The standard diameter of a golf ball is 42.67 mm. a golf ball factory does quality control on the balls it manufactures. golf balls are randomly measured to ensure the correct size. one day, an inspector decides to stop production if the discrepancy in diameter is more than 0.002 mm. what is the range of acceptable values?

42.668 mm to 42.672 mm.

Step-by-step explanation:

According to given situation, Production will be stopped if the discrepancy in diameter is greater than 0.002 mm.

The difference in the limits are,

42.67 - 0.002 = 42.668

42.67 + 0.002 = 42.672

Therefore, the range of acceptable values are 42.668 mm to 42.672 mm

0.002 larger than 42.67 mm, or a diameter more than 0.002 smaller than 42.67. This is the reason for using an absolute value function.

 Absolute value represents the distance a number is from 0. For this function, we would want only the values where the function is less than 0.002.

i got 10.28 but that rounds up to 10.3

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.