NO LINKS!! Determine if the figures have line, point, and/or rotational symmetry. Check all that apply. Part 1​

Answer:

16 cm

Step-by-step explanation:

Circumference of a circle

We are told that the string is wound symmetrically around a circular rod.

Now, the circumference of the rod is 4 cm and length is 12 cm.

Now, circumference is also the length of a circle. Thus, one wound of the string will be equal to the circumference of the rod.

Thus, one wound = 4 cm

Since the string makes 4 turns about the rod, then;

Length of string = 4 × 4 = 16 cm

hopes this helps ya out

The equation M = 8 + 8 represents the given information. Maria has 16 scarves.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Let's let "M" represent the number of scarves that Maria has.

According to the problem, "Maria has 8 more scarves than Lucy." We know that Lucy has 8 scarves. So, Maria has 8 more than that.

We can represent this information in an equation:

M = 8 + 8

We add 8 to Lucy's 8 scarves to get the total number of scarves that Maria has, which is 16.

So, Maria has 16 scarves.

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The required Maria has 16 scarves, and the expression models the situation is given as M = 8 + L.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Let's use the variable "M" to represent the number of scarves that Maria has. Since Maria has 8 more scarves than Lucy, and Lucy has 8 scarves, we can write an equation as,

M = 8 + L

where L is the number of scarves that Lucy has. Substituting L = 8 into this equation, we get:

M = 8 + 8

M = 16

Therefore, Maria has 16 scarves.

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The equation of the line in fully simplified slope-intercept form is y = x + 7.

We have,

From the graph,

The coordinates of the line are:

(0, 7), (-7, 0), and (-2, 5).

We can use any coordinates the line touches on the graph.

We will use,

(0, 7) and (-7, 0)

The equation can be written in the form y = mx + c

m = (0 - 7) / (-7 - 0)

m = -7/-7

m = 1 ______(1)

And,

(0, 7) = (x, y)

So,

y = mx + c ______(2)

7 = 1 x 0 + c

7 = c

c = 7 ______(3)

Now,

From (1), (2), and (3).

y = x + 7

Thus,

The equation of the line in fully simplified slope-intercept form is y = x + 7.

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Answer:

see explanation

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

a hexagon has 6 sides , then

sum = 180° × (6 - 2) = 180° × 4 = 720°

12

the polygon has 5 sides , so

sum = 180° × (5 - 2) = 180° × 3 = 540°

sum the interior angles and equate to 540

y + 90 + 120 + 90 + 110 = 540

y + 410 = 540 ( subtract 410 from both sides )

y = 130

13

the polygon has 7 sides , so

sum = 180° × (7 - 2) = 180° × 5 = 900°

sum the interior angles and equate to 900

p + 90 + 141 + 130 + 136 + 123 + 140 = 900

p + 760 = 900 ( subtract 760 from both sides )

p = 140

Answer:

The nearest whole is 122.99 repeated

Step-by-step explanation:

The solution of the system of linear equations is (2, 1).

The elimination method is a method used to solve systems of linear equations.

It involves simplifying the equations algebraically to eliminate one of the variables, which allows us to solve for the remaining variable(s).  

To eliminate a variable add or subtract the equation and solve for a variable.

Here we have

x + 4y = 6 --- (1)

−x −2y = −4 --- (2)

To solve the equations by elimination

Add (1) and (2)

=> x + 4y −x −2y = 6 − 4  

=> 2y = 2

Divide by 2 into both sides

=> 2y/2 = 2/2  

=> y = 1

Now substitute y = 1 in (1)

=> x + 4(1) = 6

=> x + 4 = 6

Subtract 4 from both sides  

=> x + 4 - 4 = 6 - 4

=> x = 2

Therefore,

The solution of the system of linear equations is (2, 1).

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Answer:

A. is the appropriate answer to carl's proof

In UVW, if XY || VW then UX/XV= UY/ YW. Then the correct option is A.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

Carl wants to prove that if a line is parallel to one side of a triangle, then it divides the other two sides proportionally.

We know that if two triangles are similar, then the ratio of the corresponding sides will remain constant.

Let the triangle UVW and XY is parallel to the side VW.

Then the triangle UVW and UXY will be similar triangle.

Then the ratio of their corresponding sides will be

UX / XV = UY / YW

In UVW, if XY || VW then UX/XV= UY/ YW.

Then the correct option is A.

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Answer:

I can help if I see the picture ^^

Step-by-step explanation:

The function is y = x²-1, x ≤ 1 and x²+4 x > 1

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given is graph, we need to find its function.

First you look on the left side of the graph.

You can tell by the shape that it is an x³ function. also the filled in circle means inclusive. so we know that when x (whatever number).

It is impossible to tell for sure with this graph if it is on 1. for the first part. the only answer that has less than or equal to is the last one, D.

So the answer is D. You can look on the right side that it is an open circle.

So we can see the bottom part of D has that as well.

Hence, the function is y = x²-1, x ≤ 1 and x²+4 x > 1

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The complete question attached

Answer:

412.92

Step-by-step explanation:

\(A = P(1+\frac{r}{n} )^{nt}\)

A: Amount, P: Principal, r: interest, n: no.of times compounded yearly and t: time in years

We have P = 300

r = 4% = 0.04

n = 12 (compounded monthly)

t = 8

\(A = 300(1+\frac{0.04}{12} )^{12*8}\\\\300(\frac{12.04}{12} )^{96}\\\\= 412.92\)

Answer:

the answer to your question is h = 10

Answer:

We think you wrote:

-24>6/7(h-8)

This deals with linear inequalities.

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Step by Step Solution

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Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

-24-(6/7*(h-8))>0

Step by step solution :

STEP

1

:

6

Simplify —

7

Equation at the end of step

1

:

6

-24 - (— • (h - 8)) > 0

7

STEP

2

:

Equation at the end of step 2

6 • (h - 8)

-24 - ——————————— > 0

7

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using 7 as the denominator :

-24 -24 • 7

-24 = ——— = ———————

1 7

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

-24 • 7 - (6 • (h-8)) -6h - 120

————————————————————— = —————————

7 7

STEP

4

:

Pulling out like terms :

4.1 Pull out like factors :

-6h - 120 = -6 • (h + 20)

Equation at the end of step

4

:

-6 • (h + 20)

————————————— > 0

7

STEP

5

:

5.1 Multiply both sides by 7

5.2 Divide both sides by -6

Remember to flip the inequality sign:

Solve Basic Inequality :

5.3 Subtract 20 from both sides

h < -20

Inequality Plot :

5.4 Inequality plot for

-0.857 X - 17.143 < 0

One solution was found :

The length of side AB in right angled triangle ABC  will be 48 cm.

Every triangle with one 90° angle is said to have a right angle. The triangle with a right angle is known as a right triangle because a right angle is 90 degrees.The longest side of a right angle is known as the hypotenuse, and it is opposite the right angle.

Given,

∠B= 90°, AC = 96 cm, ∠C = 30°

Now, we know, Trignometric ratio sin θ in triangle can be given by-:

sin θ = \(\frac{perpendicular}{hypotenuse}\)

From given figure,

Perpendicular= AB= ?

and Hypotenuse= AC = 96

and θ= 30°

Hence,

sin 30° =\(\frac{perpendicular}{hypotenuse}\)= \(\frac{AB}{96}\)

\(\frac{1}{2} = \frac{AB}{96}\)                                      (∵ sin 30°= 1/2)

\(AB=\frac{96}{2}\)

\(AB= 48 cm\)

Thus, AB= 48 cm

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Correct Question:ABC is a right angled triangle. if B = 90°, AC = 96 cm, C = 30°. Find AB = ?

The general solution of the partial differential equation is:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

The partial differential equation (PDE) is given as:

Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)

Assume that the solution can be written as a product of two functions:

U(x, t) = X(x)T(t)

Substituting this into the PDE, we have:

X''(x)T(t) = (1/2)X(x)T'(t)

Dividing both sides by X(x)T(t), we get:

(X''(x))/X(x) = (1/2)(T'(t))/T(t)

Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:

(X''(x))/X(x) = -λ²

(1/2)(T'(t))/T(t) = -λ²

Simplifying the second equation, we have:

T'(t)/T(t) = -2λ²

Solving the second equation, we find:

T(t) = Ce^(-2λ²t)

Applying the boundary condition U(0, t) = 0, we have:

U(0, t) = X(0)T(t) = 0

Since T(t) ≠ 0, we must have X(0) = 0.

Applying the boundary condition U(3, t) = 0, we have:

U(3, t) = X(3)T(t) = 0

Again, since T(t) ≠ 0, we must have X(3) = 0.

Therefore, we can conclude that X(x) must satisfy the following boundary value problem:

X''(x)/X(x) = -λ²

X(0) = 0

X(3) = 0

The general solution to this ordinary differential equation is given by:

X(x) = Asin(λx) + Bcos(λx)

Applying the initial condition U(x, 0) = 5*sin(4πx), we have:

U(x, 0) = X(x)T(0) = X(x)C

Comparing this with the given initial condition, we can conclude that T(0) = C = 5.

Therefore, the complete solution for U(x, t) is given by:

U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)

where:

Σ represents the summation over all values of n

λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).

To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):

X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0

X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0

From the first equation, we have Bₙ = 0.

From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.

This implies that 3λₙ = nπ, where n is an integer.

Therefore, λₙ = (nπ)/3.

Substituting the eigenvalues into the general solution, we have:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

where Aₙ are the coefficients that can be determined from the initial condition.

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Answer:

3x+5+2y

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

\( = > 5 + 3x + 2y\)

The amount of Bruno's yearly pay deducted for FICA is approximately

A. $4,524.15. The closest option provided is A. $4521.15.

To calculate the amount of FICA deducted from Bruno's yearly pay, we need to consider the specific FICA tax rates for Social Security and Medicare.

As of 2021, the Social Security tax rate is 6.2% on income up to a certain threshold, and the Medicare tax rate is 1.45% on all income.

Given that Bruno's gross income per pay period is $4925 and he is paid monthly, we can calculate the yearly gross income as follows:

Yearly gross income = $4925 * 12 = $59,100

To calculate the FICA deduction, we need to find the sum of the Social Security and Medicare taxes. Using the respective tax rates mentioned earlier:

Social Security deduction = $59,100 * 6.2% = $3,667.20

Medicare deduction = $59,100 * 1.45% = $856.95

Adding these two deductions together:

FICA deduction = $3,667.20 + $856.95 = $4,524.15

Therefore, the amount of Bruno's yearly pay deducted for FICA is approximately $4,524.15.

The closest option provided is A. $4521.15.

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Answer:

C. The population is all seniors at Riverview High; the sample is the 100 seniors surveyed.

Step-by-step explanation:

The Population in statistical terms refers to the objects, people, organisms, etc that a researcher wishes to study. Usually, the population is so large that it might be difficult for the researcher to study all of them. To solve this problem, a sample is thus obtained from the population in such a way that participants have an equal chance of being chosen for the study. The result gotten from this sample can then be generalized to the entire population.

In the example provided, all the seniors at Riverview High are the population under study. The 100 seniors chosen from this population are the sample.

The population in this setting is all seniors at Riverview High and the sample is the 100 seniors surveyed.

A population is the party of interest in an experiment. It is from a population the sample is derived. A population consists of all the members of the group.

A sample is a smaller group of the population. A sample is sometimes necessary because it might not be feasible or cost effective to access the whole population.

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Answer:

118

Step-by-step explanation:

All angles inside a triangle add up to 180. D and C is the same. 31 x 2 = 62

180 - 62 = 118

Answer:

weight of large box = x kg=18.25kg

weight of small box =y kg=15.5kg

Step-by-step explanation:

2 large boxes and 3 small boxes has a total weight of 83 kilograms.

2x+3y=83--------- eq 1

4 large boxes and 8 small boxes has a total weight of 197 kilograms.

4x+8y =197 -------eq 2

multiply eq 1 with -2

-4x-6y =-166

now add both equations

-4x-6y=-166

4x+8y=197

______________________

     2y= 31

       y=15.5

substitute value of y=17 in eq 1

2x+3y=83

2x+3(15.5)=83

2x+46.5=83

2x =36.5

x=18.25

what percent of $717 is $239?​

we have that

717 represent the 100%

so

Apply proportion

100/717=x/239

solve for x

x=(100/717)*239

x=

Answer:

N= -4

Step-by-step explanation:

Answer: Okay the numbers you put was confusing but I think I got it.

42÷6=x

Step-by-step explanation:if 6 can sit a a table then dividing the number of people by 6 gives the answer.

42:6=7

Step-by-step explanation:

u have to find out how many tables you need and u have 42 people with 6 at each so devide 42 by 6 and u get 7

Answer:

-34 - 24i

Step-by-step explanation:

To calculate ( – 2 – 3i)^4, we can use the property that (a + bi)^n = a^n + (n*a^(n-1)b)i + (na^(n-2)*b^2)i^2 + ...

So, ( – 2 – 3i)^4 = (-2 - 3i) * (-2 - 3i) * (-2 - 3i) * (-2 - 3i)

= -2^4 - 2^3 * 3i - 2^2 * 3^2i^2 - 2 * 3^3i^3 - 3^4i^4

= -16 - 24i + 18i^2

= -16 - 24i -18

= -34 - 24i

The calculated volume of the prism is 702 cubic cm

From the question, we have the following parameters that can be used in our computation

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

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Answer:

10 units^2

Step-by-step explanation:

The value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80 is n = 1.

To find the value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80, we can use polynomial long division. Let's perform the division step by step:

Write the dividend and divisor in polynomial long division format:

_________________________

x + 3 │ x^(2n-1) + 0x^(2n-2) + 0x^(2n-3) + ...

Divide the leading term of the dividend (x^(2n-1)) by the leading term of the divisor (x). The result is x^(2n-1)/x = x^(2n-2).

Multiply the divisor (x + 3) by the quotient obtained in the previous step (x^(2n-2)). The result is x^(2n-2) * (x + 3) = x^(2n-1) + 3x^(2n-2).

Subtract the result obtained in step 3 from the original dividend:

x^(2n-1) + 0x^(2n-2) + 0x^(2n-3) + ... - (x^(2n-1) + 3x^(2n-2)) = -3x^(2n-2) + 0x^(2n-3) + ...

Bring down the next term of the dividend (which is 0x^(2n-3)) and repeat steps 2-4 until the remainder is constant.

Since we are given that the remainder is -80, we can set the remainder equal to -80 and solve for 'n'.

-3x^(2n-2) + 0x^(2n-3) + ... = -80

Since the remainder is constant (-80), it means that all the terms with x have been canceled out in the division process. Therefore, we can deduce that the highest power of x in the divisor (x + 3) is 0.

This implies that x^(2n-2) = 0, and for any value of 'n', the exponent 2n-2 should be equal to zero. Solving this equation:

2n-2 = 0

2n = 2

n = 1

Therefore, the value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80 is n = 1.

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Answer:

y = 40, x = 9

Step-by-step explanation:

2(3y)+2(2y-20)=360

y = 40

2x=18

x = 9

Answer:

I'ts a parabola with vertex in \((0,-2)\) and crossing the x-axis in \((\mp\sqrt2; 0)\)

Depending on how accurate you want your graph to be you might want to put values in there to get more points and then then draw it. Result should be something like the one in picture.

Answer:

Step-by-step explanation:

I'm sorry, but I'm not sure what you're asking. It's not clear to me what you mean by "point (3'6)" or "(3-5)." Could you please provide more information or clarify your question

Answer:

IM pretty sure b) and c)

Step-by-step explanation:

The length of the segment in circle (9) is the radius x = 6. And the length of the segment in (10) is x = 8.9

A circle is a two-dimensional shape that is defined as a set of points that are equidistant from a single fixed point, called the center. The radius of a circle is the distance from the center to any point on the circumference. All radii of a circle are equal in length. While the diameter of a circle is a straight line passing through the center of the circle and touching two points on the circumference. The diameter is always twice the length of the radius.

For question (9):

the segments indicated as x and 6 are radii of the circle so;

x = 6

For question (10):

the radius = 31.6/2 = 15.8

also;

the radius = 6.9 + x

so;

x = 15.8 - 6.9

x = 8.9.

Therefore, the The length of the segment in circle (9) is the radius x = 6. And the length of the segment in (10) is x = 8.9

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