Diameter of the larger gear х см
1/4х = 16 - 2.5
1/4x = 13.5
x = 13.5 * 4
x = 54 cm - diameter of the larger gear /
Answer:
3 meters
63 meters
Step-by-step explanation:
In order for his two breaks to occur after even distances, simply divide his total path in three:

He will reach his first break after 3 meters.
If he can only take 9 pieces at a time the number of trips required is:

Note that he will have to back to the back yard for the first three trips (traveling back the 9 meters path). The total distance traveled is:

He will travel 63 meters.
Answer:
f(5.9)= 15.7
Step-by-step explanation:
f(x) = 3x -2
f(5.9) = 3(5.9) -2
f(5.9) = 17.7 -2
f(5.9) = 15.7
Word Explination
If the (x) in f(x) is replaced by another variable (in this case, a number) any other x seen in the equation is replaced by that variable. For this question, the x in f(x) is replaced by 5.9. And so any other x in this equation needs to be replaced by 5.9 as well. From there on out, you solve.
Answer:

Step-by-step explanation:
see the attached figure to better understand the problem
we know that
In the right triangle ABC, the tangent of angle of 30 degrees is equal to divide the opposite side to the angle of 30 degrees (AC) by the adjacent side to the angle of 30 degrees (BC)

substitute the given values

Solve for b

Answer:
-3x^2 - 21x
Step-by-step explanation:
This question is representing multiplying two functions :
We are finding f(x) * g(x)
We know that f(x) is -3x and g(x) is x + 7, therefore :
(-3x)(x + 7)
Follow FOIL :
First :
(-3x)(x)
-3x^2
Outer :
(-3x)(7)
-21x
Therefore the answer is :
-3x^2 - 21x