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
Vesna [10]
3 years ago
9

Find the value of x. Write your answer in simplest form

Mathematics
1 answer:
Naddika [18.5K]3 years ago
6 0

Answer:

The length of the hypotenuse x = x = 16√3

Step-by-step explanation:

Given

Angle Ф = 60°

To Determine

hypotenuse = x

We know the trigonometric ratio can be defined as

cos Ф = adjacent / hypotenuse

here

Ф = 60°

The side adjacent to 60° = 8√3

Hypotenuse = x

so substituting Ф = 60°, adjacent = 8√3, and hypotenuse = x

cos Ф = adjacent / hypotenuse

cos 60° = 8√3 / x

1/2 = 8√3 / x           ∵ cos  60° = 1/2

x = 2 × 8√3

x = 16√3

Therefore, the length of the hypotenuse x = x = 16√3

You might be interested in
Can someone help me with this,'<br><br><br> PLEASE?!?!
Citrus2011 [14]
I think that the number of times you drink all the water in your bottle is independent, because the number of liters you drink depends on how much there is.

Independent- the number of times you drink all the water in your bottle
Dependent- the number of liters you drink
8 0
3 years ago
Algebra 1B:<br>x/13 + 29 = -36​
d1i1m1o1n [39]

Answer:

Solve for x by simplifying both sides of the equation, then isolating the variable.

x=−845

Step-by-step explanation:

3 0
3 years ago
Write a question that represents the following equation. 5 · n = 35. plssss help hurry
snow_lady [41]

Answer:

what is the value of {n}to get product 35?

Step-by-step explanation:

(n is seven by the way!!)

6 0
3 years ago
Read 2 more answers
Help!! Please Im failing on math!!!
Amiraneli [1.4K]
We’re is the question
3 0
2 years ago
Read 2 more answers
Find the missing length the triangles are similar.
ch4aika [34]

Answer:

Step-by-step explanation:

The missing length is 13 because,

Lets say the top triangle is A and the bottom triangle is B.

Triangle A gives us the side GF, and Triangle B gives us the sides TU and ST. Since the triangles are similar(as stated in the problem), we can pair 2 sides GF(A) and TU(B) which is 11:22.(one way I usually figure which sides are similar is by first- matching the hypotenuse, then checking which of the remaining two is longer.. if that made any sense). You can see that their relationship is x2 or /2 (In another word, from A to B is multiplication- ex: 11 * 2 is 22, and from B to A is division- ex 22/2 is 11.) Since the missing number is the hypotenuse of triangle A and you know the Hypotenuse of triangle B all you have to do is divide side TS by 2 to get side SF. So the missing side is 13.

Answer: 13

8 0
3 years ago
Other questions:
  • Thomas hiked 6miles on Monday 10miles on Tuesday and8miles
    9·2 answers
  • Brandon Womble has 12070 oranges. If Brandon Womble eats 1400 and then you divide the remaining oranges between 8 people, how ma
    5·1 answer
  • PLEASE HELP. <br><br> Can someone help me with this question please it’s really urgent
    13·1 answer
  • How do u round 6,299,504 to thw nearest thousand
    15·2 answers
  • Spencer has 1/3 pound of nuts he divides them equally into 4 bags what fraction of a pound of nuts is in each bag
    12·1 answer
  • I will post a picture​
    6·1 answer
  • I need help with this ^
    6·1 answer
  • Answer the question below
    13·2 answers
  • Michael has a points card for a movie theater.
    5·1 answer
  • Y=x^2 is reflected across the x-axis and then scaled vertically by a factor of 1/8
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!