The ratio of the perimeter of a square A and square B is 4:3. The side of square B is 3 m less than the side
of square A. What is the length of the side of square A?
please answer

56/120

Step-by-step explanation:

The body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

To express the body mass of the man's two children in terms of their father's body mass, we can use the given ratios.

Let the body mass of the man be x kg.

The first child's body mass is five-sixths of their father's body mass:

Body mass of the first child = (5/6) * x

= 5x/6 kg.

The second child's body mass is four-fifths of their father's body mass:

Body mass of the second child = (4/5) * x

= 4x/5 kg.

Therefore, the body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

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Answer:

10

Step-by-step explanation:

\(2(x + y)^{2} = 116 \\ {(x + y)}^{2} = \frac{116}{2} \\ {(x + y)}^{2} = 58....(1) \\ xy = 24.....(2) \\ \because \: {(x + y)}^{2} = {x}^{2} + {y}^{2} + 2xy \\ \therefore \: 58 = {x}^{2} + {y}^{2} + 2 \times 24 \\ \therefore \: 58 = {x}^{2} + {y}^{2} + 48 \\ \therefore \: {x}^{2} + {y}^{2} = 58 - 48 \\ \huge \purple{ \boxed{\therefore \: {x}^{2} + {y}^{2} = 10}}\)

Answer:

10

Step-by-step explanation:

2(x+y)^2=116

xy= 24

x^2+y^2 =?

---------------

x^2+y^2= (x+y)^2- 2xy

Answer:

C. 19/9

Step-by-step explanation:

The money that Riley has is $0.95.

Determine how many of each type of coin Riley has based on the fractions:

The value of each coin in US currency is as follows:

Calculate the total amount of money Riley has:

From the quarters: 3 quarters × 25 cents = 75 cents

From the nickels: 2 nickels × 5 cents = 10 cents

From the dime: 1 dime × 10 cents = 10 cents

Adding these up, Riley has a total of 75 + 10 + 10 = 95 cents or $0.95.

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Answer:

B. (-1, 0)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

To find the solution set of a systems of equations, the point where the 2 lines intersect would show the solution for the systems.

According to the graph given, both lines intersect each other at x = -1.

Therefore, our answer is B.

Answer:

448

Step-by-step explanation:

You just need to multiply 28 by 16

72 miles, distance travelled by Nakeisha's family when Nakeisha fell asleep.

Percentage is a part of the whole number. It is denoted by % sign.

1 %= 1/100.

Given that,

Total distance of the trip = 400 miles,

The percentage of distance when Nakeisha fell asleep = 18%.

The distance when Nakeisha fell asleep,

= 400×18/100

= 72 miles

The distance travelled by Nakeisha's family when Nakeisha fell asleep is 72 miles.

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Theres is a rectangular triangle inscribed innthe circunference

its the triangle STW

then

1. A cord is a line between two pointsnin circumference ,

Its. TW

2.A secant is a LINE that cuts a circle in two points, in this case its represented by line QU

3. A tangent is a line that cuts a circle in ONE point only. In this case is formed by line PV

She need 5 minutes to reach each page.

In mathematics, the absence of acceleration is referred to as a constant rate. A function that has a constant rate typically has a second derivative of 0.

The function would be plotted as a straight line on a piece of graph paper if the change in y (or rate) were constant. When anything moves at a fixed, steady pace or at an average speed, it is said to be moving at a constant rate, also known as a uniform rate. For instance, 3 hours pass while driving. In the first hour, it travels 30 miles, in the second hour, 45 miles, and in the third hour, 75 miles.

Given,

time she needs to read 8 pages = 40 minutes

time she needs to read 1 pages = 40/8

=5 minutes

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All the lenghths of the triangle are the same length

Answer: Jerry will have to grow 24 more inches to reach his max Height of 72 inches. If you put this into an inequality it would be 48 plus a number that is more significant than or equal to 72

Step-by-step explanation:

48+X_>72

Answer:

Maybe if you could be a bit clear with what you need help with? are you struggling with plotting the points? are stuck on the equation that was given? and do you understand slope intercept form?

I can help you with the equation since that's not the full equation:

-2y = -x + 10

so you divide the -2 and then also divide it on the other side

-2y = -x + 10

-2         -2

cross out the -2's on the left side but do not cross out the y since you will need that. Then divide the numbers so:

 -1 % -2 is 0.5 but we don't use decimals in our equation so just put

-1/-2x

then do 10 % -2 and you should get -5

so put the equation together:

y = -1/-2x - 5

(Is that all or do you need help with anything else?)

Answer:

Distributive Property

Step-by-step explanation:

You can distribute the 5 to the 6 and 9 in the parenthesis.

Answer:

distributive

is the letter A

a. 405000 - 6 significant digits        b. 0.0098 - 2 significant digits

c. 39.999999 - 9 significant digits   d. 13.00 - 4 significant digits

e. 80,000,089 - 8 significant digits  f. 55,430.00 - 7 significant digits

g. 0.000033 - 2 significant digits     h. 620.03080 - 8 significant digits

a. The number 405,000 has four significant digits: 4, 0, 5, and 0.

b. The number 0.0098 has two significant digits: 9 and 8.

c. The number 39.999999 has eight significant digits: 3, 9, 9, 9, 9, 9, 9, and 9.

d. The number 13.00 has four significant digits: 1, 3, 0, and 0.

e. The number 80,000,089 has eight significant digits: 8, 0, 0, 0, 0, 0, 8, and 9.

f. The number 55,430.00 has six significant digits: 5, 5, 4, 3, 0, and 0.

g. The number 0.000033 has three significant digits: 3, 3, and 3.

h. The number 620.03080 has eight significant digits: 6, 2, 0, 0, 3, 0, 8, and 0.

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the maximum angle of projection is 45°. Therefore, the ball will not pass over the wall for any α.

a) Horizontal and vertical components of velocity and position

Let's assume that the initial velocity of the particle is v₀ and the angle with the horizontal is θ.

Then, the horizontal and vertical components of the velocity and position can be calculated as below:Horizontal component of velocity, vx = v₀ cos θ

Vertical component of velocity, vy = v₀ sin θVertical position, y = v₀t sin θ - (1/2)gt²

Horizontal position, x = v₀t cos θTime of flight, t₀ = 2v₀ sin θ / g

Time of reaching maximum height, t₁ = v₀ sin θ / g

Time of falling back to the ground, t₂ = 2v₀ sin θ / g

Total time, t_hit = t₀ = t₂b) Kinetic and potential energy

At any time t, the velocity v can be calculated as:v = sqrt(vx² + vy²)

Now, we need to prove that the ball will not pass over the wall for any α.

The maximum height that the ball can reach is given by the formula: H = (v₀ sin α)² / 2gIf H > h,

then the ball can pass over the wall. Hence, on substituting H = h, we get:sin² α = h / (2h) = 1 / 2sin α = 1 / sqrt(2) = 0.7071α = 45°

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Answer:

The 27th term is 73.5.

Step-by-step explanation:

We want to find the 27th term of the arithmetic sequence:

15, 17.25, 19.5, 21.75, ...

We can write a direct formula. Recall that the direct formula for an arithmetic sequence is given by:

\(x_n=a+d(n-1)\)

Where a is the initial term and d is the common difference.

From the sequence, we can see that our initial term a is 15.

To find the common difference, subtract a term and its previous term. Thus, the common difference will be:

\(d=17.25 - 15 = 2.25\)

Thus, our direct formula is:

\(x_n=15+2.25(n-1)\)

To find the 27th term, let n = 27. Substitute and evaluate:

\(\displaystyle \begin{aligned} x_{27} &=15+2.25((27)-1) \\ &= 15+2.25(26) \\&= 15+58.5 \\ &= 73.5\end{aligned}\)

Thus, the 27th term is 73.5.

Answer:

(2, -9)

Step-by-step explanation:

Let the coordinates of S be (x,y).

\(\frac{0+x}{2}=1 \implies x=2 \\ \\ \frac{3+y}{2}=-3 \implies y=-9 \\ \\ \therefore S=(2,-9)\)

The coordinate of point S is (2, -9) if the coordinates of point T are (0,3). The midpoint of ST is (1, -3).

It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).

\(\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|\)

It is given that:

The coordinates of point T are (0,3). The midpoint of ST is (1, -3).

Let the coordinate of point S is (x, y)

(x + 0)/2 = 1

x = 2

(y + 3)/2 = -3

y + 3 = -6

y = -9

The coordinate of point S is (2, -9)

Thus, the coordinate of point S is (2, -9) if the coordinates of point T are (0,3). The midpoint of ST is (1, -3).

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Answer:

⅞ pound

Step-by-step explanation:

You received 1/4 pound of candy from your grandmother.

You received 1/2 pound of candy from your sister.

You received 1/8 pound of candy from your best friend.

The total amount of candy you received is given as the sum of all the candy that he received from your grandmother sister and best friend.

The total amount of candy is therefore:

¼ + ½ + ⅛ = ⅞ pound

You received ⅞ pound of candy in total.

Answer:

y = -4

Step-by-step explanation:

y = 6 is line that is parallel to x-axis

So, the required is also parallel to x -axis

The equation of line parallel to x-axis , y = c, where c is y-intercept

y = - 4

Answer:

number n = 8

Step-by-step explanation:

let the number be n then adding it to 10 gives 10 + n

multiplying this by 6 gives 108 , that is

6(10 + n) = 108 ( divide both sides by 6 )

10 + n = 18 ( subtract 10 from both sides )

n = 8

the original number is 8

The integral of cos(3πt)i + sin(2πt)j + \(t^3\)k with respect to t is (1/3π)sin(3πt)i - (1/2π)cos(2πt)j + (1/4)\(t^4\)k + c, where c is the constant of integration.

To evaluate the integral, we integrate each component separately.

The integral of cos(3πt) with respect to t is (1/3π)sin(3πt), where (1/3π) is the constant coefficient from the derivative of sin(3πt) with respect to t.

Therefore, the integral of cos(3πt)i is (1/3π)sin(3πt)i.

Similarly, the integral of sin(2πt) with respect to t is -(1/2π)cos(2πt), where -(1/2π) is the constant coefficient from the derivative of cos(2πt) with respect to t.

Thus, the integral of sin(2πt)j is -(1/2π)cos(2πt)j.

Lastly, the integral of \(t^3\) with respect to t is (1/4)\(t^4\), where (1/4) is the constant coefficient from the power rule of differentiation.

Hence, the integral of \(t^3\)k is (1/4)\(t^4\)k.

Putting it all together, the integral of cos(3πt)i + sin(2πt)j + \(t^3\)k with respect to t is (1/3π)sin(3πt)i - (1/2π)cos(2πt)j + (1/4)\(t^4\)k + c, where c represents the constant of integration.

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Answer:

Step-by-step explanation:

Explanation in image

Step-by-step explanation:

novels : cookbooks : reference books

Answer:

6 : 33 : 8

Step-by-step explanation:

cookbook = C

novel = N

reference book = R

C : N = 2 : 11

C : R = 3 : 4

C : N : R = ?

Start with C : N = 2 : 11

2 is not divisible by 2, so multiply this ratio by 3.

C : N = 6 : 33

C : R = 3 : 4 multiply by 2 to get

C : R = 6 : 8

C : N : R = 6 : 33 : 8

Answer: 5, 6, √39

Step-by-step explanation:

√39 = 6.24

therefore, the order is 5, 6, √39

When booking a show for a future date, it is normal practice for the booking agent to collect a 50% advance fee when the advances are not given for shows. This is to ensure that the performer is fully committed to performing at the event and to cover any expenses that may be incurred in the process.

The advance fee is usually non-refundable and is paid by the promoter or venue operator to the booking agent. This is to show their commitment to the performer and to demonstrate that they are serious about booking them for the event. The remaining balance is then usually paid on the day of the performance or shortly after.

The booking agent should also ensure that all parties involved in the booking are aware of the terms and conditions and have signed a contract or agreement to confirm their agreement.

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Answer: 3.4

Step-by-step explanation:

7.2 - 3.8

The minimum point at \((6.2,3.8)\) is \(3.4\).

What is the trigonometry function?

Trigonometric functions are also known as Circular Functions can be simply defined as the functions of an angle of a triangle.

It means that the relationship between the angles and sides of a triangle are given by these trig functions.

Here given that,

In the trigonometry functions it intersects its midline at \((8.7, 7.2)\), and it has a minimum point at \((6.2,3.8)\).

So,

\(7.2 - 3.8=3.4\)

So, the minimum point at \((6.2,3.8)\) is \(3.4\).

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A z-score of 2.14 indicates that Katie's score on the test is quite high and unusual, and places her in the top 2% of the scores in the population.

Katie scored a 93 on a test and her calculated z score was 2.14, that means that her score is 2.14 standard deviations above the mean of the test scores.

A z score represents the number of standard deviations a data point is from the mean of the data set.

A positive z score means that the data point is above the mean, while a negative z score means that the data point is below the mean.

The mean of the test scores was, 80 with a standard deviation of 5, then Katie's z score would be calculated as:

z = (x - μ) / σ

= (93 - 80) / 5

= 2.6

Z scores are useful for comparing data points from different data sets or for comparing data points within the same data set that are measured on different scales.

Katie's score is 2.6 standard deviations above the mean.

A z score of 2.14 would mean that Katie's score is slightly below this value, but still significantly above the mean.

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Answer: 52 degrees.

Step-by-step explanation:

A triangle adds up to 180 degrees total, and we know one angle. 180 minus the known angle (76) is 104.

Because the two lines are the same, the angle at D and F are also the same. Divide 104 in half, and they are both 52 degrees.

Answer:

D

Step-by-step explanation:

In 2 hours they wash 8 cars total so...

8

16

24

The extra time is 15 mins for 2 cars

Answer:

X is 9/2, or 4.5