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
Ainat [17]
3 years ago
5

How to do the problem

Mathematics
1 answer:
ruslelena [56]3 years ago
5 0

Answer:

1.) x = 14.96ft

2.) The shorter leg is 6 meters

Step-by-step explanation:

1.) a^2 + b^2 = c^2

  • a and b = legs of the triangle
  • c = hypotenuse the longest side

15ft^2 + x^2 = (2x +1)^2

  • 225 + x^2 = (2x^2 + 1^2)
  • 225 = 2x^2 + 1 - x^2
  • 225 = x^2 + 1
  • 225 - 1 = x^2 +1 - 1
  • √224 = √x^2
  • x = 14.9662...

2.) Longer leg a = x+2,  shorter leg b = x, Hyp. c= 2x-2

Equation:

  • (x+2)^2 + x^2 = (2x-2)^2

Solve:

  • (x+2)(x+2) + x^2 = (2x-2)(2x-2)
  • x^2 + 4x + 4 + x^2 = 4x^2 - 8x +4
  • 2x^2 + 4x + 4 = 4x^2 - 8x +4
  • 2x^2 + 4x + 4 - 4x^2 +8x - 4 = 4x^2 - 4x^2 - 8x + 8x + 4 - 4
  • -2x^2 + 12x = 0
  • 2x (-x + 6) = 0

Answers:

  • 2x = 0
  • -x + 6 = 0
  • <u>x=0 -or- x=6</u>

<u>Since x cannot equal 0 due to the known length of the triangle needs to be more than 0 the answer for x equals 0.</u>

<u>B=6</u>

Check:

  • A = x + 2: A= 6 +2 = 8
  • B= 6
  • C = 2x -2: C= 2(6) -2 = 10

8^2 + 6^2 = 10^2

  • 64 + 36 = 100
  • 100= 100
You might be interested in
What is the answer for ( c )
Whitepunk [10]

Answer: 37

Step-by-step explanation:

7 0
2 years ago
A relation is a function if _____.
valentina_108 [34]
... <span>exactly one output for each input

This is an important concept; be certain that you understand it.

</span>
8 0
3 years ago
I need help on 24 please
charle [14.2K]
F. 24, this is because if you split the bigger square in half you’ll get 6 and perimeter is the addition of all sides. So 6+6+6+6=24
4 0
3 years ago
Write down the exact value of 3-2
Anvisha [2.4K]
1 it’s easy cocoa donut oml OOOF duck
5 0
3 years ago
PLEASE HELP INEQUALITYS!!
kolezko [41]
Same i am sorry need point
5 0
3 years ago
Other questions:
  • trying to find the measure of the numbered angle? can someone please help me with these!:) thank you!!!!
    7·2 answers
  • Mary and Alice are playing a card game. Mary has 21 points. She has 9 points less than Alice.How many points, p, does Alice have
    8·2 answers
  • If a2=8, what are the first three terms of the sequence defined by the recursive formula below? an=3an-1+2
    9·2 answers
  • What process do you use to find the percent change of quantity
    14·1 answer
  • Alyssa is selling bags of peanuts to raise money for a fundraiser. So far, she has sold 36 bags of peanuts. This is 45% of her g
    10·1 answer
  • Estimate 45,580-12,363 to the nearest thousands
    12·1 answer
  • Combine the like terms to create an equivalent expression.<br> 4n+6+n-2
    5·2 answers
  • Evaulate 3 x ( 6 - 3)^3
    15·2 answers
  • Emerson swims 1/2 a miles every 1/4 of an hour. How far can she swim in one hour?
    14·2 answers
  • Complete the proof that ∠PST≅∠QRT.<br> S<br> P<br> Q<br> R<br> T
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!