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
shutvik [7]
3 years ago
12

The hypotenuse of a right triangle is 95 inches long. One leg is 4 inch(es) longer than the other. Find the lengths of the legs

of the triangle. Round your answers to the nearest tenth of an inch.
Mathematics
2 answers:
diamong [38]3 years ago
6 0

Answer:

65.1 and 69.1

Step-by-step explanation:

a^2+b^2=c^2

c=95

b=a+4

Solve for a^2+(a+4)^2=95^2

a=65.1

b=a+4=69.1

arsen [322]3 years ago
5 0

Answer:

65.1 and 69.1

Step-by-step explanation:

c² = a² + b²

c= 95

a - one leg

b= (a + 4) - second leg

95² = a² + (a + 4)²

9025 = a² + a² + 2*4a + 16

2a² + 8a - 9009 = 0

a= \frac{-b +/-\sqrt{b^2 - 4ac} }{2a} \\\\a = \frac{-8 +/-\sqrt{8^2 - 4*2*9009} }{2*2} \\\\a=65.1 \ and \ a=- 69.1

A leg length can be only positive. a = 65.1

b = 65.1 + 4 = 69.1

You might be interested in
Please help, test review. Need done today
ANTONII [103]
D=number of drinks
p=number of bags of popcorn

75=6d+8p
100.50=12d+10p

multiply first equation by -2 and add to first
-49.50=-6p
divide -6
8.25=p
sub

100.50=12d+10p
100.50=12d+82.50
minus 82.50
18=12d
divide 12
1.50=d

$1.50 per drink

YOU BETTER READ AND LEARN AND NOT JUST USE THIS TO PASS, LEARN

7 0
3 years ago
The variable z is inversely proportional to x. When x is 6, z has the value 0.5. What is the value of z when x= 14?
Lilit [14]
Z is inversely proportional to X is the same as
z is directly proportional to 1/X
which can be written like this:-
y=k/X
________
0.5=k/6
0.5*6=k/6*6
k=3 ;
________
z = 3/14
Z = 0.2
7 0
3 years ago
Mathematics Diagnostic Assessment
stira [4]

Answer:

Step-by-step explanation:

C. Hope this helps!!!

6 0
3 years ago
If the equation is translated left 1 unit and down 5 units , what is the new equation
STatiana [176]
6 I believe I’m not sure
6 0
3 years ago
Wen is factoring the polynomial, which has four terms. 6x3 – 12x2 7x – 14 6x2 (x – 2) 7(x – 2) Which is the completely factored
bonufazy [111]

The factorized form of the polynomial 6x³ – 12x² + 7x – 14 is (6x²+7)(x–2).

<h3>What is a factor?</h3>

A factor of n is a number which when multiplied by another number gives us the number n.

In order to factorize the polynomial 6x³ – 12x² + 7x – 14, we need to take the common terms out of the given polynomial, therefore, the polynomial can be factorized as,

6x^3-12x^2+7x - 14 \\\\

Taking the common term 6x² out from the first two terms, and then 7 from the next two terms, therefore, the polynomial can be written as

6x^3-12x^2+7x - 14 \\\\= 6x^2(x-2)+7(x-2)\\\\=(6x^2 +7)(x-2)

Hence, the factorized form of the polynomial 6x³ – 12x² + 7x – 14 is (6x²+7)(x–2).

Learn more about Factors:

brainly.com/question/6810544

8 0
2 years ago
Read 2 more answers
Other questions:
  • If the distance between (3, k) and (7, 5) is 5, find k.
    8·1 answer
  • Mr Tan is 53 years old and his granddaughter is 5 years old in how many years will he be 4 times as old as his granddaughter
    12·1 answer
  • Which products are equal to 36
    11·2 answers
  • Factor the expression completely. -9x^3+72x^5 −9x 3 +72x 5
    5·1 answer
  • Write a story that can be represented by the equation<br> y=x+<br> 5*.
    6·1 answer
  • What is the slope, Please help ASAP
    9·2 answers
  • A marketing manager for a cell phone company claims that the percentage of children aged - who have cell phones differs from . I
    14·1 answer
  • Which of the following numbers is irrational?
    12·2 answers
  • What is the leading coefficient of this expression? *
    10·1 answer
  • X^2+16x+_=(x+_)^2 what are the missing digits?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!