a recreational club charges a one time $20 membership fee and $3 for use of the pool

i just need an answer and step by step work of it someone help me please.​

Answer:

12 ,,............,.,...,,,.

The value of x is 12 (Option a) if m∠2 = 6x - 12.

The given figure is an equilateral triangle, it means all three angles are equal. Therefore, we can assume that m∠2 is one of the angles of the equilateral triangle.

From the given information, we have:

m∠2 = 6x - 12

Since all angles of an equilateral triangle are equal, we can set up the equation:

m∠2 = m∠1 = m∠3

Let's assume m∠1 = m∠2 = m∠3 = y (where y represents the measure of each angle in the equilateral triangle).

We can equate the measures of the angles:

y = 6x - 12

Now, let's solve this equation to find the value of x:

6x - 12 = y

Since y represents the measure of each angle in the equilateral triangle, we can substitute y with 60° (since the sum of the angles in an equilateral triangle is 180°, and each angle is 60°).

6x - 12 = 60

Adding 12 to both sides:

6x = 72

Dividing both sides by 6:

x = 12

Therefore, the value of x is 12.

So, the correct option is: (a) 12

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[tex]\large\underline{\sf{Solution-}}[/tex]

Given:

[tex] \rm \longmapsto x = a \sin \alpha \cos \beta [/tex]

[tex] \rm \longmapsto y = b \sin \alpha \sin \beta [/tex]

[tex] \rm \longmapsto z = c\cos \alpha[/tex]

Therefore:

[tex] \rm \longmapsto \dfrac{x}{a} = \sin \alpha \cos \beta [/tex]

[tex] \rm \longmapsto \dfrac{y}{b} = \sin \alpha \sin \beta [/tex]

[tex] \rm \longmapsto \dfrac{z}{c} = \cos \alpha[/tex]

Now:

[tex] \rm = \dfrac{ {x}^{2} }{ {a}^{2}} + \dfrac{ {y}^{2} }{ {b}^{2} } + \dfrac{ {z}^{2} }{ {c}^{2} } [/tex]

[tex] \rm = { \sin}^{2} \alpha \cos^{2} \beta + { \sin}^{2} \alpha \sin^{2} \beta + { \cos}^{2} \alpha [/tex]

[tex] \rm = { \sin}^{2} \alpha (\cos^{2} \beta + \sin^{2} \beta )+ { \cos}^{2} \alpha [/tex]

[tex] \rm = { \sin}^{2} \alpha \cdot1+ { \cos}^{2} \alpha [/tex]

[tex] \rm = { \sin}^{2} \alpha + { \cos}^{2} \alpha [/tex]

[tex] \rm = 1[/tex]

Therefore:

[tex] \rm \longmapsto\dfrac{ {x}^{2} }{ {a}^{2}} + \dfrac{ {y}^{2} }{ {b}^{2} } + \dfrac{ {z}^{2} }{ {c}^{2} } = 1[/tex]

9514 1404 393

Answer:

  Either of ...

Step-by-step explanation:

For some common ratio r, the first of the "geometric means" will be -4r, the next will be -4r^2, and so on. The 5th will be -4r^5, and finally, -62500 will be -4r^6.

Solving this last relation for r gives ...

  -4r^6 = -62500

  r^6 = 15625

Then r can be either of ...

  r = ±15625^(1/6) = ±5

For r = 5, the means are ...

  -4·5 = -20, and -100, -500, -2500, -12500

For r = -5, the means are ...

  -4(-5) = 20, and -100, 500, -2500, 12500

Answer:

He has 672 nails

Step-by-step explanation:

168/.25

Answer:

He has 672 nails.

Step-by-step explanation:

Weight of all nails=168

Weight of a nail=0 .25

Then,

Number of nails=168/0.25

=672

Answer:

B

Step-by-step explanation:

Answer:

Suppose that a couple invested $50,000 in an account when their child was born, to prepare for the child's college education. If the average interest rate is 4.4% compounded annually, ( A ) Give an exponential model for the situation, and ( B ) Will the money be doubled by the time the child turns 18 years old?

( A ) First picture signifies the growth of money per year.

( B ) Yes, the money will be doubled as it's maturity would be $108,537.29.

a = p(1 + \frac{r}{n} ) {}^{nt}a=p(1+

n

r

)

nt

a = 50.000.00(1 + \frac{0.044}{1} ) {}^{(1)(18)}a=50.000.00(1+

1

0.044

)

(1)(18)

a = 50.000.00(1 + 0.044) {}^{(1)(18)}a=50.000.00(1+0.044)

(1)(18)

a = 50.000.00(1.044) {}^{(18)}a=50.000.00(1.044)

(18)

50,000.00 ( 2.17074583287910578440507440 it did not round off as the exact decimal is needed.

a = 108.537.29a=108.537.29

Step-by-step explanation:

Hope This Help you!!

Answer:

9.25 lbs

Step-by-step explanation:

37 is the amount for 4 acres or 4a:

37  = 4a

Isolate and find a by dividing both sides by 4:

4a = 37

4a ÷ 4 = [tex]\frac{37}{4}[/tex]

a = [tex]\frac{37}{4}[/tex] or 9.25 lbs

Hope this helps!

Answer:

[tex]\sf\longmapsto \: x = 10[/tex]

Step-by-step explanation:

Subtract 7 from both sides:

7−5x−7=−43−7

Simplify:

−5x=−50

Divide both sides by −5:

[tex]\sf\longmapsto \: \frac{ - 5x}{ - 5} = \frac{ - 50}{5} [/tex]

[tex]\sf\longmapsto \: x = 10[/tex]

[tex]\boxed{\sf Answered \: By\: Subhash} [/tex]

[tex]\boxed{\sf Answered \: By\: Subhash} [/tex]

[tex]\boxed{\sf Good\: luck \: for \: your \:assignment} [/tex]

Answer:

x=10

Step-by-step explanation:

[tex]7-5x=-43[/tex]

[tex]7-5x-7=-43-7[/tex] Subtract

[tex]-5x=-50[/tex]

[tex]\cfrac{-5x}{-5}=\cfrac{-50}{-5}[/tex] Divide

[tex]x=10[/tex]

Answer:

4 times bigger

Step-by-step explanation:

1. The area of an object dilated by a scale factor (SF) will be equal to (SF)^2.

2. For example, let's say the base and height of Triangle A is 4 and 8. The area would be 16 units squared. The base and height of Triangle B would be 8 and 16. The area would be 64 units squared.

3. As you can see from the aforementioned example, the SF (2) was squared  and then multiplied by 16 to get 64.

Therefore, Triangle B's area is 4 times bigger than Triangle A's area.

Answer:

3x+2=16

Step-by-step explanation:

Answer:

the answer is most likely to be rather the first or second choice, but i choose B

Step-by-step explanation:

*Hope this helps*

based on what i understood, 3 green rectangles (or whaever that shape is), the 2 red squares, and the 16 small yellow squares. and the answer choices have

3x - 2 = 16

3x +2 = 16

3x + 4 = 20

3x = 24

and i dont think its 3x + 4 = 20 or 3x = 24 because there isn't any shapes to represent the 4, 20, and 24.

I might be wrong but i hope its right...

Answer:

Domain: (- infinity, infinity) Range: (-infinity, infinity)

Step-by-step explanation:

ok. look at the x axis.. the graph goes on forever... now y axis, it continues so both are infinity.

Answer:

16% of 95 is 15.2

Step-by-step explanation:

0.16×95= 15.2

Answer:

x=120°

Step-by-step explanation:

X+X+1/2X+1/2X=360

combine all like variables

X+X=2X

1/2X+1/2X=X

2X+X=3X

3X=360

isolate x by dividing both sides by 3

360÷3=120

X=120

Answer:

7!!

Step-by-step explanation:

Answer:

x= 7

Step-by-step explanation:

Answer:-1

Step-by-step explanation:

10x+1=3(4x+2)-3

10x+1=12x+6-3

10x+1=12x+3

1=2x+3

-2=2x

1=x

Answer:

width = 25cm

Step-by-step explanation:

perimeter = 84

length =17

A) 84 = 17(2) + 2w

B) 84 = 34 + 2w

 -34      -34

50=2w

/2     /2

25=w

Answer:

b) 3 miles per hour

Step-by-step explanation:

If George walked 6 miles is 2 hours, his average walking rate would be 3 miles per hour.

6 ÷ 2 = 3.

The density of the gold sample is 19.3g/cm³

Let the mass of the gold sample be represented by m

m = 579 g

Let the volume of the gold sample be represented by V

V = 30 cm³

Let the density of the gold sample be represented by ρ

The formula for the density is:

[tex]Density = \frac{Mass}{Volume}[/tex]

[tex]\rho = \frac{m}{V} \\\rho = \frac{579}{30} \\\rho = 19.3 g/cm^3[/tex]

The density of the gold sample is 19.3g/cm³

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Answer:

a

Step-by-step explanation:

A is the answer, since when you graph it, you are able to visualize y crossing -2 and x crossing 3.

Step-by-step explanation:

A+B+C = 14

B+1 +B + B-2 = 14

3B -1 = 14

3B = 14+1

3B =15

B = 5

Therefore, A = 5+1 = 6 ft (option A)

__________

[tex] \: [/tex]

14 = A + B + C

14 = (B + 1) + B + (B - 2)

14 = 3b - 1

14 + 1 = 3b

15 = 3b

b = 15 ÷ 3

b = 5

.

A = B + 1

A = 5 + 1

A = 6✔ (A.)

Answer:

< F , < E, < D

Step-by-step explanation:

ΔDEF

Arrange the sides from smallest to largest

DE = 4, FD = 13, and EF = 15.

Largest side opposes the largest angle, medium side opposes the medium angle, smallest side opposes  the smallest angle.

the angles of ΔDEF in order from smallest to largest

< F , < E, < D

Answer:

9 Should be your answer

Step-by-step explanation:

[tex]2^{2}[/tex] = 4

[tex]3^{2}[/tex] = 9

These will help us as we solve this problem.

Then: 2² + 3² - 2²

= 4 + 9 - 4

= 9

Kind requests:

Please give brainliest :D

Answer:

When y = 20 ,x is −5

Step-by-step explanation:

Answer:

D.) an = 4 * an-1

Step-by-step explanation:

a(n) = (1/3) * 4^(n-1)

a(n-1) = (1/3) * 4^(n-1-1) = (1/3) * 4^(n-2)

Thus,

a(n) = (1/3) * 4 * 4^(n-2) = 4 * [(1/3) * 4^(n-2)] = 4 * a(n-1), so that

a(n) = 4 * a(n-1).

Answer:

Cube Root

Step-by-step explanation:

Because there is a 3 outside the symbol.

That means the equation is stating: y * y * y = x

Hope this helps :)

Answer:

y = 1/2x + 4

Step-by-step explanation:

hope this helps

Answer:

bde=30 degrees

Step-by-step explanation:

angle abc = 50 degrees

50+100=150

180-150=30degrees