30) = 254.034...
tan (38.8) = z / 440
y = 440 * tan (38.8) = 353.769.--
353.8 - 254.0 = 99.8 = 100 feet.
Step-by-step explanation:
Answer:
4
Explanation:
Since the third term is the sum of the two previous terms
Continuing in like manner
Since
Recall:
The sequence is therefore:
8,-5,3,-2,1,-1,0
The sum of the seven numbers is 4.
The simplified expression for the given function is 2x + 4 - ( 1 / x-1). The correct option is A.
<h3>What is an expression?</h3>
The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the functions are f(x) = x + 2 and h(x) = 1 / x-1. The value of the function 2f(x) – h(x) will be calculated as,
E = 2f(x) – h(x)
E = 2( x + 2 ) - ( 1 / x-1)
E = 2x + 4 - (1/x-1)
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Answer:
170 heart beat per minute.
Step-by-step explanation:
While exercising, a person’s recommended target heart rate is a function of age. The recommended number of beats per minute, y, is given by the function y = f(x) = − 0.85x + 187 where x represents a person’s age in years.
So, if my age is 21 years i.e. x = 21, then the number of recommended heart beats per minute for my age will be
y = f(21) = - 0.85(21) + 187 = - 17.85 + 187 = 169.15 ≈ 170. (Answer)
{Taking the larger integer value}
Answer:
-4
Step-by-step explanation:
y=-4x-9
y=mx+b
m=slope