Solve for x. Geometry problem.

Answer:

The volume of the solid is 243[tex]\sqrt{2} \ \pi[/tex]

Step-by-step explanation:

From the information given:

BY applying sphere coordinates:

0 ≤ x² + y² + z² ≤ 81

0  ≤ ρ²   ≤   81

0  ≤ ρ   ≤  9

The intersection that takes place in the sphere and the cone is:

[tex]x^2 +y^2 ( \sqrt{x^2 +y^2 })^2 = 81[/tex]

[tex]2(x^2 + y^2) =81[/tex]

[tex]x^2 +y^2 = \dfrac{81}{2}[/tex]

Thus; the region bounded is: 0 ≤ θ ≤ 2π

This implies that:

[tex]z = \sqrt{x^2+y^2}[/tex]

ρcosФ = ρsinФ

tanФ = 1

Ф = π/4

Similarly; in the X-Y plane;

z = 0

ρcosФ = 0

cosФ = 0

Ф = π/2

So here; [tex]\dfrac{\pi}{4} \leq \phi \le \dfrac{\pi}{2}[/tex]

Thus, volume: [tex]V = \iiint_E \ d V = \int \limits^{\pi/2}_{\pi/4} \int \limits ^{2\pi}_{0} \int \limits^9_0 \rho ^2 \ sin \phi \ d\rho \ d \theta \ d \phi[/tex]

[tex]V = \int \limits^{\pi/2}_{\pi/4} \ sin \phi \ d \phi \int \limits ^{2\pi}_{0} d \theta \int \limits^9_0 \rho ^2 d\rho[/tex]

[tex]V = \bigg [-cos \phi \bigg]^{\pi/2}_{\pi/4} \bigg [\theta \bigg]^{2 \pi}_{0} \bigg [\dfrac{\rho^3}{3} \bigg ]^{9}_{0}[/tex]

[tex]V = [ -0+ \dfrac{1}{\sqrt{2}}][2 \pi -0] [\dfrac{9^3}{3}- 0 ][/tex]

V = 243[tex]\sqrt{2} \ \pi[/tex]

Answer:

si

Step-by-step explanation:

la longitud mayor es menor que la suma de las otras 2 longitudes que es 10

Answer:

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).

Step-by-step explanation:

hope its right

Answer:A

Step-by-step explanation:

The triangle ΔABC is rotated 180° about the origin, then the ΔA'B'C' is obtained.

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

Triangle ABC is congruent to Triangle A’B’C’.

ΔABC ≅ ΔA'B'C'

The triangle ΔABC is rotated 180° about the origin, then the ΔA'B'C' is obtained.

More about the transformation of a point link is given below.

https://brainly.com/question/27224339

#SPJ2

Answer:

Step-by-step explanation:

To find it we will divide:

The first number is 10^10 times larger

Answer:

  1e+16 and 1000000 multiply it then divide...

Step-by-step explanation:

Answer:

3080mm = 3.08 meters

3080mm = 308 centimeters

Step-by-step explanation:

1 meter = 1000 mm

3080mm = 3080/1000 = 3.08 meters

1 centimeter = 10 mm

3080mm = 3080/10 = 308 centimeters

Answer:

Hola, me no Espanol.

Step-by-step explanation:

Answer:

You need to have an attachment or question for us to help you. :3

Step-by-step explanation:

Answer:

Equal???

Step-by-step explanation:

Answer:

3 roots

Step-by-step explanation:

The roots of a function is the x intercepts.

x=-1

x=3

x=4

Answer:

the answer is hl

Step-by-step explanation:

its d

Answer:

the d

Step-by-step explanation:

HL

Answer:14

Step-by-step explanation:

14

Answer:

$48

Step-by-step explanation:

Multiply 200 by 0.08 or 8%. That is how much interest he will earn in a year. Then multiply the product by 3.

Answer:

I think its B cause i was solving it and my answer came close to letter B

Step-by-step explanation:

i tried

14.5% = 0.145

Step-by-step explanation:

The term 'percent' (%) actually means per 100. So when you say 14.5% it means 14.5 per 100. So when you put that into an equation it actually means:

So when you solve it, 14.5% is actually 0.145 and not 14.5.

Your friend is then incorrect because:

14.5% ≠ 14.5

Answer:

Your friend would be correct. 14.5% divided by 100 is equal to 0.145. When you divide 29/200 you also get 0.145, if you multiply it by 100 you get 14.5%.

Answer:

14

Step-by-step explanation:

f(2)=4(2)+2

f(2)=10

g(3)=2(3)-2

g(3)=6-2

g(3)=4

10+4=14

Answer:

17

Step-by-step explanation:

f(x) = 4x + 2

g(x) = x² - 2

f(2) = 4(2) + 2 = 10

g(3) = 3² - 2 = 7

10 + 7 = 17

Answer:

9:5

Step-by-step explanation:

Answer:

1400

Step-by-step explanation:

Answer:

7 pizzas

Step-by-step explanation

First we subtract 58-25=33

Then we subtract 5-2=3

Now, we have 33 over 3 so we divide them and we get 11

So, that means that each pizza costs $11 and the fee that they charge for each pizza is 3.

So if the customer pays $80 that means that he bought 7 pizzas and he payed $3 fee.

Answer:

C=84∘, a=2, c=7

Step-by-step explanation:

Answer:

Sorry, but i need to do my homework as well. The answer is: a=4, b=2, c=82

Answer:

each eraser cost $4

Step-by-step explanation:

Answer:

$12

Step-by-step explanation:

Answer:

slope-6

y-intercept-(0,-3)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

For edge

Answer:

correct C on e2021

Step-by-step explanation:

Answer:

33 1/3

Step-by-step explanation:

7/21=1/3

1/3*100=100/3

100/3=33 1/3

Answer:

h(-3)=-1

Step-by-step explanation:

Replace all x in h(x)= -3x-10 by -3:

h(-3)=-3(-3)-10

Now multiply -3 and -3:

h(-3)=9-10

Simplify 9 and -10 (aka add 9 and -10 together):

h(-3)=-1

Answer: h(-3)=-1

Hope this helps!

Answer:

-1

Step-by-step explanation:

If h(x)= -3x-10 and we want to solve for h(-3) then we have to plug in -3 for all x variables. h(-3)= -3(-3)-10, then solve using PEMDAS.

First multiple h(-3)= 9-10, multiple -3*-3 to get 9.

Then subtract, h(-3)=-1

Answer:

The probability is [tex]P(X = 0) =  0.6997[/tex]

Step-by-step explanation:

From the question we are told that

   The  mean is  [tex]\mu = 2.8[/tex]

Generally the Poisson distribution constant  [tex]\lambda[/tex] is mathematically represented as

        [tex]\lambda = \frac{1}{\mu }[/tex]

=>     [tex]\lambda = \frac{1}{2.8 }[/tex]

=>     [tex]\lambda = 0.3571[/tex]

Generally the probability distribution for Poisson distribution is mathematically represented as  

     [tex]P(X = x) =  \frac{(\lambda t)^x e^{-t \lambda}}{x!}[/tex]

Here  t =  1 day

Generally the probability  that no babies are born today is mathematically represented as

       [tex]P(X = 0) =  \frac{(0.3571 * 1 )^0 e^{-1 * 0.3571}}{0!}[/tex]

=>    [tex]P(X = 0) =  0.6997[/tex]

Answer:

10.650887574

Step-by-step explanation:

Hope this helps. Good luck!

Answer: 10.6508

If you get the app Socratic, it tells you the answers from all different websites

Answer:

D

Step-by-step explanation:

(0, -3), (6,1) these are the points

Using the slope formula:

1+3/6-0= 4/6=2/3

Thus, it is D