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Answer:

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

Answer:

216 degrees

Step-by-step explanation:

To convert radian measure to a degree, substitute 180 degrees in for pi.

6(180)/5=216 degrees

Therefore, your answer is 216 degrees

Answer:

791,800

Step-by-step explanation:

Answer: 791800

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

The height of the guest in inches will be 68.93 and in feet is 5.7.

It states that in the right angle triangle the hypotenuse square is equal to the sum of the square of the other two sides.

By applying the Pythagorean theorem:-

P²  =  H²  - B²

P²  = 84²  -   48²

P²  =  4725

P = √4725

P = 68.73 inches

Now the height in feet will be 68.73  /  12  = 5.7 feet.

Therefore the height of the guest in inches will be 68.93 and in feet is 5.7.

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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: 15.095$

Step-by-step explanation:

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:

but good luck with that man

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:

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:

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

multiply 30% by 210

210 x 0.30 = 63

answer: 63

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]

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]

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

Answer:

m=5

Step-by-step explanation:

If the triangles are similar, the ratios of the side lengths are the same

AB        AC  

-----  = -------

QR         QS

6         3

----  = -----

10        m

Using cross products

6m = 3*10

6m = 30

Divide each side by 6

6m/6 = 30/6

m = 5

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:

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:

-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.

The length of arc UT in the diagram given, to the nearest tenth, is calculated as: 3.9 meters.

Length of arc = ∅/360 × 2πr

Given the following:

Radius = 1/2(VS) = 1/2(12) = 6 meters

∅ = 90 - (180 - 127) = 37°

Length of arc UT = ∅/360 × 2πr = 37/360 × 2π(6) = 3.9 meters

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Answer:

Step-by-step explanation:

cos^-1(√(111))/2√(37) = 30°

m<C = 30°

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:

3

Step-by-step explanation:

Prime factorization

36 = 3 * 3 *2 * 2

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

Answer:

A = 16

Step-by-step explanation:

Formula b*h/2

b =8

h =4

so

A= 8*4/2

A = 16

Answer:

purple

Step-by-step explanation: