Each pencil costs $0.40 because
4.00/10=.40
Answer:
<em>The larger gear will rotate through 156°</em>
Step-by-step explanation:
<u>Arc Length</u>
The arc length S of an angle θ on a circle of radius r is:

Where θ is expressed in radians.
The smaller gear of r1=3.7 cm drives a larger gear of r2=7.1 cm. The smaller gear rotates through an angle of θ1=300°.
Convert the angle to radians:

The arc length of the smaller gear is:


The larger gear rotates the same arc length, so:


Solving for θ2:




The larger gear will rotate through 156°
Answer: A right triangle.
Step-by-step explanation:
This is because an acute triangle would have all of its three sides acute while an obtuse one would have two acute angles as well, but also an obtuse one. If the question is specifically asking for a triangle with exactly two acute angles, a right triangle would be the answer.
A number line ranges from minus 5 to 5 with increment of 1 unit. Left, Point F is plotted on the number line at minus 3. Right, point G is plotted on the number line at 1.50, then the distance between F and G is 4.50.
Calculating the Distance between F and G:
It is given that, on a number line,
Point F is located at -3
Point G is at 1.50
Since, 1.5 > (-3) and each number is at a 1 unit difference form the adjacent number on the number line,
The difference between F and G = 1.50 - ( -3 )
This implies that the distance between F and G = 1.50 + 3
= 4.50 units
The numbers lying between the points F and G on the number line are: -2, -1, 0, and 1
Learn more about a number line here:
brainly.com/question/13189025
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