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
Anna [14]
2 years ago
6

Triangle Z W X is shown. Angle Z W X is a right angle. An altitude is drawn from point W to point Y on side Z X to form a right

angle. The length of W X is b, the length of X Y is a, the length of Y Z is 5, and the length of W Y is 6. What is the approximate value of b, rounded to the nearest tenth? 7.2 units 7.8 units 8.6 units 9.4 units
Mathematics
1 answer:
sashaice [31]2 years ago
3 0

Answer:

b = 9.1units

Step-by-step explanation:

Find the diagram attached

Using the similarity theorem of triangle

WX/XZ = WY/WX

Substitute;

b/a+5 = 6/b

b² = 6(a+5) ... 1

Also according to pythagoras theorem on triangle WYX;

b² = 6²+a²...2  

Equate 1 and 2

6(a+5) = 6²+a²

6a+30 = 36 + a²

a²-6a+36-30 = 0

a²-6a+6 = 0

a = 6±√36+4(6)/2

a = 6±√60/2

a = 6±7.745/2

a = 13.745/2

a = 6.8725

Recall that

b² = 6²+a²

b² = 36+6.8725²

b² = 83.2313

b = 9.12units

b = 9.1units

You might be interested in
Each edge of a cube measures 12.1 in.<br><br> What is the surface area of the cube?
REY [17]
878.46 in. is your answer! Hope this helps!
8 0
3 years ago
What is the property for (s + 2) +4​
ycow [4]

Answer:

s+6

Step-by-step explanation:

You just add 2 and 4.

5 0
3 years ago
Read 2 more answers
Write this expression as an equivalent expression without negative exponents: <img src="https://tex.z-dn.net/?f=3%5E%7B-2%7D" id
Arada [10]
The answer is 0.1 and it repeats the 1’s
6 0
3 years ago
Read 2 more answers
Which of the following expressions has a value of 2/5 in the picture below?
Anuta_ua [19.1K]

Step-by-step explanation:

<u>Step 1:  List out all of the formulas for the trigonometric functions </u>

<em>sin(x) </em>= opposite/hypotenuse

<em>cos(x) </em>= adjacent/hypotenuse

<em>tan(x) </em>= opposite/adjacent

<u>Step 2:  Find the following expression that has a value of 2/5 </u>

sin(B) = opposite/hypotenuse = ?/5 is FALSE

cos(B) = adjacent/hypotenuse = 2/5 is TRUE

tan(B) = opposite/adjacent = ?/2 is FALSE

Answer:  The correction expression that has a value of 2/5 is option B

5 0
3 years ago
How do you solve these?​
Vinil7 [7]
For the first one, the answer is -1 1/5

for the second one, the answer is 2.75


for the third one and fourth one,
To divide fractions take the reciprocal (invert the fraction) of the divisor and multiply the dividend. This is the quickest technique for dividing fractions. The top and bottom are being multiplied by the same number and, since that number is the reciprocal of the bottom part, the bottom becomes one
6 0
3 years ago
Other questions:
  • Pleassssssssssssssssssss helppppppppp
    13·1 answer
  • A rectangle is divided into 8 equal parts. Two parts are shaded. Which fraction is equivalent to the shaded area of the rectangl
    12·2 answers
  • Ln(2) + 2 ln(x) + 3 ln(x^2 + 2) simplified using law of logarithms
    5·1 answer
  • Which statements about this prism partially packed with unit cubes are true? Check all that apply.
    9·2 answers
  • F(x)
    7·1 answer
  • If the adult dosage of the medicine is 180 milligrams (mg), what is 1/3 of the adult dose?
    14·2 answers
  • in the 6th grade, 48 students brought a ham and cheese sandwich for lunch. if this number represents 32% of the total of student
    13·1 answer
  • Vicki and Tamra are working on their math homework together. Vicki has worked p problems, and Tamra has worked 4 times as many p
    5·1 answer
  • If the graph of f(x) = |x| is shifted up 5 units, what would be the equation of the new graph?
    6·1 answer
  • Solve for b.<br> -11=<br> -47 - 12h
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!