Find the area of the circle. Use 3.14 for the value of x Round your answer to the nearest tenth. Don’t forget to find the radius first before finding the area.

81.7 in
98.5 in
16 in
326.8 in

The volume of the tank of water is 653.12 cubic meters.

For a cylinder of height H and diameter D, the total volume is given by:

[tex]V = 3.14*(D/2)^2*H[/tex]

In this case, we know that:

D = 8m

H = 13m

Replacing that in the above equation:

[tex]V = 3.14*(8m/2)^2*13m = 653.12 m^3[/tex]

So the volume of the tank of water is 653.12 cubic meters.

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Answer:

Step-by-step explanation:

cos^-1(√(111))/2√(37) = 30°

m<C = 30°

Answer:

                                                  Elimination:

-4x - 2y = -18                            -4x - 2y   = -18

x + 3y   = 8        | ×4   ------>      4x + 12y = 32  +

                                                          10y = 14

                                                              y = 1,4

x + 3y = 8

x + 3(1,4) = 8

x + 4,2 = 8

x = 3,8

Answer:

$11,580.31

Step-by-step explanation:

turn 41% into a decimal:

0.41

$28,244.66 * 0.41

11,580.31

mark brainliest pls

The number of seconds taken by the fourth team to complete his part of the race is 45.116 seconds.

It simply means to deduct something from the object or number of group, place, etc. Subtraction means to take away from the group or a number of objects.

Four athletes from the Republic of Korea competed in a team wheelchair race at the Paralympic Games.

The team finished the race in a total of 190.729 seconds.

First team member: 46.685 seconds

Second team member: 48.869 seconds

Third team member: 49.33 seconds

Then the number of the seconds is taken by the fourth team will be

Let x be the number of the second taken by the fourth team.

Then we have

x + 46.685 + 48.869 + 49.33 = 190.729

                            x + 144.884 = 190.729

                                             x = 45.116

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Answer:

x= 45.845

Step-by-step explanation:

190.729-144.884

Step-by-step explanation:

firstly we take the constant out of the integral making it

4 × the integral of x^5/2

the integral of x^5/2 is equal to 2/7(x^7/2)

final answer: (8/7) × (x^7/2)

make sure to comment if you have any doubt.

multiply 30% by 210

210 x 0.30 = 63

answer: 63

Answer:

but good luck with that man

Answer:

2 feet

Step-by-step explanation:

The shoreline is eroding at 1/3 foot per 2 months. There are 12 months in a year so you multiply 1/3 x 6 and you get 2.

Answer:

[tex](x-4)(x^2+1)[/tex]

Step-by-step explanation:

Answer:

-3, 4

Explanation:

x² + x - 12

factorize

x² + 4x -3x - 12

take out common terms

x(x + 4) -3(x + 4)

collect into groups

(x-3)(x+4)

p = -3, q = 4

Answer:

C.  -3 and 4

Step-by-step explanation:

In order to factor a quadratic equation in the form [tex]ax^2+bx+c[/tex]
we need to find a pair of numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex].

Therefore, in order to factor [tex]x^2+x-12[/tex] we need to find a pair of numbers that multiply to -12 and sum to 1.

The only pair of numbers in the table that sum to 1 are:

p = -3 and q = 4

Therefore, the solution is option C.

Answer:

The value of x is 64.

Step-by-step explanation:

The base angles of an isoceles triangle are congruent.

[tex]x + 58 + 58 = 180[/tex]

[tex]x + 116 = 180[/tex]

[tex]x = 64[/tex]

Answer:

$4742.10

Step-by-step explanation:

Exponential depreciation formula :-

, where y is the value of good after t years , r is rate of depreciation and A is the initial value.

Given : A= $20800  ; r=10.75%=0.1075  

The equation models this situation:

Then, the value of car after t=13 years :-

Hence, the value of car after 13 years = $4742.10

Answer:

None of the choices are correct

Stefofp-by-step explanation:

Simplify the following:

(-6 x^3 y^4 + 9 x^8 y^2)/(3 x y)

Factor 3 x^3 y^2 out of -6 x^3 y^4 + 9 x^8 y^2:

(3 x^3 y^2 (-2 y^2 + 3 x^5))/(3 x y)

(3 x^3 y^2 (-2 y^2 + 3 x^5))/(3 x y) = 3/3×(x^3 y^2 (-2 y^2 + 3 x^5))/(x y) = (x^3 y^2 (-2 y^2 + 3 x^5))/(x y):

(x^3 y^2 (-2 y^2 + 3 x^5))/(x y)

Combine powers. (x^3 y^2 (-2 y^2 + 3 x^5))/(x y) = x^(3 - 1) y^(2 - 1) (-2 y^2 + 3 x^5):

x^(3 - 1) y^(2 - 1) (-2 y^2 + 3 x^5)

3 - 1 = 2:

x^2 y^(2 - 1) (-2 y^2 + 3 x^5)

2 - 1 = 1:

Answer:  x^2 y (-2 y^2 + 3 x^5)

4v points in the same direction as v, so all you need to do is normalize v.

Simply multiply it by the reciprocal of its magnitude:

[tex]v = (-1, 4, 2) \implies \|v\| = \sqrt{(-1)^2 + 4^2 + 2^2} = \sqrt{21}[/tex]

[tex]\implies \dfrac{v}{\|v\|} = \dfrac{(-1,4,2)}{\sqrt{21}} = \left(-\dfrac1{\sqrt{21}}, \dfrac4{\sqrt{21}}, \dfrac2{\sqrt{21}}\right)[/tex]

Answer:

b

Step-by-step explanation:

................................

Answer:

x=16

Step-by-step explanation:

The opposite angles will always be supplementary

<K + < M = 180

47+ 7x+21 = 180

Combine like terms

7x+68 = 180

Subtract 68

7x = 180-68

7x = 112

Divide by 7

7x/7 = 116/7

x =16

Answer:

$240

Step-by-step explanation:

[tex]1600 \times .05 \times 3 = 240[/tex]

Answer:

A = 16

Step-by-step explanation:

Formula b*h/2

b =8

h =4

so

A= 8*4/2

A = 16

The velocity that the coaster must have at the top of a 50-foot hill to achieve a velocity of 57 feet per second is 7 feet/second.

Velocity is the rate of change of its position with respect to time.

[tex]V = \dfrac{dy}{dt}[/tex]

Given the velocity(v) in feet per second of a roller coaster at the bottom of a hill is related to the vertical drop(h) in feet and the velocity(v°) in feet per second of the coaster at the top of the hill by the formula v°=√(v²-64h).

Therefore, the velocity of the coaster at the top should be,

[tex]v^o=\sqrt{(v^2-64h)}\\\\v^o=\sqrt{[57^2-(64\times 50)]}\\\\v^o=\sqrt{49}\\\\v^o = 7\rm\ feet/second[/tex]

Hence, the velocity that the coaster must have at the top of a 50-foot hill to achieve a velocity of 57 feet per second is 7 feet/second.

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Answer:

Part A 1 solution

Part B 1,4

Answer:

Part A : It has one solution because the lines intersect at one point

Part B : The solution is the points where the lines intersect

Which is (3,4)

Answer:

3

Step-by-step explanation:

Prime factorization

36 = 3 * 3 *2 * 2

15 = 3 * 5                 The biggest difference is   5 -2 = 3

Answer: 15.095$

Step-by-step explanation:

Answer:

  $3181.42

Step-by-step explanation:

The balance of an account earning compound interest is given by the formula ...

  A = P(1 +r/n)^(nt)

where P is the principal invested at annual rate r for t years, compounded n times per year.

__

You have P=1580, r=0.10, n=365, t=7, so the balance is ...

  A = $1580(1 +0.10/365)^(365×7) ≈ $3181.42

_____

Additional comment

Your graphing calculator may have a financial function that will calculate this for you.

Answer:

option B

Explanation:

Recursive Formula: aₙ = aₙ₋₁ + d

Given Sequence: 7, 4, 1, -2, -5,....

Identify the common difference:

second term - first term

4 - 7 = -3  or 1 - 4 = -3 or -2 - 1 = -3

So formula:

[tex]\sf a_n = a_{n-1}-3[/tex], where [tex]\sf a_1 = 7[/tex]

Find next term:

[tex]\sf a_6 = a_{6-1}-3 = -5-3 = -8[/tex]

Answer:

[tex] \frac{m}{h} = \frac{165}{7} [/tex]