The area of a DVD is 36π cm. What is the diameter of the DVD?

Answers

Answer 1

Answer:

12 cm

Step-by-step explanation:

shape of DVD is circle

Area of circle = 36π

πr² = 36π

r² = 36

r = √36

r = 6

Diameter (d) = 2r = 2(6) = 12cm


Related Questions

please help and explain.

Answers

answer : -40/41

steps:

soh cah toa

sin is soh

meaning opposite/hypotenuse

opposite is 9 and

hypotenuse is 41

now you can treat it like a triangle and use the pythagorean theorem

a^2 + 9^2 = 41^2

a^2 + 81 = 1681

a^2 = 1600

a = 40

in soh cah toa

cos is adjacent/hypotenuse so

cos is 40/41

its in quadrant 2 so its negative

-40/41

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Part A: Abe rented a bike at $36 for 5 days. If he rents the same bike for 8 days, he has to pay a total rent of $48.

Write an equation in the standard form to represent the total rent (y) that Abe has to pay for renting the bike for x days. (4 points)

Part B: Write the equation obtained in Part A using function notation. (2 points)

Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)

(10 points)

Answers

Answer:

(5,36)(8,48)slope = (48 - 36) / (8 - 5)

Step-by-step explanation:

Answer: Equation of the system is y = 4x + 16 and in function form is f(x) = 4x + 16.

Explanation

Find (a) arc length and (b) Area of a sector.

Answers

Answer:

a) 29.45 cm (2 dp)

b) 220.89 cm² (2 dp)

Step-by-step explanation:

Formula

[tex]\textsf{Arc length}=r \theta[/tex]

[tex]\textsf{Area of a sector}=\dfrac{1}{2}r^2 \theta[/tex]

[tex]\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in radians)}[/tex]

Calculation

Given:

[tex]\theta=\dfrac{5 \pi}{8}[/tex] r = 15 cm

[tex]\begin{aligned}\implies \textsf{Arc length} & =r \theta\\& = 15\left(\dfrac{5 \pi}{8}\right)\\& = \dfrac{75}{8} \pi \\& = 29.45\: \sf cm\:(2\:dp)\end{aligned}[/tex]

[tex]\begin{aligned} \implies \textsf{Area of a sector}& =\dfrac{1}{2}r^2 \theta\\\\ & = \dfrac{1}{2}(15^2) \left(\dfrac{5 \pi}{8}\right)\\\\& = \dfrac{225}{2}\left(\dfrac{5 \pi}{8}\right)\\\\ & = \dfrac{1125}{16} \pi \\\\& = 220.89 \: \sf cm^2\:(2\:dp)\end{aligned}[/tex]

1. Use the data points about the distance and elevations of the camps to graph the data points where the x-coordinate is the total distance traveled from the base camp and the y-coordinate is the elevation. Use the grid below or include a screenshot of the data plotted from a calculator.

Can someone please help/explain! I'm super confused and bad with word problems! The info is shown below!

Answers

You should plot the total distance traveled from the base camp on the x-coordinate while the elevation should be plotted on the y-coordinate.

What is a graph?

A graph simply refers to a type of chart which is commonly used to graphically represent data on both the vertical and horizontal lines of a cartesian coordinate (x-coordinate and y-coordinate).

How to plot this graph?

In this scenario, you would plot the total distance traveled from the base camp on the x-coordinate while the elevation of the camps would be plotted on the y-coordinate as shown in the image attached below.

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Question 1 (Essay Worth 10 points)
(08.01 MC)

Minnie is doing a survey to find the time her classmates spend playing musical instruments. She asks the following question:

Which student spends the most time playing musical instruments?

Part A: Describe the data you would expect her to collect from this question. (5 points)

Answers

Part A: She needs to collect different types of data to form her classmates. It will help her to find which student spends the most time playing musical instruments.

Part B: Yes, it is a statistical question.

What does Zoe need to do?

Zoe needs two main data from each of her classmates.

1. Name of her classmates.

2. Which student spends how much time playing musical instruments.

After that, she can make a graph or a chart in order to understand which student spends more time playing musical instruments.

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Solve: x/2-3x/4+x/6=(-2)/3

Answers

original equation

[tex]\frac{x}{2}-\frac{3x}{4}+\frac{x}{6}=-\frac{2}{3}[/tex]

multiply by lcd

[tex]12(\frac{x}{2})-12(\frac{3x}{4})+12(\frac{x}{6}) =-12(\frac{2}{3})\\\\6x-9x+2x=-8[/tex]

isolate for x

[tex]-1x=-8\\\\x=8[/tex]

verify

[tex]\frac{8}{2}-\frac{3(8)}{4}+\frac{8}{6}=-\frac{2}{3}\\\\4-6+\frac{4}{3}=-\frac{2}{3}\\\\4-2+\frac{4}{3}=-\frac{2}{3}\\\\-\frac{2}{3}=-\frac{2}{3}\\\\LS=RS[/tex]

Write the inequality given in the diagram below

Answers

Step-by-step explanation:

it's either 3 or 2 probably

What is the probability of getting a number greater than or equal to 5 when rolling a number cube numbered 1 to 6?
A.1/5
B.1/6
C.1/3
D.2/5

Answers

Answer:

C. 1/3.

Step-by-step explanation:

There are 2 favourable outcomes:

a 5 or a 6.

So that is 2 numbers out of 6.

Therefore the probability is 2/6

= 1/3.

PLEASE EASY 20 POINTS A new park in the shape of a hexagon will have 6 sides of equal length.
On a scale drawing, the coordinates of the vertices of the park are (26.5, 12), (38.5, 7), (26.5, 2), (13.5, 2), (1.5, 7), and (13.5, 12).


How long is each side of the park?

Answers

Answer:

13

Step-by-step explanation:

26.5 - 13.5 = 13

Aaron flips a coin three times, how many outcomes have only one head?

1

2

3

4

Answers

3

Step-by-step explanation:

there are 6 solutions, 3 contain 2 heads, i think. dont judge me if its wrong.

-x/8-11=-2 what is the answer because i have a tough time solving it

Answers

Answer:

[tex]x=-72[/tex]

Step-by-step explanation:

[tex]-\frac{x}{8}-11=-2\\ -\frac{x}{8}=9\\ -x=72\\x=-72[/tex]

Given the following formula, solve for I.

P = 2(1 + 6)

PLEASE HELP!!!

Answers

Step-by-step explanation

Here ...I'm not too sure about the question as you have written

P = 2 ( 1 + 6 ) and ask to solve for L ...

.So I guess the question you have written is wrong .. ...and I guess there should be L in the place of 1.

...So let me correct the question....

P = 2 ( l + 6 )

P = 2l + 12

P - 2l = 12

- 2l = 12 - P

- 2l = - P + 12

Change the sign of both side of the equation...

2l = P + 12

divide both side by the same number...

L = ( P + 12 ) ÷ 2

[tex]l = \frac{1}{2} p - 12 \times \frac{1}{2} \\ [/tex]

Calculate the product of rational numbers...

[tex]l = \frac{1}{2} p - 6 \\ [/tex]

How many solutions does this system
have?
6x+3y = 9
2x + y = 3

Answers

Answer:

The system of equation has infinite solution.

Step-by-step explanation

2x + y = 3

6x = 9 – 3y

First we re-write the second equation in standard form

So, we add 3y both sides

6x+3y=9 ---------------- (2)

2x+y = 3-----------------  (1)

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

6x+3y=9

6x-6x + 3y-3y = 9-9

0=0

LHS=RHS

This is true statement. If statement is true then infinite number of many solution.

Answer:

infinite

Step-by-step explanation:

acellus

David bought a computer that was 20%
off the regular price of 1,080.if an 8%
sales tax was added to the cost of the
computer what was total price david
paid for it

Answers

Answer:

The total price David paid for the computer is $933.12

Step-by-step explanation:

The cost of the computer will be $1,080 with 20% off and 8% sales tax.


20% of 1080 is 1080(0.20)=216 this means 216 is 20% of 1080, so with the discount the price will be 1080-216=$864

Now we have to find 8% of 864.

864(0.08)=$69.12

So the total price will be 864+69.12= $933.12

In the circle below, QR is a diameter and QT is tangent at Q. Suppose m QRS = 212°. Find the following.

(a) m/SQT =
(b) m/RQS =

Answers

Using the tangent theorem and the inscribed angle theorem, we have:

a. m∠SQT = 74°; b. m∠RQS = 16°.

What is the Tangent Theorem?

Angle formed at the point of tangency between the tangent and the radius of a circle = 90 degrees based on the tangent theorem.

What is the Inscribed Angle Theorem?

The inscribed angle theorem states that, measure of inscribed angle = 1/2(measure of intercepted arc).

a. Find m(SQT):

m∠RQT = 90° [tangent theorem]

m(QR) = 180° [semicircle]

m(QRS) = 212° [given]

m(RS) = m(QRS) - m(QR) = 212 - 180 = 32°

m∠RQS = 1/2[m(RS)] [inscribed angle theorem]

m∠RQS = 1/2(32)

m∠RQS = 16°

m∠SQT = m∠RQT - m∠RQS = 90 - 16

m∠SQT = 74°

b. m∠RQS = 1/2(32)

m∠RQS = 16°

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Find the lateral area for the prism.

36 in 2
54 in 2
27 in 2
81 in 2

Answers

Answer 27 in^2:

Step-by-step explanation:

The DePeppo children, Ann, Debbie, Damian, and Adam created a contest to test their athletic abilities and physical strength. They threw objects into the air to see who was the best.

These four equations depict the travel of the objects they threw.

y1=−16x2+62x+10

y2=−16x2+75x

y3=−16x2+38x+60

y4=−16x2+20x+10

1 The youngest launched his object from atop the playset.
2 Ann climbed a tall tree to launch her object.
3 Damian’s object went the highest.
4 Debbie’s object was in the air the shortest amount of time.
5 The arrow was shot by the oldest.
6 The golf ball went 87 feet into the air.
7 Ann shot her arrow higher than the tennis and bowling balls.
8 The bowling ball reached its maximum height just under 1 second.
9 Damian’s ball was in the air twice as long as the 2nd oldest sibling.
10 The object of the youngest brother was in the air for more than 4 seconds.

Answers

Answer:

y1: Ann

y2: Damian

y3: Adam

y4: Debbi

Step-by-step explanation:

Which equation would solve for the standard rate of pay?

Answers

Here is the basic salary-to-hourly formula for this method: First, divide the employee’s annual salary by 52 weeks (the number of weeks in a year). Divide the weekly wages by 40 hours.

write the ratio for the trig function indicated

Answers

Answer:

sin Θ = 11/19

Step-by-step explanation:

19 is the hypotenuse.

The legs are 11 and 4√15.

sin Θ = opp/hyp

For angle Θ, 11 is the opposite leg.

sin Θ = 11/19

Answer:

11/19 the other guys is correct

Step-by-step explanation:



A survey was taken of a random sampling of residents of New York City and Los Angeles to compare how many
of them own a car

Answers

Answer:

The survey represents quantitative data and there is greater percentage of LA residents who own cars than NYC residents who do.

What is the probability that a person who is above 35 years old has a hemoglobin level of 9 or above? a. 0.357 b. 0.313 c. 0.531 d. 0.343 e. 0.432

Answers

Using it's concept, it is found that the probability that a person who is above 35 years old has a hemoglobin level of 9 or above is of 0.247.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Researching the problem on the internet, we find a table, which says that there are 162 participants above 35 years old, and 40 have hemoglobin levels of 9 and above, hence the probability is given by:

p = 40/162 = 0.247.

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Answer:

Actually, its option C when the hemoglobin level is of 9 or above

Step-by-step explanation:

C. 0.531

Please help help …….. pls
…..

Answers

Answer:

1) 1/2or 50%
2) 38/50 or 76%
3) 38/60 or 63%
4) not sure tbh

Step-by-step explanation:

Rewrite x2 − 2x − 3 = 0 in the form (x − a)2 = b, where a and b are integers, to determine the a and b values.
A. a = 4 and b = 3
B. a = 3 and b = 2
C. a = 2 and b = 1
D. a = 1 and b = 4

Answers

Answer:

D. a=1 and b=4

Step-by-step explanation:

x^2-2x+(-2/2)^2 =3+(-2/2)^2

x^2-2x+(-1)^2=3+(-1)^2

x^2-2x +1 =4

(x-1)^2=4

Therefore a=1 and b=4

please help meeee, will mark brainliest!!!

Answers

Answer:

see below

Step-by-step explanation:

If it decreases at  10.5 % per year then 89.5 % remains

Value =      y =  35 300 ( .895)^x

value when x = 5.5      y =  $ 19177.92

Please help me thanks!

Answers

Answer:

The Surface area will double and the volume will triple.

Step-by-step explanation:

This is because the dimensions will cause the shape to double in surface area and triple in volume as surface area is in a two-dimensional space while volume is in a 3-dimensional plane.

Answer:

See below ~

Step-by-step explanation:

Subpart (h) :

⇒ By doubling the dimensions of a rectangular prism, the surface area becomes 2 times the original value

===========================================================

Subpart (i) :

⇒ By doubling the dimensions of a rectangular prism, the volume becomes 8 times the original value

can someone help me with this

Answers

For two matrices to be multiplicative inverse of each other, the product of the matrix must be equal to an identity matrix I.

Multiplicative inverse of a matrix

For two matrices to be multiplicative inverse of each other, the product of the matrix must be equal to an identity matrix I.

Since the 2 by 2 matrix is given, hence the resulting value of I must be a 2 by 2 matrix.

Multiply the row of the first matrix with the column of the second to have:

[tex]\left[\begin{array}{ccc}-3&7\\-2&5\\\end{array}\right] \left[\begin{array}{ccc}-5&-7\\-2&3\\\end{array}\right] =\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right][/tex]

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Find the surface area of the figure?

Answers

Step-by-step explanation:

the surface area consists of 6 individual areas :

front and back (both are equal)

left and right (both are equal)

top and bottom

front and back are trapezoids.

the area of a trapezoid is

(base 1 + base 2)/2 × h

the bases are the 2 parallel sides.

in our case the area of one trapezoid is

(5 + 19)/2 × 12.1 = 145.2 ft²

front and back together then are 290.4 ft².

left and right are 8×14 rectangles:

8×14 = 112 ft²

together they are 224 ft².

the bottom is a 5×8 rectangle :

5×8 = 40 ft²

the top is a 19×8 rectangle :

19×8 = 152 ft²

so, the total surface area is

290.4 + 224 + 40 + 152 = 706.4 ft²

What is the factored form of x²y³ - 2y³ - 2x² + 4?
y³ (x² − 2) +2 (-x² + 2)

Answers

Answer:The third option is correct

Step-by-step explanation:

Answer:

(y³ - 2) (x² - 2).

Step-by-step explanation:

x²y³ - 2y³ - 2x² + 4

= y³ (x² - 2) - 2(x² - 2)

(x² - 2) is common to both parts so we have:

(y³ - 2) (x² - 2)

PLEASE HELP MEEEEE ON THISSSS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ITS DUE VERY SOON SO PLEASE HJELPPPPIHFIUHGIU

IT IS QUESTIONS 3-8 AND I DON'T UNDERSTAND :((((((((((( (Not 7)))!!!!!!!!!!!

Answers

The computation of the word problem shows that the oranges that John will have in 12 weeks will be 70 oranges.

How to solve the word problem?

The word problem will be that John has 10 oranges and buys 5 more oranges every week. How many oranges will John have in 12 weeks?

The computation will be:

= 10 + 5x

where x= number of weeks.

= 10 + 5x

= 10 + 5(12)

= 10 + 60

= 70 oranges

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12.4 worksheet mathematics

Answers

Answer:

ok. Where is the Question

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