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
inysia [295]
3 years ago
9

Find the missing lengths: LO=5 and OK=4, find OH and KH.

Mathematics
2 answers:
hodyreva [135]3 years ago
8 0

Answer:

The length of KH is 6 units and OH is 6.3 units.

Step-by-step explanation:

Given the figure with lengths LO=5 and OK=4. we have to find the length of  OH and KH.

In ΔLOH

By Pythagoras theorem

LH^2=LO^2+OH^2\\\\LH^2=5^2+OH^2 → (1)

In ΔKOH,

KH^2=OH^2+OK^2\\\\KH^2=OH^2+4^2  → (2)

In ΔKHL,

KL^2=LH^2+KH^2

Using eq (1) and (2), we get

KL^2=5^2+OH^2+OH^2+4^2

9^2=25+2OH^2+16

⇒ 2OH^2=81-25-16=40

⇒ OH=\sqrt{20}=6.324\sim6.3units.

Put the above value in eq 2, we get

KH^2=20+4^2=36

⇒ KH=6 units.

Naddika [18.5K]3 years ago
4 0

Answer:

KH = 6, OH = \sqrt{20}

Step-by-step explanation:

Just Cause

You might be interested in
The area of a square is calculated by squaring the length of one side of the square. Which graph represents this situation?
Marrrta [24]
Omg I’m so sorry I’m not giving you your answer but I need to comments so I can post my questions hope you get your answer!
4 0
3 years ago
Read 2 more answers
The sides of a parallelogram are 40 and 70 feet long,and the smaller angle has a measure of 36.Find the length of the longer dia
Mumz [18]

Answer:

105 feet.

Step-by-step explanation:

The longer diagonal is opposite the longer angle in the parallelogram.

The longer angle = 180 - 36 = 144 degrees. (Reason: he same side angles  are supplementary).

So, by the law of cosines:

x^ 2 = 40^2 + 70^2 - 2*40*70 cos 140    where x = the diagonal.

x^2 =  11030.50

x = 105.03 feet.

3 0
3 years ago
Help me with this pls
PtichkaEL [24]
Your answer is gonna be 98. multiply all of the numbers
4 0
2 years ago
H e l p m e p l e a s e
Molodets [167]

Answer:

D

Step-by-step explanation:

maybe this will help you .

5 0
2 years ago
Read 2 more answers
X + 2(y-6) = 0
Karo-lina-s [1.5K]
2x - z = 4
6x - 5z = 18
3z - 2w = -18
If u want me to solve them it’s
1. X = -2y + 12
2. x = 10 - 4/3y | for y, y = 15/2 - 3/4x
3. x = 2+ 1/2z | for z , z = -4 + 2x
4. x = 3 + 5/6z | for z , z = - 18/5 + 6/5x
5. W = -3/2x + 13/2 | for x , x = -2/3w + 13/3
6. x = -5w + 13 | w = -1/5x + 13/5
5 0
2 years ago
Other questions:
  • Nolan used the following procedure to find an estimate for StartRoot 18 EndRoot.
    5·2 answers
  • Find the nth term of this quadratic equation 3, 11, 25, 45
    10·1 answer
  • A cupcake shop earns $950 a day. The total amount of earning varies directly with the number of
    6·2 answers
  • Very faint but the number in the root thing is 114 :) help please!!
    5·2 answers
  • What is the coefficients of x² in (2-3x) (x²-5)​
    15·2 answers
  • How do you find the perimeter again?<br> Worth 40 points!
    11·1 answer
  • If f(n) = 4n + 7 and g(n) = 2n + 3, find (g - f)(n).
    6·1 answer
  • Freeeee pointssssss for everyone
    10·2 answers
  • 270 students in an elementary school. There are 5 boys for every 4 girls. How many boys are there in school
    15·1 answer
  • Darren purchased a bicycle for 25% of the original cost at Walmart if the original cost of the bicycle was $200 how much did Dar
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!