- Find the length of the missing side of the light the
8 cm
15 cm

A.)289 cm
B.)17 cm
C.)23 cm
D.)4.79 cm

It is less appropriate to express the area of the property cultivated by the agricultural cooperative in m² because this unit of measurement is too small for such a large area.

The area of a property cultivated by an agricultural cooperative is typically very large, often spanning several hectares or even square kilometers. Expressing the area in m² would result in a very large number that is difficult to comprehend and work with. It is more appropriate to use a larger unit of measurement, such as hectares or square kilometers, to express the area of the property cultivated by the agricultural cooperative. This allows for a more concise and understandable representation of the area.

See more about area units at https://brainly.com/question/10589191

#SPJ11

Answer:

7r is the correct answer

Step-by-step explanation:

7 x 8 = 56

Answer:

4 minutes to 4 is actually 3 56 am or pm

Step-by-step explanation:

it simply means you are left with 1 2 3 4 minutes only till is 4 o'clock

A possible set of scores for the students is: 4, 4, 6, 6, 6

We are given that five students took the quiz. If the lowest score is 4 and the highest score is 6, we can say that the set of values ​​can be expressed as:

4, x, y, z, 6

Here we can see that the mode is 6 and the mean is 5.2. Therefore, at least one other student of hers has scored her 6, which could result in:

4, x, y, 6, 6

Therefore:

(4 + x + y + 6 + 6)/5 = 5.2

16+x+y=26

x + y = 10

So the other two numbers are probably 6 and 4, because 6 is the mode, so they can't both be 5.

Read more about Measures of Central Tendencies at: https://brainly.com/question/17631693

#SPJ4

For the given inequality 14 - 3f > 2 the option that comes out be correct is

f < 4 i.e option 2.

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way.The majority of the time, size comparisons between two numbers on the number line are made.

Here, "Less than" and "Greater than" have new meanings.

Less-than sign is the symbol for such phrase.

14 - 3f > 2

adding 3f on both sides:

14 - 3f + 3f > 2 + 3f

14 > 2 + 3f

subtracting 2 on both sides:

14 - 2 > 2 + 3f - 2

12 > 3f

dividing 3 on both sides:

(12)/3 > (3f)/3

4 > f

which means f < 4

Therefore, option 2 is correct.

To know more about inequality, follow link:

https://brainly.com/question/29614698

#SPJ1

The independence assumption says that all sample respondents must do so independently, meaning they are not coerced into responding. Thus, option C is the right answer.

What is the independence assumption? The independence assumption is a term used in statistical surveys that refers to the idea that survey participants' responses are not influenced by each other. As a result, data is seen as independent because it is not influenced by any other data in the same sample. This assumption is critical since it aids in the development of statistical analysis, which is used to understand how variables relate to one another. A, B, D, and E options are not correct because:

A. Each sample needs to have a sample size of 30 or more. This is not correct because it's a condition used in the Central Limit Theorem.

B. All observations have to be drawn from the same distribution: This is not correct because the assumptions depend on the study.

C. All sample respondents must do so independently, meaning they are not coerced into responding: This is the right option because the independence assumption says that all sample respondents must do so independently, meaning they are not coerced into responding.

D. Non-response must be kept to a minimum. This is not correct because it is about survey sample bias, not independence.

E. None of the above: This is not the right answer because option C is the right answer.

To learn more about “Central Limit Theorem” refer to the https://brainly.com/question/18403552

#SPJ11

Therefore, the rectangle with dimensions 11 and 11 (width and length, respectively) has the minimum perimeter.

Let's denote the length of the rectangle as L. Since the area of the rectangle is given as 121, we have the equation L * w = 121.

We are looking for the rectangle with the minimum perimeter. The perimeter P can be calculated as 2L + 2w.

To write the objective function in terms of P and w, we substitute L from the area equation:

2L + 2w = 2(121/w) + 2w

Simplifying, we get:

P = 242/w + 2w

The interval of interest for the objective function P is the range of valid values for w. Since the width is less than the length, we can assume that w > 0. Also, from the area equation, we have L * w = 121, so w = 121/L. Since w > 0, L must be greater than 0. Therefore, the interval of interest is (0, ∞), meaning the width can take any positive value.

To find the dimensions that result in the minimum perimeter, we need to minimize the objective function P. Taking the derivative of P with respect to w and setting it to zero will give us the critical points. Let's differentiate:

dP/dw = -242/w^2 + 2

Setting dP/dw to zero:

-242/w^2 + 2 = 0

242/w^2 = 2

w^2 = 242/2

w^2 = 121

w = 11

Since the width cannot be negative, we discard the negative solution. Thus, the width w = 11.

Substituting this value back into the area equation, we can find the length L:

L * 11 = 121

L = 121/11

L = 11

To know more about rectangle ,

https://brainly.com/question/28692976

#SPJ11

In response to the question, we may say that Therefore, the cost of a equation calculator is $10.7 and the cost of a protractor is $1.9.

Let the cost of one calculator be c and the cost of one protractor be p. Then we can write two equations based on the information given:

40c + 30p = 485 (Equation 1)

20c + 20p = 252 (Equation 2)

We can simplify Equation 2 by dividing both sides by 20:

c + p = 12.6 (Simplified Equation 2)

Now we can solve this system of equations using substitution. Solving Equation 2 for c, we get:

c = 12.6 - p

Substituting this expression for c into Equation 1, we get:

40(12.6 - p) + 30p = 485

Expanding and simplifying:

504 - 40p + 30p = 485

Solving for p:

-10p = -19

p = 1.9

Substituting this value for p into Simplified Equation 2, we get:

c + 1.9 = 12.6

Solving for c:

c = 10.7

Therefore, the cost of one calculator is $10.7 and the cost of one protractor is $1.9.

To know more about equation visit:

brainly.com/question/649785

#SPJ1

Answer:

Company B

Step-by-step explanation:

Given

See attachment for graph

Required

Company with the least additional fee

This means the y-intercept and it represents the flat fee

To get the y-intercept, we simply write out the point where \(x= 0\)

From the graph of A, we have:

\((x,y) = (0,70)\)

Additional Charges = 70

From the table of B, we have:

\((x,y) = (0,50)\)

Additional Charges = 50

From the equation of C, we have:

\(y=10x+ 90\)

\(y(0) = 10 * 0 + 90\)

\(y(0) =0 + 90\)

\(y(0) =90\)

Additional Charges = 90

By comparison. company B has the least additional fee because: \(50 < 70 < 90\)

Answer:

(-3,0)

Step-by-step explanation:

So first we wanna find how for the x value is on point a to point b and how far the y value is from point a to point b. the x on point a is 9 units away from point b and y is 18 units away. Then we find out what 2/3s of 9 and 18 is which would be 6 and 12. So then we take the A coordinates (9,-6) and subtract 12 from the x value and 6 from the y value to get the new coordinates of (-3,0)

Answer:

Smaller number-47.5

Larger number-52.5

Step-by-step explanation:

We will make the smaller number x. If the smaller number is x, then the larger number will be equal to x+5. We also know that when we add the two numbers, we get 100. We can make the equation

x+x+5=100

100-5=95

2x=95

95/2=47.5

x=47.5

The smaller number equals 47.5 and the larger number is 47.5+5 which equals 52.5

Answer:

area= l X w

are=20

4 x 5= 20

volume=l x w x h

20 x 5

20 x 5= 100

volume=100

Step-by-step explanation:

Answer:

100, multiply the area and the height to get the volume. 20 x 5 = 100.

The simplified expression of cos^2x sin^4x is cos^2x - 2cos^4x + cos^6x.

The expression cos^2x sin^4x can be simplified by using the trigonometric identity that states sin^2x + cos^2x = 1.

We can rewrite cos^2x sin^4x as cos^2x (sin^2x)^2. Then, using the trigonometric identity sin^2x + cos^2x = 1, we can substitute (1 - cos^2x) for sin^2x.

This gives us cos^2x (1 - cos^2x)^2, which can be expanded using the binomial theorem to give cos^2x (1 - 2cos^2x + cos^4x).

Finally, we can simplify this expression further by distributing the cos^2x term and collecting like terms to get cos^2x - 2cos^4x + cos^6x.

Therefore, the simplified expression of cos^2x sin^4x is cos^2x - 2cos^4x + cos^6x.

Learn more about expression here

https://brainly.com/question/1859113

#SPJ11

In the linear programming problem, there is only one optimal solution that would best fit the empty space above (Option A)

To determine the best-fit option, we need to analyze the given linear programming problem.

Max Z = 6x₁ + 16x₂

Subject to:

3x₁ + 8x₂ ≤ 20

7x₁ + 15x₂ ≤ 45

3x₁ + 5x₂ ≤ 20

x₂ ≥ 10

x₁, x₂ ≥ 0

To determine the nature of the problem, we need to consider the feasibility and boundedness.

All constraints are linear inequalities, and the problem does not have any equality constraints. Additionally, the constraints do not contradict each other. Therefore, the problem is feasible.

The objective function coefficients for x₁ and x₂ are positive. The feasible region is bounded by the given constraints, and the feasible region is not infinite. Therefore, the problem is bounded

Based on the analysis, the correct option that best fits the empty space above is:

Only one optimal solution

Since the problem is both feasible and bounded, there exists a unique optimal solution that maximizes the objective function Z.

Learn more about Linear programming: https://brainly.com/question/15356519

#SPJ11

Answer:

h=0.8

Step-by-step explanation:

Steps

$h+\frac{6}{5}=2$

$\mathrm{Subtract\:}\frac{6}{5}\mathrm{\:from\:both\:sides}$

$h+\frac{6}{5}-\frac{6}{5}=2-\frac{6}{5}$

Show Steps

$\mathrm{Simplify}$

$h=\frac{4}{5}$

Answer:

The answer would be 2h

Step-by-step explanation:

please let this be helpful

Answer: 8.25 miles

Step-by-step explanation:

12.75 - 4.5 = 8.25

The graph of a proportional relationship passes through the origin, and as a constant slope

The given parameter is:

For a proportional relationship, the equation of the graph is represented as:

\(y = kx\)

Substitute 10/7 for k

\(y = \frac{10}7x\)

See attachment for the graph of the proportional relationship

Read more about proportional relationships at:

https://brainly.com/question/12242745

Answer:

272

Step-by-step explanation:

45 and a third = 45 1/3

one sixth = 1/6

hence:

45 and a third divided by one sixth =

= 45 1/3 ÷ 1/6

= 136/3 ÷ 1/6

We convert to multiplication by converting 1/6 to its reciprocal which is 6/1

Hence:

= 136/3 ×6/1

= 272

Answer:

y = -2x - 12

Step-by-step explanation:

since they are asking for a parallel line, the slope will be the same:

in this case:

-2

now, we are given a point that the line goes through: (-6,0)

x is -6, y is 0

knowing all of these things, solve it:

0 = -2*(-6) + b

0 = 12 + b

b = -12

the equation of a line is y = mx +b

so:

y = -2x - 12

Answer:

504

Step-by-step explanation:

40%=.40

360*.40=144

original number + increase = x

360+144=504

The number of fruit baskets that the grocery store can make is 13 (option B)

The first step is to determine the factors of 91 and 39. The factor of a number is a number that perfectly divides another number.

Factors of 91 = 1, 7, 13 and 91.

Factors of 39 = 1, 3, 13, and 39.

The second step is to determine the highest common factor of both numbers. This number is 13. The highest common factor is the factor that is common to two or more numbers.

To learn more about highest common factor, please check: https://brainly.com/question/26073850

#SPJ1

The data value that corresponds to the 46th percentile is 10.

To find the data value that corresponds to the 46th percentile, we need to arrange the given data in ascending order and then identify the value at the desired percentile.

Arranging the data in ascending order:

7, 12, 14, 16, 19, 19, 19, 25, 25, 27, 28, 28, 34, 37, 38, 40, 53, 69, 92, 115, 200

Since we have 21 data values, the 46th percentile corresponds to the (46/100) * 21 = 9.66th value.

To find the corresponding data value, we round up the decimal value to the nearest whole number, which is 10.

for more questions on percentile

https://brainly.com/question/30705745

#SPJ8

Answer: $23.92

Step-by-step explanation:

First, we know that 6 bagels is $2.99.

48/6=8

This means that 6 is a multiple of 48, which makes it easier to solve.

$2.99 x 8 = 23.92

= $23.92

Answer:

number of meters per hour x 4 hours = the height after 4 hours

Step-by-step explanation:

Answer:

the answer is true

hope this gives you your answer!

:)

Answer:

True

Step-by-step explanation:

Both Jacob and Genesis have a constant of variation of 2 pages per minute

Jacob

90/45= 2

Genesis

120(2 hs.)/60= 2

Answer:

8.12857143

Step-by-step explanation:

When Tracey pours all the water from the smaller 5-inch cube container into the larger 7-inch cube container, the water will be approximately 7 inches deep in the larger container.

To find out how deep the water will be in the larger container, we need to consider the volume of water transferred from the smaller container. Since both containers are cube-shaped, the volume of each container is equal to the length of one side cubed.

The volume of the smaller container is 5 inches * 5 inches * 5 inches = 125 cubic inches.

When Tracey pours all the water from the smaller container into the larger container, the water completely fills the larger container. The volume of the larger container is 7 inches * 7 inches * 7 inches = 343 cubic inches.

Since the water fills the larger container completely, the depth of the water in the larger container will be equal to the height of the larger container. Since all sides of the larger container have the same length, the height of the larger container is 7 inches.

Therefore, the water will be approximately 7 inches deep in the larger container.

For more such questions on container

https://brainly.com/question/29398973

#SPJ8

To find the minimum score of the top 2.5% of students, we need to calculate the z-score corresponding to the 97.5th percentile and then convert it back to the original SAT score scale.

First, let's calculate the z-score using the formula:

z = (x - μ) / σ

where x is the SAT score, μ is the mean (1175), and σ is the standard deviation (120).

To find the z-score corresponding to the 97.5th percentile, we need to find the z-score value that leaves 2.5% in the tail of the distribution (to the right).

Using a standard normal distribution table or a statistical calculator, we find that the z-score corresponding to the 97.5th percentile is approximately 1.96.

Now we can solve for x (the SAT score) in the z-score formula:

1.96 = (x - 1175) / 120

Multiply both sides by 120:

1.96 * 120 = x - 1175

235.2 = x - 1175

Add 1175 to both sides:

235.2 + 1175 = x

1410.2 = x

Therefore, the minimum score of the top 2.5% of students is approximately 1410.

Learn more about z-score here : brainly.com/question/31871890

#SPJ11