A cylinder with radius 333 units is shown below. Its volume is 86 cubic units.

Find the height of the cylinder.

Use 3.143.143, point, 14 for \piπpi and round your final answer to the nearest hundredth.

Answer:

42

Step-by-step explanation:

Since the scale factor is , we know that the bigger shape went to the smaller shape.

If we know that the smaller shape's side, 12, is  of the bigger one, we can make the equation

.

To solve for x, we can divide both sides by  .

We can multiply by the reciprocal:

Hope this helped!

Step-by-step explanation:

Since bx can be defined for all real numbers r, the domain of an exponential function is all real numbers. The range of bx is all real numbers greater than 0. ... If b > 1, then f is an increasing function. I.e. f(x) increases in value as x increases.

Answer:

21 people completed the assignment by the due date, hope this helps !!!

Step-by-step explanation:

70% of 30 is 21 according to my calculator lol :D

brainliest would be swag ?

Answer:

https://tex.z-dn.net/?f=(x%2B10)%5E%7B2%7D%20

Step-by-step explanation:

Answer:

Yes, it lies on the circle.

Step-by-step explanation:

The actual question is:

"Prove or disprove that the point (√51, 7) lies on the circle centered at the origin and containing the point (6, 8)."

The equation of a circle of radius R and centered at the point (a, b) is:

(x - a)^2 + (y - b)^2  = R^2

In this case we have a circle centered at the origin, then: (a, b) = (0, 0)

And the equation becomes:

(x - 0)^2 + (y  - 0)^2 = R^2

x^2 + y^2 = R^2

We also know that this circle contains the point (6, 8), then we can find the radius of our circle if we replace x by 6 and y by 8.

6^2 + 8^2 = R^2

100 = R^2

√100 = 10 = R

Then the circle equation is:

x^2 + y^2 = 10^2

Now let's see if the point (√51, 7) is a solution of the above equation:

(√51)^2 + ( 7)^2 = 10^2 = 100

51 + 49 = 100

100 = 100

This is true, so we can conclude that (√51, 7) is a solution of the circle equation, so the point lies on the defined circle.

Answer:

Just put in the values in the equation for example 4(1)-5<7 and solve it if the eqution is true at the end than that the right answer

Step-by-step explanation:

Answer:

x = 2

x < 2

x < 3

Step-by-step explanation:

2x + 5 = 9

Since there is an addition sign in front of 5, you must do the opposite: subtraction. Subtract 5 from 9.

9 - 5 = 4.

Lastly, divide the difference by the number in front of x (2).

2x = 4

4 ÷ 2 = 2

x = 2

--------------------------------------------------------------------------------------------------------------

2x + 5 < 9

Again, subtract 5 from 9.

9 - 5 = 4

Lastly, divide the difference by the number in front of the x (2).

2x = 4

4 ÷ 2 = 2

x < 2

--------------------------------------------------------------------------------------------------------------

4x - 5 < 7

Since there is a subtraction sign in front of the 5, you must do the opposite: addition. Add 5 to 7.

5 + 7 = 12

Lastly, divide the sum by the number in front of the x (4).

4x = 12.

12 ÷ 4 = 3

x < 3

Answer:

3/4

Step-by-step explanation:

Slope formula

Answer:

4/3

Step-by-step explanation:

Formula:2 pi R

R=5

5*2=10

3.14*10=34.1

The circumfrence is 34.1

34.1

Answer: look at image below. it shows you the steps

Step-by-step explanation:

Hope this helped :)

High tide at 6:00 a.m. and 6:00 p.m., depth 23 ft low tide at 12:00 noon and 12:00 midnight, depth 5 ft. Therefore, option B is the correct answer.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given trigonometric function is y=23-5cos(πt/6).

The given equation is y=23-5cos(πt/6), where y is the water depth in feet and t is the time in hours.

To find the high and low tide depths, we need to find the maximum and minimum values of y.

The maximum value of y is obtained when cos(πt/6) = -1, which gives y = 23 - 5(-1) = 28 ft.

The minimum value of y is obtained when cos(πt/6) = 1, which gives y = 23 - 5(1) = 18 ft.

To find the time when high and low tide occur, we need to find the values of t when cos(πt/6) equals -1 and 1 respectively.

When cos(πt/6) = -1, we get πt/6 = 3π/2, which gives t = 12 hours.

When cos(πt/6) = 1, we get πt/6 = 0, which gives t = 0 hours.

Since t = 0 represents 12:00 midnight, we can conclude that high tide will occur at 6:00 a.m. and 6:00 p.m., with a depth of 28 ft, and low tide will occur at 12:00 noon and 12:00 midnight, with a depth of 18 ft.

Therefore, option B is the correct answer.

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Answer:

See Below.

Step-by-step explanation:

We are given two intersecting circles with centers M and N.

And we want to prove that: I) PQ ⊥ MN and that II) PR = RQ.

Since MP and MQ are radii of the same circle:

[tex]MP\cong MQ[/tex]

Likewise, since NP and NQ are radii of the same circle:

[tex]NP\cong NQ[/tex]

And by the Reflexive Property:

[tex]PQ\cong PQ[/tex]

Therefore, by SSS Congruence:

[tex]\Delta MPN\cong \Delta MQN[/tex]

By CPCTC:

[tex]\displaystyle \angle PMN\cong \angle QMN[/tex]

And by the Reflexive Property:

[tex]MR\cong MR[/tex]

And since they are the radii of the same circle:

[tex]MP\cong MQ[/tex]

Therefore, by SAS Congruence:

[tex]\Delta MPR\cong \Delta MQR[/tex]

Therefore, by CPCTC:

[tex]PR\cong RQ[/tex]

Note that PQ is a chord in Circle M.

Therefore:

[tex]\text{Segment $MN$ bisects chord $PQ$}[/tex]

In a circle, a segment that passes through the center of the circle that is perpendicular to a chord also bisects the chord.

And conversely, a segment that passes through the center of a circle that bisects a chord in the circle is also perpendicular to the chord.

So:

[tex]\displaystyle PQ\perp MN[/tex]

Answer:

Step-by-step explanation:

First step is to prove triangle MPN ad MQN are congruent.

MP=MQ, radius of circle M

NP=NQ, radius of circle N

we have two S in SAS  and for A, we need to prove angle MPN = MQN

consider triangle QMP, it is isosceles so angle MPQ = MQP

consider triangle QNP; it is isosceles so angle  QPN = PQN

combining the two above

angle MPN = MPQ+QPN = MQP+PQN = MQN

By SAS, triangle MPN and MQN are congruent

By symmetry, MN is perpendicular to PQ

It also disects PQ so PR = RQ

Answer:

Answer is A.

Step-by-step explanation:

x^2-15x-16

x^2+x-16x-16

x(x+1)-16(x+1)

(x+1)(x-16)=0

x=-1 and x=16

9514 1404 393

Answer:

Step-by-step explanation:

Using the least common denominator, we have ...

  [tex]2-\dfrac{x+1}{x-2}-\dfrac{x-4}{x+2}\\\\=\dfrac{2(x-2)(x+2)-(x+1)(x+2)-(x-4)(x-2)}{(x-2)(x+2)}\\\\=\dfrac{2(x^2-4)-(x^2+3x+2)-(x^2-6x+8)}{x^2-4}\\\\=\dfrac{(2-1-1)x^2+(-3+6)x+(-8-2-8)}{x^2-4}=\boxed{\dfrac{3x-18}{x^2-4}}[/tex]

The values of a and b are ...

  a = 3

  b = -18

Answer:

Answer to B - 20

480 + 96 = 600

Step-by-step explanation:

12 x 40 = 480

5 x 4 = 20

Answer:

Hello! 59.2 is our answer

This is because for all the triangles we do 5.4 x 4 = 21.6 then I divide by 2 cause thats the formula when doing triangles so I get 10.8 and sense all the triangle sides our the same I do 10.8 x 4 and get 43.2 then for the bottom side I just have to do 4 x 4 cause thats the formula and get 16 then I add these up so 43.2 + 16 = 59.2 and We get our answer 59.2 Hope this helps!

Answer:

D: $2,000

Step-by-step explanation:

If im wrong contact me at Mousycritter#2842 on discor.d if you seek more help

The ladder and the top of the building form a right triangle

The building is 20.8 feet tall

The given parameters are:

The height (h) of the building is calculated using the following Pythagoras theorem

L^2 = b^2 + h^2

So, we have:

39^2 = 33^2 + h^2

Evaluate the exponent

1521 = 1089 + h^2

Rewrite as:

h^2 = 1521 - 1089

h^2 = 432

Take the square root of both sides

h = 20.8

Hence, the building is 20.8 feet tall

Read more about right triangles at:

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Answer:

12.5m³

Step-by-step explanation:

V = w × h × l = 1.43 × 3.13 × 2.8 = 12.5m³

Have a good day

Given:

Slope of a straight line is [tex]\sqrt{3}[/tex].

The line passing through the point (-1,5).

To find:

The equation of the straight line.

Solution:

The point slope form of a line is:

[tex]y-y_1=m(x-x_1)[/tex]

Where, m is the slope and [tex](x_1,y_1)[/tex] is the point.

The line passing through the point (-1,5) with slope [tex]\sqrt{3}[/tex]. So, the equation of the line is:

[tex]y-5=\sqrt{3}(x-(-1))[/tex]

[tex]y-5=\sqrt{3}(x+1)[/tex]

[tex]y=\sqrt{3}x+\sqrt{3}+5[/tex]

Therefore, the equation of the straight line is [tex]y=\sqrt{3}x+\sqrt{3}+5[/tex].

Answer:pretty sure B and E

Step-by-step explanation:

Answer:

C jvbivy yvibiv

Step-by-step explanation:

Ctcyvu

Step-by-step explanation:

tell me the answer when u get too!!

btw its 557/1980

The proof is shown in the solution.

A repeating decimal or recurring decimal is a decimal representation of a number whose digits are periodic, and the infinitely repeated portion is not zero.

Given that, show that the recurring decimal 0.2813 = 557 / 198

Let 0.2813 be x

0.2813 = x......(i)

2813.2813 = 10000x......(ii)

Subtracting eq(i) from eq(ii)

2813 = 999x

x = 2813 / 999

x = 557 / 198

Hence, proved

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Answer:

x=7 y=-10 this is ur answer

Answer:

See Explanation

Step-by-step explanation:

Given

See attachment for complete question

First, we determine the cost function for all the three rides.

Ride A

From the graph, we have the following points

[tex](x_1,y_1) = (0,8)[/tex]

[tex](x_2,y_2) = (2,12)[/tex]

Calculate slope

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{12-8}{2-0}[/tex]

[tex]m = \frac{4}{2}[/tex]

[tex]m =2[/tex] --- This represents the rate per ride

The equation is the calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

So, we have:

[tex]y = 2(x - 0) + 8[/tex]

[tex]y = 2(x) + 8[/tex]

[tex]y = 2x + 8[/tex]

So, the cost function is:

[tex]C(x) =2x + 8[/tex]

Calculate the cost of admission i.e. x=0

[tex]C(0) = 2*0+8 = 8[/tex]

So, we have:

[tex]C(0) = 8[/tex] --- Admission Charge

[tex]C(x) =2x + 8[/tex] --- Cost function

[tex]m =2[/tex] --- Rate per ride

Ride B

From the table, we have the following points

[tex](x_1,y_1) = (0,12)[/tex]

[tex](x_2,y_2) = (4,15)[/tex]

Calculate slope

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{15-12}{4-0}[/tex]

[tex]m = \frac{3}{4}[/tex]

[tex]m = 0.75[/tex] --- This represents the rate per ride

The equation is the calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

So, we have:

[tex]y = 0.75(x - 0) + 12[/tex]

[tex]y = 0.75(x) + 12[/tex]

[tex]y = 0.75x + 12[/tex]

So, the cost function is:

[tex]C(x) = 0.75x + 12[/tex]

Calculate the cost of admission i.e. x=0

[tex]C(0) = 0.75*0 + 12=12[/tex]

So, we have:

[tex]C(0) =12[/tex] --- Admission Charge

[tex]C(x) = 0.75x + 12[/tex] --- Cost function

[tex]m = 0.75[/tex] --- Rate per ride

Ride C

No additional fee;

So, the cost function is;

[tex]C(x) = 30[/tex]

In summary, we have:

Ride A

[tex]C(x) =2x + 8[/tex] --- Cost function

[tex]m =2[/tex] --- Rate per ride

Ride B

[tex]C(x) = 0.75x + 12[/tex] --- Cost function

[tex]m = 0.75[/tex] --- Rate per ride

Ride C

[tex]C(x) = 30[/tex] --- Cost function

By comparison

Ride A has the highest rate per ride of (#2), followed by ride B with a rate  of #0.75 per ride.

Ride C has no charges per ride

The impact on the total cost is that:

Ride A: People that opt for ride A will pay the least to get admitted (i.e #8) but they pay the most (i.e. #2) per each ride they take

Ride B: People that opt for ride B will pay #12 to get admitted, but they pay 0.75 per each ride they take

For A and B, the overall cost depends on the number of rides taken.

Ride C: Irrespective of the number of rides taken, people that opt for ride C will pay the same flat fee of #30

Answer:

D) 6.8 inches

Step-by-step explanation:

1.7 x 4 = 6.8 inches

Answer:

This is not really clear, I will assume that the values in the question are:

{0, 1, 0, 2, 3, 2, 3, 4}

For a set of N elements, {x₁, x₂, ..., xₙ}

The mean of the set is given by:

[tex]Mean = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]

In the case of our set, {0, 1, 0, 2, 3, 2, 3, 4}, we have 8 values.

Then the mean of our set is:

[tex]Mean = \frac{0 + 1 + 0 + 2+ 3 + 2 + 3 + 4}{8} = \frac{15}{8} = 1.875[/tex]

Answer:

3. 15.02

4. 84.05

6. 4,301

Step-by-step explanation:

I'm not too sure how to explain this, but those are the answers.