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
aliina [53]
3 years ago
5

Help! Find the value of X and simplify completely.

Mathematics
2 answers:
Svetach [21]3 years ago
8 0

Answer:

x = 8√5

Step-by-step explanation:

In the figure attached, there are three right angle triangles.

So, by Pythagoras theorem,

y²+ 4² = z²

y² + 16 = z²------(1)

Similarly x² = 16² + y²--------(2)

and (16 + 4)² = x² + z²

20² = x² + z²-------(3)

Now we put the value of z² from equation 1 to equation 3

20² = x² + y² + 16

x² + y² = 400 - 16

x² + y² = 384

y² = 384 - x²------(4)

Now we put the value of y² from equation 4 to equation 2

x² = 16² + 384 - x²

2x² = 256 + 384

2x² = 640

x² = 320

x = 8√5

Therefore x = 8√5 will be the answer.

Gemiola [76]3 years ago
4 0

Answer:

x = 8√3

Step-by-step explanation:

y /4 = 16/y

y^2 = 64

y = 8

x^2 = 16^2 - 8^2

x^2  = 256 - 64

x^2 = 192

x = √192

x = √(64 * 3)

x = 8√3

You might be interested in
Which of the following values in the set: {3, 57, 6, 8.3, 9, 18} make both
Aleksandr-060686 [28]

Answer:a

Step-by-step explanation:

Sass I’m done with

6 0
3 years ago
Using substitution how do you solve -4x+y=6 -5x-y=21
AnnyKZ [126]
-4x+y=6
y=4x+6
-x=3

y=4(-3)+6
y=-6
therefore, y=-6, x=-3 
5 0
3 years ago
I need help with this problem asap
FinnZ [79.3K]

════════ ∘◦❁◦∘ ════════

<h3>Answer</h3>

a = 36

b = √3/5

════════════════════

<h3>Known </h3>

Adjuscent = 12√3

════════════════════

<h3>Question</h3>

Opposite = ?

Hypotenuse = ?

════════════════════

<h3>Way to do</h3>

• finding a - opposite

#use tan formula

tan(∅) = opposite / adjuscent

tan(60) = opposite / 12√3

opposite = tan(60) × 12√3

opposite = 36

•finding b - hypotenuse

#use cos formula

cos(∅) = adjuscent / hypotenuse

cos(60) = 12√3 / hypotenuse

hypotenuse = 12√3 : cos(60)

hypotenuse = √3/5

════════════════════

3 0
3 years ago
Using the function f(x) = 2x + 7 find the following: (show your work)<br><br> f(2)<br><br><br> f(7)
denpristay [2]
Replace the x with 2: f(2)=2*2+7=4+7=11
replace the x with 7: f(7)=2*7+7=14+7=21
8 0
3 years ago
Read 2 more answers
What is the mean absolute deviation<br> of the following set of data?<br> 10<br> 4<br> 2<br> 4.
fredd [130]

Answer:

80

Step-by-step explanation:

10+4+2+4=20 and 20×4 numbers=80

3 0
3 years ago
Other questions:
  • The equation for line u can be written as y = 1/9x + 9. Line v, which is parallel to line u,
    5·1 answer
  • Express 3/4% as a fraction
    10·1 answer
  • A linear graph contains the points (3, -5 and (7, 11)
    15·2 answers
  • Is this right thank you for helping me
    8·2 answers
  • There are 32 female performers in a dance recital.The ratio of men to women in 3:8 how many men are in the dance recital
    8·1 answer
  • WRITE a direct proportion equation the relates X and Y when Y= 10 and X = 15
    13·2 answers
  • A recipe calls for ​ ​1 /4 ​​ start fraction, 1, divided by, 4, end fraction cup of chocolate chips for each batch of cookies. A
    11·1 answer
  • 7x+2y=57x+2y=5 how do you do it
    5·1 answer
  • 20 students took a math quiz. 40% of the students got an A on the quiz. How many students got an A?
    6·1 answer
  • Make a reasonable estimate for the situation. A snail moves at a speed of 3.395 inches per minute. If the snail keeps moving at
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!