What is the measure of ∠x angles are not necessarily drawn to scale.

Answer:

The correct option is

[tex]A. \ \dfrac{1}{c} \times \left | x - 5 \right | = 0.3[/tex]

Step-by-step explanation:

The parameters given are;

The length of the string = 10 inches

The speed or rate of travel of the wave = c inches per millisecond

The position on the string from the left-most end = x

The time duration of motion of the vibration to reach x= 0.3 milliseconds

The distance covered = Speed × Time = c×0.3

Given that the string is plucked at the middle, with the vibration travelling in both directions, the point after 0.3 millisecond is x where we have;

The location on the string where it is plucked = center of the string = 10/2 = 5 inches

Distance from point of the string being plucked (the center of the string) to the left-most end = 5 inches

Therefore, on the left side of the center of the string we have;

The distance from the location of the vibration x (measured from the left most end) to the center of the string = 5 - x = -(x -5)

On the right side of the center, the distance from x is -(5 - x) = x - 5

Therefore, the the equation that can be used to find the location of the vibration after 0.3 milliseconds is [tex]\dfrac{1}{c} \times \left | x - 5 \right | = 0.3[/tex] or [tex]\left | x - 5 \right | = 0.3 \times c[/tex] which gives the correct option as A

Answer:

D

Step-by-step explanation:

The number of months in two years is 24 months.

Now, with a repayment plan of $400 per month, the total amount returned will be 400 * 24 = $9,600

Now, $8,000 was borrowed but $9,600 was returned

The amount of interest is 9600-8000 = 1600

So what percentage of 8,000 is 1600?

1600/8000 * 100 = 16/80 * 100 = 1/5 * 100 = 20%

Answer:

y = 4

Step-by-step explanation:

We simply have to find the y-value when x = -3. When x = -3 on the graph, our y value would be 4.

Answer:

4

Step-by-step explanation:

Answer:

x >2

Step-by-step explanation:

2x-3> 11 - 5x

Add 5x to each side

2x+5x-3> 11 - 5x+5x

7x -3 > 11

Add 3 to each side

7x-3+3 > 11+3

7x >14

Divide by 7

7x/7 > 14/7

x >2

Answer:

46.87

Step-by-step explanation:

V=*(A^3/2

)/36

V=*(46.87^3/2

)/36

Answer:

A

Step-by-step explanation:

If you put your function in a graphing calculator you will get (6,0)

Answer:

27.44 square cm

Step-by-step explanation:

If the length of parallelogram is a and b and angle between side a and b is [tex]\alpha[/tex].

Then area of parallelogram = [tex]a*b*sin(\alpha ) = ab sin(\alpha )[/tex]

Given side length 4 cm and 7 cm

angle between them = 100°

value of sin(100°) = 0.98

Thus, area of given parallelogram = 4*7*sin(100°) = 28*0.98 = 27.44

Thus, area of given parallelogram is 27.44 square cm.

Answer:

5.

Step-by-step explanation:

If the first 4 picked are of different colours then the fifth  sock must be a match. for one of the four.

Answer: not sure

Step-by-step explanation:

Answer:

Hey there!

3x-5=10x+9

-5=7x+9

-14=7x

x=-2

4(x+7)

4(-2+7)

4(5)

20

Hope this helps :)

Answer:

52

Step-by-step explanation:

Since the sum of interior angles in a quadrilateral is 360°, you have to subrtact all those numbers from 360° in order to get angle D. What I mean is:

360 - (128+126+54)

360 - 308

52

Answer:

52°

Step-by-step explanation:

The trapezoid is a closed figure, meaning all the angles must equal 360°.

1. Set up the equation

128° + 126° + 54° + ∠D = 360°

2. Solve for ∠D

360 - 128- 126- 54 = 52

∠D = 52°

You can also solve this by knowing that in a trapezoid:

∠A + ∠D = 180° and ∠B + ∠C = 180°

1. Set up the equation

128 + ∠D = 180°

2. Solve

180 - 128 = 52

∠D = 52°

Answer:

(The solution is (4, -11).

Step-by-stp explanation:

Let f(x) = g(x) = y:

y = 3x − 23

y = -4.5x + 7     Subtract the second equation from the first to eliminate y:

0 = 7.5x - 30

7.5x = 30

x = 4

Plug this into the first equation:

y = 3(4) - 23

y =  -11.

Answer:

Answer:

option 4

Step-by-step explanation:

Simplify the equation,

9x² + 6x = 3x ( 3x + 2)

9x² + 3x = 3x*(3x + 1)

9x² + 9x + 2 =9x² + 3x + 6x + 2*1

                    = 3x(3x + 1) + 2(3x + 1)

                  = (3x+ 1)(3x +2 )

[tex]\frac{10}{9x^{2}+6x}-\frac{1}{9x\frac{}{}+3x}=\frac{10}{3x(3x+2)}-\frac{1}{3x(3x+1)}\\\\=\frac{10(3x+1)}{3x(3x+1)(3x+2)}-\frac{1(3x+2)}{3x(3x+1)(3x+2))}\\\\=\frac{10(3x+1)-(3x+2)}{3x(3x+1)(3x+2)}\\\\\\\frac{5}{9x^{2}+9x+2}= \frac{10(3x+1)-(3x+2)}{3x(3x+1)(3x+2)}\\\\\frac{5}{(3x+1)(3x+2)}=\frac{10(3x+1)-(3x+2)}{3x(3x+1)(3x+2)}\\[/tex]

Both sides (3x+1)(3x+2) will get cancelled

[tex]5=\frac{10(3x+1)-(3x+2)}{3x}\\[/tex]

Cross multiply,

5(3x) =10(3x+1)-(3x+2)

When x = -2/3, LHS = 5(3x) = [tex]5*3*\frac{-2}{3}[/tex]

                                 = -10

When x= -2/3, RHS = 10(3x+1)-(3x+2)

                                = [tex]10(3*\frac{-2}{3}+1)-(3*\frac{-2}{3}+2)\\[/tex]

                                = 10(-2+1) - (-2+2)

                                = 10 * (-1) -0

                               = -10

LHS = RHS

So, -2/3 is a solution

Answer:

Step-by-step explanation:

numbers to find perimeter = perimeter

Side + Side + 2 unknown sides = perimeter

12 + 7.8 + 2t = 50.2

19.8 + 2t = 50.2

19.8 + 2t = 50.2

-19.8        - 19.8

2t = 30.4

12 + 7.8 + t + t = 50.2

12 + 7.8 + (15.2) + (15.2) = 50.2

Hope this helped,

Kavitha

Answer:

t = 15.2 miles

Step-by-step explanation:

First, let's add the top and bottom numbers together.

7.8 + 12 = 19.8 mi

Next, we subtract that from 50.2 to get the combined value of both t's.

50.2 - 19.8 = 30.4 mi

Finally, we can divide 30.4 by 2 to get the value of t.

30.4 ÷ 2 = 15.2 mi

To check our answer, we can add all the sides up to see if they equal to 50.2. 15.2 + 15.2 = 30.4

30.4 + 12 + 7.8 = 50.2

Answer:

y = G(x) = 6, when x = -4

y = G(x) = -2, when x = 3

Step-by-step explanation:

From the attached graph tracing the first point to the graph and then to x axis.

y = G(x) = 6

as shown on the attachment(by the thick line)

y = G(x) = 6, when x = -4

From the attached graph tracing the second point to the graph and then to x axis.

y = G(x) = -2

as shown on the attachment(by the thin line)

y = G(x) = -2, when x = 3

Hey there! I'm happy to help!

There is a rule in trigonometry that says that the sine of one angle is equal to the cosine of that angle's complement.

Complementary angles are ones that equal 90 degrees when added.

We see that L and M are complementary angles, so we can apply this rule.

The sine of L is 19/20. We know that the sine of angle L is equal to the cosine of L's complement from our rule, which is M. This means that the cosine of M is equal to 19/20.

Have a wonderful day!

Answer:

its domain

Step-by-step explanation:

Answer:

i believe it is A- range.

Step-by-step explanation:

i took the quiz

Answer:

The expression equivalent to the given equation is -3x - 17

Step-by-step explanation:

4(x + 1) - 7(x + 3)

Distribute 4 to (x + 1) and distribute 7 to (x + 3).

4x + 4 - 7x - 21

Combine like terms.

-3x - 17

Answer:

x^2 - 2x

Step-by-step explanation:

Distribute the x to every term in the parenthesis.

Answer:

x^2 -2x

Step-by-step explanation:

x(x - 2)

Distribute

x*x - 2*x

x^2 -2x

Answer:

Is it B?

Step-by-step explanation:

ab^2 + 2a^2b + 4a + 2b

ab(b+2a) +2(2a+b)

ab(b+2a) +2(b+2a)

(ab+2)(b+2a)

that's why ab+2 is the answer.

Answer:

Center : (-2, 7)

Radius : 6

Step-by-step explanation:

If you use desmos (graphing website), you're able to plug in the the equation to find the radius and center.

Answer: 75

solve:

For gym A

total cost= membership fee+monthly fee

membership fee=25

monthly fee=25

cost of x month=25x

total cost=25+25x

for gym B

membership fee=10

total cost=55+10x

now total cost are same

25+25x=55+10x

15x=30

x=30/15

x=2.

2 months

and amount =25+25*2=75

Answer:

2 months, they will have paid 75 dollars

Step-by-step explanation:

Gym A

25+ 25m  where m is the number of months

Gym B

55 + 10m

Set them equal

25+25m = 55+10m

Subtract 10m from each side

25+25m-10m = 55+10m-10m

25+15m = 55

Subtract 25 from each side

25+15m-25 = 55-25

15m = 30

Divide by 15

15m/15 = 30/15

m=2

After 2 months

25+25(2) = 25+50 = 75

The cost is 75 dollars

Answer:

x          |          y

− 2                − 6

− 1                − 3

0                    0

1                     3

2                    6

hope this helps!

The table of values for the equation y = 3x - 1, is attached.

x y

-2 -7

-1 -4

0 -1

1 2

2 5

3 8

Equations are relations between two or more variables, used to find the value of an unknown variable from the known value of other variables.

We are given the equation y = 3x - 1. We are asked to complete the table, for the given values of x: -2, -1, 0, 1, 2, 3.

To find the y variable, for the given x's, we substitute each value of x, one at a time in the equation.

We put all these values of y, for the corresponding value of x in the table. The completed table is attached.

Learn more about equations at

https://brainly.com/question/4344214

#SPJ2

Answer:

(0, 4)

Step-by-step explanation:

The y-intercept is where the graph crosses the y-axis when x = 0. Since you are given the graph, you can see that when x = 0, the graph crosses y = 4, so our y-int is (0, 4).

Answer:

Area of ABCD = 959.93 units²

Step-by-step explanation:

a). By applying Sine rule in the ΔABD,

  [tex]\frac{\text{SinA}}{46}=\frac{\text{Sin}\angle{DBA}}{35}[/tex]

  [tex]\frac{\text{Sin110}}{46}=\frac{\text{Sin}\angle{DBA}}{35}[/tex]

 Sin∠DBA = [tex]\frac{35\times \text{Sin}(110)}{46}[/tex]

 m∠DBA = [tex]\text{Sin}^{-1}(0.714983)[/tex]

 m∠DBA = 45.64°

 Therefore, m∠ADB = 180° - (110° + 45.64°) = 24.36°

                  m∠ADB = 24.36°

c). Area of ABCD = Area of ΔABD + Area of ΔBCD

  Area of ΔABD = AD×BD×Sin([tex]\frac{24.36}{2}[/tex])

                           = 35×46Sin(12.18)

                           = 339.68 units²

   Area of ΔBCD = BD×BC×Sin([tex]\frac{59.92}{2}[/tex])°

                            = 46×27×(0.4994)

                            = 620.25 units²

   Area of ABCD = 339.68 + 620.25

                            = 959.93 units²

To solve the given problem, we need to know the types of US coins. The given problem is one of the tricky problems. So lets find out

In the united states, there are six types of coins produced. Penny- 1 cent, nickel- 5 cents, dime- 10 cents, quarter- 25 cents, half dollar- 50 cents and dollar- 100 cents. So u should know these types to slove this know lets move on to the :

Answer and Explanation:

The given problem is a kind of a riddle. It is given that the total of two US coins is

30

cents.

One is not a nickel, But the other one can be a nickel=

5

cents. So, the first one coin is a quarter=

25

cents. Which gives the total

30

cents.

Therefore, the two coins are a nickel and a quarter.

Answer:

Step-by-step explanation:

hello,

As A and B are two independent events we can say that P(A∩B)=P(A)P(B)

P(A)=P(A∩B)/P(B)=16/13

thanks

Step-by-step explanation:

f(g(x))= 5(g(x))- 7 = 5(x+3) - 7 = 5x +8

g(f(x)) = f(x) +3 = 5x -7 +3= 5x -4

Answer:

The solution is the triplet: (a, b, c) = (-3, 0, 0)

Step-by-step explanation:

Let's start with the second equation, and solving for "a":

a - b = -3

a = b - 3

Now replace this expression for a in the third equation:

2 a + b = -6

2 (b - 3) +b = -6

2 b - 6 +b = -6

3 b = -6 +6

3 b = 0

b = 0

So if b = 0 then a = 0 - 3 = -3

now we can replace a= -3, and b = 0  in the first equation and solve for c:

2 a - b + c = -6

2 ( -3) - 0 + c = -6

-6+ c = -6

c = -6 + 6

c = 0

Our solution is a = -3, b= 0 , and c = 0 which can be expressed as (-3, 0, 0)

Answer:

see below

Step-by-step explanation:

Alright, geometric probability.

We need to find

To find those, we need to find the areas of:

Let's start off with the easiest figure. The circle.

The circle has a radius of 10. Therefore, its area is is π[tex]r^2[/tex]. 100π is roughly 314.159265.

The circle has an area of around 314.159265.

Half of the diagonal of the square is 10m. That means that the full diagonal of the square is 20 m.

Formula for side of square using diagonal:

a = q / √2

20/√2 = 14.142135623731

The area of a square is a^2

14.142135623731^2= 200

The area of the square is 200 m^2. (28)

Using this, and the area of the circle, we can find the area of the part of the circle that does not include the square.

314.159265 - 200= 114.159265

The area of the part of the circle that does not include the square is 114.159265.

Now, the most important calculation (because it lets us find the total area of the rectangle); the equiangular triangle.

The height of this triangle is 30m. Therefore, the area is 519.6152422706632.

The area of the equiangular triangle is 519.6152422706632.

The side length of the equiangular triangle is 34.64101615137755.

The area of the rectangle= l times w.

l = 34.64101615137755

w= 30

30 times 34.64101615137755= 1039.23048454133

The total area is 1039.23048454133.

Now that we have the denominator of our fraction (total area), lets go back to our questions.

We need to find

The area of the equilateral triangle = 519.6152422706632

519.6152422706632/1039.23048454133 = .5

The geometric probability that a point chosen randomly inside the rectangle is inside the equilateral triangle is .5

The area of the square = 200

200/1039.23048454133 = 0.19245008973

The geometric probability that a point chosen randomly inside the rectangle is inside the square is 0.19245008973

The area of the part of the circle that doesn't include the square: 114.159265

114.159265/1039.23048454133= 0.10984980396

The geometric probability that a point chosen randomly inside the rectangle is inside the part of the circle that doesn't include the square is 0.10984980396

The part of the rectangle that doesn't include the square, circle or triangle.

Area of triangle = 519.6152422706632

(The triangle contains the circle and square).

1039.23048454133- 519.6152422706632 = 519.61524227067

519.61524227067 /1039.23048454133 = 0.5

The geometric probability that a point chosen randomly inside the rectangle is inside the part of the circle doesn't include the square, circle, or triangle is 0.5

Hope this helped! Let me know if I made an errors, or if my answers are incorrect.

Answer:

Question 1:

The letter x or any letter used when writing an expression is representative of  unit of an idea, quantity or measure, such that it can be translated in the expression to provide information about a related idea

Question 2:

The expression can be translated as two times the expression three (variable) x minus two (variable) y plus the constant 7

Question 3:

In the first expression, the like terms are;

10y and (-2y),

3x and x

In the second expression, the like terms are;

-y and -2y

3x and 4x

The first expression simplifies to 8y + 4x + 10

The second expression simplifies to  7x - 3y + 6

Question 4:

The expression is evaluated as 122

Question 5:

The equivalent expression of the expression 3(4x + 2y) + 5x, is 17x + 6y

To prove when x = 1 and y = 2 we have;

3(4×1 + 2×2) + 5×1 is 29

17×1 + 6×2 is 29 which are equivalent in value

Step-by-step explanation:

Question 1:

The letter x or any letter used when writing an expression is representative of  unit of an idea, quantity or measure, such that it can be translated in the expression to provide information about a related idea

Example;

If x is the symbol representing the average number of oranges sold in 1 hour, then the expression for the number of oranges sold per day of 24 hours  = 24·x

An expression is a written mathematical symbolic statement that shows the the finite merging together of representative symbols by the mathematical operations that govern the present constraints

An equation is a statement that two expressions are equal

Question 2:

The given expression is 2(3x - 2y) + 7

The parts are;

The coefficient of (3x - 2y) = 2

The constant term = 7

The variables are x and y

Which gives

The coefficient of the variable x = 6

The coefficient of the variable y = -4

The expression can be translated as two times the expression three (variable) x minus two (variable) y plus the constant 7

or

The expression can be translated as two times the bracket open three times (variable) x minus two times (variable) y bracket close plus the constant 7

or

The expression can be expanded as 2(3x - 2y) + 7 → 6·x - 4·y + 7 which is expressed verbally as follows;

Six times (variable) x minus four times (variable) y plus the constant 7

Question 3:

The expressions are;

10y + 3x + 10 + x  - 2y..........................(1)

3x - y + 4x + 6 - 2y,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,(2)

In the first expression, the like terms are;

10y and (-2y),

3x and x

In the second expression, the like terms are;

-y and -2y

3x and 4x

They are like terms because they can be simply added together to simplify the expressions as follows

10y + 3x + 10 + x  - 2y gives 10y - 2y + 3x + x  10  to give 8y + 4x + 10

Also

3x - y + 4x + 6 - 2y  gives  3x+ 4x - y  - 2y + 6 to give 7x - 3y + 6

Question 4:

The expression 8x² + 25·y when x = 3 and y = 2 is evaluated by replacing (putting) the value x and y (into the expression)

The expression is then evaluated as 8×3² + 25×2 which is the same as 72 + 50 or 122

Question 5:

To write the equivalent expression of the expression 3(4x + 2y) + 5x, we expand the expression as follows;

3×4x + 3×2y + 4x which is 12x + 6y + 4x

We combine like terms;

12x + 5x + 6y which is 17x + 6y

To prove we can check by substituting a value for each of the variables x and y such as x = 1 and y = 2

3(4×1 + 2×2) + 5×1 is 29

17×1 + 6×2 is 29