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
ollegr [7]
2 years ago
6

given a triangle with a perimeter of 56in. we know the first side is 3 inches less than twice the length of the second side, and

the third side is 10 inches more than half the length of the second side. if the second side length is h, how long is the longest side? write an equation to solve for the variable.
Mathematics
1 answer:
erica [24]2 years ago
6 0

Answer:

Side A = 25 in

Side B = 14 in

Side C = 17 in

Step-by-step explanation:

Perimeter of a triangle = 56 in

Side B = x

Side A = 2x - 3

Side C = 1/2x + 10

Perimeter of a triangle = side A + Side B + side C

56 = (2x -3) + x + (1/2x + 10)

56 = 2x - 3 + x + 1/2x + 10

56 + 3 - 10 = 2x + x + 1/2x

49 = 3 1/2x

Note: 3 1/2x = 3.5x

49 = 3.5x

x = 49/3.5

x = 14 in

Side B = x = 14 in

Side A = 2x - 3

= 2(14) - 3

= 28 - 3

= 25 in

Side C = 1/2x + 10

= 1/2(14) + 10

= 7 + 10

= 17 in

You might be interested in
What is the Inverse operation needed to solve for p?<br> 765 = p - 254
KATRIN_1 [288]

Answer:

addition of 254 to both side

4 0
3 years ago
Read 2 more answers
Given the geometric sequence where a1=1 and the common ratio is 6, what is the domain for n?​
kari74 [83]

We have been given that a geometric sequence's 1st term is equal to 1 and the common ratio is 6. We are asked to find the domain for n.

We know that a geometric sequence is in form a_n=a_1(r)^{n-1}, where,

a_n = nth term of sequence,

a_1 = 1st term of sequence,

r = Common ratio,

n = Number of terms in a sequence.

Upon substituting our given values in geometric sequence formula, we will get:

a_n=1\cdot (7)^{n-1}

Our sequence is defined for all integers such that n is greater than or equal to 1.

Therefore, domain for n is all integers, where n\geq 1.

4 0
3 years ago
16^3x+8^x+6<br><br>Could you please give me the steps as well for this problem? ​
BARSIC [14]

Answer:

x = 2

Step-by-step explanation:

16^{3x} = 8^{x+6} \\2^{4(3x)} = 2^{3(x+6)} --> (16 = 2^{4} and 8 = 2^{3} )

2^{12x} = 2^{3x+18}

Since the base number is 2, the exponents must equal each other.

So:

12x = 3x+18

9x = 18

x = 2

8 0
3 years ago
Question 3. Solve each equation given<br>below.<br>5 x - 4=31​
harkovskaia [24]

Answer:

x = 7

Step-by-step explanation:

5x-4 = 31

5x = 31+4

5x = 35

x = 7

3 0
2 years ago
Help me on the last two
Elanso [62]
6.5 is suppose to be on the inside of the radical sign.
7 0
3 years ago
Other questions:
  • Ax^2+ay^2–bx^2–by^2+b-a
    10·2 answers
  • Simplify the expression. Use standard polynomial format.<br> x(2x + 3) + (x - 3)(x - 4)
    11·1 answer
  • In Mr.Martinez's sixth period class, there are 8 boys and 12 girls. what is the probability of randomly selecting a girl?
    10·1 answer
  • Jenya answered 24 out of 30 questions correctly on her math test and 21 out of 25 questions
    12·1 answer
  • 7c=42<br> A.factor <br> B.product<br> C.sum<br> D.difference
    12·1 answer
  • How can I convert measurements of weight
    5·2 answers
  • Lines c and d are parallel lines cut by transversal p.
    9·1 answer
  • Please helpppppppppp i will mark brainlist
    13·2 answers
  • Place the following numbers in order from least to greatest
    6·1 answer
  • Frances walks 15 km west, then turns 90 degrees north and walks 30 km.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!