Find the measure of the missing angle.
a
73°

The temperature on a cold winter day in Minnesota was - 6ﾟ F. the temperature decreased by 4ﾟ from a high of 2ﾟ earlier in the day situations could explain how the temperature became - 6ﾟF.

A physical number known as temperature expresses the concepts of hotness and coolness in numerical form. With a thermometer, temperature is measured. Thermometers are calibrated using a number of temperature scales that have defined distinct reference points and thermometric substances. The most widely used scales are the Kelvin scale (K), which is mostly used for scientific reasons, the Fahrenheit scale (°F), and the Celsius scale (°C), formerly known as centigrade, with the unit symbol °C. In the International System of Units, one of the seven base units is the kelvin (SI).The temperature was -6ﾟ F. This means that the temperature must have decreased from a higher temperature to reach - 6ﾟF. This can be explained by option C, the temperature decreased by 4ﾟ from a high of 2ﾟ earlier in the day.

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Answer: Relation

Step-by-step explanation: it is a relation because if you take any number on the x axis and look at its points there are two points on multiple parts

A triangle is isosceles triangle when the two sides and two angle of the triangle in equal in measure.

The approximate total area of the plastic triangles on the spinner is 7.7 squared centimetre.

A triangle is isosceles triangle when the two sides and two angle of the triangle in equal in measure.

The area of the isosceles triangle is given as,

\(A=\dfrac{1}{2}\times b\times \sqrt{a^2-\dfrac{b^2}{4} }\)

Here, \(a\) is the measure of equal sides and \(b\) is the measure of third side.

Given information-

The arrows of board game are congruent isosceles triangles connected at their bases.

isosceles triangles are connected at their bases.

The base of each triangle measures 2 centimetres

The perimeter of each triangle is 10 centimetres.

The perimeter of a triangle is sum of all its sides.

As the given triangle is isosceles triangle. Thus both the sides of the triangle should be equal.

Suppose the equal sides is x centimetres. The measure of third side is given which is equal to 2 centimetres. Thus,

\(x+x+2=10\\2x=10-2\\2x=8\\x=\dfrac{8}{2} \\x=4\)

Hence the length of the equal sides of the isosceles triangle is 4 cm.

Using the above formula as,

\(A=\dfrac{1}{2}\times b\times \sqrt{a^2-\dfrac{b^2}{4} }\\A=\dfrac{1}{2}\times 2\times \sqrt{4^2-\dfrac{2^2}{4} }\\A= \sqrt{16-\dfrac{4}{4} }\\A=3.871\)

Hence the area of one plastic arrow triangle is 3.71 square centimetre. The approximate total area of the plastic triangles on the spinner is twice of it. Thus,

\(A=3.71\times2\\A=7.7\)

Thus the approximate total area of the plastic triangles on the spinner is 7.7 squared centimetre.

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Answer:

The correct answer would be option C. 7.7 square centimeters

Step-by-step explanation:

Just got it right on edge. :)

Hope this helps!

Brainliest would be greatly appreciated :D

The Z-Score value for a particular sample with mean 70.07 and the standard deviation is 10.27 is equals to 0.97.

In statistics, the z-score is the numeric number of standard deviations by which t a raw score lies above or below the mean value. Positive z score represents value above the mean. We have a sample with sample mean, μ = 70.07

Standard deviations, σ = 10.27

We have to determine z score that corresponds to a raw score of 80. That is value of X = 80. Using the Z-Score formula, \(z = \frac{ X - \mu }{\sigma} \)

where X --> raw value

μ --> mean

σ--> standard deviations

Substituents all known values in above formula, \(z =\frac{ 80 - 70.07}{10.27} \)

\(z= \frac{ 9.93 }{10.27} \)

= 0.97

Hence, required value is 0.97.

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The compound inequality for the given situation is $2.75x + $4.25y ≥ $65 and $2.75x + $4.25y ≤ $75, where x represents the number of daylight cameras and y represents the number of flash cameras.

To solve this compound inequality, we need to find the values of x and y that satisfy both conditions. The inequality $2.75x + $4.25y ≥ $65 represents the lower bound, ensuring that the total cost of the cameras is at least $65. The inequality $2.75x + $4.25y ≤ $75 represents the upper bound, making sure that the total cost does not exceed $75.

To list the solutions involving whole numbers of cameras, we need to consider integer values for x and y. We can start by finding the values of x and y that satisfy the lower bound inequality and then check if they also satisfy the upper bound inequality. By trying different combinations, we can determine the possible solutions that meet these criteria.

After solving the compound inequality, we find that the solutions involving whole numbers of cameras are as follows:

(x, y) = (10, 10), (11, 8), (12, 6), (13, 4), (14, 2), (15, 0), (16, 0), (17, 0), (18, 0), (19, 0), (20, 0).

These solutions represent the combinations of daylight and flash cameras that fulfill the requirements of buying exactly 20 cameras and spending between $65 and $75.

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Answer:

50.27 cm

Step-by-step explanation:

We Know

The area of the circle = r² · π

Area of circle = 64π cm²

r² · π = 64π

r² = 64

r = 8 cm

Circumference of circle = 2 · r · π

We Take

2 · 8 · (3.1415926) ≈ 50.27 cm

So, the circumference of the circle is 50.27 cm.

Answer: C=16π cm or 50.24 cm

Step-by-step explanation:

The formula for area and circumference are similar with slight differences.

\(C=2\pi r\)

\(A=\pi r^2\)

Notice that circumference and area both have \(\pi\) and radius.

\(64\pi=\pi r^2\)        [divide both sides by \(\pi\)]

\(64=r^2\)             [square root both sides]

\(r=8\)

Now that we have radius, we can plug that into the circumference formula to find the circumference.

\(C=2\pi r\)          [plug in radius]

\(C=2\pi 8\)          [combine like terms]

\(C=16\pi\)

The circumference Is C=16π cm. We can round π to 3.14.

The other way to write the answer is 50.24 cm.

A.  Three practical assumptions applicable to this particular linear programming (LP) problem could be: Constant demand, Fixed costs and prices, Full utilization of capacity.

B. LP Model: Decision Variables, Objective Function, Constraints.

C. set up the LP model in Excel and run Solver to obtain the answer and sensitivity reports.

D. it would not be feasible to deploy buses to Malacca.

E. The revenue would decrease due to the lower number of passengers, while the cost may remain relatively fixed (assuming the breakdowns do not incur additional repair costs).

(a) Three practical assumptions applicable to this particular linear programming (LP) problem could be: Constant demand, Fixed costs and prices, Full utilization of capacity.

Constant demand: The LP model assumes that the demand for Merlion's point-to-point coach services remains constant throughout the planning period. This means that the number of passengers traveling between Singapore and Malaysia is assumed to be consistent.

Fixed costs and prices: The LP model assumes that the costs associated with operating the buses, such as fuel, maintenance, and driver salaries, remain fixed. It also assumes that the ticket prices charged to passengers are constant and do not change based on factors like demand or competition.

Full utilization of capacity: The LP model assumes that all available seats on each bus will be filled by passengers. It does not account for scenarios where there might be empty seats due to insufficient demand or other factors.

(b) LP Model: Decision Variables, Objective Function, Constraints.

Decision Variables:

Let X i represent the number of buses deployed to city i, where i can take values 1 to n (n being the total number of cities in Malaysia).

Objective Function:

Maximize daily profit:

Maximize Profit = ∑(Revenue - Cost)

Constraints:

Capacity constraint for each city:

∑(X i * Seats per Bus) ≤ Total Available Seats

Demand constraint for each city:

X i ≥ Minimum Demand i

Non-negativity constraint:

X i ≥ 0 for all i

(c) Solution using Excel Solver:

Please provide the following information:

Total available seats

Seats per bus

Minimum demand for each city

Revenue and cost data

With the given input, I can help you set up the LP model in Excel and run Solver to obtain the answer and sensitivity reports.

(d) To determine the profit per passenger required for buses to be deployed to Malacca, we need to consider the revenue and cost associated with each passenger. Let's assume the revenue per passenger is R and the cost per passenger is C.

The profit per passenger can be calculated as follows:

Profit per Passenger = Revenue per Passenger - Cost per Passenger

To deploy buses to Malacca, the profit per passenger should be at least equal to zero or positive. If the profit per passenger is negative, it means that the cost per passenger is higher than the revenue per passenger, resulting in a loss for each passenger. In such a case, it would not be feasible to deploy buses to Malacca.

(e) If two buses were to break down on a given day, it would impact Merlion's profit because there would be a reduction in the number of available buses to transport passengers. This could result in a lower revenue as fewer passengers can be accommodated.

To analyze the impact on profit, you would need to consider the revenue and cost implications of operating with reduced capacity. The revenue would decrease due to the lower number of passengers, while the cost may remain relatively fixed (assuming the breakdowns do not incur additional repair costs).

By estimating the revenue and cost changes based on the reduced capacity, you can compare the new profit with the original profit to determine the impact.

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One possible solution is

f(x) = x^4

g(x) = x-3

Since

f(x) = x^4

f(g(x)) = ( g(x) )^4

f(g(x)) = ( x-3 )^4

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

Another possible solution could be

f(x) = x^2

g(x) = (x-3)^2

Because

f(x) = x^2

f(g(x)) = ( g(x) )^2

f(g(x)) = ( (x-3)^2 )^2

f(g(x)) = (x-3)^(2*2)

f(g(x)) = (x-3)^4

Answer:

160 miles

Step-by-step explanation:

Company A form ​$130 a day plus $0.30 per mile

Company A = 130 + 0.30x

Company B charges ​$50 a day plus $0.80 per mile

Company B = 50 + 0.80x

Where,

x = number of miles

Equate the cost of company A and company B

130 + 0.30x = 50 + 0.80x

Collect like terms

130 - 50 = 0.80x - 0.30x

80 = 0.50x

Divide both sides by 0.50x

x = 80 / 0.50

= 160

x = 160 miles

The number of miles in a day at which the rental costs for Company A and Company B are the same is 160 miles

Answer:

8

Step-by-step explanation:

common Sense hope it helps

Answer:

Multiplication equation 6 t = 54 6t = 54 6t=54 Multiply each side by five.

The equation for this parabola is y = -2x² - 2x + 4.

An equation in which is  the highest power of to the  variables 1 is knowns as the  linear equation. Mathematically: it is an  algebraic equations that can be also  written in the form of  ax + b = 0 or ax + by + c = 0, where a, b and c are definitely real numbers and x and y are variables with the highest power one.

In order to solve this problem, we must set up a proportion. Proportions are an equation that states that two ratios are equal. In this case, we are looking for the number of cats (c) in the animal shelter.
No, there does not have to be a parabola that will pass through any three points. For a parabola to pass through three points, the three points must be collinear, meaning that they must lie on the same straight line. If the three points are not collinear, then there is no parabola that will pass through them.

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The surface area of the larger sphere is equal to 636.365 square centimeters.

In this question we must estimate the surface area of the smaller sphere. By geometry we know that the volume of a sphere is directly proportional to the cube of its radius and the surface area is directly proportional to the square of radius, then the volume to surface area ratio is equal to:

V/A = k · r      (1)

Where:

Then, we can derive the following relationship between the two spheres by eliminating the proportionality constant:

V/(A · r) = V'/(A' · R)     (2)

Where:

First, we need to determine the radii of the spheres:

Larger radius

R = ∛(3 · V' / 4π)

R = ∛(3 · 647 / 4π)

R ≈ 5.365 cm

Smaller sphere

r = ∛(3 · V / 4π)

r = ∛(3 · 87 / 4π)

r ≈ 2.749 cm

Lastly, we find the surface area of the larger sphere:

A · r · V' = A' · R · V

A' = (A · r · V') / (R · V)

A' = (167 · 2.749 · 647) / (5.365 · 87)

A' = 636.365 cm²

The surface area of the larger sphere is equal to 636.365 square centimeters.

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Answer:

The third answer: no, the answer shows that metals only melt at temperatures greater than -38.87 degrees celsius.

Step-by-step explanation:

The solution to the expression y² is 81 when y = -9

From the question, we have the following parameters that can be used in our computation:

y = -9

Also, from the question, we have

y2

Express the exponents in the above expression properly

So, we have the following representation

y²

Substitute the known values in the above equation, so, we have the following representation

y² = (-9)²

Remove the bracket in the expression

'This gives

y² = 9²

Evaluate the exponent

So, we have the following representation

y² = 81

Hence, the solution is 81

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Answer: 21

Step-by-step explanation:4/4=1  5x4=20  20+1 = 21

Answer:

\(4\frac{1}{6}\)

Step-by-step explanation:

Assumming these 2 triangles are similar we make a ratio for the 2 sides

the side mark 12 corresponds with 10 and x corresponds with 5

10/12=x/5

now cross multiply

10(5)=12x

50=12x

/12. /12

4 2/12=x

4 1/6=x

hopes this helps

Answer:

1.5

Step-by-step explanation:

because if u divide 6 by 4 that will equal 1.5

Answer:

8=16a=2b=c

Step-by-step explanation:

2^5/4=2^5/2^a=2^b=c

32/4=2^5/2^a=2^b=c

8=2^5/2^a=2^b=c

8=32/2^a=2^b=c

8=32/2a=2^b=c

8=16a=2^b=c

8=16a=2b=c

Answer:

200.96

Step-by-step explanation:

A = 3.14(8^2)

3.14 * 8 * 8

3.14 * 64

200.96

Answer:

if it is 1.1 times 8 that would be 8.8, but if it is just 11 times 8 that would be 88.

Step-by-step explanation:

Answer:

apolynomial p has zeros

Answer:

p(x)=(x-5)(x+1)(4x+1)

Answer:

Inital height is 20

Step-by-step explanation:

h= (-5x-5)(x-4)

h= -5x^2+15x+20

Answer:

A=17,243.95 is the answer. Hope this helps!

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David conducted an online poll to gauge the level of appreciation his listeners have for his show. Out of the 200 respondents who participated in the poll, an impressive 89% expressed their love for the podcast. This indicates a high level of satisfaction and support from the audience. Gathering feedback through polls can provide valuable insights for content creators like David, helping them understand their audience's preferences and make informed decisions about their podcast. By engaging his listeners and actively seeking their feedback, David can continue to improve and cater to their interests, ultimately enhancing their overall experience with the show.

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Here's a sample program in C++ that satisfies your requirements:

```
#include
using namespace std;

int main() {
 int num;
 cout << "Enter an integer between 0 and 35: ";
 cin >> num;

 if (num <= 9) {
   cout << num << endl;
 } else if (num >= 10 && num <= 35) {
   char letter = static_cast('A' + num - 10);
   cout << letter << endl;
 } else {
   cout << "Invalid input." << endl;
 }

 return 0;
}
```

- The program prompts the user to input an integer between 0 and 35 using the `cout` and `cin` statements.
- The `if` statement checks whether the number is less than or equal to 9. If it is, it outputs the number using the `cout` statement.
- The `else if` statement checks whether the number is between 10 and 35 (inclusive). If it is, it calculates the corresponding letter using the ASCII value for 'A' and the given number. The `static_cast` statement converts the calculated value to a character. Finally, the program outputs the letter using the `cout` statement.
- The `else` statement handles the case when the input is outside the range of 0 to 35. It outputs an error message using the `cout` statement.
- The program ends with the `return 0` statement.

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Answer:

p = 73.21 pounds of strawberries

Step-by-step explanation:

M + 10 = 5.6p - 96

314 + 10 = 5.6p - 96

314 +96 = 410

410 = 5.6p

410/5.6 = p

73.2142857143 = p

p = 73.2142857143

Answer:

75 pounds

Step-by-step explanation:

Replace M in the equation with 314

314 + 10 = 5.6p - 96

324 = 5.6p - 96

5.6p = 324 + 96

5.6p = 420

Divide both sides by 5.6

p = 75

n/16 lies between 4/16 and 8/16

So, n can be 5,6,7

Answer:

5, 6 , 7

Step-by-step explanation:

Change 1/4 and 1/2 to the values they would be if their denominator was 16

1/4 will become 4/16

1/2 will become 8/16

the values between these are 5/16, 6/16, 7/16

n can be 5, 6 or 7