1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
igomit [66]
3 years ago
14

Find the length of the segment indicated.

Mathematics
2 answers:
artcher [175]3 years ago
5 0

Answer:  The length of the indicated segment is 14.45 units.

Step-by-step explanation:  We are given to find the length of the indicated segment.

From the figure, we note that

A chord is bisected by the radius of the circle that makes a right-angled triangle with hypotenuse measuring 16.1 units and the other two sides measures x units and 7.1 units.

Using Pythagoras theorem, we get

x^2+7.1^2=16.1^2\\\\\Rightarrow x^2+50.41=259.21\\\\\Rightarrow x^2=259.21-50.41\\\\\Rightarrow x^2=208.8\\\\\Rightarrow x=\pm\sqrt{208.8}\\\\\Rightarrow x=\pm14.45.

Since x is the length of side of a triangle, so we get

x = 14.45.

Thus, the length of the indicated segment is 14.45 units.

laiz [17]3 years ago
3 0

The red square means the triangle is a right triangle so you can solve for x using the Pythagorean theorem.

x = √(16.1^2 - 7.1^2)

x = √(259.21 - 50.41)

x = √208.8

x = 14.4499

Rounded to the nearest tenth x = 14.4

You might be interested in
Urgent!! Will mark brainliest!!
anastassius [24]

Answer:

1) tanФ = 0.8392 ⇒ 2nd answer

2) cosФ = 20/29 ⇒ 3rd answer

3) cosФ = -√2/2 , cotФ = -1 ⇒ first answer

Step-by-step explanation:

* At first check the quadrant of the angle

∵ 180° < Ф < 270°

∴ Ф lies on the third quadrant

* Remember in the 3rd quadrant tanФ and cotФ only positive

∵ sinФ ≅ -0.7660

∵ tan²Ф = sec²Ф - 1

∵ secФ = 1/sinФ

∵ secФ = 1/-0.7660

∴ sec²Ф = (1/-0.7660)²

* Substitute this value in the equation

∴ tan²Ф = (1/-0.7660)² - 1 = 0.70428594 ⇒ take √ for both sides

∴ tanФ ≅ ± 0.8392

∵ Ф lies on the 3rd quadrant

∴ tanФ = 0.8392

* At first check the quadrant of the angle

∵ 0° < Ф < 90°

∴ Ф lies on the first quadrant

* Remember in the 1st quadrant all are positive

∵ sinФ = 21/29

∵ sin²Ф + cos²Ф = 1

∴ (21/29)² + cos²Ф = 1 ⇒ subtract (21/29)² from both sides

∴ cos²Ф = 1 - (21/29)² = 400/841 ⇒ take √ in both sides

∴ cosФ = ± 20/29

* Because Ф lies in the 1st quadrant

∴ cosФ = 20/29

* Remember that when the point is at the terminal side of angle Ф

∴ Its x-coordinate is cosФ

∴ Its y-coordinate is sinФ

* The point is (-√2/2 , √2/2)

∵ x-coordinate is negative ad y-coordinate is positive

∴ the point is on the 2nd quadrant

∴ 90° < Ф < 180°

∴ The values of sinФ and cscФ only positive

* From previous we know that:

∴ cosФ = -√2/2

∴ sinФ = √2/2

∵ cotФ = cosФ/sinФ

∴ cotФ = -√2/2 ÷ √2/2 = -√2/2 × 2/√2 = -√2/√2 = -1

* cosФ = -√2/2 , cotФ = -1

3 0
3 years ago
clara is playing a game where you score -8 points each time you guess the correct answer. the goal is to get the lowest score. t
Lina20 [59]

Answer:

272

Step-by-step explanation:

-8--280=272

7 0
3 years ago
Determine for each number whether it is a rational number or irrational number
erastova [34]
Picture is too blurry man.
5 0
3 years ago
Read 2 more answers
What is P(A or B)...?
melamori03 [73]

the answer is A.) 3/10

3 0
3 years ago
Read 2 more answers
There are 5 red marbles and 12 silver marbles in a bag. You randomly choose one of the marbles. What is the probability of choos
AleksandrR [38]
So we know there are 5 red and 12 silver marbles, together making 16 marbles.

This would mean that there is a 5/17 chance of choosing a red marble.

When you do the math to convert 5/17 into a decimal, it turns into being a .29 chance.

Convert .29 into a decimal, and you know that you have a 29% chance of grabbing a red marble.

Hope this helped!

- Kathryn Irene
6 0
3 years ago
Other questions:
  • What are the correct answers ??
    11·2 answers
  • Tacoma's population in 2000 was about 200 thousand, and has been growing by about 8% each year. If this continues, what will Tac
    14·1 answer
  • 5 power x + 5 power x-1 = 750
    10·1 answer
  • To which subsets of real numbers does the number -22 belong? Choose all subsets that apply. theres only 2 btw
    11·2 answers
  • Sam is staining the wooden floor of a court. The court is in the shape of a rectangle. Its length is 33 feet and its width is 32
    7·2 answers
  • Determine if Ordered pairs are Solutions:<br> -8x - 14y = 28<br> 2x - 7y = 14
    9·1 answer
  • Find the value of 2abcosC.
    9·2 answers
  • Negative one fourth plus three fourths
    6·2 answers
  • Halla el producto en las siguientes multiplicaciones:<br><br> 1) 3 x 9/15 =
    6·1 answer
  • Linear relationships are important to understand because they are common in the world around you. For example, all rates and rat
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!