The height of a windmill blade above the ground (in feet) is given by the function f where f(k)=14sin(1.1k)+24. Match the following expressions with the appropriate quantity.
expressions
sin(1.1k)
1.1
24
14sin(1.1k)
k
1.1k
14sin(1.1k)+24
quantities
A. speed of the blade (in feet per second)
B. height of the blade above ground (in radii)
C.speed of the blade (in radians per second)
D.height of the horizontal diameter of the fan above the ground (in radii)
E.height of the blade above the horizontal diameter of the fan (in feet)
F. angle measure rotated from the 3 o'clock position (in radians)
G. height of the blade above the horizontal diameter of the fan (in radii)
H. height of the horizontal diameter of the fan above the ground (in feet)
I.height of the blade above ground (in feet)
J.number of seconds elapsed since windmill started rotating
Answers that I put down were
F,C,H,D,J,A,I
Correct me if wrong
Based on the given expressions and quantities, here is the correct match:
F. sin(1.1k) - B. height of the blade above ground (in radii)
C. 1.1 - C. speed of the blade (in radians per second)
H. 24 - H. height of the horizontal diameter of the fan above the ground (in feet)
G. 14sin(1.1k) - G. height of the blade above the horizontal diameter of the fan (in radii)
I. k - J. number of seconds elapsed since windmill started rotating
A. 1.1k - I. height of the blade above ground (in feet)
D. 14sin(1.1k)+24 - E. height of the blade above the horizontal diameter of the fan (in feet)
Please note that H, G, and E are referring to the same quantity, just mentioned in different units. Let me know if you have any further questions!
Based on the given information, let's match the expressions with the appropriate quantities:
Expressions:
1. sin(1.1k)
2. 1.1
3. 24
4. 14sin(1.1k)
5. k
6. 1.1k
7. 14sin(1.1k) + 24
Quantities:
A. speed of the blade (in feet per second)
B. height of the blade above ground (in radii)
C. speed of the blade (in radians per second)
D. height of the horizontal diameter of the fan above the ground (in radii)
E. height of the blade above the horizontal diameter of the fan (in feet)
F. angle measure rotated from the 3 o'clock position (in radians)
G. height of the blade above the horizontal diameter of the fan (in radii)
H. height of the horizontal diameter of the fan above the ground (in feet)
I. height of the blade above ground (in feet)
J. number of seconds elapsed since windmill started rotating
Now let's match the expressions with the quantities:
1. sin(1.1k) - F (angle measure rotated from the 3 o'clock position in radians)
2. 1.1 - C (speed of the blade in radians per second)
3. 24 - H (height of the horizontal diameter of the fan above the ground in feet)
4. 14sin(1.1k) - G (height of the blade above the horizontal diameter of the fan in radii)
5. k - J (number of seconds elapsed since windmill started rotating)
6. 1.1k - not listed
7. 14sin(1.1k) + 24 - I (height of the blade above ground in feet)
So the correct matches are:
F - sin(1.1k)
C - 1.1
H - 24
G - 14sin(1.1k)
J - k
I - 14sin(1.1k) + 24
Note that 1.1k is not listed as one of the quantities.
Let's go through each expression and match it with the appropriate quantity:
Expression: sin(1.1k)
This expression represents the sine of 1.1k, where k is a variable. In this context, it represents the angle measure rotated from the 3 o'clock position (in radians). Therefore, the correct quantity match for this expression is F.
Expression: 1.1
This is a constant value of 1.1. It doesn't directly relate to any of the quantities mentioned in the question, so we cannot match it to any of them.
Expression: 24
This is a constant value of 24. It represents the height of the horizontal diameter of the windmill fan above the ground (in feet). Therefore, the correct quantity match for this expression is H.
Expression: 14sin(1.1k)
This expression represents the product of 14 and sin(1.1k), where k is a variable. It represents the height of the blade above the horizontal diameter of the fan (in feet). Therefore, the correct quantity match for this expression is E.
Expression: k
The variable k represents a value related to time. In this specific context, it represents the number of seconds elapsed since the windmill started rotating. Therefore, the correct quantity match for this expression is J.
Expression: 1.1k
This expression represents the product of 1.1 and k, where k is a variable representing time. In this context, it represents the speed of the blade (in radians per second). Therefore, the correct quantity match for this expression is C.
Expression: 14sin(1.1k) + 24
This expression represents the sum of 14sin(1.1k) and 24. In this context, it represents the height of the blade above the ground (in feet). Therefore, the correct quantity match for this expression is I.
Provided your answers:
F - Correct
C - Correct
H - Correct
D - Incorrect (The height of the horizontal diameter of the fan is already matched with expression 24)
J - Correct
A - Incorrect (The speed of the blade is not mentioned in the given function)
I - Correct
Corrected answers:
F, C, H, E, J, I
So the corrected answers are: F, C, H, E, J, I