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
4p + 1 = 10 what is the value of p?
fredd [130]

Answer:

p = 9/4 or 2.25

Step-by-step explanation:

4p + 1 = 10

      -1     -1

4p = 9

Divide 4 on both sides

p = 9/4 or 2.25

5 0
4 years ago
Read 2 more answers
Let f be the function given by f(x) = x+4(x−1)(x+3) on the closed interval [−5,5]. On which closed interval is the function f gu
Vlad [161]

Answer:

Step-by-step explanation:

f(x)=x+4(x^2+2x-3)=4x^2+9x-12

f'(x)=8x+9

f'(x)=0,gives x=-9/8

f(-5)=-5+4(-5-1)(-5+3)=-5+4*-6*-2=43

f(-9/8)=-9/8+4(-9/8-1)(-9/8+3)

=-9/8+4*-17/8*15/8

=-9/8-255/16

=-273/16=-17 1/16

f(5)=4*5^2+9*5-12=100+45-12=133

absolute maximum=133

absolute minimum=-17 1/16

6 0
3 years ago
If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar. true or false
Delicious77 [7]
If the two angles of the triangle are equal. Well yes, because if the angles are both 50 degrees then the other angle will be 30. but it also depends on the shape of the triangle if they differ.
5 0
4 years ago
Read 2 more answers
As x → − ∞ , f ( x ) = − 3 . As x → ∞ , f ( x ) = − 3
Ludmilka [50]

Answer:

hi

Step-by-step explanation:

4 0
2 years ago
Bradley cut a square hole out of a block of wood in wood shop. If the block was cube-shaped with side lengths of 9 inches, and t
MatroZZZ [7]
To solve this problem, you must follow the proccedure below:

 1. T<span>he block was cube-shaped with side lengths of 9 inches and to calculate its volume (V1), you must apply the following formula:

 V1=s</span>³
<span>
 s is the side of the cube (s=9)

 2. Therefore, you have:

 V1=s</span>³
 V1=(9 inches)³
 V1=729 inches³
<span>
 3. The lengths of the sides of the hole is 3 inches. Therefore, you must calculate its volume (V2) by applying the formula for calculate the volume of a rectangular prism:

 V2=LxWxH

 L is the length (L=3 inches).
 W is the width (W=3 inches).
 H is the heigth (H=9 inches).

 4. Therefore, you have:

 V2=(3 inches)(3 inches)(9 inches)
 V2=81 inches
</span><span>
 5. The amount of wood that was left after the hole was cut out, is:
</span>
 Vt=V1-V2
 Vt=648 inches³
7 0
3 years ago
Other questions:
  • What equation models the data in the table if d = number of days and c = cost?
    15·1 answer
  • Mallory has 535 E-Mail messages in her Inbox. She sorts them evenly among folders labeled Family, Friends, Work, School, and Rec
    12·1 answer
  • if n represents a number, write an expression for the quantity three less than twice this number divided by the quantity 7 more
    13·1 answer
  • Describe an event that involves dice and has a theoretical probability of 5\6.
    6·1 answer
  • The set of all x values that make up the function is called the
    5·1 answer
  • Select the option for "?" that continues the pattern in each question.
    10·1 answer
  • 45% of 81.2 is a number between.....
    12·1 answer
  • Im stuck in this exercise ​
    8·2 answers
  • Which of the following is an example of the atmosphere inracting with the biosphere
    9·1 answer
  • Can someone please help me
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!