Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

the radio of the sides of triangle is 2:6:72:6:7.if the perimeter of the triangle is 195195 meters what is the length of the longest side

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 2right chevron icon
Find the length of the transverse or conjugate axes of a hyperbolaright chevron icon

Full solution

Q. the radio of the sides of triangle is 2:6:72:6:7.if the perimeter of the triangle is 195195 meters what is the length of the longest side
  1. Denote sides of triangle: Let's denote the sides of the triangle as 2x2x, 6x6x, and 7x7x, where xx is a common multiplier. The perimeter of the triangle is the sum of its sides.\newlinePerimeter = 2x+6x+7x2x + 6x + 7x
  2. Perimeter equation: Given that the perimeter is 195195 meters, we can set up the equation: 2x+6x+7x=1952x + 6x + 7x = 195
  3. Combine like terms: Combine like terms to simplify the equation: 15x=19515x = 195
  4. Solve for x: Divide both sides of the equation by 1515 to solve for x:\newlinex=19515x = \frac{195}{15}\newlinex=13x = 13
  5. Find longest side length: Now that we have the value of xx, we can find the length of the longest side, which is 7x7x:
    Longest side = 7×x7 \times x
    Longest side = 7×137 \times 13
    Longest side = 9191 meters

More problems from Find the length of the transverse or conjugate axes of a hyperbola

Question
Write the equation in standard form for the hyperbola x2−y2=64x^2 - y^2 = 64.\newline______
Get tutor helpright-arrow

Posted 9 months ago

Question
What is the center of the hyperbola 4x2−y2−100=04x^2 - y^2 - 100 = 0?\newline(_,_)(\_,\_)
Get tutor helpright-arrow

Posted 9 months ago

Question
What is the center of the hyperbola (x2144)−(y281)=1(\frac{x^2}{144}) - (\frac{y^2}{81}) = 1?\newline(_____,_____)
Get tutor helpright-arrow

Posted 9 months ago

Question
What is the length of the transverse axis of the hyperbola (x264)−(y236)=1(\frac{x^2}{64}) - (\frac{y^2}{36}) = 1?\newline______
Get tutor helpright-arrow

Posted 9 months ago

Question
Write the equation in standard form for the hyperbola y2−x2=81y^2 - x^2 = 81.\newline______
Get tutor helpright-arrow

Posted 9 months ago

Question
Write the equation in standard form for the hyperbola x2−4y2=100x^2 - 4y^2 = 100.\newline______
Get tutor helpright-arrow

Posted 9 months ago

Question
Write the equation in standard form for the hyperbola 9y2−x2=369y^2 - x^2 = 36.\newline______
Get tutor helpright-arrow

Posted 9 months ago

Question
Write the equation in standard form for the hyperbola 4x2−y2=164x^2 - y^2 = 16.\newline______
Get tutor helpright-arrow

Posted 9 months ago

Question
Write the equation in standard form for the hyperbola y2−9x2=144y^2 - 9x^2 = 144.\newline______
Get tutor helpright-arrow

Posted 9 months ago

Question
The graph of y=f(x+3) y=f(x+3) is shown. For which value of x x , rounded to the nearest whole number, must f(x)=0 f(x)=0 ?
Get tutor helpright-arrow

Posted 1 month ago

View all (4)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant