Okie I need help bad it’s #3 on my homework

Step-by-step explanation:

second colum third row ....

The correct option for the given sum is option B. The point (2,-9) paired with (2, 3), will make a side equal to this length.

Let the other point of the pentagon will be M(n, o).

The given point be A (a, b)

Also given one of the sides of a pentagon has length 12.

Now, we need to find the distance between the two points,

Distance between two points: |AM| = √\((a-n)^2+(b-o)^2\)

Now,

\(12 = \sqrt{(2-n)^2+(3-o)^2}\)

\((12)^2\) = \((2-n)^2+(3-o)^2\)

\((2-n)^2+(3-o)^2\) = 144 ----------------------------- eq (1)

Now, check every point for the values to match with equation (1)

Option A: \((2-14)^2+(3-15)^2\) = 288. So the option is false.

Option B:

\((2-2)^2+(3-(-9))^2\) =114

0+114 =114

Therefore option B is correct. The other point is (2,-9).

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Using the tangent ratio, the value of x in the right triangle shown is calculated to the nearest tenth as: 2.6  units.

The tangent ratio is part of the trigonometry ratios that is applied when solving a right triangle, and it is expressed as:

tan ∅ = length of the opposite side / length of the adjacent side.

We are given the following information from the image above:

Reference angle (∅) = 43 degrees

length of the opposite side = x

length of the adjacent side = 2.8

Plug in the values:

tan 43 = x/2.8

2.8 * tan 43 = x

x = 2.6 [to the nearest tenth]

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Answer:

2/5 or 0.4.

Step-by-step explanation:

6/15 = 2/5

1. selection of index number: during the construction of index number it is to be kept in mind that the selection of the index number should be correct accordingly.

2. selection of formula: while the construction of index numbers it is compulsory to select the correct formula for the given question.

3. selection of price: selection of prices should be done accordingly while constructing the index numbers.`

construction of index number is also available in two parts:

1. simple

2. weighted

1. simple: the simple method is classified into simple aggregative and simple relative.

2. weighted: the weighted method is classified into a weighted aggregative and weighted average.

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Answer:

452.16 inches²

Step-by-step explanation:

→ Write circle area formula

π × r²

→ Substitute in the numbers

3.14 × 12²

→ Simplify

452.16 inches²

The measure of unknown angle of triangle is 28.2°.

From the given triangle, we have sides 11 units, 12 units and 20 units.

The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them. The law of cosine states that: a² = b² + c² − 2bc·cosA.

Here, 11²=12²+20²-2×12×20·cosA

121=144+400-480·cosA

121=544-480·cosA

121-544=-480·cosA

-423=-480·cosA

cosA= 423/480

cosA= 0.88125

A=28.2°

Therefore, the measure of unknown angle of triangle is 28.2°.

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Answer:

A=706.5 ft^2

Step-by-step explanation:

Area of circle: π r^2

r=radius

In this case, r=15

So,

A=3.14(15^2)

A=3.14*225

A=706.5 ft^2

The practical domain of function f(x) has all positive integers and all whole numbers that are multiples of 4 that is option A or D is correct

The domain is "set of all possible inputs value for the function".

According to the question,

A package of buttery round crackers contains 4 sleeves of crackers each

package of crackers cost $2.49. A function f(x) written to represent the cost of purchasing x packages of crackers.

In order to find the practical domain for the function f(x) only if analysis the value of domain function 'x' must positive number so contain 'all positive integers' and since a package of buttery round crackers contains 4 sleeves then domain must contain 'all whole numbers that are multiples of 4'.

Hence, the practical domain of function f(x) has all positive integers and all whole numbers that are multiples of 4.

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The values of JL, EF and KM are -19units, 29 units and 22 units respectively.

13. From the diagram shown, we have;

JL = JK + KL

where;

JK = x + 2

KL = 4x - 16

JL = 6x - 13

Substitute the expressions

6x - 13 =  x + 2 + 4x - 16

collect like terms

x = -1

JL = 6x - 13 = 6(-1) - 13 = -6 -13 = -19 units

14.  EG = 2x + 13

EF = x + 14

FG = 14

2x + 13 = x + 14 + 14

collect like terms

x = 15

EF = 15 + 14 = 29 units

15. KL = 6

LM = 2x

KM = 3x - 2

3x - 2 = 6 + 2x

collect like terms

x = 8

KM = 3x - 2 = 22 units

Thus, the values of JL, EF and KM are -19units, 29 units and 22 units respectively.

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The velocity of the rock is the number of feet traveled per second

The velocity of the rock is a linear function of time

From the question, we understand that the velocity increases by 32 feet per second for each second

This means that we have the following rates:

Velocity = 0, 32, 64, 96, 128....

Notice that the difference between adjacent numbers is 32.

This means that the velocity changes at a constant rate or slope

Hence, the velocity of the rock is a linear function

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Answer:

the 13 and one-third cups of flour he has. If each loaf requires 3 and four-fifths cups of flour, how many loaves can Josh bake?

3 loaves of bread

4 loaves of bread

50 loaves of bread

51 loaves of bread

Step-by-step explanation:

Answer: 6 + 8

Step-by-step Explanation: When you're adding and subtracting positives and negatives and you see a minus a negative in a problem, you can change it to plus a positive.

So 6 - (-8) can be thought of as 6 + (+8).

Answer:6+8

Step-by-step explanation:

Answer:

The correct option is;

The amount of fertilizer applied to each plot of land

Step-by-step explanation:

The value which the family would like to predict = The amount of grain harvested per acre of land on their farm

The methodology to be used for the prediction = Linear regression equation

The general form of a linear regression equation is Y = a + b·X

Where;

X = The independent or explanatory variable

Y = The dependent variable

b = The gradient or slope which is the rate of change

a = The y-intercept, the initial value of the dependent variable at the start of observation when the explanatory variable is 0

Therefore, given that the family would like to predict the amount of grain produced per acre, we have;

The variable which is whose value depends on other variable is the variable to be predicted and it is the same as the dependent variable

Therefore, the dependent variable is to be predicted, which gives;

The amount of grain produced per acre which is the dependent variable is to be predicted

Hence, Y = The amount of grain produced per acre

The explanatory variable or the independent variable is the variable which determines the value and in which the dependent variable depends as such it can be used to explain the values of the amount of grain growing per acre, therefore, we have;

The explanatory variable can be the amount of fertilizer applied to each plot of land

Therefore;

X = The amount of fertilizer applied to each plot of land

Therefore, we have;

The amount of grain produced per acre = The initial growth of grain per acre + (Rate of change of grains produced per unit of fertilizer added) × (The amount of fertilizer applied to each plot of land).

The explanatory variable refers to the independent variable in an experiment which is used to tweak the value of the measured variable. An appropriate explanatory variable would be the amount of fertilizer applied to each plot of land

Therefore, the amount of fertilizer is a good factor to measure the yield or amount of grain harvested on each plot.

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9514 1404 393

Answer:

  (d)  (-1, -1)

Step-by-step explanation:

The solution is the coordinates of the point where the lines cross. That point is (-1, -1).

The solution is (x, y) = (-1, -1).

Answer:

(-1,-1)

Step-by-step explanation:

Because the lines both intercept at -1,-1

In the given illustration, angle 1 and angle 2 are corresponding angles.

Note that corresponding angles in parallel lines are congruent.

angle 1 measures (63 - x)

angle 2 measures (72 - 2x)

Since both angles are congruent with each other, equate the angles :

The measure of angle 1 will be :

The measure of angle 2 will be :

ANSWERS :

a. x = 9

b. angle 1 = 54 degrees

angle 2 = 54 degrees

Answer:

this is all correct btw love u baby

Step-by-step explanation:

               a                            b                              c            

<A          opposite            adjacent                     hypoth

<B          adjacent              opposite                    hypoth

Answer:

here

Step-by-step explanation:

C and D is the answer

Answer:

The area of the figure composed of a parallelogram, a square and a rectangle is 126 in².

Step-by-step explanation:

Hope I could help!

Answer:

20 (this is the lowest common denominator)

The sums of distinct, nonconsecutive Fibonacci numbers for each of the given natural numbers are 52 = 13 + 34, 143 = 89 + 34 + 13 + 8, 13 = 8 + 5, 88 = 55 + 34, 43 = 21 + 8 + 13 + 1, 90 = 55 + 34, 2000 = 1597 + 377 + 21 + 5, 609 = 377 + 233.

A) The Fibonacci sequence is a set of numbers that starts with a one or a zero, followed by a one, and proceeds based on the rule that each number (called a Fibonacci number) is equal to the sum of the preceding two numbers. The Fibonacci numbers are: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, and so on. To express 52, 143, 13 and 88 as a sum of distinct, nonconsecutive Fibonacci numbers, we can use the following calculations.

For 52, the sum is 13 + 34. 13 is the 8th Fibonacci number and 34 is the 9th Fibonacci number. By adding these two numbers, we get 52.

For 143, the sum is 89 + 34 + 13 + 8. 89 is the 11th Fibonacci number, 34 is the 9th Fibonacci number, 13 is the 8th Fibonacci number and 8 is the 7th Fibonacci number. By adding these four numbers, we get 143.

For 13, the sum is 8 + 5. 8 is the 7th Fibonacci number and 5 is the 6th Fibonacci number. By adding these two numbers, we get 13.

For 88, the sum is 55 + 34. 55 is the 10th Fibonacci number and 34 is the 9th Fibonacci number. By adding these two numbers, we get 88.

B) To express 43, 90, 2000, 609 as a sum of distinct, nonconsecutive Fibonacci numbers, we can use the following calculations.

For 43, the sum is 21 + 8 + 13 + 1. 21 is the 6th Fibonacci number, 8 is the 7th Fibonacci number, 13 is the 8th Fibonacci number and 1 is the 5th Fibonacci number. By adding these four numbers, we get 43.

For 90, the sum is 55 + 34. 55 is the 10th Fibonacci number and 34 is the 9th Fibonacci number. By adding these two numbers, we get 90.

For 2000, the sum is 1597 + 377 + 21 + 5. 1597 is the 16th Fibonacci number, 377 is the 14th Fibonacci number, 21 is the 6th Fibonacci number and 5 is the 6th Fibonacci number. By adding these four numbers, we get 2000.

For 609, the sum is 377 + 233. 377 is the 14th Fibonacci number and 233 is the 13th Fibonacci number. By adding these two numbers, we get 609.

The sums of distinct, nonconsecutive Fibonacci numbers for each of the given natural numbers are 52 = 13 + 34, 143 = 89 + 34 + 13 + 8, 13 = 8 + 5, 88 = 55 + 34, 43 = 21 + 8 + 13 + 1, 90 = 55 + 34, 2000 = 1597 + 377 + 21 + 5, 609 = 377 + 233.

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Answer:

1)The rocket hit the ground at     \(x = \frac{5}{4}\)

2)The maximum height of the rocket = 12.468 feet

Step-by-step explanation:

Step(i):-

Given equation  

                y = -2 x² + 5 x + 7 ...(i)

Differentiating equation (i) with respective to 'x' , we get

             \(\frac{dy}{dx} = -2( 2x) +5(1) = -4x +5\)

Equating zero

            \(\frac{dy}{dx} = 0\)

⇒      -4 x +5 =0

⇒      -4 x = -5

⇒          \(x = \frac{5}{4}\)

The rocket hit the ground at     \(x = \frac{5}{4}\)

Step(ii):-

    \(\frac{dy}{dx} = -4x +5\)  ...(ii)

Again differentiating equation (ii) with respective to 'x' , we get

 \(\frac{d^{2} y}{dx^{2} } = - 4(1) <0\)

The maximum height at x = \(\frac{-5}{4}\)

  y = -2 x² + 5 x + 7

 \(y = -2 (\frac{5}{4})^{2} + 5 (\frac{5}{4} ) + 7\)

\(y = \frac{-2(25)+ 25 (16)+7(64)}{64}\)

\(y = \frac{798}{64} = 12.468 feet\)

The maximum height of the rocket = 12.468 feet

Answer:

D. The graph crosses the y-axis at (0, 5), increasing from x = -10 to x = 2 and remaining constant from x = 2 to x = 10.

Step-by-step explanation:

For this case, the first thing you should observe is that you have a different function in two distinct intervals.

We have then:

For [-10, 2]:

The linear function has a positive slope, therefore it grows and cuts the y-axis at the point (0, 5)

For [2, 10]:

We have a constant function whose equation is:

y = 5

Hope i helped!

The set of ordered pairs above: is a function.

The mapping diagram above: is a function.

y = x²: is a function.

The table above: is not a function.

In Mathematics and Geometry, a function is a mathematical equation which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair.

Based on the set of ordered pairs, mapping diagram, and the equation above, we can reasonably infer and logically deduce that it represent a function because the input values (domain, x-value, or independent values) are uniquely mapped to the output values (range, y-value or dependent values).

In this context, we can reasonably infer and logically deduce that the table does not represent a function because the input value (-1) has more than output values (2 and 4 respectively).

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To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2.

The five regular polyhedra, also known as the Platonic solids, are the only convex polyhedra where all faces are congruent regular polygons, and the same number of polygons meet at each vertex.

The five regular polyhedra are:

1. Tetrahedron: It has four triangular faces, and three triangles meet at each vertex.

2. Cube: It has six square faces, and three squares meet at each vertex.

3. Octahedron: It has eight triangular faces, and four triangles meet at each vertex.

4. Dodecahedron: It has twelve pentagonal faces, and three pentagons meet at each vertex.

5. Icosahedron: It has twenty triangular faces, and five triangles meet at each vertex.

To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that:

"for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2".

For regular polyhedra, each face has the same number of sides (n) and each vertex is the meeting point of the same number of edges (k). Therefore, we can rewrite Euler's formula for regular polyhedra as:

V - E + F = 2  

=>  kV/2 - kE/2 + F = 2  

=>  k(V/2 - E/2) + F = 2

Since each face has n sides, the total number of edges can be calculated as E = (nF)/2, as each edge is shared by two faces. Substituting this into the equation:

k(V/2 - (nF)/2) + F = 2  

=>  (kV - knF + 2F)/2 = 2  

=>  kV - knF + 2F = 4

Now, we need to consider the conditions for a valid polyhedron:

1. The number of faces (F), edges (E), and vertices (V) must be positive integers.

2. The number of sides on each face (n) and the number of edges meeting at each vertex (k) must be positive integers.

Given these conditions, we can analyze the possibilities for different values of n and k. By exploring various combinations, it can be proven that the only valid solutions satisfying the conditions are:

(n, k) pairs:

(3, 3) - Tetrahedron

(4, 3) - Cube

(3, 4) - Octahedron

(5, 3) - Dodecahedron

(3, 5) - Icosahedron

Therefore, there exist only five regular polyhedra.

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Answer:

What's Yo Question What Chu Need Help With ?

Answer: 3 ≤ 47

Step-by-step explanation:

The inequality given is 3 ≤ 47.

To determine the solutions to this inequality, we need to find the values of x that satisfy the inequality.

Looking at the options provided:

x = 24: This is not a solution because 24 is less than 47.

x = 51: This is a solution because 51 is greater than or equal to 47.

x = 6: This is not a solution because 6 is less than 47.

x = 99: This is a solution because 99 is greater than or equal to 47.

Therefore, the solutions to the inequality 3 ≤ 47 are x = 51 and x = 99.

Answer:

150 banquets

Step-by-step explanation:

Answer:

\(let \: that \: number \: be \: m \\ 10 \times m = \frac{5}{6} + \frac{5}{6} \\ 10m = \frac{10}{6} \\ m = \frac{10}{60} \\ m = \frac{1}{6} \)