i tried the cosine rule and the sine rule but i dont get why the answer is wrong.

The length of line segment LB is equal by definition of bisector to 6 feet.

In this question we find a geometric system with two right triangles generated by bisector AL, that is, a side that divides line segment CL into two segments of equal length. Then, the length of line segment LB is equal to:

CL = LB

Where CL and LB are measured in feet.

If we know that CL = 6 ft, then the length of line segment LB is 6 feet.

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Answer:

Below

Step-by-step explanation:

e^(-kt) = 1/2     when t = 11.43

so  k = .060642797

e^ (- .060642797 * 1) = .9411  <====   is left after one year

             which means the decay in one year is

                  1 - .9411 = .05884 = 5.88% per year

We know that Julian has $8.75 using mathematical operations.

A mathematical "operation" is the process of calculating a value utilizing operands and a math operator.

The supplied operands or integers must adhere to a set of predefined rules that are connected to the symbol of the math operator.

The five basic operations in mathematics are addition, subtraction, multiplication, division, and modular forms.

So, we know that:

Juan has $3.50.

Julian has 2½ times Juan.

So, the money Julian has is:

First, calculate 2½:

2½

4+1/2

5/2

2.5 times

The money Julian has is:

3.50 * 2.5

$8.75

Therefore, we know that Julian has $8.75 using mathematical operations.

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The coordinates of P and Q are

PQ have equal slope with BC so they are parallel

The coordinates of P and Q is found using the midpoint formula

The formula is of the form

X= (x₂ + x₁)/2

Y = (y₂ + y₁)/2

solving for P (X, Y) Using points A(2, -1), B(-3, 4)

(X, Y) = ((2 + -3)/2, (-1 + 4)/2)

= (-1/2, 3/2)

solving for Q (X, Y) points A(2, -1), C(-5,-7)

(X, Y) = ((2 + -5)/2, (-1 + -7)/2)

= (-3/2, -4)

Parallel lines have equal slopes

Using BC = (4 - -7) / (-3 - -5) = 11/2

Using PQ = (-4 - 3/2) / (-3/2 - -1/2) = (-11/2) / (-1) = 11/2

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The formula is Y=kx.

the financial gain experienced when the income from a commercial activity is greater than the costs, taxes, and other costs associated with maintaining the activity in question.

When laying sod, the equation to determine sakeem's profit is Y= KX, where y represents profit, x is the number of square feet of sod, and k is a constant.

His supplier bills him $0.43 per square foot for sod when he builds a lawn.

For laying the sod, Sakeem's costs his clients $2.00 per square foot.

The amount of sod used to create a lawn directly affects how much money Sakeem's makes.

The profit will then be

Earnings = 2 - 0.43 ,Earnings = $1.57 per square foot

The formula is Y=KX.

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Perpendicular lines have slopes that are opposite signs and reciprocals.

Since the line y = -1/4x + 10 has a slope of -1/4, the slope of the perpendicular line will be + 4/1 or 4.  So any line with a slope of 4 will be perpendicular to  y = -1/4x + 10.

This means A and D will be your answers.

The population after 5 years if the starting population is 3000 is 75,000.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The population after 5 years.

= n x 25

Where n is the starting population in thousands.

The expression can be considered as.

= nx²

Where x is the number of years.

Now,

n = 3000

The population after 5 years.

= 3000 x 25

= 75,000

Thus,

The population is 75,000.

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If according to the American Veterinary Medicine Association, 72% of households in Wyoming owned a pet in 2018. There were 278,595 households in Wyoming in 2018. The number of those households that owned a pet is:  200,588.

We would be making use of the given data to find the number of household that owned a pet.

Using this formula

Number of household with pet = Percentage of household × Number of household

Let plug in the formula

Number of household with pet = 72% × 278,595

Number of household with pet = 200,588 household

Therefore the Number of household with pet  is 200,588.

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Answer:

I use desmos!

Step-by-step explanation:

Answer:

do you need help with anything if not hello

Step-by-step explanation:

The triangle's conclusion is that the two triangles are equal because they are congruent.

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The probability that in tonight's game he misses for the first time on his 6th attempt = 0.2244

What is Probability?

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

The Probability that the basketball player made a foul shot = 0.66 or 60%

Then the probability of good shot is = 1-0.66

= 0.34

probability that in tonight's game he misses for the first time on his 6th attempt = (1-p) 5(p)

= ( 1- 0.34)⁵ (0.34)

= 0.2244

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a) The Volume of space that is not occupied is; 13.80 in³

b) The length, are and volume have distinct final units.

c) The Volume of the composite shape is the sum of the Volume of Cone, Volume of Cylinder and  Volume of Hemisphere

a) Tennis ball is usually considered to be a sphere. The formula for volume of sphere is;

V = ⁴/₃πr³

where r is radius.

Since diameter = 2.6 inches, then radius; r = 2.6/2 = 1.3 inches

Thus;

Volume of each tennis ball;

V = ⁴/₃π(1.3)³

For the three tennis balls;

V₃ = 3(⁴/₃π(1.3)³)

V₃ = 8.788π

Volume of the cylindrical container = πr²h

h is height = 3(2.6) = 7.8 inches

V_cyl = π(1.3² * 7.8)

V_cyl = 13.182π

Volume of space not occupied = 13.182π - 8.788π

Volume of space not occupied = 13.80 in³

b) For length, the unit will be singular

For Area, the unit will be squared

For Volume, the unit will be cubed

c) There are three objects that make up the composite object namely; Cone, Cylinder, hemisphere. Thus;

Volume of composite shape = Volume of Cone + Volume of Cylinder + Volume of Hemisphere

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The required proof is completed by proving that triangle FCA and triangle DBE are congruent hence sides FA ≅ ED

Triangles are said to be congruent when the sides and angles equal in accordance to to the triangle congruency rules

Some of the rules include

In the problem, since FG can safely be extended to FC also EG to EB so that

FC ≅ EB this is one side of the triangle

Similarly, AB can be extended to AC and DC to DB such that

AC ≅ DB another side of the triangle

Given that < C ≅ < B the required sides for congruency by the SAS rule is completed and thus FA = ED

The SAS rule have it that when two sides and the included angle of angle of a triangle is equal to that of another triangle then all the sides and the angels are equal therefore they are congruent triangles

since ΔFCA ≅ ΔEBD the corresponding sides are equal to each other

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The width of area model is 2x units

Area is the entire amount of space occupied by the shape of an object or a flat (2-D) surface.

According to the given information :

The given expression is [tex]6x^{2}+106x[/tex]

We need to find the width of area model , so The above expression represents the area of rectangle A

By making the factors of the above expression

A = [tex]6x^{2}+106x[/tex]

  = [tex]2x( 3x + 53 )[/tex]

Area of rectangle is defined as

A = l × b

where l is length and b is width

In the above expression

b = 2x

l = 3x + 53

So , The width of area model is 2x units

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Answer:

9 - 24x

Step-by-step explanation:

When using the distributive property, the number outside the parentheses (12) is "distributed" to each of the values inside the parentheses. In other words, 12 will be multiplied by 3/4 and 2x:

12(3/4 - 2x)

12(3/4) - 12(2x) <----- so now we successfully got rid of the parenthesis. Next, simplify

12(3/4) = 9

12(2x) = 24x

9 - 24x <----this is the final answer since it can't be simplified further

Answer:

-1

Step-by-step explanation:

This line is already in slope, intercept form of   y = mx + b   <===='b' is the y-axis intercept   =  -1

A two-column method be that can used to prove that segment QR is parallel to segment PS is presented as follows;

Statement                      [tex]{}[/tex]                 Reasons

1. [tex]\overline{QP}[/tex] ≅ [tex]\overline{RS}[/tex]                                     1. Given

2. [tex]\overline{QP}[/tex] ║ [tex]\overline{RS}[/tex]   [tex]{}[/tex]                                 2. Given

3. ∠PRQ ≅ ∠RPS [tex]{}[/tex]                          3. Alt. int. angles theorem

∠QPR ≅ ∠PRS    [tex]{}[/tex]                      

4. ∠PRQ = ∠RPS        [tex]{}[/tex]                    4. Definition of congruency

∠QPR = ∠PRS

5. ∠QRS = ∠PRQ + ∠PRS [tex]{}[/tex]            5. Angle addition postulate

∠QPS = ∠QPR + ∠RPS

6. ∠PRQ + ∠PRS = ∠QPR + ∠RPS [tex]{}[/tex] 6. Substitution property

7. ∠QRP = ∠QPS   [tex]{}[/tex]                          7. Transitive property

8. [tex]\overline{PR}[/tex] ≅ [tex]\overline{PR}[/tex]             [tex]{}[/tex]  [tex]{}[/tex]                    8. Reflexive property

9. ΔQRP ≅ ΔSPR  [tex]{}[/tex]                        9. ASA congruency rule

10. ∠PQR ≅ ∠PSR  [tex]{}[/tex]                       10. CPCTC

11. ∠PQR = ∠PSR [tex]{}[/tex]                          11. Definition of congruency

12. QRSP is a parallelogram [tex]{}[/tex]       12. Parallelogram opp. int. ∠s theorem

13. [tex]\overline{QR}[/tex] ║ [tex]\overline{PS}[/tex]              [tex]{}[/tex]                   13. Properties of a parallelogram

A parallelogram is a quadrilateral that has opposite parallel sides.

The details of the reasons used to prove that the segment [tex]\overline{QR}[/tex] is parallel to segment [tex]\overline{PS}[/tex] are as follows;

Alt. int. angles theorem

The alternate interior angles theorem states that the alternate interior angles formed between two parallel lines and their common transversal are congruent

Definition of congruency

Two geometric figures are congruent if they have the same measurements.

Angle addition postulate

The angle addition postulate states that the measure of an angle ∠A, which is formed by two adjacent angles ∠B and ∠C, is the same as the sum of the measures of the two angles, ∠A = ∠B + ∠C

Substitution property

The substitution property of equality states that if a variable, a = another variable, b, a = b, then b can be plugged into expressions and equations to substitute for a and the values of the expressions and sides of equations remain the same.

Transitive property

The transitive property of equality states that if a = b, and b = c, then a = c

Reflexive property

The reflexive property of congruency states that a geometric figure is congruent to its self

ASA congruency rule

The Angle-Side-Angle congruency rule states that if two angles and the included side of one triangle are congruent to the two angles and included side of another triangle, then the two triangles are congruent.

CPCTC

CPCTC is an acronym for Corresponding Parts of Congruent Triangles are Congruent

Parallelogram opp. int. ∠s theorem

The parallelogram opposite interior angles theorem states that the opposite interior angles of a parallelogram are congruent.

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Answer:

2

Step-by-step explanation:

How many 1/4 cups fit in a 1/2 cup?

This is a division problem.

We need to divide 1/2 by 1/4.

1/2 ÷ 1/4 =

= 1/2 × 4/1

= 4/2

= 2

Answer: 2

Answer: Sale price: $254.15 , Discount: $44.85

Step-by-step explanation:

15% off indicates that the stereo will now cost 85% of what it did originally:

$299(100% – 15%) = $299(85%)

Decimalizing the percentage results in = $299(0.85) = $254.15

Discount= $299 - $254.15 = 44.85

The volume of the liquid in the conical flask is 980 π cm³

What is a Cone?

A cone is a three-dimensional shape in geometry that narrows smoothly from a flat base (usually circular base) to a point(which forms an axis to the centre of base) called the apex or vertex.

The volume of a cone is given by the equation

Volume of Cone = ( 1/3 ) πr²h

where r is the radius of the cone

h is the height of the cone

Given data ,

Let the two cones be A and B

Now , the smaller cone be A

The larger cone be B

The radius of the smaller cone is r = 8 cm

The height of the smaller cone is h = 20 cm

Now , the volume of the smaller cone V = ( 1/3 ) πr²h

Substituting the values in the equation , we get

Volume of cone A = ( 1/3 ) πr²h

Volume of cone A = ( 1/3 ) π x 8 x 8 x 20

Volume of cone A = 426.67 π cm³

Now ,

The larger flask is filled with height H = 20 cm

The radius of the larger cone is R = 14 cm

The height of the larger cone is H = 15 cm

Now , the volume of the smaller cone V = ( 1/3 ) πR²H

Substituting the values in the equation , we get

Volume of cone B = ( 1/3 ) πR²H

Volume of cone B = ( 1/3 ) π x 14 x 14 x 15

Volume of cone B = 980 π cm³

Therefore , the volume of the larger cone B is 980 π cm³

Hence , The volume of the liquid in the conical flask is 980 π cm³

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Answer:

66mph i belive

Step-by-step explanation:

The Range of the length of a rectangle having fixed width and area increasing linearly is  = {y ∈ R : c ≠ 0 or y ≠ 0}, and Domain = All real numbers,

An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel, opposite sides. Since a rectangle is a two-dimensional form, it has two dimensions: length and width. The rectangle's longer side is its length, while its shorter side is its breadth.

Given:

The width of the rectangle is fixed, and the length is changing.

The line is formed when connected through the graph.

The area of the rectangle = [tex]length\times width[/tex]

So when the width is fixed, the area would increase linearly and directly proportional to length.

Calculate the range of function y = cx,

y = area as shown in the graph, x is the length, and width is constant c.

Range = {y ∈ R : c ≠ 0 or y ≠ 0}

Calculate the domain,

It can be any real number, as the area can't be negative.

Domain = All real numbers.

Therefore, Range = {y ∈ R : c ≠ 0 or y ≠ 0}, and Domain = All real numbers.

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Answer: 0.4

Step-by-step explanation:

The question is asking for the probability to own a dog.

40% own a dog.

If you add all of the percentages you get 100%

40/100

=0.4

The probability is 0.4 times to randomly select a resident that only owns a dog.

Answer: (6,-6),(0,1) plot these 2 points

Step-by-step explanation:

The required circumference of the pool is given as 95.1 feet.

Perimeter is the measure of the figure on its circumference. where the circumference of the circle is given as 2πr.

Here,
The Linton family has a swimming pool as of the circular profile.
The radius of the circular swimming pool is 15 feet
π = 3.17

Now,
Circumference of the swimming pool is given as,
= 2πr

Substitute the value in the above formula,
Circumference of the swimming pool = 2 × 3.17 × 15
                                                         = 95.1 feet.

Thus, the circumference is 95.1 feet.

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Answer:

A = 12cm^2 B = 18cm^2 C = 54cm^2

Step-by-step explanation:

area = side 1 x side 2

Answer: y=7x-23

Step-by-step explanation:

y-y1=m(x-x1)

Plug them in:

-2-12=m(-2-5)

-14=m(-7)

m=7

y=7x+b

Plug in a coordinate:

12=7(5)+b

12=35+b

-23=b

y=7x-23

The quotient of the given division is (x + 9).

What is synthetic division?

Synthetic division is a technique for performing manual Euclidean division of polynomials in algebra that requires less writing and calculation than long division. Although it is typically taught for division by monic linear polynomials, the technique can be applied to division by any polynomial.

Given:  x^2 - 81 / (x - 9)

We have to find the quotient for the given division.

We can find the quotient using synthetic division.

                       x + 9

                 [tex]\sqrt[x-9]{x^2-81}[/tex]

                 -    x^2 - 9x

              _______________

                            9x - 81

                       -    9x - 81

                 _____________

                                    0

Hence, the quotient of the given division is (x + 9).

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Step-by-step explanation:

as you wrote correctly, proportional relationships are in the form

y = mx

that means the line has to go through the origin (0, 0). otherwise it is in the form

y = mx + b

which is still linear but not proportional.

1a.

the rate of change is between 2 points A and B

(Yb - Ya)/(b - a)

in our case e.g. (4, 5.52) and (8, 11.04)

(11.04 - 5.52)/(8 - 4) = 5.52 / 4 = 1.38

when we use other points we get the same result. we see e.g. that when we double x (pounds), then also y (cost) is doubled.

the rate of change is 1.38.

this is also called the slope of the line.

b.

as mentioned in a., when we multiply x by a factor, then y is multiplied by the same factor. it also means that the function contains (0, 0) : for 0 pounds we pay $0.

c.

y = 1.38x

2a.

the slope is (as it is the same as the rate of change) the ratio of (y coordinate change / x coordinate change) when going from one point on the line to another.

we try to find points with integer coordinates to do that.

I see e.g. (3, 4) and (6, 8).

x changes by +3 (from 3 to 6).

y changes by +4 (from 4 to 8).

so, the slope is +4/+3 = 4/3.

b.

the simplest indicator is that the line goes through the origin (0, 0), which it does.

c.

y = (4/3)x