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
natali 33 [55]
2 years ago
8

Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tent

h.​

Mathematics
1 answer:
nalin [4]2 years ago
4 0

Answer:

The last one (x=11.3, y=8).

Step-by-step explanation:

1) There are three trigonometric ratios for right-angled triangles.

sin()=\frac{opposite}{hypotenuse}\\cos()=\frac{adjacent}{hypotenuse}\\tan()=\frac{opposite}{adjacent}

In a right triangle, the hypotenuse, h, is the side opposite the right angle. Relative to the acute angle θ, check the attachment, the legs are called the opposite side, o, and the adjacent side a.

2) In this case, we are given a length and an angle to find x and y.

Let's find x first. To find x we need to use sin()=\frac{opposite}{hypotenuse}.

sin(45)=\frac{8}{x}\\sin(45)x=8\\x=\frac{8}{sin(45)} \\x=11.31

Find y.

Notice that, we can use the Pythagorean Theorem (c^2=a^2+b^2) to find y.

c^2=a^2+b^2

11.31^2=8^2+b^2\\11.31^2 - 8^2 = b^2\\63.9161 = b^2\\\sqrt{63.9161} = b\\b = 7.99

3) Round them off to the nearest tenth.

x=11.31\\x=11.3

y=7.99\\y=8

Therefore, the correct choice is the last one (x=11.3, y=8).

You might be interested in
Which set of ordered pairs represents a function?
vovangra [49]
B. is the answer I believe since most are not functions
4 0
3 years ago
Read 2 more answers
QUICK! Giving brainliest to correct answer
garri49 [273]

Answer:

Dominos is the better deal.

4 0
3 years ago
Read 2 more answers
If tan x =1/2<br> find sin x<br> 2
irina1246 [14]

Answer:

t

=

26

∘

57

+

k

360

∘

Step-by-step explanation:

tan

t

=

1

2

Calculator and unit circle give 2 solutions for (0, 360) -->

t

=

26

∘

57

, and

t

=

180

+

26.57

=

206

∘

57

General answer:

t

=

26

∘

57

+

k

360

∘

6 0
3 years ago
2. Find the mean, median, mode and range of the following numbers.
vekshin1

Answer:

mean-175.5

median-18

mode-18

range-11

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Share
Anika [276]

Answer:

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • 10/15 divided by two
    13·2 answers
  • A standard bathtub holds 70 gallons of water. On average, it takes 7 and 1/2 minutes to drain a bathtub. How many gallons of wat
    15·1 answer
  • The slope of the line below is -3. Is the coordinates of the labeled point to find a point - slope equation of the line
    15·1 answer
  • Things that have an equal chance of happening are known as
    14·1 answer
  • Adam’s house is 2 centimeters from Juan’s house on a map. If each centimeter on the map represents 6 kilometers, how far apart a
    6·2 answers
  • Manuel invested $10,000 in a savings account with a 3% interest rate that gets compounded daily. Write a model for Manuel to tra
    13·1 answer
  • A wholesale distributor of packaged nuts sells two different mixes of peanuts and cashews, mix A and mix B. Each package of mix
    9·1 answer
  • Determine the period of this Function.
    12·1 answer
  • In 5 - 7 complete sentences, answer all of the following question. •Use this image to respond to the following prompt: •Is the s
    5·1 answer
  • What is center: (-4,-12) Radius: 4 ?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!