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3 years ago

Explain how you could use the construction tool or a compass and straightedge to create a line segment that is twice as long

Mathematics

2 answers:

MAXImum [283]3 years ago

4 0

Watch this video it might help you out https://www.brightstorm.com/math/geometry/constructions/duplicating-a-line-segment-problem-1/

Gelneren [198K]3 years ago

4 0

Answer:

We can construct the given segment by using the following steps:

Step 1: Adjust the compass width equal to the length of the segment AB.

Step 2: Draw another line that is greater than the twice of the segment AB in length.

Step 3 : Without changing the compass settings, draw an arc from end of the line on the line (this is equal to length AB)

Step 4 : Now again put the compass tip on the intersection of the arc drawn above, and make another arc on the line (this is also equal to length AB from the arc)

Now, we get a double line segment from the end of the line.

Its like AB + AB = 2AB.

You can see the attached figure to get a clear view of construction.

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Glacier State Bank pays 6% interest, compounded daily. After finding the daily interest rate (to the nearest millionths place) f

sveta [45]

6 per cent compounded daily yields
(1 + .(06/365) )^365
= 1.0618313107 -1=
 6.18313107 % annually

Total = 4,000 * (1.0618313107)^(92/365) =
$ 4,060.95

Here's a compound interest calculator:
http://www.1728.org/compint.htm

4 0

3 years ago

Item 16 A sphere has a radius of 8 centimeters. A second sphere has a radius of 2 centimeters. What is the difference of the vol

Zigmanuir [339]

Answer:

$672\pi \text{ cm}^3$ .

Step-by-step explanation:

We have been given that a sphere has a radius of 8 centimeters. A second sphere has a radius of 2 centimeters. We are asked to find the difference of the volumes of the spheres.

We will use volume formula of sphere to solve our given problem.

$\text{Volume of sphere}=\frac{4}{3}\pi r^3$ , where r is radius of sphere.

The difference of volumes would be volume of larger sphere minus volume of smaller sphere.

$\text{Difference of volumes}=\frac{4}{3}\pi(\text{8 cm})^3-\frac{4}{3}\pi(\text{2 cm})^3$

$\text{Difference of volumes}=\frac{4}{3}\pi(512)\text{ cm}^3-\frac{4}{3}\pi(8)\text{ cm}^3$

$\text{Difference of volumes}=\frac{4}{3}\pi(512-8)\text{ cm}^3$

$\text{Difference of volumes}=4\pi(168)\text{ cm}^3$

$\text{Difference of volumes}=672\pi\text{ cm}^3$

Therefore, the difference between volumes of the spheres is $672\pi \text{ cm}^3$ .

3 0

4 years ago

How many solutions does the following system have?

ale4655 [162]

Answer:

Option D. No solutions

Step-by-step explanation:

we have

$3x+2y=1$ -----> equation A

$-9x-6y=3$ ----> equation B

Multiply by -3 both sides equation A

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

$-9x-6y=-3$ -----> equation C

Compare equation B and equation C

Equation B and equation C are parallel lines with different y-intercept

Verify

For x=0

Equation C

$-9(0)-6y=-3$ -----> $y=0.5$

The y-intercept is the point (0,0.5)

Equation B

$-9(0)-6y=3$ -----> $y=-0.5$

The y-intercept is the point (0,-0.5)

therefore

Lines do not intersect

The system has no solution

see the attached figure to better understand the problem

6 0

4 years ago

Mrs.Stone is three times older than her younger daughter, Joyce, but only two times older than her older daughter, Alex. How old

olchik [2.2K]

Answer:

54 years

Step-by-step explanation:

Joyce age = x

Alex age = y

3x = 2y - - - (1)

y - 9 = 2(x - 9)

y - 9 = 2x - 18

-9 + 18 = 2x - y

9 = 2x - y

y = 2x - 9 - - (2)

3x = 2y

3x = 2(2x - 9)

3x = 4x - 18

18 = 4x - 3x

18 = x

Hence,

Mrs stone is 3 * 18 = 54 years

5 0

3 years ago

HELP LAST PROBLEM!

Keith_Richards [23]

Given 4 boxes of pencils cost $5,
Unknown- slope
$1.25 per box since $5/boxes
Equation y=mx+b
Substitute $1.25/per box for m
Solve y=$1.25x
The Check
$5=$1.25/per box(4 boxes)
$5=$5

3 0

3 years ago