In the diagram which angles are vertical angles

Answer:

[tex]\mathbf{\iiint_E E \sqrt{x^2+y^2} \ dV =\dfrac{81 \ \pi}{80}}[/tex]

Step-by-step explanation:

The Cylindrical coordinates are:

x = rcosθ, y = rsinθ and z = z

From the question, on the xy-plane;

[tex]9 -16 (x^2 + y^2) = 0 \\ \\ 16 (x^2 + y^2) = 9 \\ \\ x^2+y^2 = \dfrac{9}{16}[/tex]

[tex]x^2+y^2 = (\dfrac{3}{4})^2[/tex]

where:

0 ≤ r ≤ [tex]\dfrac{3}{4}[/tex] and 0 ≤ θ ≤ 2π

∴

[tex]\iiint_E E \sqrt{x^2+y^2} \ dV = \int^{2 \pi}_{0} \int ^{\dfrac{3}{4}}_{0} \int ^{9-16r^2}_{0} \ r \times rdzdrd \theta[/tex]

[tex]\iiint_E E \sqrt{x^2+y^2} \ dV = \int^{2 \pi}_{0} \int ^{\dfrac{3}{4}}_{0} r^2 z|^{z= 9-16r^2}_{z=0} \ \ \ drd \theta[/tex]

[tex]\iiint_E E \sqrt{x^2+y^2} \ dV = \int^{2 \pi}_{0} \int ^{\dfrac{3}{4}}_{0} r^2 ( 9-16r^2}) \ drd \theta[/tex]

[tex]\iiint_E E \sqrt{x^2+y^2} \ dV = \int^{2 \pi}_{0} \int ^{\dfrac{3}{4}}_{0} ( 9r^2-16r^4}) \ drd \theta[/tex]

[tex]\iiint_E E \sqrt{x^2+y^2} \ dV = \int^{2 \pi}_{0} ( \dfrac{9r^3}{3}-\dfrac{16r^5}{5}})|^{\dfrac{3}{4}}_{0} \ drd \theta[/tex]

[tex]\iiint_E E \sqrt{x^2+y^2} \ dV = \int^{2 \pi}_{0} ( 3r^3}-\dfrac{16r^5}{5}})|^{\dfrac{3}{4}}_{0} \ drd \theta[/tex]

[tex]\iiint_E E \sqrt{x^2+y^2} \ dV = \int^{2 \pi}_{0} ( 3(\dfrac{3}{4})^3}-\dfrac{16(\dfrac{3}{4})^5}{5}}) d \theta[/tex]

[tex]\iiint_E E \sqrt{x^2+y^2} \ dV =( 3(\dfrac{3}{4})^3}-\dfrac{16(\dfrac{3}{4})^5}{5}}) \theta |^{2 \pi}_{0}[/tex]

[tex]\iiint_E E \sqrt{x^2+y^2} \ dV =( 3(\dfrac{3}{4})^3}-\dfrac{16(\dfrac{3}{4})^5}{5}})2 \pi[/tex]

[tex]\iiint_E E \sqrt{x^2+y^2} \ dV =(\dfrac{81}{64}}-\dfrac{243}{320}})2 \pi[/tex]

[tex]\iiint_E E \sqrt{x^2+y^2} \ dV =(\dfrac{81}{160}})2 \pi[/tex]

[tex]\mathbf{\iiint_E E \sqrt{x^2+y^2} \ dV =\dfrac{81 \ \pi}{80}}[/tex]

Answer:

400 feet per minute

Step-by-step explanation:

Because it's feet per minute, you'll divide 10,000 by 25

400 feet per minute

hope this is good enough

Answer:

The scale factor of water to flour is simply 3/5 or 3 to 5

Step-by-step explanation:

Here, we are interested in knowing the scale factor of water to flour.

To know this, we simply will rearrange the given equation;

w = 3/5f

Divide both side by f

w/f = 3/5

This shows that the scale factor of water to flour is 3 to 5 or simply 3/5

Points A′, B′, and D′ are shown, but the line of reflection and point C′ are not . coordinates of C from the graph = (4,2) If the coordinates of C'=(6,2) we can see that value of y isn't change with reflection therefore the line of reflection would be x= ordinate of C'+ ordinate of C divided by 2=6+4 divided by 2=10 divided by 2=5. Therefore, the line of reflection must be x=5.

Answer:

The answer is 333.

Step-by-step explanation:

Using the distributive property, you can do:

9 x 30 = 270

9 x 7 = 63

270 + 63 = 233.

Then, just check with a calculator. It's correct.

Hope this helps!

Answer: 333

Step-by-step explanation:

9x(30+7) = (9x30) + (9x7)

270+63=333

In this expression, the constant would be 12.

A constant is simply a term that has no variable next to it.

Answer:

12x - 6 ≤ - 18

Step-by-step explanation:

We will call "a number" x so

Twelve times a number would be:

12x

Then minus 6

12x - 6

Now we add the less than or equal to sign.

12x - 6 ≤

This is equal to negative eighteen, so:

12x - 6 ≤ - 18

As a bonus we can also solve for x.

12x - 6 = - 18    Add 6 to each side.

12x - 6 + 6 = -18 + 6

12x = -18 + 6

12x = -12  Divide each side by 12

12x/12 = -12/12

x = -12/12

x = -1

So we can say when x ≤ -1 Then 12x - 6 ≤ -18

Answer:

i think it is 119

Answer:

Ф = 66.2°

Step-by-step explanation:

The formula for work as

W = Fd cos⁡(Ф)

cos⁡(Ф) = W / Fd

Ф = cos^(-1)⁡〖W/Fd

Ф = cos^(-1)⁡〖110/33(8.25) 〗

Ф = 66.2°

Answer:

Ф = 66.2°

Step-by-step explanation:

Step-by-step explanation:

If two variables x and y are independent, then:

P(x and y) = P(x) P(y)

Or, in terms of conditional probability:

P(x given y) = P(x)

From part 3, 27.3% of the students are sophomores, 57.8% are juniors, and 14.8% are seniors.

From part 4, 31.6% of procrastinators are sophomores, 53.6% are juniors, and 14.8% are seniors.

Since the percent of procrastinators that are sophmores is not the same as the percent of students that are sophmores, the variables are not independent, which means there is a relationship between academic level and whether students procrastinate.

Answer:

I think it's 22

Step-by-step explanation:

because it's inverse operations all you do is remove the negative and the barackets

Answer:

12 inches

Step-by-step explanation:

PLEASE GIVE BRAINLIST

equal

quotation marks

HOPE THIS HELPED

Answer:

I need that answer too

Step-by-step explanation:

F = n/4 + 37, for F = 50

50 = n/4 + 37

Subtract 37 from both sides

13 = n/4

Multiply both sides by 4

52 = n

Answer:

ion know

Step-by-step explanation:

Answer:

6/1 or 6

Step-by-step explanation:

This is the answer because:

1) The reciprocal of a number is the fraction flipped upside down. Basically, when the numerator becomes the denominator and the denominator becomes the numerator.

2) So when you flip the fraction, you will get 6/1 which equals 6

Hope this helps!

Answer:

26

Step-by-step explanation:

For example, x = 13. 1 hour is 2 inches of rain. So 13 x 2 = 26.

Answer:

x- intercept is 6 y- intercept is -18

Step-by-step explanation:

Just use the graph, this graph is hard to get the answer but you just have to estimate.

Answer:

10 miles per second

Step-by-step explanation:

if 1/10 seconds is equal to one mile, then 10/10 (1) second would be equal to 10 miles (per second).

The speed of Atlas V Rocket was 10 mile per second.

Here,

The distance travel by Atlas V Rocket was = 1 mile

Time taken = 1/10 second

We have to find the speed of Atlas V Rocket.

What is Speed?

Speed of an object is calculated as;

Speed = Distance/Time

Now,

The distance travel by Atlas V Rocket = 1 mile

Time taken = 1/10 second

Hence, The speed of Atlas V Rocket = [tex]\frac{1}{\frac{1}{10} }[/tex] = [tex]10[/tex]

Therefore, The speed of Atlas V Rocket was 10 mile per second.

Learn more about the speed visit:

https://brainly.com/question/24571540

#SPJ2

Answer:

Brian is planning on donating $86.79.

Step-by-step explanation:

The first step is to write 13% in decimal form. We then multiply, .13 x 667.63=$86.79

Answer: y=2−4x

Step-by-step explanation:

When solving for y in this problem(4x+y=2) we need to get y by itself in the equation. To do this we need to move 4x over to the right side of the equation. To do this we subtract, 4x from both sides of the equation.

Answer:

Step-by-step explanation:

Below the sea level should be mentioned by negative value

So, It is  =  - 4.5

Answer:

A) 15x +79  = z

B) 15x +79 + 5x + 61 = 180

20x + 140 = 180

20x = 40

x = 2

Then using equation A)

A) 15 * 2 + 79 = z

30 + 79 =z

z = 109

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

35% × 80 =

(35 ÷ 100) × 80 =

(35 × 80) ÷ 100 =

2,800 ÷ 100 =

28

I hope this helps :)

Answer:

You would have to add two different percents to get to 35. You would need to add 25% and 10%. So, I would divided 80 by 4, which gets me 20, and divided 80 by 10, which gets me 8. If you add 20 and 8 together, that gets you 28. Your answer is 28.

Not sample answer, but correct

Answer:

6

Step-by-step explanation:

3(4-2) distribute 3

12-6

6

Answer: 3(2×+5)-(4×9) = -15

Step-by-step explanation:

Answer:

a) 6x³ − 5x² − 39x + 35

b) no

Step-by-step explanation:

(2x − 5) (3x² + 5x − 7)

Distribute:

3x² (2x − 5) + 5x (2x − 5) − 7 (2x − 5)

Distribute again:

6x³ − 15x² + 10x² − 25x − 14x + 35

Combine like terms:

6x³ − 5x² − 39x + 35

5x − 2 is the opposite of 2x − 5, so you would get the negative of the answer from part (a).