PLEASE HELP! GIVING POINTS!

Answer:

The largest possible area of the deck is 87.11 m² with dimensions;

Width = 9.33 m

Breadth = 9.33 m

Step-by-step explanation:

The area of a given dimension increases as the dimension covers more equidistant dimension from the center, which gives the quadrilateral with largest dimension being that of a square

Given that the railings will be placed on three sides only and the third side will cornered or left open, such that the given length of railing can be shared into three rather than four to increase the area

The length of the given railing = 28 m

The sides of the formed square area by sharing the railing into three while the fourth side is left open are then equal to 28/3 each

The area of a square of side s = s²

The largest possible area of the deck = (28/3)² = 784/9 = 87.11 m² with dimensions;

Width = 28/3 m = 9.33 m

Breadth = 28/3 m = 9.33 m.

Answer:

6). unknown side is 6.23m

7). angle is 26.58 degrees

Step-by-step explanation:

you must use the Pythagoras theorem formula to find the unknown side if you have only two sides

Answer:

Step-by-step explanation:

Remark

You could use a formula to solve this

Cost per pound = Total Cost / # pounds

Problem One

Cost per pound = ?

Total Cost = 13.46

# pounds = 3.47

Solution

Cost per pound = 13.46/3.47 = 3.88 dollars / pound

Problem Two

Total Cost = 18.75

# pounds = 5.15

Solution

Cost per pound = 18.75 / 5.15 = 3.64 dollars / pound

The weight of the kitten will be less than the weight of the puppy till 2 weeks.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a puppy weighs 2.8 pounds at birth and gains about .5 pounds per week. A kitten weighs 1.4 pounds at birth and gains about 1.2 pounds per week.

The number of weeks will be,

2.8 + 0.5W = 1.4 + 1.2W

2.8 - 1.4 = 1.2W - 0.5W

1.4 = 0.7W

W = 1.4 / 0.7 = 2

The weight will be equal in two weeks.

Puppy = 2.8 + 0.5W = 2.8 + ( 0.5 x 1 ) = 3.3

Kitten = 1.4 + 1.2W = 1.4 + ( 1.2 x 1) = 1.8

Hence, the weight of the kitten will be less than the weight of the puppy till 2 weeks.

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Answer:

65.28%

Step-by-step explanation:

The computation of the probability is shown below:

Given that

P(2,3, OR 4)

based on the above information

= 5C_2(0.4)^2 × (0.6)^3 + 5C_3(0.4)^3 × (0.6)^3 + 5C_4(0.4)^4 × (0.6)^1

= .3465 + .2304 + .0768

= .6528

= 65.28%

Answer:

Solution Below.

Step-by-step explanation:

This Questions tests on Simplifying Algebraic Expressions

Algebraic Expressions are expressions made up of both numbers and alphabets which are normally variables. Just like Numerical Expresions, Algebraic Expressions can be simplified by using order of operations as well.

Example: 4x + 7(x - 6) = 4x + 7x - 42 = 11x - 42

Using the above concept, we can simplify the given expression:

(Note that a and b are separate variables(

\( \frac{5}{3} ( \frac{4}{3}a + 9b + \frac{2}{3} a) \\ = \frac{5}{3} (2a + 9b) \\ = \frac{10}{3} a + \frac{45}{3} b \\ = 3 \frac{1}{3} a + 15b\)

Answer:

4.5

Step-by-step explanation:

60/20=3

3*1.5=4.5

Answer:

he can buy 4 sheets of paper to print 16 pages

he will have 0.10 cents left

Step-by-step explanation:

With each piece of paper, he can print 4 pages

He has a full dollar

1/0.25 = 4

he can print 4 pages because the last 10 cents will not be enough to print another page

4 * 4 = 16

He will not be able to print all the pages

Answer:

D

Step-by-step explanation:

The first number in each co-ordinate is the same so -1 plus 4 is 5 units

Answer:

5 units

Step-by-step explanation:

The x-coordinates of both coordinates are the same, so you only need to add the absolute values of -1 and 4, which is 5.

A student's probability of having a sister are 1/2 or 0.5 if they do not have a brother.

Using the above data table, we must determine the likelihood that a student without a brother also has a sister. Analysing the table now

has a sibling: 5

possesses no sisters: 2

has an 18-year-old brother

possesses no brothers: 4

We are looking for the likelihood that a student has a sister and neither a brother (as indicated by the statement "Does not have a brother"). In this instance, there are two children who do not have a brother but do have a sister, making that number the number of positive outcomes.

No matter whether a student has a sister or not, the total number of outcomes is equal to the number of students who do not have a brother. According to the table, there are 4 students without brothers.

As a result, the likelihood that a student who doesn't have a brother will have a sister can be determined as follows:

Probability is calculated as the ratio of the number of favourable outcomes to all possible outcomes.

Probability equals 2/4

Probability equals 0.5 or half.

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Answer:

length = 3√5

distance = √13

Step-by-step explanation:

length = √[(lenght(1,-2)to(4,-2))² + (length(4,-2)to(4,4))²]

length = √ 3²+6²

=√9+36

=√45=3√5

distance

d = √(x1-x2)²+(y1-y2)²

d= √(5-3)² + (-2-1)²

d=√2²+(-3)²

d=√4+9

d=√13

The critical point (x,0) is stable for x < 0 and unstable for x > 0.

Given system is

\(dx/dt =x(-x^2−y+4)\\=f(x,y)dy/dt\\ =y(y^2+8x-1)\\=g(x,y).\)

To find the location of all critical points we need to equate both the equations to zero and then solve them:

\(1) x(-x^2-y+4) = 0\\x(-x^2 -y + 4) = 0\)

At x=0, (-x^2-y+4) can be 0 so we get two critical points:

(0,0) and (0,4).

\(2) y(y^2+8x-1) = 0\)

For y = 0, x can be any number, so we get the critical point: (x,0).

We will consider the non-zero critical points and apply the Jacobian matrix to them to find the stability of these critical points.

(0,4): We have to find the eigenvalues of Jacobian matrix

Jacobian = [d/dx f(x,y)  d/dy f(x,y) ][d/dx g(x,y)  d/dy g(x,y) ]

So, Jacobian at (0,4) = [4   -1 ][0    31]

The eigenvalues are λ1 = 4 and λ2 = 31

which are both positive, therefore the critical point (0,4) is unstable.(0,0):

Jacobian at (0,0) = [0   -1 ][0    -1]

The eigenvalues are λ1 = 0 and λ2 = -1.

The critical point (0,0) is a saddle point.(x,0):

Jacobian at (x,0) = [8x  0 ][0   -1]

The eigenvalues are λ1 = 8x and λ2 = -1.

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Answer:

C

Step-by-step explanation:

the typical form of line equation is

y = ax + b

a = the slope of the line (expressed as y/x ratio telling us how many units y changes when x changes a certain number of units).

b = the intercept on the y-axis (when x = 0).

we know, a = -4

and we use the point (x = -2, y = 1) to get b

y = -4x + b

1 = -4×-2 + b = 8 + b

b = -7

=>

y = -4x - 7

only the points of option C are all fulfilling this equation.

e.g. x = 0, y = -7

-7 = -4×0 - 7 = -7, true, -7 = -7

and so on.

The volume of the given object which is rectangular prism is 60u³

The volume of object is given by the formula

Volume of rectangular prism = Length ×width ×height

Length is \(2\frac{1}{2}\) u

width is 2u

Height is 6u

Volume =  \(2\frac{1}{2}\) u×2u×6u

=5/2u×2u×6u

=60u³

Hence, the volume of the given object which is rectangular prism is 60u³

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The solution of the liner equation 6k + 10.5 = 3k + 12 is k = 1/2.

Here, 6k + 10.5 = 3k + 12

         6k - 3k = 12 - 10.5

         3k = 1.5

          k = 1.5/3

          k = 1/2

Thus, The solution of the liner equation 6k + 10.5 = 3k + 12 is k = 1/2.

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Answer:

less than

Step-by-step explanation:

pls mark brainliest

hope this helps

Answer:

The answer is A: 25 cm

Step-by-step explanation:

5+6+6+8=25

z does not necessarily lie between x and y on the number line.

In order to determine if z lies between x and y on the number line, we need to compare the distances between these points.

Statement 1: xyz < 0

This statement does not provide any direct information about the relative positions of x, y, and z on the number line. It only indicates that the product of x, y, and z is negative. However, this does not give us any information about the specific values or their positions on the number line.

Statement 2: xy < 0

This statement tells us that the product of x and y is negative. This means that x and y have opposite signs, indicating that they lie on opposite sides of zero on the number line. However, this statement still does not give us any information about the position of z relative to x and y.

Therefore, neither statement alone is sufficient to determine whether z lies between x and y on the number line.

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The distance from the sun to the other focus is 5.01 × 10⁹ m.

(a) The distance from the center of an ellipse to a focus is an where a is the semi major axis and e is the eccentricity. Thus, the separation of the foci ( in the case of Earth's orbit ) is;

2ae = 2(1.50 × 10¹¹)(0.0167) = 5.01 × 10⁹ m.

(b) To express this in terms of solar radii, we set up a ratio;

(5.01 × 10⁹)/(6.96 × 10⁸) = 7.2

Thus, we can conclude that the distance from the sun to the other focus is 5.01 × 10⁹ m.

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Complete question is;

The Sun's center is at one focus of Earth's orbit. How far from this focus is the other focus, (a) in meters and (b) in terms of the solar radius, 6.96 × 10⁸ m? The eccentricity is 0.0167, and the semimajor axis is 1.50 × 10¹¹ m.

The expanded form that can be used to factor the function is 12x² - 18x + 10x - 15.

option C,

To factor 12x² - 8x - 15 by grouping, we need to split the middle term -8x into two terms whose sum is -8x and whose product is -180 (the product of 12 and -15).

We can do this by splitting -8x into -18x and +10x:

12x² - 18x + 10x - 15

Now, we can group the first two terms together and the last two terms together, and factor out the greatest common factor from each group:

6x(2x - 3) + 5(2x - 3)

Notice that we have a common factor of (2x - 3) in both groups, so we can factor it out:

(2x - 3)(6x + 5)

Therefore, the factored form of 12x² - 8x - 15 by grouping is (2x - 3)(6x + 5).

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Answer:75.36 square meters

The area of the smaller garden can be calculated using the formula for the area of a circle:

A = πr^2

where r is the radius of the circle. Substituting r = 2 meters, we get:

A(smaller) = π(2)^2 = 4π

The area of the larger garden is 7 times greater than the area of the smaller garden. Therefore, the area of the larger garden can be found by multiplying the area of the smaller garden by 7:

A(larger) = 7A(smaller) = 7(4π) = 28π

To find how much greater the area of the larger garden is than the area of the smaller garden, we can subtract the area of the smaller garden from the area of the larger garden:

A(larger) - A(smaller) = 28π - 4π = 24π

So, the area of the larger garden is approximately 24π square meters greater than the area of the smaller garden.

To get a decimal approximation, we can use the value of π as 3.14:

A(larger) - A(smaller) ≈ 24(3.14) ≈ 75.36

Therefore, the area of the larger garden is approximately 75.36 square meters greater than the area of the smaller garden.

Answer: H=12 and B=8

Looking at the problem, you are given the area, a , and told the h is 4 meters longer than b; in other words, h=b+4.

Since a=1/2bh, you can replace a with 48. Also, since h is b+4, you can replace that as well. You'd end up with this equation:

48=1/2b(b+4)

1. Seeing that 48 is 1/2 of b, you know that you have twice the value of 48, or 96. So, you can put that 96=b(b+4).

2. Now, thinking through factors of 96-  1 x 96, 2 x 48, 3 x 32, 4 x 24, 6 x 16, or 8 x 12, the only pair in which h is b+4 is 12 x 8.

Hope this helps,

Lacia :))

Answer:

I think the ans is A. inverse.

Answer:

THe awnswer is B

Step-by-step explanation:

Answer: D. $14

Step-by-step explanation: I got this right on Edmentum

An expression which represents the volume of the composite figure is: D. one-half(2)(4.4)(5) + one-third (one-half)(2)(4.4)(3.9).

Mathematically, the volume of a triangular prism is calculated by using this formula:

Volume = base area × length of the prism.

In this scenario, the triangular prism would be cut into half while the triangular pyramid is divided by 3, and then cut into half.

Lastly, the equations derived would be added to get the volume of the composite figure as follows:

Volume = 1/2 × [(2)(4.4)(5)] + 1/3 × [(1/2) × (2)(4.4)(3.9)]

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Answer:

The above answer is correct! The right option is D. One-half(2)(4.4)(5) + One-third (One-half)(2)(4.4)(3.9)

Step-by-step explanation:

Hope this helps!

Answer:

(5,1)

If you use substitution it'll be very easy.

In this case substitute the second equation into the first so you get y+4+y=6. Then simplify and you'll get 2y=2. Then solve for y and you'll get 1. Now plug in the 1 for y into either of the equations. Let's plug it into the second equation. X=1+4. X=5.

Final answer is (5,1).

The solution to the system of equations is x = 5, y = 1

The given system of equations is:

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

x = y + 4......(2)

Substitute the equation x = y + 4 into the equation x + y = 6

y + 4 + y = 6

Collect like terms

y + y = 6 - 4

2y = 2

y = 2/2

y = 1

Substitute y = 1 into equation (2)

x = 1 + 4

x = 5

The solution to the system of equations is x = 5, y = 1

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Answer:70.888

Step-by-step explanation: