Breadth of a rectangle i 5cm le than length. If breadth of the rectangle i 13cm ,find the area

The side length of the square game board with an area of 113 (in)² is approximately 10.63 in.

The area of any two-dimensional figure is the space occupied within its boundary.

The area of a square with side length a, is calculated using the formula, A = a² square units.

In the question, we are asked to find the approximate side length of a square game board with an area of 113 (in)².

Since the game board is square in shape, we can apply the formula for the area of a square.

We assume the side length to be a in.

By the formula for the area of a square, we can calculate the area of the square game board to be a² (in)².

But, the area of the square game board is given to be 113 (in)².

Thus, we get an equation:

a² = 113,

or, a = √113,

or, a = 10.63014581273465,

or, a ≈ 10.63.

Thus, the side length of the square game board with an area of 113 (in)² is approximately 10.63 in.

Learn more about the area of a square at

https://brainly.com/question/28238956

#SPJ9

Σ={0,1} and the language L of all strings that do not begin with 01.

Regex = (1|0)*(0|ε).

Regular expressions for the following regular languages:

a. Σ={a,b} and the language L of all words of the form one a followed by some number of ( possibly zero) of b's.

Regex = a(b*).b.

Σ={a,b} and the language L of all words of the form some positive number of a's followed by exactly one b.

Regex = a+(b).c. Σ={a,b} and the language L which is of the set of all strings of a′s and b′s that have at least two letters, that begin and end with one a, and that have nothing but b′s inside ( if anything at all).

Regex = a(bb*)*a. or, a(ba*b)*b.

Σ={0,1} and the language L of all strings containing exactly two 0 's.

Regex = (1|0)*0(1|0)*0(1|0)*.e. Σ={0,1} and the language L of all strings containing at least two 0′s.Regex = (1|0)*0(1|0)*0(1|0)*.f.

Σ={0,1} and the language L of all strings that do not begin with 01.

Regex = (1|0)*(0|ε).

To know more about strings, visit:

https://brainly.com/question/30099412

#SPJ11

Answer:

Three times p plus eight equals twenty

Step-by-step explanation:

To start, the + sign is just read as plus, and the = sign is just equals.

3p refers to three times p, and the numbers 8 and 20 are just read as eight and twenty.

So, we now have three times p plus eight equals twenty.

The future value (A) is approximately 5610.2 for the given investment and annu $4000 for 5 years at 7% compounded annually

To find the compound amount and compound interest rate for the given investment, we can use the formula for compound interest:

(a) The compound amount in the account after 5 years can be calculated using the formula:

A = P(1 + r/n)^(nt)

Where A is the compound amount, P is the principal (initial investment), r is the interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

Given that the principal (P) is $4000, the interest rate ® is 7%, and the interest is compounded annually (n = 1), and the investment is for 5 years (t = 5), we can plug these values into the formula:

A = 4000(1 + 0.07/1)^(1*5)

A = 4000(1 + 0.07/1)^(1*5)

= 4000(1 + 0.07)^(5)

= 4000(1.07)^(5)

≈ 4000(1.402551)

≈ 5610.20

Therefore, the future value (A) is approximately 5610.2

Calculating this expression will give us the compound amount after 5 years.

(b) The compound interest earned can be calculated by subtracting the principal from the compound amount:

Compound interest = Compound amount – Principa

This will give us the total interest earned over the 5-year period.

By evaluating the expressions in (a) and (b), we can determine the compound amount and the compound interest earned for the given investment.

Learn more about compound interest rate here:

https://brainly.com/question/30501640

#SPJ11

SRRC is a pulse shaping filter used in digital communications to minimize intersymbol interference and improve the signal-to-noise ratio.

The square root raised cosine (SRRC) is a famous heartbeat molding channel utilized in computerized correspondences, especially in applications like advanced tweak and demodulation. It is intended to limit intersymbol obstruction (ISI) by restricting the data transmission of the sent sign while keeping a consistent envelope.

The SRRC channel is described by a reaction that is like the raised cosine channel, yet with a square root capability applied to the recurrence reaction. This outcomes in a smoother change between the passband and stopband, which assists with decreasing ISI and work on the sign to-clamor proportion.

The SRRC channel is usually utilized in correspondence frameworks that utilization quadrature sufficiency regulation (QAM) or stage shift keying (PSK) tweak plans, as it gives great ghastly control and heartbeat molding properties that are appropriate to these kinds of signs.

To learn ore about square root raised cosine, refer:

https://brainly.com/question/1566472

#SPJ4

Answer:

The correct answer is \(-\frac{3}{4} x-3\)

Answer:

2

Step-by-step explanation:

State the value of c = 0,138 and the reason based on the model on the question (d = \(\frac{v^{2} }{k}\) + c) and one of the numbers of speed and braking distance, also use the equation system.

We can take one of the numbers of speed and braking distance

In this case, we take 12.5 & 15 as speed and 7.8 &11.3 as braking distance

The model d = \(\frac{v^{2} }{k}\) + c, where D = distance, V = speed

First equation

d = 11.3, v = 15

d = \(\frac{v^{2} }{k}\) + c

11.3 = \(\frac{15^{2} }{k}\) + c

11.3 - c = \(\frac{225}{k}\)

k = \(\frac{225}{(11.3 - c)}\)---- we got K

Second equation

d = 7.8, v = 12.5

d = \(\frac{v^{2} }{k}\) + c

7.8 = \(\frac{12.5^{2} }{k}\) + c

7.8 = \(\frac{156.25}{k}\) + c

c = 7.8 – \(\frac{156.25}{k}\)  ---- replace K with the value that we got before

   = 7.8 – \(\frac{156.25}{\frac{225}{(11.3 - c)} }\)

   = 7.8 – (156.25 x \(\frac{(11.3 - c)}{225}\) )

   = 7.8 – ((11.3 - c) x 0.694 ))

   = 7.8 – (7.8422 - 0.694 c)

   = 7.8 – 7.8422 + 0.694 c

c – 0.694 c = -0,0422

(1 – 0.694) c = -0,0422

0.306 c = -0,0422

c = -0,0422/0.306

  = 0,138

Hence, based on model d = v²/k +c and using one of the numbers of speed and braking distance and also the equation system, we can state the c value is 0.138

Learn more about the Braking Distance on this link

https://brainly.com/question/13666022

#SPJ4

Answer:

3

Step-by-step explanation:

If 15 baseballs weigh 75 ounces, then 1 baseball weighs 75/15 = 5 ounces.

So, 15 ounces is equal to 15/5 = 3 baseballs.

You describe an angle as follow:

Angle ∠ABC: here the point in which the angle is, is the point B, just the word at the middle.

Based on the given triangle, you can consider the following:

1. right angle = ∠CFE (right angle is 90°)

2. obtuse angle = ∠BFE (obtuse angle is higher than 90°)

3. straight angle = ∠AFE (stright angle is 180°)

4. acute angle = ∠AFB (acute angle is less than 90°)

The correct answer is a. the average distance between M and µ that would be expected if H0 was true.

The denominator of the z-score test statistic measures the average distance between the sample mean (M) and the population mean (µ) that would be expected if the null hypothesis (H0) was true.

Option a. "the average distance between M and µ that would be expected if H0 was true" is the correct description of what is measured by the denominator of the z-score test statistic. It represents the standard error, which is a measure of the variability or dispersion of the sample mean around the population mean under the assumption of the null hypothesis being true.

Option b. "the actual distance between M and µ" is not accurate because the actual distance between M and µ is not directly measured by the denominator of the z-score test statistic.

Option c. "the position of the sample mean relative to the critical region" is not accurate because the position of the sample mean relative to the critical region is determined by the numerator of the z-score test statistic, which represents the difference between the sample mean and the hypothesized population mean.

Option d. "whether or not there is a significant difference between M and µ" is not accurate because the determination of a significant difference is based on comparing the calculated test statistic (z-score) to critical values, which involve both the numerator and the denominator of the z-score test statistic.

​for such more question on z-score

https://brainly.com/question/15222372

#SPJ8

The probability of having the disease given that the person tests positive twice depends on the prevalence of the disease and the accuracy of the test.

Assuming that a person is tested twice and the results are independent of each other, we can calculate the probability of having the disease given that the person tests positive twice. Let's say the probability of testing positive given that the person has the disease is p, and the probability of testing negative given that the person does not have the disease is q. Also, let's assume that the prevalence of the disease in the population is r.

The probability of testing positive twice given that the person has the disease is p^2. The probability of testing positive twice given that the person does not have the disease is (1-r)^2q^2. The probability of testing positive twice is the sum of these probabilities, which is p^2 + (1-r)^2q^2.

Now we can use Bayes' theorem to calculate the probability of having the disease given that the person tests positive twice. The formula is P(D|++) = P(++|D)P(D) / P(++), where P(D|++) is the probability of having the disease given that the person tests positive twice, P(++|D) is the probability of testing positive twice given that the person has the disease (p^2), P(D) is the prevalence of the disease (r), and P(++) is the probability of testing positive twice (p^2 + (1-r)^2q^2).

Substituting the values, we get P(D|++) = p^2*r / (p^2*r + (1-r)^2q^2). Therefore, the probability of having the disease given that the person tests positive twice depends on the prevalence of the disease and the accuracy of the test. If the prevalence of the disease is high and the test is accurate, then the probability of having the disease given a positive result is also high.

Learn more about probability brainly.com/question/30034780

#SPJ11

Answer:

9

Step-by-step explanation:

4-x = 5(16-x)

44-x = 80-5x

4x = 36

x = 9

Answer: 1 hand = 0.22... cubits.

Step-by-step explanation:

We want to write the relation between hands and cubits.

We know that there are 9 hands in 2 cubits.

So we can write:

9 hands  = 2 cubits.

Now, we want to have an unit in the left side (so we can see how many cubits are equal to exactly one hand).

Then we can divide by 9 in both sides of the equality.

(9 hands)/9 = (2 cubits)/9

1 hand = 0.22... cubits.

Answer:

22.5 hands = 3 paces

Step-by-step explanation:

Nobody answered b yet again.

Answer:

t = 60

Step-by-step explanation:

Using the rule of exponents

\((a^m)^{n}\) = \(a^{mn}\) , then

\((j^{-12}) ^{-5}\)

= \(j^{(-12(-5))}\)

= \(j^{60}\)

Then t = 60

Answer:

OH MY GOSH I DON'T KNOW BUT GL! WISH YOU THE BEST AAAAA-

Step-by-step explanation:

Answer:

ITS A

trust me it's quite simple. you just need to find the overall pattern of the sequence

Answer:

x = 21 and y = 83

Step-by-step explanation:

Since the figures are similar, then corresponding sides and angles are congruent, that is

GE = LA

x = 21

and

∠ I = ∠ M , so

y = 83

Answer:

The volume is about 4.24 cm^3.

Step-by-step explanation:

From the question we are told that:

Diameter\(d= 3-cm\)

Radius \(r=d/2=>1.5cm\)

Height risen\(14.6-14=0.6cm\)

Generally the equation for Volume of a Key is mathematically given by

Since Volume of a cylinder is Given as

\(V=\pir^2h\)

Therefore

\(V=\pi*1.5^2*0.6\)

\(V=4.2417\\\\V=4.24 cm^3\)

Correct Option A

The volume is about 4.24 cm^3.

Answer:

\(m = \frac{-3}{2}\)

Step-by-step explanation:

To find the slope, the slope formula will need to be used:

\(m = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}\)

Plug in the points:

\(m = \frac{-4-5}{8-2}\)

Simplify:

\(m = \frac{-9}{6} \\\\m = \frac{-3}{2}\)

Therefore, the slope of the line is :

\(m = \frac{-3}{2}\)

The probability that the Yankees would score fewer than 5 runs when they win the game is 0.32.

Let the events be A: Yankees win a game

B: Yankees score 5 or more runs

C: Yankees lose a game

D: Yankees score fewer than 5 runs

We are given the following probabilities:

P(A) = 0.56 (probability of winning)

P(B) = 0.46 (probability of scoring 5 or more runs)

P(C and D) = 0.32 (probability of losing and scoring fewer than 5 runs)

We want to find the probability of scoring fewer than 5 runs when they win the game, which is P(D|A).

We can use Bayes' theorem to find this probability:

P(D|A) = P(A and D) / P(A)

Using the definition of conditional probability:

P(D|A) = P(D and A) / P(A)

We know that P(D and C) = P(C and D), as both events represent the same outcome.

Using the fact that the sum of the probabilities of mutually exclusive events is equal to 1:

P(D and C) + P(B and C) = 1

Rearranging the equation:

P(D and C) = 1 - P(B and C)

Now, let's find P(D and A):

P(D and A) = P(D and A and C) + P(D and A and not C)

P(D and A) = P(D and A and C) + 0

P(D and A) = P(C and D and A)

Substituting the probabilities we have:

P(D|A) = P(C and D) / P(A)

P(D|A) = P(C and D) / P(C and D) + P(B and C)

P(D|A) = 0.32 / (0.32 + P(B and C))

We need to find P(B and C), which we can calculate using the given probabilities:

P(B and C) = P(C and B)

P(B and C) = P(C) - P(C and D)

P(B and C) = 1 - P(C and D)

P(B and C) = 1 - 0.32

P(B and C) = 0.68

Now we can substitute this value into the equation:

P(D|A) = 0.32 / (0.32 + 0.68)

P(D|A) = 0.32 / 1

P(D|A) = 0.32

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ1

There are 1820 different committees that can be chosen from the 16-member student council.

What is probability?

Probability is a measure of the likelihood of an event occurring.

The number of different committees that can be chosen from a group of n members, when choosing k members at a time, is given by the combination formula:

C(n, k) = n! / (k! * (n - k)!)

In this case, there are 16 students in the council and we need to choose a committee of 4 students. So we can substitute n=16 and k=4 into the formula to get:

C(16, 4) = 16! / (4! * (16 - 4)!) = 16! / (4! * 12!) = (16 * 15 * 14 * 13) / (4 * 3 * 2 * 1) = 1820

Therefore, there are 1820 different committees that can be chosen from the 16-member student council.

To learn more about probability from the given link:

https://brainly.com/question/30034780

#SPJ1

Answer:

slope of the line containing the given points (6,-1) AND (5,-7) is 6

point- slope form of the equation is

(y+1)= 6(x-6)  ( because, i'm choosing the point (6,-1)

Step-by-step explanation:

slope = (-7 + 1) / (5 - 6 ) = -6/-1 = 6

(y-y1) = m ( x - x1)

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

Given the n™ term of a number sequence, the first three terms of the sequence are 0, 2 and 6

The sequence is given as:

n^2 - n​

To write down the first three terms of the sequence, we set n =1, 2 and 3

So, we have:

When n = 1

n^2 - n​ = 1^2 - 1

Evaluate

n^2 - n​ = 0

When n = 2

n^2 - n​ = 2^2 - 2

Evaluate

n^2 - n​ = 2

When n = 3

n^2 - n​ = 3^2 - 3

Evaluate

n^2 - n​ = 6

Hence, the first three terms of the sequence are 0, 2 and 6

Read more about sequence at:

https://brainly.com/question/6561461

#SPJ1

Let's represent the area of the lawn with "x" (in square meters).

Maria charged $135 plus $9.55 per square meter, so her total earnings can be expressed as:

Total earnings = $135 + $9.55 x

We know that Maria was paid $1854, so we can set up an equation and solve for x:

$1854 = $135 + $9.55 x

Subtracting $135 from both sides:

$1719 = $9.55 x

Dividing both sides by $9.55:

x = 180

Therefore, the area of the lawn is 180 square meters.

Answer:

Step-by-step explanation:

Comment

Either you know the answer to this or you don't. There is no point in eliminating the wrong answers until you get to the right one. It is better to get to the right one immediately.

A rhombus and its diagonals have many interesting properties.  This one is one of those properties. The diagonals are not the same length. The diagonals bisect each other at right angles.

Answer: B

Answer:

\(2p^2\)

Step-by-step explanation:

Step 1: Apply the exponentiation property:

\((8p^6)^\frac{1}{3} = 8^\frac{1}{3} * (p^6)^\frac{1}{3}\)

Step 2: Simplify the cube root of 8:

The cube root of 8 is 2:

\(8^\frac{1}{3} =2\)

Step 3: Simplify the cube root of \((p^6)\):

The cube root of \((p^6)\) is \(p^\frac{6}{3} =p^2\)

Step 4: Combine the simplified terms:

\(2 * p^2\)

So, the simplified expression is \(2p^2\).

Answer:

27

Step-by-step explanation:

7(6) = 42. 42-15 is 27

The value of this function for f(6) is 27.

A function is defined as a relation between the set of inputs having exactly one output each.

Mr. Wilson wrote the function f(x) = 7x – 15 on the chalkboard.

WE need to find the value of this function for f(6).

So, plug 6 into x

7(6)-15

42 - 15

= 27

Hence, the value of this function for f(6) is 27.

Learn more about function here:

https://brainly.com/question/2253924

#SPJ2

Answer:

a=30°; b=40°;c=40°; d=40°; e=110°: f=110°; g=30°; h=140°; i=70°; j=70°

Answer:

2(3w+4)

Step-by-step explanation:

Given:

(W) is a variable with an unknown number

you are multiplying 5 by (w) variable

you are adding the 8 to (w) and 5w

1. Combine like terms:

8+w+5w

8+6w

2. Rearrange terms:

8+6w

6w+8

3. Common factor:

6w+8

2(3w+4)