Its linear equation world problems please help asap also do them step by step i need the equation also

the three angles of a triangle are

(2x +5) ⃘

(2x +5) ⃘


,

(x −10) ⃘ and 65 ⃘

(x −10) ⃘ and 65 ⃘

calculate the size of each angle.




determine three consecutive odd numbers whose sum is 33.




determine three consecutive even numbers whose sum is 102.

x = 90 ( supplementary angle )

y = 180 - ( 90+ 26)

= 180 - 116

= 64

On solving the problem we got that, 17yds and 11yds are its length and width​

The circumference of an item is known as its perimeter. For instance, your home has a yard that is enclosed. The length of the fence is the perimeter. The length of your fence is 200 feet if the yard is 50 feet by 50 feet.

suppose  length =L

And width = W

As, length is 6 yd longer than its width,

so  L  =  6 + W

And we know that

formula for perimeter,

\(Perimeter = 2 X ( L + W )\)

Given,

perimeter is 56yds:    

56=  2(L + W)

Substituting:                          

=> 68  =  2(6 + W) + 2W

=> 12+ 2W + 2W = 56

=> 4W = 44

=> W  =  11 yds

=> L = 11+6 = 17 yds

To know more about perimeter visit:
https://brainly.com/question/6465134

#SPJ9

Answer:

1000=450 (1+ 0.06) y

                         4

Step-by-step explanation:

In the paranthesis where it says 0.06 and then 4 at the bottom its supposed to be a fraction btw

Okay, it seems like you want to analyze a sample of 16 babies based on their weight.

The information you provided states that the Center for Disease Control and Prevention reports that 25% of baby boys aged 6-8 months in the United States weigh more than 20 pounds.

However, you haven't mentioned the specific question or analysis you want to perform on the sample. Could you please clarify what you would like to know or do with the given information?

To know more about Prevention visit-

brainly.com/question/30892272

#SPJ11

The bottom triangle is a 30°-60°-90° triangle that has the special property that its hypotenuse is twice the length of the shortest leg, 20√3.

The upper triangle is a 45°-45°-90° triangle, in which the hypotenuse is longer than one of its legs by a factor of √2.

All this to say x = √2 × 20√3 = 20√6 (A).

Answer:

x=11(12y-15)

Step-by-step explanation:

4x(3y-2)=7x+11

12xy-8x=7x+11

12xy-8x-7x=11

12xy-15x=11

x(12y-15)=11

x(12y-15)/(12y-15)=11/(12y-15)

x=11/(12y-15)

Answer: \(x=\frac{11}{12y-15}\)

Step-by-step explanation:

To solve for x, we want to isolate the variable.

\(4x(3y-2)=7x+11\)      [distribute]

\(12xy-8x=7x+11\)       [subtract both sides by 7x]

\(12xy-8x-7x=11\)       [combine like terms]

\(12xy-15x=11\)             [factor out x]

\(x(12y-15)=11\)             [divide both sides by 12y-15]

\(x=\frac{11}{12y-15}\)

Now, we know that \(x=\frac{11}{12y-15}\).

The values of p1, p2, p3 that minimize Var(X) are p1 = 0, p2 = 1/3, and p3 = 2/3.

We can use the following formulas to find the variance of X:

Var(X) = E[X^2] - (E[X])^2

E[X] = p1 + 2p2 + 3p3

E[X^2] = p1 + 4p2 + 9p3

Substituting these expressions into the formula for the variance, we get:

Var(X) = p1 + 4p2 + 9p3 - (p1 + 2p2 + 3p3)^2

Simplifying this expression, we get:

Var(X) = -\((p1^2 + 2p2^2 + 3p3^2) + 2p1p2 + 6p1p3 + 4p2p3\)

To maximize Var(X), we want to maximize this expression subject to the constraint p1 + p2 + p3 = 1. We can use Lagrange multipliers to find the maximum. Let:

L(p1, p2, p3, λ) = -\((p1^2 + 2p2^2 + 3p3^2) + 2p1p2 + 6p1p3 + 4p2p3 + λ(1 - p1 - p2 - p3)\)

Taking partial derivatives and setting them equal to zero, we get:

-2p1 + 2p2 + 6p3 - λ = 0

4p1 - 4p2 + 4p3 - λ = 0

6p1 + 8p2 - 6p3 - λ = 0

p1 + p2 + p3 = 1

Solving these equations, we get:

p1 = 2/7, p2 = 3/7, p3 = 2/7, λ = 4/7

Therefore, the values of p1, p2, p3 that maximize Var(X) are p1 = 2/7, p2 = 3/7, and p3 = 2/7.

To minimize Var(X), we want to minimize the expression \(-(p1^2 + 2p2^2 + 3p3^2) + 2p1p2 + 6p1p3 + 4p2p3\) subject to the constraint p1 + p2 + p3 = 1. We can use the same Lagrange multiplier method to find the minimum. Taking partial derivatives and setting them equal to zero, we get:

-2p1 + 2p2 + 6p3 - λ = 0

4p1 - 4p2 + 4p3 - λ = 0

6p1 + 8p2 - 6p3 - λ = 0

p1 + p2 + p3 = 1

Solving these equations, we get:

p1 = 0, p2 = 1/3, p3 = 2/3, λ = 2/3

Therefore, the values of p1, p2, p3 that minimize Var(X) are p1 = 0, p2 = 1/3, and p3 = 2/3.

Learn more about expressions

https://brainly.com/question/14083225

#SPJ4

Work Shown:

y = 15.6 - 3.8x

y = 15.6 - 3.8*3

y = 4.2

9514 1404 393

Answer:

  $460

Step-by-step explanation:

If w is the number of weeks the car is rented, and m is the number of miles driven, the cost structure tells you the rental cost (c) is ...

  c = 180w +0.25m

For w=2 and m=400, this becomes ...

  c = 180·2 +0.25·400 = 360 +100 = 460

The cost of the 2-week rental will be $460.

__

The family size is irrelevant to the cost.

Answer:

You can't solve for f since f is eliminated from the equation.

Step-by-step explanation:

f = d + e + f

Subtract f from both sides.

0 = d + e

You can't solve for f since f is eliminated from the equation.

Answer:

center: (1,4)

radius=3

From the given graph we can see that the graphical representation of the function has an open dot on -1. Hence, the function has no solution for f(-1).

An open dot on a number line graph denotes that the given number cannot be a solution, whereas a solid dot on the graph suggests that the supplied number should be considered as a potential solution. For instance, if you graph x > 7, you would put an open dot there because that is not a correct response (7 is not greater than itself).

From the given graph we can see that the graphical representation of the function has an open dot on -1. Hence, the function has no solution for f(-1).

Learn more about graph here:

https://brainly.com/question/17267403

#SPJ1

The difference between the experimental Ka and the actual value of Ka could be due to several factors:

It is important to control these sources of error in order to obtain more accurate results. Further investigation and repeat experiments may be necessary to confirm the experimental Ka value and minimize the error.

Complete question:

The actual value of  Ka is  1.78∗10^−5. What could be some reasons for the error between our experimental Ka = 2.19*10^-5 and actual values? CH3COOH⇋H++CH3COO−  To start, we mix the following ingredients in a beaker: 20 ml of 0.02M Acetic Acid 20 ml of 0.02M Sodium Acetate Methyl Red Bromocresol Green The ph was 4.66

Read more about Acid-base Equilibrium:

https://brainly.com/question/8877236

#SPJ4

If Derick plans to buy 6 tacos, an option he should choose is General Admission.

Derick should choose VIP if he has a total of $55 and wants to eat as many tacos as he can.

Derick must buy 8.4 tacos for the General Admission and the VIP option to cost the same.

Derek must buy 8.4 tacos for each pricing to be the cheapest.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

Based on the information provided above, a linear equation that models General Admission is given by;

y = mx + b

y = 4x + 15

For VIP: y = 1.50x + 36

When x = 6 tacos, we have the following:

General Admission: y = 4x + 15

General Admission: y = 4(6) + 15 = $39.

VIP: y = 1.50x + 36

VIP: y = 1.50(6) + 36 = $45.

When y = $55, we have the following:

General Admission: y = 4x + 15

55 = 4x + 15

x = 40/4

x = 10 tacos.

VIP: y = 1.50x + 36

55 = 1.50x + 36

x = 19/1.50

x = 12.7 ≈ 13 tacos.

For the tacos to cost the same, we have:

4x + 15 = 1.50x + 36

4x - 1.50x = 36 - 15

x = 21/2.5

x = 8.4 tacos.

For each pricing to be the cheapest, we have:

4x + 15 = 1.50x + 36

4x - 1.50x = 36 - 15

x = 21/2.5

x = 8.4 tacos.

Read more on total cost and tacos here: https://brainly.com/question/31174366

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The length of the shortest side is 30 centimeters.

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles.

Let the angles of the triangle be A, B, and C with side lengths a, b, and c, respectively. We know that the sum of the angles of a triangle is 180 degrees. So, we can find the third angle by subtracting the sum of the given angles from 180:

C = 180 - (59 + 63) = 58 degrees

Now, we can use the Law of Cosines to find the length of the shortest side, a:

a² = b² + c² - 2bc cos(A)

We know that A is the angle opposite the side with length 28 cm, so A = 58 degrees. We also know that B is the angle opposite the unknown side, so B = 180 - (A + C) = 63 degrees.

Substituting the given values into the Law of Cosines, we get:

a² = b² + c² - 2bc cos(A)

a² = b² + 28² - 2b(28) cos(58)

a² = b² + 784 - 56b cos(58)

The sum of the angles of a triangle is 180 degrees to find B in terms of A:

B = 180 - (A + C) = 180 - (58 + 59) = 63 degrees

Substituting B = 63 degrees into the Law of Cosines, we get:

b² = a² + c² - 2ac cos(B)

b² = a² + 28² - 2a(28) cos(63)

b² = a² + 784 - 56a cos(63)

a² = b² + 784 - 56b cos(58)      ....(i)

b² = a² + 784 - 56a cos(63)      ....(ii)  

Subtracting the second equation from the first, we get:

a² - b² = -56b cos(58) + 56a cos(63)

Rearranging and factoring, we get:

(a + b)(a - b) = 56(cos(63)a - cos(58)b)

We can solve for a - b by dividing both sides by a + b:

a - b = 56(cos(63)a - cos(58)b) / (a + b)

Substituting a = 28 (the length of the longest side) and cos(63) and cos(58), we get:

a - b = 3.864

Now, we can use the fact that a + b + c = 180 to solve for b:

a + b + c = 180

28 + b + 59 + 63 = 180

b = 30

Therefore, the length of the shortest side is b = 30 centimeters.

Learn more about the triangles here:

brainly.com/question/17997149

#SPJ3

Answer: 3062 pounds

Step-by-step explanation: 10.5x7x10 is 735 and divided by 0.24 is 3062.2 pounds rounded to 3062

Answer:

H=12

Step-by-step explanation:

12-8=4

hope this helps!!

The answers to the questions involving trigonometry are: 90, BC/AB ÷ BC/AB = 1, g = 6.5, <I = 62 degrees, h= 13.8, 12.0, x = 6.8, x = 66.4, 160.6, The pole = 6.7

Trigonometric ratios are special measurements of a right triangle, defined as the ratios of the sides of a right-angled triangle.  There are three common trigonometric ratios: sine, cosine, and tangent

For page 3 question 3,

a) <A + <B = 90 since <C = right angle

b) SinA = BC/AB and CosB = BC/AB

The ratio of the two angles BC/AB ÷ BC/AB = 1

I notice that the ratio of sinA and cosB gives 1

b) The ratio of CosA and SinB will give

BC/AB ÷ BC/AB

= BC/AB * AB/BC = 1

For page 5 number 3

Tan28 = g/i

g/12.2 = tan28

cross multiplying to have

g = 12.2*tan28

g = 12.2 * 0.5317

g = 6.5

b) the angle I is given as 90-28 degrees

<I = 62 degrees

To find the side h we use the Pythagoras theorem

h² = (12.2)² + (6.5)²

h² = 148.84 +42.25

h²= 191.09

h=√191.09

h= 13.8

For page 6

1) Sin42 = x/18

x=18*sin42

x = 18*0.6691

x = 12.0

2) cos28 = 6/x

xcos28 = 6

x = 6/cos28

x [= 6/0.8829

x = 6.8

3)  Tan63 = x/34

x = 34*tan63

x= 34*1.9526

x = 66.4

4) Sin50 123/x

xsin50 = 123

x = 123/sin50

x = 123/0.7660

x =160.6

5)  Sin57 = P/8

Pole = 8sin57

the pole = 8*0.8387

The pole = 6.7

Learn more about trigonometrical ratios on https://brainly.com/question/23130410

#SPJ1

Answer:

h=81

Step-by-step explanation:

Dont know how to explain but this is the answer

If a sample includes three individuals with scores of 4, 6, and 8, the estimated population variance is (4 + 0 + 4) / 2 - 4. So, correct option is 4.

The estimated population variance formula is the sum of squared deviations from the mean divided by the degrees of freedom. In this case, the degrees of freedom would be n-1, where n is the sample size.

Using the given sample of 4, 6, and 8, we can calculate the sample mean as (4+6+8)/3 = 6.

Then, we calculate the deviations from the mean for each score:

4 - 6 = -2

6 - 6 = 0

8 - 6 = 2

We square each deviation to get 4, 0, and 4. Then, we sum the squared deviations: 4 + 0 + 4 = 8.

Since there are three scores in the sample, the degrees of freedom is 3 - 1 = 2.

Finally, we divide the sum of squared deviations by the degrees of freedom to get the estimated population variance: 8/2 = 4.

Therefore, option 4) (4 + 0 + 4) / 2 = 4 is the correct answer.

To learn more about sample click on,

https://brainly.com/question/28920592

#SPJ4

Part a:  What quantity order size would minimize the total annual inventory cost? Total Annual Inventory Cost = Annual Ordering Cost + Annual Carrying Cost At minimum Total Annual Inventory Cost, the formula for the Economic Order Quantity (EOQ) is used. EOQ formula is given below: EOQ = sqrt((2DS)/H)Where, D = Annual DemandS = Ordering cost

The company should place an order for 168 boxes at a time in order to minimize the total annual inventory cost.Part b: Determine the minimum total annual inventory cost.Using the EOQ, the company can calculate the minimum total annual inventory cost. The Total Annual Inventory Cost formula is:Total Annual Inventory Cost = Annual Ordering Cost + Annual Carrying CostAnnual Ordering Cost = (D/EOQ) × S = (16,800/168) × $60 = $6,000Annual Carrying Cost = (EOQ/2) × H = (168/2) × $30 = $2,520Total Annual Inventory Cost = $6,000 + $2,520 = $8,520Therefore, the minimum Total Annual Inventory Cost would be $8,520.Part c: Would you recommend the manager to use your quantity from part (a) rather than 300 boxes? Justify your answer (by determining the total annual inventory cost for 300 boxes)

To know more about Inventory visit:

https://brainly.com/question/31146932

#SPJ11

Answer:

Step-by-step explanation:

The measure of angle R, found through the angle sum property of a triangle and corresponding angles in ΔKIX and ΔREM is m∠R = 61°

Corresponding angles are angles in two congruent or similar triangles, located between a pair of segments in one triangle that are congruent to a pair of segment in the other triangle

The details of the question are;

The transformation that maps triangle ΔKIX unto triangle ΔREM is a rotation.

Please see attached the example drawing of ΔKIX and ΔREM created with MS Excel.

A rotation transformation is a rigid transformation, therefore, the side lengths and shape of triangle ΔKIX is preserved in the image of the triangle, ΔREM

The measure of angle ∠X in triangle ΔKIX is ∠X = 117°

The measure of angle ∠I in ΔKIX is ∠I = 2°

∠K + ∠I + ∠X = 180° (angle sum property  of a triangle)

The measure of angle ∠K = 180° - (∠X + ∠I)

Therefore;

m∠K = 180° - (117° + 2°) = 61°

m∠K = 61°

Based on the naming of the triangles ΔKIX and ΔREM, we have;

∠K corresponds to ∠R, ∠I corresponds to ∠E, and ∠X corresponds to angle ∠R, therefore;

∠K ≅ ∠R, ∠I ≅ ∠E, ∠X ≅ ∠R, which by the definition of congruency indicates;

∠K = ∠R, ∠I = ∠E, ∠X = ∠R

m∠R = m∠K = 61°

m∠R = 61°

Learn more about the angle sum property of a triangle here:

https://brainly.com/question/27437134

#SPJ1

Answer:

No

Step-by-step explanation: