On a DVD, information is stored on bumps that spiral around the disk. There are 73,000 ridges (with bumps) and 73,000 valleys (without bumps) across the diameter of the DVD. What is the diameter of the DVD in centimeters? Round your answer to the nearest whole number.

Answer:

62.8 feet

Step-by-step explanation:

The distance around the circle is known as the circumference

We can find the circumference using the formula C = 2πr

Where r = radius

The radius is a line that goes from the center of the circle to any point on the circle.

Here, we are given that the radius is 10 feet

Plugging in the value of the radius into the circumference formula

Again we have C = 2πr

==> plug in r = 10

C = 2π(10)

==> multiply 10 and 2

C = 20π

==> multiply 20 and π (which has a value of about 3.14)

C = 62.8 ( rounded )

So the distance around the circle is about 62.8 feet.

Learn more about the circumference of a circle here : https://brainly.com/question/15886468

Answer:

62.8 feet

Step-by-step explanation:

We are given:

[tex]\text{Radius of circle} = \bold{10} \ \bold{feet}[/tex]

Definition of radius: The radius of the circle is the line that starts from the center point and ends at any point of the circle.

The formula that expresses the circumference of a circle is 2πr.               [Where "r" represents the radius of the circle]

Let's substitute the radius in the circumference formula and simplify it to determine the distance around the circle (circumference).

[tex]\implies \text{Circumference of circle} = 2\pi r[/tex]

[tex]\implies \text{Circumference of circle}= 2\pi (10)[/tex]                    [tex]\implies \text{Circumference of circle} = 20\pi[/tex]

Let us take π as 3.14. Then, we get:

[tex]\implies \text{Circumference of circle} = 20(3.14) = 2(31.4) = \boxed{62.8 \ \text{feet}}[/tex]

Therefore, the distance around the circle (circumference) is 62.8 feet.

Learn more about circumference of a circle: https://brainly.com/question/14966973

Answer:

7/12

6/12

13/12

Step-by-step explanation:

For the denominators (12, 6) the least common multiple (LCM) is 12,

Equivalent Fractions with the LCD,

7/12 = 7/12 × 1/1 = 7/12

3/6 = 3/6 × 2/2 = 6/12

7/12 = 7/12

3/6 = 6/12

7/12 + 6/12 = 13/12

Answer:

question 1) 8/52

question 2) 2/3

Step-by-step explanation:

question 1) there are 52 cards in a standard deck. Of those 52 cards there are 4 of each card (e.i 4 aces, 4 kings, 4 tens, etc.). So, 4 of 52 cards are 2s and 4 of 52 cards are Kings. 4 + 4 is 8, so the probability of getting a 2 or a King is 8/52.

question 2) There are 6 numbers on a 6-sided number cube-- 1, 2, 3, 4, 5, 6. The numbers 2 and 5 can be crossed out because we want to find the probability of NOT getting a 2 or 5. This leaves you with the numbers 1, 3, 4, and 6. That is 4 of 6 numbers. Therefore the probability of NOT getting a 2 or 5 is 4/6. We can simplify 4/6 to 2/3.

Answer:

See below :D

Step-by-step explanation:

2)5*1/4

=5/4

=1 1/4

4)2*5/6

=10/6

=5/3

= 1 2/3

6)4*3/5

=12/5

=2 2/5

8)2*3/4

=6/4

=3/2

=1 1/2

10) 7*5/9

=35/9

=3 8/9

12)4*2/3

=8/3

=2 2/3

14)5*6/7

=30/7

= 4 2/7

Hope this helps!! <:)

Answer:

2) 20

4) 1 and 2/3

6) 2 and 2/5

8) 1 and 1/2

10) 3 and 8/9

12) 2 and 2/3

14) 4 and 2/7

Answer:

The Stores profit is 70% or $59.5

How?

The reason is because if it's selling it for 100% of the price, then that means that the store bought it for 85 dollars, and it's selling it for 85 dollars, and that's 0% profit. But because the store has bought it for 100%, and then it's charging another 70% of the price, so the store's profit is 70%.

Now, we find 70% of 85 dollars, which will be the STORE'S PROFIT AMOUNT!

1. Convert percentages into fractions or decimals

For fraction: divide 70 by 100 and remove the % sign.

[tex]{70}\%=\frac{70}{100}[/tex]

For decimal: move the decimal point 2 places to the left and remove the % sign.

[tex]{70}\%=0.7[/tex]

2. Multiply the decimal or fraction by the quantity that equals 100%

[tex]100[/tex]%[tex]=85[/tex]

[tex]\frac{70}{100} *85=0.7*85=59.5[/tex]

Extra info:

170% of 85 = 144.5

70% of 85 = 59.5

it's 3 calories per grape

57/19= 3

Answer: 3 calories per grape

Step-by-step explanation:

ur welcome

Answer:

a ; 24

Apoximenly the same as 8th grade.

Answer:

A). 69 people ordered fries with their combo meal on Friday.

Step-by-step explanation:

1. Rewrite 80% as a decimal: 0.8

2. Find how many customers on Friday ordered combo meals:

3. Of the given information, we know that 3/4 of those 92 who ordered the combo meal had fries.

Answer:

Its A and C. Since you need a reflection then a dilation to result in that image.

Answer:

81.75%

Step-by-step explanation:

98 percent on a 60 point test is 59/60

65.50+98/2 = 81.75%

Answer:

a) pattern a: 4,8,12,16,20

   pattern b: -8,-16,-24,-32,-40

0,4, 8, 12, 16 are the five terms of pattern A and 0,-8, -16, -24, -32 are the five terms of pattern B and the relationship between both the patterns is linear.

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

For pattern A:

0, 0+4, 4+4=8, 8+4=12, and 12+4=16

I.e 0,4, 8, 12, 16 are the five terms of pattern A

For pattern B:

0, 0-8=-8, -8-8=-16, -16-8=-24, -24-8=-32

I.e 0,-8, -16, -24, -32 are the five terms of pattern B

The relationship between two patterns is linear

The relationship exist between two patterns because both sequences are arithmetic sequences

Hence, 0,4, 8, 12, 16 are the five terms of pattern A and 0,-8, -16, -24, -32 are the five terms of pattern B and the relationship between both the patterns is linear.

To learn more on Sequence click:

https://brainly.com/question/21961097

#SPJ3

Answer:

The answer is y=60/x

(I also had this question)

Answer:

absolutely its (A.), since, √15=3

Answer:

A

Step-by-step explanation:

√15 is greater than 3 and less than 4 as it is 3.8

Answer:

[ 22 ]

Step-by-step explanation:

First you gotta add the cubes inside of it to find the volume then the ones outside you have to take them out and slant them then you have to fill the whole thing up and there you go [or you can just add all the numbers together for a easier explanation. ] Sorry if its wrong! ~Bread

Answer:

68 in³

Step-by-step explanation:

To find the volume of the figure, we first need to find the volumes of the 2 triangular prisms and 1 rectangular prism.

Triangular prism

[tex]{\boxed{\text{Volume}= \text{base area ×height}}}[/tex]

The base area here is the area of the triangular face, since it is the face that repeats itself throughout the entire length/height to form the volume of prism.

Base area

= area of triangle

= ½(base)(height)

= ½(2)(3)

= 3 in.

Height= 2 in.

Volume

= 3(2)

= 6 in³

Volume of rectangular prism

Volume

= base area ×height

= length ×breadth ×width

= 14(2)(2)

= 56 in³

Total volume

Volume of figure

= 2(6) +56

= 12 +56

= 68 in³

First size: SA1 = 2B + Ph, where B = area of the base of the figure, P = perimeter of the base and h = height

SA1 = 2(12*7,2) + (12+7,2)*31 = 172.8 + 595.2 = 768 cm^2

Second size: SA2 = 2B + ph2 (where h2 is the new height, 31.9 cm)
SA2 = 2(12*7,2) + (12+7,2)*31.9 = 785.28 cm^2

It increases (by rounding it down) by 17 cm^2.

Answer:(7,-5)

From a x axis point is 7

From a y axis point is -5

Thus coordinates are (7,-5) because in any point coordinates are always in the form (x,y).

Hope this Helps! :)

Answer:

D. (7, -5)

Step-by-step explanation:

We are asked to find the coordinates of point A:

Learn more about graphing coordinates here:

brainly.com/question/118885

Answer:

I'm a little rusty on this subject so if this answer is wrong then please forgive me if I'm wrong.
it would probably be answer 1, the one at the top.

Step-by-step explanation:

So, if you gather -1/2 and then flip which makes -2/1 to cancel it out, then you do the same with -16, and then put -16/1(-2/1) then multiply -16 and -2, which will give you 32. Because the equation is now p<32, it would be an open circle going to 32 or higher. Hope this helps, and if sorry if this is wrong, It's been a while since I've revisited this subject!

Answer:

13.3, but you can't sell 0.3 so round to the nearest whole number, which is 13.

Step-by-step explanation:

Find the volume of the cone package.

[tex]V = \frac{\pi r^{2}h }{3} \\V=\frac{3.14(3^{2})(8) }{3} \\V= \frac{25.12(9)}{3} \\V = \frac{226.08}{3} \\V=75.36[/tex]

Now divide the total cubic inches, 1000, by the volume of one cone package.

1000/75.36 = 13.3

Answer:

divide by 3 ok bye

Answer:

x = 10

Step-by-step explanation:

Both obects are similar right. That means that they must have similar angles, similar sizes and similar scale factors.

For me by just looking at the figires I can conclude a similar scale factor which is 1.7. However we are going to calculate the scale factor.

First we must take notice that the triangle D'E'F' is an enlargement. So to find the scale factor we must the same sides of both triangle and divide the larger sid by the smaller side.

68 ÷ 40 = 1.7

Now that we have the scale factor (1.7) we can now find x.

The similer side D'F' = 17 and DF = x.

We are gonna use the scale factor to divide D'F' to find DF.

17 ÷ 1.7 = 10

Therefore x is 10

Answer:

The answer is 36 in

Step-by-step explanation:

hope this helped! :D

(pls give brainlest)

Answer:

A)1 is 3    B) just but the number from A

2 is 5

3 is 6

4 is 3

Step-by-step explanation:

Answer:

n = 32

Step-by-step explanation:

Given:

[tex]\frac{8}{12}=\frac{n}{48}[/tex]

Solve:

[tex]\mathrm{Cross\; Multiply:}[/tex]

[tex]\frac{8}{12}=\frac{n}{48}[/tex]

[tex]\mathrm{48\times8=384}[/tex]

[tex]\mathrm{384\div12=32}[/tex]

[tex]\mathrm{Hence,n=32}[/tex]

~[tex]\mathrm{[Kavinsky]}[/tex]