I need help with this question pls

The relationship between the Angles in triangle DEF,  the exact value of side d.

The length of side d in triangle DEF, we can use the Law of Sines, which relates the lengths of the sides of a triangle to the sines of their opposite angles. The Law of Sines states:

a/sin(A) =b/sin(B) = c/sin(C)

In this case, we know that angle D is 47°, side e has a length of 12 units, and side f has a length of 8 units. Let's label side d as x.

Applying the Law of Sines, we have:

x/sin(D) = e/sin(E)

Substituting the known values:

x/sin(47°) = 12/sin(E)

To find the value of sin(E), we can use the fact that the sum of the angles in a triangle is 180°:

E = 180° - D - E = 180° - 47° - E

E = 133° - E

Now we can rewrite the equation as:

x/sin(47°) = 12/sin(133° - E)

To find the value of sin(133° - E), we can use the identity sin(a - b) = sin(a)cos(b) - cos(a)sin(b):

sin(133° - E) = sin(133°)cos(E) - cos(133°)sin(E)

We know that sin(133°) and cos(133°) are fixed values.

Now we can substitute the values into the equation:

x/sin(47°) = 12 / (sin(133°)cos(E) - cos(133°)sin(E))

To find the value of sin(133°) and cos(133°), we can use a calculator

sin(133°) ≈ 0.9781

cos(133°) ≈ -0.2079

Substituting these values into the equation:

x/sin(47°) = 12 / (0.9781cos(E) - (-0.2079)sin(E))

We can rearrange the equation to solve for x:

x = (12 * sin(47°)) / (0.9781cos(E) + 0.2079sin(E))

the relationship between the angles in triangle DEF, we cannot find the exact value of side d.

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Error made by parul as solving inequality , she should divide with -5 instead of multiplying and she had to change inequality sine.

Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.

Inequality of a graph is represented with the greater then(<), less then(>) or with the other inequity signs. The inequality line on the graph is represented with the dotted lines.

The equation of inequality given as,

\(-5x-3.5>6.5-5x-3.5>6.5\)

To solve the above equation, isolate the term x. Add number 3.5 both side of the equation as,

\(-5x-3.5+3.5>6.5+3.5-5x-3.5+3.5>6.5+3.5\)

Solve it further as,

\(-5x>10-5x>10\)

Divide both the sides of the equation with number -5 as,

\(x<10x<10\)

The sign of inequality is changed, as we divide by negative number.

Thus, in final step solving inequality , Parul should divide with -5 instead of multiplying. Parul make one more error as she did not change inequality sine.

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Answer:

q+72

Step-by-step explanation:

The conditions for constructing a t-confidence interval are met.

In order to construct a t-confidence interval for the mean amount of time the students spend completing the homework assignment, the following conditions must be met:

The data must be a random sample from the population of interest
The sample size must be sufficiently large (typically, n > 30)
The data should be approximately normally distributed
The population standard deviation or variance must be unknown
From the information provided it can be inferred that the data is a random sample (30 students out of 75 students) and that the population standard deviation or variance is unknown. If the sample size is greater than 30, and the data is approximately normal or the sample size is large, then the conditions for constructing a t-confidence interval are met.

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The linear equation that represents the plant height is the one in the first option:

y = 14 + (3/2)x

We know that the initial height of the plant (this will be the y-intercept of the line) is 14cm, and we also know that the plant grows at a rate of 3/2 cm each day.

So, after x days, the plant is x times 3/2cm plus 14 cm of height, so the linear equation is:

y = 14 + (3/2)x

So the correct option is the first one.

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Answer:

d+c less than or equal to 15  

Answer: .75 + .25x ≤ 7

Step-by-step explanation: The x equals the amount that you can buy for each item.

Answer:

19/12 or 1 7/12

Step-by-step explanation:

1/4*3=3/4

3/4+5/6

9/12+10/12= 19/12

The best deal is to buy 12 pounds. Winnie should buy the 12 pound bags.

Given that, there are 4 deals, i.e.

To get the best deal, calculating the cost of one pound for each deal.

For deal 1, Cost of one pound is \(\dfrac{\$4.99}{4.2} = \$1.19\)

For deal 2, Cost of one pound is \(\dfrac{\$9.27}{8.5} = \$1.09\)

For deal 3, Cost of one pound is \(\dfrac{\$11.04}{12} = \$0.92\)

For deal 4, Cost of one pound is \(\dfrac{\$18.99}{20} = \$0.95\)

Here the lowest cost of one pound is $0.92 which is deal 3.

So, the best deal is to buy 12 pounds. Winnie should buy the 12 pound bags.

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Answer:

18

Step-by-step explanation:

.5 is 5 4 and below round down 5 and up round up

Answer:

5,_5,5,

_8,_3,5,

Step-by-step explanation:

from 5 u get _8,from _5 you get _3 and so on

Answer:

Triangle inequality rule states that the sum of eachpair of sides must be greater than the third sides.

240 + 123 > 207 true

240 + 207 > 123 true

123 + 207 > 240 true

A = √(s(s-a)(s-b)(s-c))

s is the semi-perimeter (a + b + c)/2

s = (240 + 123 + 207)/2

s = 285

A = √(285*(285-249)(285-123)(285-207))

A = 12,730 units^2

Step-by-step explanation:

Maria must cut an additional $70 from her expenses each month in order to save enough money to buy a new TV that costs $420 in 6 months. By allocating this additional amount towards her savings goal, she will be able to reach her target within the desired timeframe. It's important for Maria to review her budget and identify areas where she can reduce expenses in order to make room for the additional savings. This could involve cutting back on discretionary spending, finding ways to save on daily expenses, or exploring opportunities to increase her income.

Maria must cut an additional $70 from her expenses each month.

To determine how much additional money Maria must cut from her expenses each month to afford a new TV that costs $420 in 6 months, we divide the total cost by the number of months.

Additional money per month = Total cost / Number of months

Additional money per month = $420 / 6

Additional money per month = $70

With careful planning and commitment to her budget, Maria can achieve her goal of purchasing a new TV without compromising her financial stability.

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Answer:

C. five samples.

Step-by-step explanation:

Engineers can be held most morally blameworthy for foreseeable harms resulting from technological innovations, engineers have a responsibility to anticipate the potential consequences of their work,

and to take steps to mitigate those consequences. If they fail to do so, and their work results in harm, they can be held morally blameworthy. When engineers develop new technologies, they have a responsibility to consider the potential consequences of their work.

They need to think about how their technology could be used, and whether it could be used to harm people or the environment.

They also need to consider how their technology could be misused, and what steps they can take to prevent misuse.

If engineers fail to consider the potential consequences of their work, and their work results in harm, they can be held morally blameworthy. This is because they have a duty to protect the public from harm, and they have failed to fulfill that duty.

For example, engineers who develop new weapons systems have a responsibility to consider the potential consequences of their work. They need to think about how their weapons could be used,

and whether they could be used to kill or injure innocent people. They also need to consider how their weapons could be misused, and what steps they can take to prevent misuse.

If engineers fail to consider the potential consequences of their work, and their weapons are used to kill or injure innocent people, they can be held morally blameworthy. This is because they have a duty to protect the public from harm, and they have failed to fulfill that duty.

It is important to note that engineers cannot be held morally blameworthy for unforeseeable harms. This is because they did not have the opportunity to anticipate the harm, and they could not have taken steps to prevent it.

For example, engineers who develop new medical treatments cannot be held morally blameworthy if the treatments have unforeseen side effects. This is because the engineers did not have the opportunity to anticipate the side effects, and they could not have taken steps to prevent them.

In conclusion, engineers can be held morally blameworthy for foreseeable harms resulting from technological innovations.

This is because they have a responsibility to anticipate the potential consequences of their work, and to take steps to mitigate those consequences.

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Answer:

$27

Step-by-step explanation:

Set up a proportion where x is the amount of money he saved:

\(\frac{12}{9}\) = \(\frac{36}{x}\)

Cross multiply and solve for x:

12x = 324

x = 27

So, he saved $27

Answer:

A 6-sided shape is a hexagon.

Answer:

(a+b)^2 = a^2 + 2ab + b^2pq + 8x + 2pq + x^2 = x^2 + 3pq + 8x(4pq/2pq)^2 = (2)^2 = 44^16 ÷ 4^4 = 4^12 = 16,777,216To solve for x, we can start by isolating x on one side of the equation:

5x = 1/25

x = (1/25) ÷ 5

x = 1/125

The sample space for this experiment consists of 12 possible outcomes.

The sample space is a collection of all possible outcomes of an experiment.

There are three types of soups, two types of salads, and two types of sandwiches. Therefore, the sample space consists of 3x2x2 = 12 possible outcomes.

There could be a tomato soup, a spinach salad, and a turkey sandwich, which would be one possible outcome in the sample space. There could also be a minestrone soup, a Caesar salad, and a grilled cheese sandwich, which would be another possible outcome in the sample space.

Therefore, the sample space for this experiment consists of 12 possible outcomes, each of which is unique and representative of the customer's randomly chosen lunch.

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Answer:

The third one i think

Step-by-step explanation:

By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.

WHat is Divisibility?

Divisibility is a mathematical property that describes whether one number can be divided evenly by another number without leaving a remainder. If a number is divisible by another number, it means that the division process results in a whole number without any remainder. For example, 15 is divisible by 3

To prove that 4 evenly divides 11n - 7n for any positive integer n, we can use mathematical induction.

Base Case:

When n = 1, 11n - 7n = 11(1) - 7(1) = 4, which is divisible by 4.

Inductive Step:

Assume that 4 evenly divides 11n - 7n for some positive integer k, i.e., 11k - 7k is divisible by 4.

We need to prove that 4 evenly divides 11(k+1) - 7(k+1), which is (11k + 11) - (7k + 7) = (11k - 7k) + (11 - 7) = 4k + 4.

Since 4 evenly divides 4k, and 4 evenly divides 4, it follows that 4 evenly divides 4k + 4.

By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.

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Answer:

Glenda is faster

Step-by-step explanation:

Glenda types 65 wpm (195/3), and Jorge types at 59 wpm (236/4)

The angle of rotation at the point \(\(z_0 = 2i + 1\)\) when \(\(w = z^2\)\) is \(\(2\arctan(2)\),\) which is approximately 1.107 radians or 63.43 degrees.

To determine the angle of rotation at the point \(\(z_0 = 2i + 1\)\) when \(\(w = z^2\),\) we can follow these steps:

1. Express \(\(z_0\)\) in polar form: To find the polar form of \(\(z_0\)\), we need to calculate its magnitude \((\(r_0\))\) and argument \((\(\theta_0\))\). The magnitude can be obtained using the formula \(\(r_0 = |z_0| = \sqrt{\text{Re}(z_0)^2 + \text{Im}(z_0)^2}\)\):

\(\[r_0 = |2i + 1| = \sqrt{0^2 + 2^2 + 1^2} = \sqrt{5}\]\)

  The argument \(\(\theta_0\)\) can be found using the formula \(\(\theta_0 = \text{arg}(z_0) = \arctan\left(\frac{\text{Im}(z_0)}{\text{Re}(z_0)}\right)\)\):

\(\[\theta_0 = \text{arg}(2i + 1) = \arctan\left(\frac{2}{1}\right) = \arctan(2)\]\)

2. Find the polar form of \(\(w\)\): The polar form of \(w\) can be expressed as \(\(w = |w|e^{i\theta}\)\), where \(\(|w|\)\) is the magnitude of \(\(|w|\)\) and \(\(\theta\)\) is its argument. Since \((w = z^2\)\), we can substitute z with \(\(z_0\)\) and calculate the polar form of \(\(w_0\)\)using the values we obtained earlier for \(\(z_0\)\):

 \(\[w_0 = |z_0|^2e^{2i\theta_0} = \sqrt{5}^2e^{2i\arctan(2)} = 5e^{2i\arctan(2)}\]\)

3. Determine the argument of \(\(w_0\):\) To find the argument \(\(\theta_w\)\) of \(\(w_0\)\), we can simply multiply the exponent of \(e\) by 2:

  \(\[\theta_w = 2\theta_0 = 2\arctan(2)\]\)= 1.107 radians

Therefore, the angle of rotation at the point \(\(z_0 = 2i + 1\)\) when \(\(w = z^2\)\) is \(\(2\arctan(2)\).\)

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The complete question is:

"Determine the angle of rotation, in radians and degrees, at the point z0 = 2i + 1 when w = z^2."

Answer: x=45

Step-by-step explanation:

To solve for x, we first need to understand the figure. We know TV and RS are parallel lines. If we extend TV to the left, we get a straight line parallel to RS. By Alternate Interior Angles, We know ∠R is equivalent to ∠T on the very left. Therefore, we can set it equal to 180° and solve.

x+2x+x=180          [combine like terms]

4x=180                  [divide both sides by 4]

x=45

Now, we know x=45.

Answer:

3.03%

Step-by-step explanation:

33 patients are admitted to the hospital. Out of those 33, 1 person is readmitted. What percentage of patients are readmitted?

The Percentage of patients readmitted =

Number is patient's readmitted/Total number of patients × 100

= 1/33 × 100

= 3.0303030303 %

Approximately = 3.03%

Therefore, the percentage of patients that are readmitted is 3.03%