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
SSSSS [86.1K]
3 years ago
12

The perimeter of a triangle is 41 inches. The three sides of the triangle are all differnt lenghts. The longest side is 10 less

than twice the middle side length. The middle side length is three less then three times the shortest side length. How long is aceh side of the triangle
Mathematics
1 answer:
erma4kov [3.2K]3 years ago
4 0

Answer:

Longest\ side=20\ inches\\\\Middle\ side=15\ inches\\\\Shortest\ side=6\ inches

Step-by-step explanation:

Let be "x" the lenght of the longest side, "y" the lenght of the middle side and "z" the lenght of the shortest side.

The perimeter is:

41=x+y+z       [Equation 1]

We know that the longest side is 10 less than twice the middle side length. This can be expressed as:

x=2y-10          [Equation 2]

And the middle side length is three less than three times the shortest side length. This is:

y=3z-3         [Equation 3]

The steps are:

- Solve for "z" from the third equation:

y=3z-3\\\\y+3=3z

z=\frac{y+3}{3}    [Equation 4]

- Substitute [Equation 4] into [Equation 1]

- Substitute [Equation 2] into [Equation 1]

Then:

41=(2y-10)+y+(\frac{y+3}{3})

- Solve for "y":

41=2y-10+y+\frac{y+3}{3}\\\\41=2y-10+y+\frac{y}{3}+1\\\\41=\frac{10}{3}y-9\\\\41+9=\frac{10}{3}y\\\\\frac{50*3}{10}=y\\\\y=\frac{150}{10}\\\\y=15

- Substitute this value into [Equation 2] and into [Equation 4]:

x=2(15)-10\\\\x=20

z=\frac{(15)+3}{3}\\\\z=6

You might be interested in
Consider the sequence 3, 6, 12, 24, 48, .... (a) Write a recursive rule to represent the sequence. (b) Write an explicit rule to
saveliy_v [14]

Answer:

  a. a[1] = 3; a[n] = 2a[n-1]

  b. a[n] = 3·2^(n-1)

  c. a[15] = 49,152

Step-by-step explanation:

Each term of the given sequence is 2 times the previous term. (This description is the basis of the recursive formula.) That is, the terms of the given sequence have a common ratio of 2. This means the sequence is geometric, so the formulas for explicit and recursive rules for a geometric sequence apply.

The first term is 3, and the common ratio is 2.

<h3>(a)</h3>

The recursive rule is ...

  a[1] = 3

  a[n] = 2×a[n-1]

__

<h3>(b)</h3>

The explicit rule is ...

  a[n] = a[1]×r^(n-1)

  a[n] = 3×2^(n-1)

__

<h3>(c)</h3>

The 15th term is ...

  a[15] = 3×2^(15-1) = 3×2^14

  a[15] = 49,152

5 0
2 years ago
PLZ PLZ PLZ SOMEONE HELP ME!!!
sergiy2304 [10]
Step 4 is wrong. the answer is 1/8, she changed sign on 2^(-3) to 2^(3) without moving it to numerator
8 0
3 years ago
A.359.5<br> B.2,178<br> C.18.0
marshall27 [118]

Answer:

C, or 18.0

Step-by-step explanation:

The SAS theorem provides that the area is 17.97, which rounds up to 18.0, giving you C as the answer. The other two are far too high for the given values.

5 0
3 years ago
The base length of a triangle is 8 feet and the height is 4 feet. What is the area of the triangle?
Marina86 [1]

Answer:

16

Step-by-step explanation:

8 × 4 = 32

32 × 1/2 = 16

Hope this helps <3

6 0
3 years ago
What is perimeter of 4 inch square
Kobotan [32]
4*4 is you answer just times 4*4

4 0
3 years ago
Read 2 more answers
Other questions:
  • Two production lines are used to pack sugar into 5 kg bags. Line 1 produces twice as many bags as does line 2. One percent of ba
    7·2 answers
  • Solve:
    5·1 answer
  • Which of the following is a solution to the equation − 2/5 x = 10? a. x = -4 b. x = -25 c. x = 4 d. x = 25 plz help im stuck
    14·2 answers
  • the tallest tree in the forest is 150 feet from the water tower. unfortunatly in a lightning storm the tallest tree was struck a
    14·1 answer
  • A train is traveling at a constant speed and goes a distance of 7 1/2 kilometers in 6 minutes the train will continue at this sp
    14·1 answer
  • 7207689984 !!!!!!!!!!!!!!
    8·1 answer
  • Susan received a gift of $1,000 today and decided to invest it in an account that earns 89 with quarterly compoundry About
    6·1 answer
  • Find the values of x and y.
    8·1 answer
  • Solve for x round to one decimal place
    6·2 answers
  • Anton will be constructing a segment bisector with a compass and straightedge, while Maxim will be constructing an angle bisecto
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!