What is the solid formed when rotated around the side length of 4?
O cylinder with a height of 3 units and a radius of 4 units
O cone with a height of 4 units and a radius of 3 units
cylinder with a height of 3 units and a radius of 5 units
O cone with a height of 5 units and a radius of 4 units
Find the volumes and surface areas of the solids. Give your answers in terms of .
Surface Area: square units
Volume: cubic units

What Is The Solid Formed When Rotated Around The Side Length Of 4?O Cylinder With A Height Of 3 Units

Answers

Answer 1

Answer: B: cone with a height of 4 units and a radius of 3 units

Step-by-step explanation:

Surface Area: 9pi + 15pi = 24pi square units

Volume: 9pi x 4 x 1/3 = 12pi cubic units


Related Questions

Compared with the graph of the parent function,
which equation shows a vertical stretch by a factor
of 6, a shift of 7 units right, and a reflection over the
X-axis?

Answers

Step-by-step explanation:

as I don't see any equations or graphs here I can only answer in general :

f(x) is the patent function.

g(x) is the transformed function.

g(x) = -6f(x-7)

the "-" reflects the curve over the x-axis (what was positive is now negative and vice versa).

the factor 6 stretches the curve up and down by the factor 6 (everything is now 6 times larger or smaller).

and the argument "x-7" relates x (for the new function) with "x-7", meaning that now things are happening at x, that were originally happening at x-7, so they happen now "later" (more to the right on the x-axis) than before - hence a shift to the right.

Answer:

its D

Step-by-step explanation:

took the test :)

A whale starts at -9 m and changes 11 m

Answers

When the whale starts at -9 m and changes 11 m, the new position will be 2m.

How to illustrate the expression?

It should be noted that an expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

In this case, the whale starts at -9 m and changes 11 m. The new position will be:

= - 9 + 11

= 2 meters.

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Complete question

A whale starts at -9 m and changes 11 m. What is the new position?

Diane, Sam, and Boris served a total of 54 orders Monday at the school cafeteria. Diane served 6 fewer orders than Sam. Boris served 2 times as
many orders as Sam. How many orders did they each serve?
Number of orders Diane served:
Number of orders Sam served:
Number of orders Boris served:

Answers

Answer:

Let's denote:

- The number of orders Diane served as `D`

- The number of orders Sam served as `S`

- The number of orders Boris served as `B`

From the problem, we know:

1. `D + S + B = 54` (the total number of orders they served)

2. `D = S - 6` (Diane served 6 fewer orders than Sam)

3. `B = 2S` (Boris served 2 times as many orders as Sam)

We can substitute equations 2 and 3 into equation 1 to solve for the variables:

Substitute `D` and `B` in equation 1:

`(S - 6) + S + 2S = 54`

Combine like terms:

`4S - 6 = 54`

Add 6 to both sides:

`4S = 60`

Divide by 4:

`S = 15`

Now that we know `S = 15`, we can find `D` and `B` by substituting `S` into equations 2 and 3:

`D = S - 6 = 15 - 6 = 9`

`B = 2S = 2 * 15 = 30`

So, Diane served 9 orders, Sam served 15 orders, and Boris served 30 orders.

-7(1+9a) have no idea how to do this

Answers

Answer:

-7-63a

Step-by-step explanation:

-7(1 + 9a)

(use the distributive property of multiplication to simplify)


-7-63a

(5x7) + (5x9) = 5x (7+?

Answers

Answer:

9

Step-by-step explanation:

this is because it is 9 and it could be 9

Answer:

First let's find what (5x7) + (5x9) equals;

(5x7) + (5x9)

35 + 45

= 80

Now 80 has to equal to;

5 x (7 + y) ( where 'y' is our unknown number)

So we set up the equation:-

80 = 5 x (7 + y)

80 = 35 + 5y

-35      -35

45 = 5y

/5    /5

9 = y

Let's double check:

80 = 5 x (7 + y)

80 = 5 x (7 + 9)

80 = 35 + 45

80 = 80, we are correct.

I need help solving this

I need help solving this

Answers

56.5 cm²

Given

Radius : 6 cm

To find

Area of the semicircle

we know that

Area of a semicircle = πr²/2

Inserting the value of radius

Area of the given semicircle = (3.14 x 6cm x 6cm)/2 Area of the given semicircle = 113.04cm²/2 Area of the given semicircle = 56.5 cm²

Find the quotient of z₁ by z2. Express your answer in
trigonometric
form.
² - 3 (0 (4) + (*))
Z₁ cos
+/sin
Z₂
²2 = 7 (cos(377)+
COS
8
O A. 7 (cos (577) + i sin (5/77))
8
B.
21(cos(577)+isin (577))
8
OC. 21 cos
21(cos(-7)+ i sin(-77))
O D. 7 (cos(-7) + + sin(-7))
i
+/sin
37T
8

Find the quotient of z by z2. Express your answer intrigonometricform. - 3 (0 (4) + (*))Z cos+/sinZ2

Answers

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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the function f and g are defined follows. f(x)= x+6/x^2-12x+36 g(x) = x+7/x^2-49 for each function, find the domain. write each answer as an interval or union of intervals​

Answers

Domain of f(x) is {x | x ≠ 6} and Domain of g(x) is {x | x ≠ +7 and x ≠ +7}.

How to find the domain of a function?

The domain of a function is the set of all input values that make the function possible.

Now, for f(x) = (x + 6)/(x² - 12x + 36)

To find the domain, we equate the denominator to zero to find the numbers that can't be a domain. Thus;

x² - 12x + 36 = 0

Solving this using quadratic formula gives; x = 6. Thus, domain of f(x) is;

Domain = {x | x ≠ 6}

Now, for g(x) = (x + 7)/(x² - 49)

To find the domain, we equate the denominator to zero to find the numbers that can't be a domain. Thus;

x² - 49 = 0

Solving this using quadratic formula gives; x = +7 or -7. Thus, domain of g(x) is; Domain = {x | x ≠ +7 and x ≠ +7}

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How effective is it to go to your manager to request others take on some activities?

Answers

The effectiveness depends on your score of working.

How effective is it to go to your manager to request others take on some activities?

What is certainty and uncertainty?

Certainty implies, indeed, that favorable things will happen and uncertainty  implies favorable things won't happen.

If we go to our manager, requesting that others should take some activities. It certainly depends upon the our score in the office. if we are hard working than in situations manager could approve our request and if our score is low or we are not a hard worker than result may no be in our favor.

Thus, the effectiveness depends on your score of working.

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whats equivalent to 34+16

Answers

Answer:

2(17)+8

Step-by-step explanation:

answer: 2(17+8)

explanation: 17+8=  25

25 times 2= 50

34+16=50

:)

Refer to image for my question

Refer to image for my question

Answers

Answer:I think it Is the second

Step-by-step explanation:

Radianes a grados 5 pi sobre 3

Answers

Answer:

5pi/3x180grados/piradianes

900/3=300 grados

Step-by-step explanation:

A construction company will be penalized each day of delay in construction for bridge. The penalty will be $4000 for the first day and will increase by $1000 for each following day. Let f(n) be the amount penalized for the nth day. How much will the company owe if they are delayed 12 days?

Answers

Answer:

15,000 total, 4000 day 1, then 1000 for day 2 thru 12.

Your closet has 5 shirts for every 2 sweaters. In total, your closet has 30 shirts. How many sweaters are in your closet?

Answers

Answer:

ratio 5:2 represents shirts to sweaters

30:x = 5:2 * ?:?

30:x = 5:2 * 6:6 = 30:12

So 12 sweaters

Step-by-step explanation:

Answer:

Hi! Your answer here is 12 - there are 12 sweaters in your closet. The clearest way to look at this problem is to make a table. On one side, you'll have the sweaters, and on the other, you'll have the shirts. It looks like this:

2 - 5

4 - 10

6 - 15

8 - 20

10 - 25

12 - 30

As the number of sweaters increases by 2, the number of shirts increases by 5. Once you've reached 30 shirts in the second column, the number in the first column will represent how many sweaters there are in your closet - in this case, there are 12.

Evaluate the function f(x) =-x/2 -7x -2 find f(-9)

Answers

Answer:

\(f(-9)=\frac{131}{2}\)

Step-by-step explanation:

In order to evaluate a function at a given x-value, plug in that value into the actual function

\(f(x)=-\frac{x}{2} -7x-2\\\\f(-9)=-\frac{9}{2} -7(-9)-2\\\\f(-9) = \frac{131}{2}\)

find the perimeter of OQR

find the perimeter of OQR

Answers

The perimeter of the triangle OQR is 68 cm

How to determine the perimeter of the triangle OQR

From the question, we have the following parameters that can be used in our computation:

Circles with the centers O, Q and R

When these centers are connected, the connection forms a triangle

The triangle OQR

Also from the question, we have the following values of radii

Radii = 8 cm, 11 cm and 15 cm

The perimeter of the triangle OQR is calculated as

Perimeter = Twice the sum of the radii

Substitute the known values in the above equation, so, we have the following representation

Perimeter = 2 *(8 + 11 + 15)

Evaluate the sum

Perimeter = 2 * 34

Evaluate the products

Perimeter = 68

Hence, the perimeter is 68 cm

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If I was getting food stamps and I needed three months proof of income and I had to have a gross of 2495 and net of 1920 what would I need to put for the three months income amount?

Answers

Answer:

26

Step-by-step explanation:

10 + 15

Answer:

Step-by-step explanation:

yes you would. they are very strict with food stamps or EBT card they will still ask for the 3 months for  so put in your 3 months and you should be fine.

 

Astronomers believe that the radius of a variable star increases and decreases with the brightness of the star. Suppose a variable star has an average radius of 20 million miles and changes by a maximum of 1.6 million miles from this average during a single pulsation, and that the time between periods of maximum brightness is 5.2 days. Find an equation that describes the radius of this star as a function of time. (Let R be the radius in millions of miles and let t be the time in days. Assume that when t = 0 the radius is 20 million miles and increasing.) R(t) =

Answers

Let R be the radius in millions of miles and let t be the time in days. Assume that when t = 0 the radius is 20 million miles and increasing then  R(t) = 20 + 1.6sin(2πt/5.2).

The equation for a sine wave is y = A sin (Bx + C) where A is the amplitude, B is the frequency and C is the phase shift.

In this case, the amplitude is 1.6.

Since the radius changes by a maximum of 1.6 million miles.

The frequency is 2π/5.2 (one full cycle of the sine wave in 5.2 days)

The phase shift is 0, since when t = 0 the radius is increasing.

The equation then becomes R(t) = 20 + 1.6sin(2πt/5.2)

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What is the area of a rectangle with a length of 2 1/4 inches and a width of 2 3/4 inches? 714 in² 6316 in² 4316 in² 3332 in²

Answers

Answer:

6 3/16 in²

Step-by-step explanation:

Area of rectangle = width x length

Given:

width = 2 3/4 in

length = 2 1/4 in

⇒ area = 2 3/4 × 2 1/4 = 11/4 × 9/4 = 99/16 = 6 3/16 in²

Simplify to a single trig function or constant with no fractions.

Simplify to a single trig function or constant with no fractions.

Answers

We can simplify cosec(t)tant(t) to sec(t). A trigonometric function is a mathematical function that relates the angles of a triangle to the ratios of its sides.

The most common trigonometric functions are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).

To simplify the expression cosec(t)tant(t), we need to use the trigonometric identity:

cosec(t) = 1/sin(t)

tant(t) = sin(t)/cos(t)

Substituting these expressions into the original expression, we get:

cosec(t)tant(t) = (1/sin(t))(sin(t)/cos(t))

The sin(t) term in the numerator and denominator cancel out, leaving:

cosec(t)tant(t) = 1/cos(t)

Recalling the definition of secant, sec(t) = 1/cos(t), we can express the simplified expression as:

cosec(t)tant(t) = 1/sec(t)

Therefore, we can simplify cosec(t)tant(t) to sec(t).

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Line a is parallel to line b. If the measure of <7 is 114 what is the measure of <4?

Line a is parallel to line b. If the measure of &lt;7 is 114 what is the measure of &lt;4?

Answers

Using opposite by the same vertex and supplementary angles, it is found that the measure of angle 4 is of 66º.

What are opposite by the same vertex and supplementary angles?When two parallel lines are cut by a transversal, angles that are opposite in a vertex are congruent, that is, they have the same measure.When two angles are supplementary, the sum of their measures is of 180º.

In this problem, angles 5 and 7 are opposite by the same vertex, hence:

m<7 = m<5 = 114º.

Angles 4 and 5 are supplementary, hence:

m<4 + m<5 = 180º.

m<4 = 66º.

The measure of angle 4 is of 66º.

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Diondra wants to know the most popular movie of this year but is unsure of the best way to determine this answer. Which of the following questions would Diondra ask that does NOT allow for variability?
Which movie did her best friend like the most?


How many awards did each movie win?

What is the total dollar amount that each movie made from ticket sales?


How many weeks did each movie play in the theater?

Answers

The question that Diondra would ask that does not allow for variability is A. Which movie did her best friend like the most?

How does this question not show variability ?

The other three questions ("How many awards did each movie win?", "What is the total dollar amount that each movie made from ticket sales?", and "How many weeks did each movie play in the theater?") all offer metrics by which a movie's popularity could be measured, and those measurements could vary from movie to movie.

However, the question about her best friend's favorite movie depends solely on the opinion of one individual, not a variable measure, and therefore doesn't allow for variability.

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X=Y+Y xy So, x=X-Y/Yy True False ​

X=Y+Y xy So, x=X-Y/Yy True False

Answers

The statement X = Y + Yxy is True.

The equation given is:

X = Y + Yxy

To find x = (X- Y) / Yy we have to substitute the value of x in X = Y + Yxy as

X = Y + Yxy

X = Y + Yy (X-Y) / Yy

To solve for x, we can rearrange the equation as:
X = Y +  X - Y

X = X

Thus, the statement is True.

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Help with Trig and special right triangles (PIC INCLUDED)

Help with Trig and special right triangles (PIC INCLUDED)

Answers

Answer:

sin a = cos C

sin C = AB/AC

tan a = BC/AB

Enter the number that belongs in the green box

Enter the number that belongs in the green box

Answers

Check the picture below.

\(\textit{Law of Cosines}\\\\ \cfrac{a^2+b^2-c^2}{2ab}=\cos(C)\implies \cos^{-1}\left(\cfrac{a^2+b^2-c^2}{2ab}\right)=\measuredangle C \\\\[-0.35em] ~\dotfill\\\\ \cos^{-1}\left(\cfrac{10^2+4^2-7^2}{2(10)(4)}\right)=\measuredangle A \implies \cos^{-1}\left(\cfrac{ 67 }{ 80 }\right)=\measuredangle A \\\\\\ \cos^{-1}(0.8375) = \measuredangle A \implies 33.12^o \approx \measuredangle A\)

Make sure your calculator is in Degree mode.

Enter the number that belongs in the green box

round to the place value of 123,499 the 4 in 123,499

Answers

Answer:

123,500

Step-by-step explanation:

That is because 499 is closer to 500 than 400

0.3 =
simplified fractions with 3 repeating

Answers

Answer:

3/10 Is the answer

Step-by-step explanation:

Jorge bought a crate of floor tiles for $95.94. The crate had 6 boxes of floor tiles. Each box contained 20 floor tiles.
Write and solve an equation to determine the cost per box, b. Then write and solve a second equation to determine the cost per tile, t, to the nearest cent. Show your work.

HELP!!

Answers

The solution is:

⇒ 6b = 95.94   (equation to determine cost of one box)

cost of one box 'b' = $`15.99

⇒ 12t = 95.94   (equation to determine cost of per tile)

cost of one tile t = $0.7995.

Given :

Jorge bought a crate of floor tiles for $95.94.

The crate had 6 boxes of floor tiles.

Each box contained 20 floor tiles .

To Find :

Write and solve equation to determine the cost per box'b'.

Write and solve a second equation to determine the cost per tile't'

Solution :

Cost of one box = b

There are 6 boxes

So, cost of 6 boxes = $  6b

Since Jorge bought 1 crate( = 6 boxes) of cost $95.94

⇒     (equation to determine cost of one box)

⇒6b = 95.94

⇒b =15.99

Thus cost of one box = $`15.99

Since 1 box 20 floor tiles

So, 6 boxes (=1 crate) contain tiles = 6*20 = 120 tiles

We are given that cost of 1 crate( = 6 boxes = 120 tiles) is $95.94

Cost of one tile = t

Cost of 120 tiles = $120t

⇒ (equation to determine cost of per tile)

⇒12t = 95.94

⇒t = 0.7995.

Thus cost of one tile t = $0.7995.

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what is 90x40+50-20x45=20-15(34)-(20)+

Answers

Answer:

2750=-510

Step-by-step explanation:

hope this helps ._.

PLEASE HELP FAST!! IT IS URGENT!! The owner of a fitness watch would like to determine if the mean number of steps he takes per day differs from the recommended 10,000 steps per day, using a = 0.01. He selects a random sample of 50 days with the intention of testing the hypotheses Hop-10,000 steps versus Hp 10,000 steps where the true mean number of steps taken per day. Which of the following values of the alternative hypothesis would yield the greatest power to reject the null hypothesis?
u=9,000
u=9,500
u = 10,000
u = 10,500​

Answers

Answer:

The correct answer is: u = 10,500. When the value of the alternative hypothesis is greater than that of the null hypothesis, the power of the test will be increased, so a value of u = 10,500 would yield the greatest power to reject the null hypothesis.

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