Based on the information, the measure of ∠P is approximately 76.4 degrees.
How to solve the triangleApplying the Law of Cosines to ∠P, we have:
p² = o² + q² - 2oq * cos(∠P)
Substituting the given values:
89² = 30² + 95² - 2 * 30 * 95 * cos(∠P)
7921 = 900 + 9025 - 5700 * cos(∠P)
Now, let's simplify the equation:
7921 = 9025 - 4800 * cos(∠P)
Rearranging the terms:
4800 * cos(∠P) = 9025 - 7921
4800 * cos(∠P) = 1104
cos(∠P) = 1104 / 4800
cos(∠P) = 0.23
Now, we need to find the inverse cosine (arccos) of 0.23 to determine the measure of ∠P.
∠P = arccos(0.23)
∠P ≈ 76.4 degrees
Therefore, the measure of ∠P is approximately 76.4 degrees.
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Which of the following consists of the y-coordinates
of all the points that satisfy the system of inequalities
above?
A) y> 6
B) y> 4
C) y> 2/12.
D) y>
y> 2x-1
2x>5
3
2
4
y
Based on the given information on the inequalities, the correct answer would be -
A) y > 6
How is this so?This is because the system of inequalities does not provide specific conditions or constraints on the y-coordinates, except for y being greater than 6.
Therefore, any value of y greater than 6 would satisfy the system of inequalities.
Inequalities are mathematical statements that express a relationship between two values or expressions usinginequality symbols, such as greater than (>), less than (<), or not equal to (!=).
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In ΔPQR, r = 38 cm, m∠P=49° and m∠Q=127°. Find the length of p, to the nearest centimeter.
The length of side PQ is approximately 29 cm, rounded to the nearest centimeter.
How to calculate the valueIn triangle PQR, we are given:
r = 38 cm (the length of side QR)
m∠P = 49° (angle P)
m∠Q = 127° (angle Q)
Let's find the length of side PQ:
sin(49°) / PQ = sin(127°) / 38 cm
Using the given information, we can substitute the values:
sin(49°) / PQ = sin(127°) / 38
To find PQ, we can cross-multiply and solve for it:
PQ = (sin(49°) * 38) / sin(127°)
Calculating this value:
PQ ≈ (0.7557 * 38) / 0.9996
PQ ≈ 28.6796 / 0.9996
PQ ≈ 28.693 cm
= 29 cm
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L 8.1.2 Exam: Semester Exam
Which statement best summarizes the following portion of the Declaration of
Independence?
We hold these truths to be self-evident, that all men are
created equal, that they are endowed by their Creator with
certain unalienable Rights, that among these are Life,
Liberty and the pursuit of Happiness.. That to secure
these rights, Governments are instituted among Men,
deriving their just powers from the consent of the
governed, That whenever any Form of Government
becomes destructive of these ends, it is the Right of the
People to alter or to abolish it, and to institute new
Government, laying its foundation on such principles and
organizing its powers in such form, as to them shall seem
most likely to effect their Safety and Happiness.
-
O A. Governments tend to interfere with people's rights.
B. All human beings are equal and should have an equal share of the
land.
ty
O
C. People have certain rights and it is the role of government to
protect those rights.
The statement that best summarizes the following portion of the Declaration of Independence is "People have certain rights and it is the role of government to protect those rights." (Option C)
How is this so?The statement emphasizes that all individuals are inherently equal and possess unalienablerights such as life, liberty, and the pursuit of happiness.
It asserts that governments are established to safeguard these rights and derive their power from the consent of the governed.
If a government fails to upholdthese principles, the people have the right to change or replace it with a new government that prioritizes their safety and well-being.
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In ΔUVW, u = 1.7 inches, v = 6.5 inches and ∠W=90°. Find the length of w, to the nearest 10th of an inch.
Answer: To find the length of side W (w) in the given triangle, we can use the Pythagorean theorem since we know that ∠W is a right angle.
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
So, we have:
w^2 = u^2 + v^2
Substituting the given values:
w^2 = (1.7 inches)^2 + (6.5 inches)^2
w^2 = 2.89 + 42.25
w^2 = 45.14
Taking the square root of both sides to isolate w:
w = √45.14
Calculating this square root, we find:
w ≈ 6.71 inches
Therefore, the length of side W (w) in the triangle ΔUVW is approximately 6.71 inches, rounded to the nearest tenth of an inch.
What is the best way to study for a test when you're a horrible test taker? I keep going over questions and the practice test and pass. I took the test and failed by two points. Any suggestions would be great!
Thank you!
Answer: Wsp King or Queen,
Honestly try Tutoring, or go old school and use Quizlet and make some flashcards. I'm the same way bro . But that's what helped me, hope it helps you.
Explanation:
Answer:
The best way would be to do tutoring such as timing yourself doing test or do tutoring that will force you to do question and help you be more prepared for a test.
