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3 years ago

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

The carson family pays $3,252 a year for their cell phones is $3,252 a reasonable answer?

tensa zangetsu [6.8K]

Answer:

Here we will show you how to calculate how much you will make in a year if you make $3252 an hour. Our calculations are based on the following information, but you can change the numbers further down on this page to make it better reflect your situation.

Hourly Pay: $3252

Work hours per week: 40

Work weeks per year: 52

Income Tax Rate: 12%

To calculate how much $3252 an hour is per year, we first calculate weekly pay by multiplying $3252 by 40 hours per week, and then we multiply the product by 52 weeks, like this:

$3252 × 40 hours

= $130,080.00 per week

$130,080.00 × 52 weeks

= $6,764,160.00 per yearNow you know that your gross income per year (income before tax) is $6,764,160.00 if you make $3252 per hour. However, you have to deduct taxes to find your net yearly income (income after tax).

Everyone has to pay 6.2% Social Security Tax and 1.45% Medicare Tax. Furthermore, we assume you will pay about 12% in Federal, State, and Local income taxes. Here is how to calculate your net income (the actual amount you will receive per year):

Social Security Tax

($6,764,160.00 × 6.2)/100

= $419,377.92

Medicare Tax

($6,764,160.00 × 1.45)/100

= $98,080.32

Income Taxes

($6,764,160.00 × 12)/100

= $811,699.20

+ $6,764,160.00 Gross Income

- $419,377.92 Social Security Tax

- $98,080.32 Medicare Tax

- $811,699.20 Federal/State/Local Taxes

= $5,435,002.56 Net IncomeThere you have it. Now you have the answer to "$3252 an hour is how much a year?" If you make $3252 per hour, then your yearly income before taxes is $6,764,160.00 and your yearly income after taxes is $5,435,002.56

We made some assumptions about how much you work and how much taxes you have to pay. You can adjust these assumptions below to match your situation to get the exact amount for your situation.

Step-by-step explanation:

3 0

2 years ago

Natalie found a tennis ball outside a tennis court. She picked up the ball and threw it over the 12-foot fence into the court. T

dolphi86 [110]

Answer:

Natalie cannot make it over the fence.

Step-by-step explanation:

After reading the statement, we must demostrate if the following inequation is possible, that is:

$-16\cdot t^{2}+18\cdot t+5 \ge 12$

After some algebraic handling we find this equivalent expression:

$16\cdot t^{2}-18\cdot t +7\le 0$ (1)

The polynomial is factorized by the Quadratic Formula:

$\left(t-0.563-i\,0.348)\cdot (t-0.563+i\,0.348)\le 0$

Since all roots are complex, we conclude that Natalie cannot make it over the fence.

3 0

2 years ago

Please help!!! I’m confused

mel-nik [20]

Rectangle with the width of 23 and ten because if u have 236 and so you divide it by 23 since that is the width and then you get ten reminder 6. yeah btw iam in 5th grade and 23 cannot go into 6.

3 0

3 years ago

I will give brainiest to whom answers correct and the fastest and a thanks

german

Answer:

(D) The bottom graph, and (A) The top table.

Step-by-step explanation:

The easiest way to pick out the wrong answers is simply through substitution. Substitute the input into the x part of the equation that is given and if it doesn't match up with y everytime, then it is incorrect.

From table A (top table), the input x can be substituted into y = x + 2 which will come out as the output so it is correct.

For table A:

x = -3 → y = x + 2 → y = (-3) + 2 → y = -1 = -1

x = -2 → y = x + 2 → y = (-2) + 2 → y = 0 = 0

x = -1 → y = x + 2 → y = (-1) + 2 → y = 1 = 1

x = 0 → y = x + 2 → y = (0) + 2 → y = 2 = 2

x = 1 → y = x + 2 → y = (1) + 2 → y = 3 = 3

Since the table matches up with the inputs and outputs of the table, it is a correct answer.

For table B:

x = 3 → y = x + 2 → y = (3) + 2 → y = 5 = 5

x = 4 → y = x + 2 → y = (4) + 2 → y = 6 ≠ 7

x = 5 → y = x + 2 → y = (5) + 2 → y = 7 ≠ 9

x = 6 → y = x + 2 → y = (6) + 2 → y = 8 ≠ 11

x = 7 → y = x + 2 → y = (7) + 2 → y = 9 ≠ 13

5 out of the 6 y values of the table do not match the equation, so table B must be incorrect.

Graph C:

Notice how you can see the line cross the x, and y axis. When the line crosses the x axis, it is an x intercept which means y is 0. When the line crosses the y axis, it is a y intercept which means x is 0.

Since the line crosses the y axis at 2, this means that an x of 0 must lead to a y of 2 which it does.

x = 0 → y = x + 2 → y = (0) + 2 → y = 2 = 2.

But the x intercept doesn't match up as shown here.

y = 0 → y = x + 2 → (0) = x + 2 →

0 – 2 = x + 2 – 2 → -2 = x → x = -2 ≠ -1

When graphing the line y = x + 2, it's x intercept should be (-2,0). While on this graph, it's (-1,0). This means that this graph is incorrect which leads to D being another correct answer.

✓ Table A: y = x + 2

× Table B: y = 2x – 1

× Graph C: y = 2x + 2

✓ Graph D: y = x + 2

8 0

3 years ago

I need help please due today

swat32

Answer:

hi calm down I am here for you in the image there is a step by step explanation

x=3

y=-5

z=-4

4 0

3 years ago