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
weqwewe [10]
3 years ago
15

Suppose you have a right triangle area marked in the ground with a base (8-h) meters long and a height h meters long. the hypote

nuse is 6 meters long.
part a: what is the length of the height of the right triangle
Mathematics
1 answer:
Aleks [24]3 years ago
7 0

Answer:

5.415m and 2.585m long

Step-by-step explanation:

For a right triangle

hyp^2 = opp^2 + adj^2 (Pythagoras theorem)

Given

hypotenuse = 6m

height(opposite) = h meters

Adjacent = (8-h)m

Substitute into the expression above;

6² = h²+(8-h)²

36 = h²+64-16h+h²

36 = 2h²-16h+64

2h²-16h+64-36 = 0

2h²-16h+28= 0

Divide through by 2

h²-8h+14 = 0

Using the general formula

h = 8±√8²-4(14)/2

h = 8±√64-56/2

h = 8±√8/2

h = 8±2.83/2

h = 8+2.83/2 and 8-2.83/2

h = 10.83/2 and 5.17/2

h = 5.415 and 2.585

hence the length of the height of the right triangle are 5.415m and 2.585m long

You might be interested in
Simplify: 8bc-9bc+10bc-6bc
jarptica [38.1K]

3bc is the answer to your problem

6 0
3 years ago
Read 2 more answers
Simplify 2(5+3x) + (x+10)
xz_007 [3.2K]

Answer:

7x + 20

I hope I helped :D

Step-by-step explanation:

8 0
3 years ago
Help me please,Thanks
Naily [24]
0.5, you would divide 0.375 to cancel out the height and then divide 0.75 (the new volume after you divided 0.375 by the height) by 1.5 to cancel out the x
7 0
3 years ago
89,678 round to the nearest hundred thousand
Elodia [21]
100,000 would be the answer

6 0
3 years ago
Kelly reads x hours a week. Tim reads two times more than Kelly and Jim reads five hours more than Tim. Which expression relates
In-s [12.5K]

Answer:

C. 2x + 5

Step-by-step explanation:

Kelly: x

Tim: 2 × x = 2x

Jim: 2x + 5

hope it helps :)

4 0
3 years ago
Other questions:
  • Myles's school is selling tickets to an end of the year
    15·1 answer
  • Which is greater 0.7 or 7/9
    5·2 answers
  • A function with an input of 4 has an output of 10. Which of the following could not be the function equation?
    14·1 answer
  • A manufacturer knows that their items have a normally distributed length, with a mean of 10 inches, and standard deviation of 1.
    12·1 answer
  • Select all of the following statements that are true.
    7·1 answer
  • Compute 292,000 divide 100.
    11·1 answer
  • X+ =4+2y=5 solve this​
    14·2 answers
  • Explain what one it is and why pls and thank you
    6·2 answers
  • Expand and simplify the following<br> 1<br> 2(4x - 3) + 5x + 4
    14·1 answer
  • Rajesh and Gudi share some money in the ratio 2 : 5. Rajesh receives £240. Work out the amount of money that Gudi receives.​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!