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
Sati [7]
3 years ago
12

The length of the base of an isosceles triangle is x. The length of a leg is 3x - 6. The perimeter of the triangle is 58. Find x

.
Mathematics
1 answer:
gregori [183]3 years ago
5 0

Answer:

x = 10

Step-by-step explanation:

Perimeter of a triangle = the sum of the three sided of the triangle.

In an isosceles triangle, there are two equal sides and  a base.

Perimeter = ( 3x - 6) + (3x - 6) + x

            58 = 7x - 12

            58 + 12 = 7x

                   70  = 7x

                    \frac{70}{7} = \frac{7x}{7}

                    10 = x

You might be interested in
the total distance of a car moves varies directly with the time in hours.the car moves a total distance of 812 miles in 14 hours
ddd [48]

Answer:

J (22hrs)

Step-by-step explanation:

812 divided by 14= 58

1,276 divided by 58= 22 hrs

3 0
3 years ago
Leo bought jet ski's a couple of years ago. He now wants to sell them. This is an example of Income.
Digiron [165]

Answer:

D. passive

Step-by-step explanation:

8 0
3 years ago
If 1200 cm^2 of material is available to make a box with a square base and an open top find the largest possible volume of the b
strojnjashka [21]
Surface area of box=1200 cm² 
<span>Volume of box=s²h </span>
<span>s = side of square base </span>
<span>h = height of box </span>
<span>S.A. = s² + 4sh </span>
<span>S.A. = surface area or 1200 cm², s²
 = the square base, and 4sh = the four 'walls' of the box. </span>
<span>1200 = s² + 4sh </span>
<span>1200 - s² = 4sh </span>
<span>(1200 - s²)/(4s) = h </span>


<span>v(s) = s²((1200 - s²)/(4s)) </span>
<span>v(s) = s(1200 - s²)/4 . </span>
<span>v(s) = 300s - (1/4)s^3</span>

by derivating
<span>v'(s) = 300 - (3/4)s² </span>
<span>0 = 300 - (3/4)s² </span>
<span>-300 = (-3/4)s² </span>
<span>400 = s² </span>
<span>s = -20 and 20. </span>
again derivating
<span>v"(s) = -(3/2)s </span>
<span>v"(-20) = -(3/2)(-20) </span>
<span>v"(-20) = 30 </span>
<span>v"(20) = -(3/2)(20) </span>
<span>v"(20) = -30 </span>


<span>v(s) = 300s - (1/4)s^3 </span>
<span>v(s) = 300(20) - (1/4)(20)^3 </span>
<span>v(s) = 6000 - (1/4)(8000) </span>
<span>v = 6000 - 2000 
v=4000</span>
4 0
3 years ago
Identify all the points that are on the following quadratic function: y = x2 - 3x
Zinaida [17]
Here is the answer u welcome

3 0
3 years ago
Read 2 more answers
What is the solution set of the inequality x5 + x4 - 6x3 + x2 + x - 6 ≥ 0?
Ainat [17]
The answer is C

because:
6 0
3 years ago
Other questions:
  • Pllllllllzzzzzzz answer this!!!♥️♥️
    11·1 answer
  • PLZ HURRY DIS IS TIMED !!!
    7·1 answer
  • A certain stock exchange designates each stock with a one-, two-, or three-letter code, where each letter is selected from the 2
    6·2 answers
  • What's the answer???? Help
    9·2 answers
  • I need helP on this Pattern Plz
    15·2 answers
  • (2, StartFraction pi Over 3 EndFraction) is graphed on the polar grid below. On a polar coordinate plane, a point is at (2, Star
    7·2 answers
  • You are adding 6¾ + 3 2/3 using fraction strips. Explain how you rename the
    10·2 answers
  • L
    15·2 answers
  • How to solve this 4×5-45÷9
    7·2 answers
  • WILL
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!