What do I write for this question

Therefore , the solution of the given problem of square comes out to be

RS= 3 √3/4 unit.

Euclidean geometry states that a square is a quadrilateral square has four equal sides plus four equal angles. A rectangle has two adjacent sides that are of the same length is another name for it. An equilateral quadrilateral is one that has a square as one of its four equal sides and four equal angles. A square angle is one that is 90 degrees or straight. The diagonals of the square are also split at a 90 degrees and are equally spaced. a rectangle next to it that has two sides of equal length. four equal-length sides and four right angles make up a quadrilateral. a parallelogram with a right angle formed by two neighboring, equal sides. rectangle with straight sides.

Here,

Given :

PQ⊥RS

=> c−a=b−d.1)

=> PQ=  3 √3/4

​=> PQ² = 27/16

​=> 1+(a−c)² =27/16

​

=> RS= √(b−d)² +1   (3)

=> By equation (1),(2)and (3)

RS= 3 √3/4

Therefore , the solution of the given problem of square comes out to be

RS= 3 √3/4 unit.

To know more about square visit:

https://brainly.com/question/14198272

#SPJ4

​

​

The new point we will get P(\(1,2\sqrt{3}\)) when we rotate the point \((3,2\sqrt 3)\) around the point (2, \(\sqrt{3}\)) by  60⁰ counterclockwise.

Rotating point A \((3,2\sqrt 3)\)\((3,2\sqrt 3)\)  around point  O\((2,\sqrt 3)\) by 60⁰ counterclockwise.

Let us get point P as result.

so, assuming  O is the center of a circle which has radius = r

r = \(\sqrt{(2-3)^2 + (\sqrt{3}-2\sqrt{3})^2 }\)

or r = 2

And point A and P(x,y) are on the circumference of the circle.

so, the coordinates of point P(x,y) will as follows

x = Oₓ + (Aₓ-Oₓ)cosθ - (Ay-Oy)sinθ

or x = 2 + (3-2)cos60⁰ - \(\sqrt{3}\)sin60⁰ = 2+1/2-3/2 = 1

And y = Oy + (Aₓ-Oₓ)sinθ + (Ay-Oy)cosθ

y = \(\sqrt{3}\) + \(\sqrt{3} /2\) + \(\sqrt{3} /2\) = \(2\sqrt{3}\)

so, P(\(1,2\sqrt{3}\)}

Therefore, the new point we will get P(\(1,2\sqrt{3}\)) when we rotate the point \((3,2\sqrt 3)\) around the point (2, \(\sqrt{3}\)) by  60⁰ counterclockwise.

#SPJ4

To learn more about Rotating a point on a circle:

https://brainly.com/question/19527326

Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

Answer:

x = ±3 sqrt(2)

Step-by-step explanation:

x^2 = 18

Take the square root of each side

sqrt(x^2) = sqrt(18)

x = ± sqrt(18)

x =±sqrt(9*2)

x = ±sqrt(9) sqrt(2)

x = ±3 sqrt(2)

The pmf of X = the number of children in the family is

1/4 + 3/8 + 3/8 =1

It is given that,

a family decides to have children until it has three children of the same gender i.e. BBB or GGG.

X can take the values {3,4,5}

and we know that

P(X = 3) + P(X = 4) + P(X = 5) = 1

We will find each term one by one,

P(X = 3) = (\(\frac{1}{2} * \frac{1}{2} * \frac{1}{2}\))*2

             = \(\frac{1}{8}\) * 2

P(X = 3) = \(\frac{1}{4}\)

P(X = 4) = (\(\frac{1}{2} * \frac{1}{2} * \frac{1}{2} * \frac{1}{2}\))*6

             = (\(\frac{1}{16}\)) * 6

P(X =4)  = \(\frac{3}{8}\)

P(X = 5) = (\(\frac{1}{2} * \frac{1}{2} * \frac{1}{2} * \frac{1}{2} * \frac{1}{2}\))*12

             = (\(\frac{1}{32}\))* 12

P(X = 5) = \(\frac{3}{8}\)

Therefore the pmf equation implies,

\(\frac{1}{4} + \frac{3}{8} + \frac{3}{8}\) = \(\frac{32}{32}\) = 1.

The probability mass function (pmf) is also called a probbility function or frequency which characterizes the distribution of a discrete random variable. It is a function over the sample space of a discrete random variable X which gives the probability that X is equal to a certain value.

To know more about probability here

https://brainly.com/question/28812653

#SPJ4

Answer:

5, 18 and 7 respectively

Step-by-step explanation:

4+9+5=18

18+7=35

Answer:The top box is 11 making the middle boxes 15 20

Step-by-step explanation:

4 11 9

4+11  11+9

15 20

15+20

35

We must know the following exponent rules to help us solve this question:

\(3^p=\dfrac{\sqrt[3]{9}}{3}\)

⇒ Rewrite \(\sqrt[3]{9}\) as \(9^\frac{1}{3}\):

\(3^p=\dfrac{(3^2)^\frac{1}{3}}{3}\)

⇒ Multiply:

\(3^p=\dfrac{3^\frac{2}{3}}{3}\)

⇒ Subtract:

\(3^p=3^{\frac{2}{3}-1}\)

\(p=\dfrac{2}{3}-1\\\\p=-\dfrac{1}{3}\)

\(p=-\dfrac{1}{3}\)

Answer:

How are we supposted to do your homework if we dont have a picture or explanation of it??

Step-by-step explanation:

a) To find the inverse Laplace transform of F(s - a) = (s - a)^2, we can use the formula:

L^-1[F(s - a)] = e^(at) * L^-1[F(s)]

where L^-1[F(s)] is the inverse Laplace transform of F(s).

The Laplace transform of (s - a)^2 is:

L[(s - a)^2] = 2!/(s-a)^3

Therefore, the inverse Laplace transform of F(s - a) = (s - a)^2 is:

L^-1[(s - a)^2] = e^(at) * L^-1[2!/(s-a)^3]

= t*e^(at)

b) To find the inverse Laplace transform of F(s - a) = (s - a)^2 + ω^2, we can use the formula:

L^-1[F(s - a)] = e^(at) * L^-1[F(s)]

where L^-1[F(s)] is the inverse Laplace transform of F(s).

The Laplace transform of (s - a)^2 + ω^2 is:

L[(s - a)^2 + ω^2] = 2!/(s-a)^3 + ω^2/s

Therefore, the inverse Laplace transform of F(s - a) = (s - a)^2 + ω^2 is:

L^-1[(s - a)^2 + ω^2] = e^(at) * L^-1[2!/(s-a)^3 + ω^2/s]

= te^(at) + ωe^(at)

c) The transfer function C(s)/R(s) of the given differential equation can be found by taking the Laplace transform of both sides:

L[3d^2c/dt^2 + 5dc/dt + c] = L[r(t) + 3r(t-2)]

Using the linearity and time-shift properties of the Laplace transform, we get:

3s^2C(s) - 3s*c(0) - 3dc(0)/dt + 5sC(s) - 5c(0) = R(s) + 3e^(-2s)R(s)

Simplifying and solving for C(s)/R(s), we get:

C(s)/R(s) = 1/(3s^2 + 5s + 3e^(-2s))

Therefore, the transfer function C(s)/R(s) of the given differential equation is 1/(3s^2 + 5s + 3e^(-2s)).

learn more about Laplace transform here

https://brainly.com/question/31689149

#SPJ11

The expected real rate of interest can be calculated by subtracting the expected inflation rate from the yield of the Treasury bill. In this case,  the expected real rate of interest is 1.5%.

The real rate of interest represents the return on an investment adjusted for inflation. It indicates the actual purchasing power gained from an investment after accounting for the erosion of value due to inflation. To calculate the expected real rate of interest, we subtract the expected inflation rate from the nominal interest rate.

In this scenario, the one-year Treasury bill yields 4.5%, which is the nominal interest rate. The expected inflation rate is 3%. To determine the expected real rate of interest, we subtract the expected inflation rate from the nominal interest rate: 4.5% - 3% = 1.5%.

Therefore, the expected real rate of interest is 1.5%. This means that after adjusting for the expected inflation rate of 3%, the investor can expect a real return of 1.5% on their investment in the one-year Treasury bill.

Learn more about interest here:

brainly.com/question/29335425

#SPJ11

Point A is located at (4, 4) in the coordinate plane.With these dimensions, we can determine that Point A is located at (4, 4) in the coordinate plane.

To find the coordinates of point A, we need to consider the properties of the shaded region. The shaded region consists of a rectangle and a triangle. We know that the area of the shaded region is 120 square units, and the height of the line segment above the horizontal axis is 4 units.

The rectangle's area is given by its length multiplied by its width. Since the height of the rectangle is 4 units, we can deduce that the length of the rectangle is also 4 units. Therefore, the width of the rectangle can be found by dividing the total area of the shaded region by the length of the rectangle.

Subtracting the width of the rectangle from the total width of the shaded region will give us the base of the triangle. Since the triangle is isosceles, the base length is equal to the height of the rectangle.

Learn more about isosceles here

brainly.com/question/32587870

#SPJ11

Answer:

Step-by-step explanation:

The first one is equal to.  203/203 is equal to 1.  1 times any number is itself.

The second on is less than.  9/37 is a proper fraction and when a number is multiplied by a proper fraction, it gets smaller.

Answer:

\((B) a=\dfrac{T-b-c-d}{4}\)

Step-by-step explanation:

Let the points for the three local matches be b, c, and d.

Let a be the number of points at the district match.

Since district match points count for four times the number of points than local matches do.

Total Points, T=4a+b+c+d

Next, we make 'a' the subject of the formula.

\(T=4a+b+c+d\\4a=T-b-c-d\\$Divide both sides by 4$\\a=\dfrac{T-b-c-d}{4}\)

The correct option is B.

Answer:

B.  a equals T minus b minus c minus d all over 4

Step-by-step explanation:

Good luck! Hope this helped :)

Answer:

-7x+8

Step-by-step explanation:

Answer:

-7x+8

Step-by-step explanation:

Hope this helps!

Answer:

Answer:

ac =13x-35

m/abc = 7y-8

Step-by-step explanation:

in first to minus of same base

second it remain same because it can't be subracted with different base

Answer:

6 & -10

Step-by-step explanation:

Given :

And we need to find the Zeroes of the given function .For that equate the polynomial with 0 , we have ,

\(:\implies\) f(x) = 0

\(:\implies\) ( x + 2 )² - 64 = 0

\(:\implies\) ( x + 2)² = 64

\(:\implies\) ( x + 2 ) = √64

\(:\implies\) ( x + 2) = ± 8

\(:\implies\) x = -2 ±8

\(:\implies\) x = -10 , 6

Hence the value of 6 and -10 .

Answer:

x=1 I'm not sure if I'm correct

Step-by-step explanation:

4x2x=8x

4x3=12

4x3x=12x

4x2=8

8x+12=12x+8

8x-12x= 8-12

-4x=-4 divide -4x in both side so the answer should be x=1

Answer:

35 quarter's and 5 dimes

Answer:

y=0

Step-by-step explanation:

Horizontal Asymptote of the given function is :

\( \boxed{ \boxed{y = 0}}\)

let's Calculate the limits :

\(lim \: \: {\tiny{x→∞}} \: \: \dfrac{(x+5)}{(x3+27)}=0 \\ \\ lim \: \: {\tiny{x→ - ∞}} \: \: \dfrac{(x+5)}{(x3+27)}=0  \\ \\ \)

Therefore, the horizontal asymptote is y = 0

Answer:

Total amount of water = 5,200,000

Step-by-step explanation:

Given:

water produced = 50,000 quarts of water per week

Production drop = 5% = 0.05 per year

Number of week in year = 52 week

Find:

Total amount of water

Computation:

Sum = a / r

a = 50,000 x 52

a = 2,600,000

Sum = a / [1-r]

Sum = 2,600,000 / 5%

Sum = 2,600,000 / 0.05

Total amount of water = 5,200,000

The area of the segment is 28.92 unit square

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

Angle, θ = 50 degrees

Radius, r = 15 units

Using the above as a guide, we have the following:

Area of a segment =  (½) × r² × [(π/180)(θ – sin(θ)]

Substitute the known values in the above equation, so, we have the following representation

Area of a segment =  (½) × 15² × [(π/180)(15 – sin(15 degrees)]

Evaluate

Area of a segment =  28.92

Hence, the area is 28.92

Read more about area at

https://brainly.com/question/22972014

#SPJ1

Answer:

9.

Step-by-step explanation:

x^2-6x+32=0

You would have to add (-6/2)^24= 3^2 = 9.

x^2 - 6x + 9 = -32 + 9

(x - 3)^2 = -23

For quadratic equation \(x^2-6x+32=0\), to complete the square we have to add 9

"An equation of the form \(ax^{2} +bx+c=0\) where a, b, c are real numbers and a ≠ 0"

For given question,

We have been given an quadratic equation \(x^2-6x+32=0\)

By comparing above quadratic equation with \(ax^{2} +bx+c=0\) we have,

\(a=1,b=-6,c=32\)

To solve the given quadratic equation by completing the square method, we need to add \((\frac{b}{2a} )^2\)

\((\frac{b}{2a} )^2\\\\=(\frac{-6}{2\times 1} )^2\\\\=(-3)^2\\\\=9\)

Therefore, for quadratic equation \(x^2-6x+32=0\), to complete the square we have to add 9

Learn more about the completing the square method here:

https://brainly.com/question/4822356

#SPJ2

By finding the vertical and horizontal asymptotes, you can use them to help find an expression for the rational function

To find an expression for a rational function given a vertical asymptote and a horizontal asymptote, start by recognizing that the general form of a rational function is f(x) = (ax + b)/(cx + d), where a, b, c, and d are all constants.

Next, use the given information to solve for a, b, c, and d in the equation. The vertical asymptote represents the x-values at which the denominator of the equation equals zero, so set cx + d equal to zero and solve for x. Similarly, the horizontal asymptote can be found by setting ax + b equal to the asymptote’s y-value.

Once both equations are solved for x, substitute the x-values back into the equation for the rational function and solve for the corresponding a, b, c, and d values.

A vertical asymptote occurs when the denominator of the rational function is equal to zero, so you can set the denominator equal to zero and solve for the variable to find the vertical asymptote.

A horizontal asymptote occurs when the degree of the numerator and denominator are equal, so you can look at the leading coefficients of the numerator and denominator to find the horizontal asymptote.

Know more about asymptotes here:

https://brainly.com/question/4138300

#SPJ11

Okay, here we have this:

First let's calculate how much is he earning selling 20 glasses each glass for 10¢:

Actual Earnings=20*10¢=200¢

Now, let's calculate how much will he earn if raises the price to 20¢ and sell the 15 glasses that he is estimating:

Future Earning=15*20¢=300¢

Let's calculate the diference now:

Diference=300¢-200¢=100¢

According with this he will earn 100¢ more if he charges 20¢ per glass instead of 10¢.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Factorize 12 and 24

12 = 2 * 2 * 3

24 = 2 * 2 * 2 * 3

GCF = 2 * 2 * 3 = 12

12 + 24x = 12*1 + 12 * 2 *x

             = 12*(1 + 2x)

0.54

Simplify ——

10

Equation at the end of step

1

:

6 9

—— • ——

10 10

STEP

2

:

3

Simplify —

5

Equation at the end of step

2

:

3 9

— • ——

5 10

STEP

3

:

Final result :

27

—— = 0.54000

50