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
aleksley [76]
3 years ago
8

Use trigonometry to solve the triangle shown. Round all side lengths to one decimal place and

Mathematics
1 answer:
Eddi Din [679]3 years ago
3 0

Answer/Step-by-step explanation:

Recall: SOH CAH TOA

✔️Find <A:

Reference angle (θ) = A

Opposite side = 14 cm

Hypotenuse = 20 cm

Apply SOH:

Sin θ = Opp/Hyp

Substitute

Sin A = 14/20

A = sin^{-1}(\frac{14}{20})

m<A = 44° (nearest whole number)

✔️Find <C:

Reference angle (θ) = C

Adjacent side = 14 cm

Hypotenuse = 20 cm

Apply CAH:

Cos θ = Adj/Hyp

Substitute

Cos C = 14/20

C = cos^{-1}(\frac{14}{20})

m<C = 46° (nearest whole number)

✔️Find AB:

Reference angle (θ) = C = 46°

Opposite side = AB

Hypotenuse = 20 cm

Apply SOH:

Sin θ = Opp/Hyp

Sin 46° = AB/20

20*Sin 46° = AB

AB = 14.4 cm (one decimal place)

You might be interested in
There are two spinners. Each spinner has 10 equal sectors labeled with the numbers 1 through 10.
murzikaleks [220]

Answer:

There are 4 prime numbers from 1 to 10: 2, 3, 5, and 7. This means that there are 4 ways to choose the first outcome. There are 5 composite numbers from 1 to 10: 4, 6, 8, 9, and 10 (1 is just 1). So, you just multiply the two numbers together because each depends on each: 4 * 5 = 20 outcomes.

Step-by-step explanation:

please give me a brainliest answer

8 0
3 years ago
If equation two is multiplied by -2 and then the equations are added, the result is
LUCKY_DIMON [66]

Answer: Yes, this is true but it can be a different answer.

8 0
3 years ago
Use the drop-down menus to identify the key values of the box plot. The median is . The minimum is . The maximum is . The lower
Elenna [48]

Answer:

median-c

minimum-a

maximum-e

Q1-b

Q2-d

6 0
3 years ago
Read 2 more answers
no links PLEASE HELP DUE IN 10 MINUTES you can use a calculator if you want. No links please help this is very important i will
Debora [2.8K]

Answer:

0.334

Step-by-step explanation:

Basically to show reasoning: 16*215= 3340

4 decimal places, so you would move it four decimal places from 3340.

Which equals to: 0.334

Hope this helped! :)

6 0
3 years ago
The volume of a cylinder is 81 pi in^3 and the height of the cylinder is 1 in. What is the radius of the​ cylinder
ladessa [460]

Answer:

18/20π

Step-by-step explanation:

81π ÷ 1 = 81π

81π ÷2 = 18/20π

You do this because the radius is half of the diameter and you need to get rid of the hight by dividing it from the volume.

7 0
2 years ago
Other questions:
  • The expression 9+219+21 factored using the GCF is
    6·1 answer
  • Consider the following function: f(x)= 25-x^2/x^2-4x-5 Which of the following are correct? Check all of the boxes that apply.
    10·2 answers
  • The observation deck is about 20 m above sea level. From the observation deck, the angle of depression of the boat is 6 degrees.
    15·1 answer
  • PLEASE HELP!!!!!!!!!! WILL MARK BRAINLIEST ANSWER.
    14·2 answers
  • When visiting his parents, Tyler drives at an average speed of 42 km/h through urban areas and at an average speed of 105 km/h o
    9·1 answer
  • Simplify the expression 35e^9/5e^8
    7·1 answer
  • If Fred made $350 more than Jamie last month and Jamie made twice as much as Karl while together the three of them made $19,230,
    5·1 answer
  • Johnny has a circular flower bed. Its radius is 4 feet. Johnny wants to build a fence around the flower bed. What is the total l
    12·1 answer
  • Find the missing side length
    14·1 answer
  • Simplify.<br> 8^15 : 8^-3<br> asap please
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!