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.

Answers

Answer 1

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.


Related Questions

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!

Answers

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.

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

Answers

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 (!=).

Learn more about inequalities  at:

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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.

Answers

The length of side PQ is approximately 29 cm, rounded to the nearest centimeter.

How to calculate the value

In 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

Learn more about triangle on

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