SOLVE THIS SAT PROBLEM AND FIND M<14

Answer: m

Explanation: m

The length of h in ΔHIJ with i = 400 inches, m∠I=155°, and m∠J=7° is approximately 32.3 inches to the nearest 10th of an inch, using the Law of Sines.

What is law of sines?
The Law of Sines, also known as the Sine Rule, is a trigonometric formula used to solve triangles. It states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all three sides of the triangle. Mathematically, the Law of Sines can be expressed as:

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

where a, b, and c are the side lengths of the triangle, and A, B, and C are the opposite angle measurements.

The Law of Sines can be used to solve for the unknown side lengths or angle measurements of a triangle if you have at least one known side length and its opposite angle measurement, or if you have at least two known side lengths and one of their opposite angle measurements.


Given that i = 400 inches, m∠I=155°, and m∠J=7°, we can use the Law of Sines to solve for the length of h. The Law of Sines states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all three sides of the triangle.

Using this, we have:

sin(155°) / i = sin(7°) / h

Solving for h, we get:

h = i * sin(7°) / sin(155°)

Plugging in the values, we get:

h = 400 * sin(7°) / sin(155°) ≈ 32.3 inches

Therefore, the length of h is approximately 32.3 inches to the nearest 10th of an inch.

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If a hypothesis test gives a p-value of 0.004, then it means that there is strong evidence against the null hypothesis.

The p-value is the probability of obtaining a test statistic as extreme as, or more extreme than, the observed one, assuming that the null hypothesis is true. In this case, a p-value of 0.004 indicates that there is only a 0.4% chance of observing a test statistic as extreme as the one obtained, if the null hypothesis were true.

Typically, in hypothesis testing, a significance level (alpha) is chosen beforehand, and if the p-value is less than or equal to alpha, the null hypothesis is rejected in favor of the alternative hypothesis. A commonly used significance level is 0.05, which means that if the p-value is less than or equal to 0.05, the null hypothesis is rejected at the 5% level of significance.

Therefore, in this case, since the p-value is less than 0.05, we would reject the null hypothesis at the 5% level of significance, and conclude that there is strong evidence to support the alternative hypothesis.

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Answer: 18

Explanation: 3/4 0f 24 is 18

Answer:

The distributor's actions are unethical. While their actions may be legal in the country they reside in, they are still violating the intellectual property rights of the software manufacturer. Additionally, they are misleading customers by selling the software with a fake label, which could potentially harm the reputation of the software manufacturer. Lastly, the distributor is violating the agreement they have with the software manufacturer, as they are not authorized to create copies of the software or sell it under a fake label.

Explanation:

Answer:

Unethical

Explanation:

The distributor's actions are unethical. While their actions may be legal in the country they reside in, they are still violating the intellectual property rights of the software manufacturer. Additionally, they are misleading customers by selling the software with a fake label, which could potentially harm the reputation of the software manufacturer. Lastly, the distributor is violating the agreement they have with the software manufacturer, as they are not authorized to create copies of the software or sell it under a fake label.

Answer:

The author's main claim or argument is that all food items contributed to a bake sale or potluck dinner should be homemade.

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Answer: Credit card companies do play a role in a market economy by providing consumers with the ability to compete for better deals, save money, and borrow funds for purchases. However, it is important to note that credit card companies charge interest rates on borrowed funds, and excessive borrowing can lead to financial difficulties.

One way that credit cards allow consumers to compete with each other for better deals is through rewards programs. Consumers can earn cash back, points, or other rewards for using their credit cards for purchases. This creates competition among credit card users to find the best deals and maximize their rewards.

Credit cards also allow consumers to save money by offering 0% interest introductory rates for balance transfers or purchases. This can be beneficial for consumers who are trying to pay off debt or make a large purchase without having to pay interest fees. Additionally, credit cards often come with fraud protection and other benefits that can save consumers money in the long run.

In terms of retirement preparation, credit cards can be useful for building credit history, which is important when applying for loans, mortgages, and other financial products. Building a strong credit history can help consumers secure better interest rates and save money on interest fees over time.

However, it is important to use credit cards responsibly and not accumulate excessive debt. Credit cards charge interest rates on borrowed funds, which can lead to financial difficulties if consumers are not able to pay off their balances in full each month. Additionally, borrowing money to purchase items that one cannot afford can lead to financial stress and potential long-term debt problems.

In conclusion, credit card companies do play a role in a market economy by allowing consumers to compete for better deals, save money, and prepare for retirement. However, it is important for consumers to use credit cards responsibly and not accumulate excessive debt.

Explanation: