Use the information to diswer
The area of the triangle shown is 40.0 cm2.
?
12.5 cm

What is the height of the triangle?
A. 3.20 cm
OB. 6.40 cm
OC. 13.8 cm
OD. 27.5 cm

range(2,11,2) because range is a tool for defining a range between two numbers and adding a step value.

Range is the difference between the highest and lowest values ​​in a range of numbers. To calculate the range, subtract the smallest number from the largest number in the set.

The number in a list or set between the lowest and maximum is referred to as a range. Line up all the numbers before locating the region. After that, take away (get rid of) the lowest number from the greatest number. The solution provides the list's range.

range(2,11,2) because range is used to create a range between number and add step value

To know more about range visit:

https://brainly.com/question/12789483

#SPJ1

The correct standard form for the given LP model is option C: Max(Z) = 3x1 + 2x2, subject to the constraints 11x1 + 3x2 - 5 <= 33, 8x1 + 5x2 + 5 >= 40, and 7x1 + 10x2 + 5 >= 70, with x1, x2 >= 0. This option aligns with the original objective function and constraints of the LP model.

To convert the LP model into standard form, we need to rewrite the constraints with the variables on the left-hand side and constants on the right-hand side, with inequality signs (<= or >=) consistent throughout. Additionally, we introduce slack or surplus variables to transform any non-standard constraints.

In option C, the constraints are correctly transformed as 11x1 + 3x2 - 5 = 33, 8x1 + 5x2 + 5 >= 40, and 7x1 + 10x2 + 5 >= 70. These constraints are consistent with the original model. The objective function remains the same, Max(Z) = 3x1 + 2x2.

Option A has incorrect signs in the transformed constraints, and option B introduces surplus variables (+5) instead of slack variables (-5), resulting in an incorrect standard form. Option D includes a non-standard term with a dollar sign, which is inconsistent with linear programming conventions.

Therefore, option C is the correct standard form, adhering to the original LP model's objective function and constraints.

Learn more about LP model here : brainly.com/question/33051152

#SPJ11

Answer:

We may log in directly in our scientific calculator the given value ln 7 and get an answer of 1.9459. On the other hand, we can rewrite the expression as,

                            log to the base e or 7 = x

which can be written as,

                              e^x = 7

The value of x from this is still equal to 1.9459.

Step-by-step explanation:

Answer:

A) similar; SSS similarity

Step-by-step explanation:

You have to find the proportion by dividing each side to the according side

35/14 = 2.5  -  S/D

20/8 = 2.5  -  R/E

30/12 = 2.5  - Q/F

Answer:

A B AND C

Step-by-step explanation:

The answers are

Answer:

10%

Step-by-step explanation:

250/25 is 10%

Answer:

10%

Step-by-step explanation:

hope this helps. . . <3

good luck!      UwU

Answer:

(-5, -1)

Step-by-step explanation:

When two lines intersect, their x and y values are equal. So,

x = 3y - 2 must equal -7 - 2y = x

x = 3y - 2 = -7 - 2y = x

Let's look at the two middle equations and solve for y.

3y - 2 = -7 - 2y

Add 2y to both sides

5y - 2 = -7

Add 2 to both sides.

5y = -5

y = -1

Now, let's find x. You can use either equation for this step.

When y = -1, then 3y - 2 =

(3)(-1) - 2 = -3 - 2 = -5

So, x = -5, and y = -1

Thus, the answer is (-5, -1)

I hope this helps! Feel free to ask any questions!

The measurement that is closest to the value of x, in centimeters, is given as follows:

14.3.

In this problem, we have a right triangle, in which the legs, which are the sides between the angle of 90º, are of 11.9 cm and 7.9 cm.

Then the hypotenuse x, which is the segment connecting both legs, is obtained using the Pythagorean Theorem.

The Pythagorean Theorem states that the measure of the hypotenuse squared is equals to the sum of the squares of the measures of each side.

Then the length of x is calculated as follows:

x² = 11.9² + 7.9²

x = square root of (11.9² + 7.9²)

x = 14.28.

Closest to 14.3, rounding to the nearest tenth, meaning that the third option is correct.  

We suppose that 11.9 cm and 7.9 cm are the measures of the legs.

More can be learned about the Pythagorean Theorem at https://brainly.com/question/28853425

#SPJ1

a) Using the logistic equation, dP/dt = kP(1 - P/K), we substitute P = 3P₀ and t = 1, resulting in 3kP₀(3500 - 3P₀) = 3P₀. Simplifying, we find k = 1 / (3500 - 3P₀), which gives us the constant k.

(b) We aim to determine how long it will take for the population to increase to 1750, which is half of the carrying capacity (K = 3500). Denoting the time taken as T, we solve for T when P(T) = 1750.

Using numerical  styles like Euler's  system or employing computer programs, we can  compare  the value of T that satisfies the equation. The process involves  opting  an  original time( t ₀) and population size( P ₀),  also iteratively calculating the population at each time step until P( T) is close to 1750.  

k = 1 / (3500 - 3P₀)

3kP₀(3500 - 3P₀) = 3P₀

3kP₀(3500 - 3P₀) = dP/dt

k(3P₀)(1 - 3P₀/3500) = dP/dt

k(3P₀)(1 - 3P₀/3500) = dP/dt

dP/dt = kP(1 - P/K)

This numerical approach allows us to estimate the value of T,  furnishing an approximate answer for how long it'll take for the population to reach half of the carrying capacity.

Learn more about population numerical at

https://brainly.com/question/31656351

#SPJ4

If in ΔFGH, F = 600cm , m∠F = 32° and m∠G=12° , then the length of "h" is  786.5 cm  .

The ΔFGH, with F = 600cm, m∠F = 32°, and m∠G = 12°, we want to find the length of side h, to the nearest 10th of a centimeter.

We know that ,  the sum of the angles in a triangle is 180°, we can use the following equation to find the third angle:

m∠H = 180 - m∠F - m∠G = 180 - 32 - 12 = 136°

By Using the law of sines, we can find the length of side h:

⇒ h = [600 × Sin(136°)]/Sin(32°)   ;

⇒ h = 786.52551512..

⇒ h = 786.5 cm ;

Therefore , the length of side h is 786.5 cm   .

The given question is incomplete , the complete question is

In ΔFGH, F = 600cm , m∠F = 32° and m∠G=12° . Find the length of h, to the nearest 10th of a centimeter .

Learn more about Law Of Sines here

https://brainly.com/question/22469549

#SPJ4

Answer

-4

Step-by-step explanation:

Therefore, slope of the line that passes through points ( -10, -8 ) and ( -8, -16 ) is -4.

⇒x²+ 4² - x²+ 2x - 2x + 4 = 20

⇒ x² - x² + 2x - 2x + 4² + 4 = 20

⇒ 16 + 4 = 20

⇒ 20 = 20

RHS = LHS hence proved

Answered by Gauthmath must click thanks and mark brainliest

Answer:

x = 0

Step-by-step explanation:

(a + b)² = a² +2ab + b²

(a +b)(a -b)= a² - b²

(x + 4)² - (x + 2 )(x - 2) = 20

x² + 2*4 *x + 4² - [x² - 2²] = 20

x² + 8x + 16 - [x² - 4]  = 20

x² + 8x + 16 - x²  + 4   = 20                 {(-1) is distributed x² and (-4)²}

x² - x² + 8x + 16 + 4     = 20 {Combine like terms}

                      8x + 20   = 20

                           8x      = 20 - 20

                               8x   = 0

x = 0

Answer: 4

Step-by-step explanation:

The storekeeper will receive a commission of GH¢ 122.50 if he sells goods worth GH¢ 1225.00.

To calculate the commission that the storekeeper will receive, we need to multiply the value of the goods sold by the commission rate.

The commission rate is given as 10%, which can be expressed as 0.10 in decimal form.

Let's calculate the commission:

Commission = Value of goods sold * Commission rate

Commission = GH¢ 1225.00 * 0.10

Commission = GH¢ 122.50

Therefore, the storekeeper will receive a commission of GH¢ 122.50 if he sells goods worth GH¢ 1225.00.

The commission is calculated by taking 10% of the total value of goods sold. In this case, the storekeeper is entitled to a commission that amounts to 10% of the sales.

It's important to note that commission rates can vary depending on the agreement between the storekeeper and the employer. In this scenario, the given commission rate is fixed at 10%. If the commission rate were different, the calculation would be adjusted accordingly.

Commission is a form of incentive or compensation provided to the storekeeper based on the sales performance. It motivates the storekeeper to sell more and contributes to the overall profitability of the business. The specific commission structure and rates may vary across different industries and organizations.

In summary, the storekeeper will receive a commission of GH¢ 122.50 if he sells goods worth GH¢ 1225.00 at a commission rate of 10%.

for more such question on commission visit

https://brainly.com/question/24951536

#SPJ8

Answer:

W = 450 + 16.83V

Step-by-step explanation:

For 40 hours Carissa

earning = $450

earning for 1 hour of over time = $16.83

multiplying both side by V

earning for v hour of over time = $16.83*V = $16.83V

weekly wage(W) = earning for 40 hours + earning for V hour of over time

W = 450 + 16.83V

Thus equation will be as given below for weekly earning

Answer:

1000 kilometer

Step-by-step explanation:

divide 2000 in half and u get 1000

Answer:

It would be 1,000km

Step-by-step explanation:

You just have to divide the 2,000 by 2

Answer:

7 - 2n

Step-by-step explanation:

"the product of 2 and a number": 2n

"the difference of 7 and the product of 2 and a number": 7 - 2n

Answer:

7 - (2+3) = 2

Step-by-step explanation:

please correct me if this is wrong.

The minimum value of the quadratic function is the lowest point of the function. The quadratic function y = x² - 2x - 8 has a minimum value at (1,-9).

The vertex of a quadratic function is the turning point of the graph of the function.

The vertex can be classified as a minimum value or as a maximum value, as follows:

Hence the quadratic function y = x² - 2x - 8 has a minimum value at (1,-9).

More can be learned about quadratic functions at https://brainly.com/question/1214333

#SPJ1

Answer:

eli= £180, freda = £260, geoff = £360

Step-by-step explanation:

eli : freda : geoff

9   :    13    :  18

9 + 13 + 18 = 40 parts

800 / 40 = 20

therefore 1 part = £20

20 x 9 = £180

20 x 13 = £260

20 x 18 = £360

Answers:

===========================================================

Explanation:

Let x be some positive real number.

Since each person gets a share of the money based on their ages, we can say that

The ratio 9x:13x:18x reduces to 9:13:18 when dividing everything by x.

Add up their shares, set the sum equal to 800 pounds, and solve for x.

9x+13x+18x = 800

40x = 800

x = 800/40

x = 20

We can then use this to find each person's share

As a check: 180+260+360 = 800 which confirms we have the correct split among the three people.

Notice how the ratio 180:260:360 fully reduces to 9:13:18 when you divide each part by the GCF 20.

There are several methods to prove that two triangles are similar, including the AA, SAS, and SSS similarity theorems.

Similar triangles proofs. To do that, let's consider the key terms and concepts involved in similar triangles:
1. Similar Triangles: Two triangles are similar if their corresponding angles are congruent, and their corresponding sides are proportional.
2. Angle-Angle (AA) Similarity: If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
3. Side-Angle-Side (SAS) Similarity: If two sides of one triangle are proportional to two sides of another triangle, and the included angles are congruent, then the triangles are similar.
4. Side-Side-Side (SSS) Similarity: If all three sides of one triangle are proportional to the corresponding sides of another triangle, then the triangles are similar.
Now, let's go through a step-by-step example of a similar triangles proof:
Given: ΔABC is similar to ΔDEF, with ∠A congruent to ∠D and ∠B congruent to ∠E.
Prove: AB/DE = BC/EF = AC/DF
Solution:
Step 1: Identify the given information.
We know that ΔABC is similar to ΔDEF, and ∠A ≅ ∠D, ∠B ≅ ∠E.
Step 2: Use the Angle-Angle (AA) Similarity Postulate.
Since two corresponding angles are congruent, we can conclude that the triangles are similar by the AA Similarity Postulate.
Step 3: Determine the proportionality of corresponding sides.
Since the triangles are similar, their corresponding sides are proportional. Therefore, we can write the proportions as:
AB/DE = BC/EF = AC/DF
By following these steps and using the key terms, we have proven that the given triangles are similar and their corresponding sides are proportional.

1. ΔDFE≈ ΔGFH :- As the  corresponding sides are  proportional and  two corresponding angles are congruent, hence ΔDFE≈ ΔGFH  are similar.

2. ΔQRS≈ ΔTUV :- As QR = 3TU, The triangles are not similar.

3. ΔLMN≈ ΔLJK :- As  the  corresponding sides are  proportional, the triangles are similar.

For more such questions on triangles , Visit:

https://brainly.com/question/1058720

#SPJ11

To find the orthogonal projection of a vector onto a subspace, we can use the formula:

projᵥ(u) = A(AᵀA)⁻¹Aᵀᵤ,

where A is a matrix whose columns span the subspace, and u is the vector we want to project.

In this case, the subspace W is spanned by the vector v = [0, 0, 0, 1].

Let's calculate the orthogonal projection of u onto W using the formula:

A = [v]

The transpose of A is:

Aᵀ = [vᵀ].

Now, let's substitute the values into the formula:

projᵥ(u) = A(AᵀA)⁻¹Aᵀᵤ

= v⁻¹[vᵀ]u

= [v][(vᵀv)⁻¹vᵀ]u

Substituting the values of v and u:

v = [0, 0, 0, 1]

u = [1, 0, 0, 0]

vᵀv = [0, 0, 0, 1][0, 0, 0, 1] = 1

[(vᵀv)⁻¹vᵀ]u = (1⁻¹)[0, 0, 0, 1][1, 0, 0, 0] = [0, 0, 0, 1][1, 0, 0, 0] = [0, 0, 0, 0]

Therefore, the orthogonal projection of u onto the subspace W is [0, 0, 0, 0].

To learn more about orthogonal projection visit:

brainly.com/question/2264817

#SPJ11

When we subtract a velocity vector from another velocity vector, the result is B. another velocity.

When we subtract a velocity vector from another velocity vector, we are essentially finding the difference between the two velocities. This difference is also a velocity vector, but in a different direction and with a different magnitude. Therefore, the answer is another velocity, option B.

It is important to note that acceleration is a change in velocity, not the result of subtracting one velocity from another. Scalar refers to a quantity with only magnitude, whereas velocity is a vector quantity with both magnitude and direction. Displacement refers to the change in position of an object and is not directly related to subtracting velocity vectors.

To know more about velocity visit:

https://brainly.com/question/14534415

#SPJ11

Answer: 8118/131 decimal form -65

Step-by-step explanation: this part right here 2 62= 0.032

so 62-4/0.032-4/2= -65

sorry it took so long my pc is very laggy btw i was letting the dogs out my apologies

Answer:

2.80

Step-by-step explanation:

Seeing that your scale is 1cm to 1unit to on both axes

If you add a point C then draw lines connecting them it should look like the diagram above

But the distance between A to C and B to C are both 2 cm

Giving you a right angled triangle

So using the Pythagoras theorem

AB²=AC²+BC²

AB²=2²+2²

AB²=4+4

AB²=8

Take square root of both sides

√AB²=√8

AB= 2.828

To the nearest tenth that will be

AB=2.80

If you have a sentence "La abuela me dio ayer la paga. Me he gastado una tercera parte. Si me compro una gorra que cuesta 10€, ya solo me quedará otra tercera parte," it means that you received your allowance from your grandmother, spent a third of it, and then if you buy a cap that costs 10 euros, you will only have one-third left.

The total allowance received is unknown. But if you have spent a third of it, and the cost of the hat is €10, you will have one-third left. Let's assume that your total allowance is x.If you spent a third of it, then the amount spent is `(1/3)x`.Therefore, the amount remaining is `(2/3)x`.Since the cost of the cap is €10, you can create an equation: `(1/3)x - 10 = (2/3)x`.Solving for x, you can obtain the value of the total allowance received.Let's start solving:`(1/3)x - 10 = (2/3)x`Subtracting `(1/3)x` from both sides, we get:`-10 = (1/3)x`Multiplying both sides by -3, we get:`30 = x`Therefore, the total allowance received is €30.

We don't know the total amount of allowance you received. But we can use algebra to determine this. If you spent a third of your allowance, then you spent `(1/3)x`. If you buy a cap for €10, then you have one-third of your allowance remaining, which is `(2/3)x`.Using this information, we can create an equation:`(1/3)x - 10 = (2/3)x`Simplifying the equation by subtracting `(1/3)x` from both sides:`-10 = (1/3)x`Multiplying both sides by -3:`30 = x`Therefore, the total allowance received is €30.

To know more about total allowance visit :-

https://brainly.com/question/29496871

#SPJ11

The given statement "la abuela me dio ayer la paga. Me he gastado una tercera parte. Si me compro una gorra que cuesta 10€, ya solo me quedará otra tercera parte" is in Spanish.

which means "My grandmother gave me the allowance yesterday. I spent a third. If I buy a hat that costs 10€, I will only have another third left."

To find out how much money the author got as an allowance, the following algebraic equation can be used: x is the amount of money the author got as an allowance.

Then, x - x/3 = 10 + x/3

We have: x - x/3 = 10 + x/3

Simplify: 2x/3 = 10

Add x/3 to each side of the equation.

2x/3 + x/3 = 10 + x/32x/3 = 30/3

Simplify the left-hand side by adding the fractions together:

3x/3 = 30/3x = 10

Therefore, the author's allowance was 10€.

To know more about allowance visit:

https://brainly.com/question/30547006

#SPJ11

The functions y = 2 (1/5)^x - 5 and y = 4^x are compared as follows

                                  y = 2 (1/5)^x - 5             y = 4^x

Initial value:               2                                    1

base function:        1/5 = decay function       4 = growth function

Translation:             5 units down                    no transformation

A decay function is a mathematical function used in various fields such as physics, engineering, economics, and machine learning, to model the reduction or decline of a value over time.

It is a type of function that decreases at a rate proportional to its current value, so that it approaches zero as time progresses.

Decay function are exponential functions with the base function as

This is the opposite of growth function which has values greater than 1

Learn more about growth functions at:

https://brainly.com/question/27161222

#SPJ1

The rate of change of the function that has a graph that passes

through the points (-1, 3) and (-2,-4) is slope and is equal to 7.

We have given two points  (-1, 3) and (-2,-4) .

Rate of change of graph is given by slope

Using slope formula , we get

      m = -4 - 3 / -2 - (-1)

      m = -7 / -2 + 1

      m = -7 / -1

       m = 7

Learn more about slope here :

https://brainly.com/question/17248198

#SPJ9

Answer:

Step-by-step explanation:

-First, you have to find how many miles per minute the train goes.

You do this by dividing 45 by 28.

you get 45/28 miles per minute

-Then, you multiply 45/28 miles per minute by 60.

45 times 60 is 2700.

2700 divided by 28 is 675/7 which is:

Mixed number form: 96 and 3/7 miles per hour

rounded to the tenth: 96.4 miles per hour

rounded to the hundredth: 96.43 miles per hour

rounded to the thousandths: 96.429 miles per hour

Answer:

96.43 mph to the nearest hundredth.

Step-by-step explanation:

Speed in miles per minute = 45/28

To convert to mph we multiply by 60.

= (45*60)/28

= 96.429

The described sampling method is an example of random sampling.

The sampling method described in the question is known as simple random sampling, which is a common method of selecting a representative sample from a population.

In this method, each member of the population is assigned a unique number, and a certain number of individuals are selected randomly from the population.

Simple random sampling is a type of probability sampling, which means that each member of the population has an equal chance of being selected for the sample.

This is important because it ensures that the sample is representative of the population as a whole, and reduces the risk of sampling bias.

The process of simple random sampling is straightforward and easy to implement, making it a popular choice for researchers. However, it can be time-consuming and may not be practical for very large populations. In such cases, other sampling methods such as stratified sampling or cluster sampling may be more appropriate.

Overall, simple random sampling is a reliable and effective method of selecting a representative sample from a population, and is widely used in research studies and surveys.

For similar question on probability.

https://brainly.com/question/29155013

#SPJ11

A 99% confidence interval for the population mean daily vaccinations is [1154.06, 1245.94].

We can use the formula for a confidence interval for the population mean:

Confidence Interval = sample mean ± (critical value) * (standard error)

Where:

sample mean = 1200 (given)

critical value is obtained from a t-distribution table with n-1 degrees of freedom and the desired level of confidence. For a 99% confidence level with 89 degrees of freedom, the critical value is approximately 2.64.

standard error = population standard deviation / sqrt(sample size). In this case, standard error = 210 / sqrt(90) = 22.16.

Plugging in these values, we get:

Confidence Interval = 1200 ± 2.64 * 22.16

Confidence Interval = [1154.06, 1245.94]

Therefore, a 99% confidence interval for the population mean daily vaccinations is [1154.06, 1245.94].

Learn more about  population from

https://brainly.com/question/25896797

#SPJ11