1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mashutka [201]
3 years ago
8

When constructing a perpendicular bisector, why must the compass opening be greater the 1/2 than the length of the segment?

Mathematics
1 answer:
Alex787 [66]3 years ago
8 0

Answer.

It is Important to open the compass more than half the length so that the arcs made would meet.

Explanation.

When you want to construct a perpendicular line to a line segment, say line AB, the follow steps are taken;

1) Open your compass to a radius greater than half the line AB.

2) With A as your center make an arc on top and below line AB.

3) Using the same radius and with B as our center, make other arcs on top and below line AB to meet the first arcs on both sides of the line.

4) Join the two intersection of the two arcs to cut line AB at M.

In so doing the line AB is said to be bisected perpendicularly. If the compass was opened less than half line AB, then the arcs could not have meet. 

You might be interested in
2.5 x 10 with exponent of -2
zalisa [80]

Answer:

1/40 or 0.025

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Engineers must consider the diameters of heads when designing helmets. The company researchers have determined that the populati
Margaret [11]

Answer:

1. The minimum head breadth that will fit the clientele is of 4.41-in.

2. The maximum head breadth that will fit the clientele is of 7.19-in.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Normally distributed with a mean of 5.8-in and a standard deviation of 0.8-in.

This means that \mu = 5.8, \sigma = 0.8

1. What is the minimum head breadth that will fit the clientele?

The 4.1st percentile, that is, X when Z has a pvalue of 0.041, so X when Z = -1.74.

Z = \frac{X - \mu}{\sigma}

-1.74 = \frac{X - 5.8}{0.8}

X - 5.8 = -1.74*0.8

X = 4.41

The minimum head breadth that will fit the clientele is of 4.41-in.

2. What is the maximum head breadth that will fit the clientele?

100 - 4.1 = 95.9th percentile, that is, X when Z has a pvalue of 0.959, so X when Z = 1.74.

Z = \frac{X - \mu}{\sigma}

1.74 = \frac{X - 5.8}{0.8}

X - 5.8 = 1.74*0.8

X = 7.19

The maximum head breadth that will fit the clientele is of 7.19-in.

8 0
2 years ago
0.42 is 15% of what number
julia-pushkina [17]

Answer:

2.8

Step-by-step explanation:

You have to divide 0.42 by 15%.

0.42 / 15% = 2.8

6 0
3 years ago
A scuba diver finds a treasure chest in the ocean when she opens it up she discovers that it is filled with 3,567 gold coins and
Lisa [10]
5,360

Hope this helps you.
3 0
3 years ago
Coach Kiran is getting dinner for the seniors of his basketball team.
jeka57 [31]

Answer:

yes and

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Other questions:
  • At a certain time of day, the angle of elevation of the sun is 30°. A tree has a shadow that is 25 feet long. Find the height of
    13·2 answers
  • Three numbers form a geometric progression. If the second term is increased by 2, then the progression will become arithmetic an
    15·1 answer
  • A grocer is mixing 40 cent per pound coffee with 60 cent per pound coffee to make a mixture worth 54 cents per
    15·1 answer
  • Using the notation "y =" corresponds to which of the following?
    8·1 answer
  • Betty has 32 hair ribbons she gave 0.25 of the ribbons to Sheri she gave 0.5 of the remaining ribbons to Marcy she kept the rema
    15·2 answers
  • Can u help me with my homework please it is a little bit harder then I thought
    7·1 answer
  • What times what equals 162
    13·1 answer
  • Find the length of the missing side. Leave your answer in simplest radical form.
    8·1 answer
  • Match the fractions that are equivalent to each other?
    14·2 answers
  • 1. How do you find the slope & y-intercept (non-proportional) from a table of x and y coordinates when using the Ti-Nspire?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!