Calc 2

Compute the total area of the (infinitely many) triangles in the Figure

In the image, the height of all the triangles is 6/7. The x-values for the bases of the triangles from left to right are as follows: 27/64 , 9/16 , 3/4 , 1

Using the formula for the area of a triangle (A = (1/2)BH) as well as the fact that all the triangles have the same height of 6/7, I know that the area is equal to (3/7)B. I'm not quite sure where to go from there when it comes to solving this, however.

  1. 👍
  2. 👎
  3. 👁
  1. the bases form a geometric sequence with
    a = 27/64
    r = 4/3
    Since r>1, the infinite sum diverges.
    Care to rephrase the question?

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Mathematics

    Which shapes could this pentagon be decomposed into to find its area? Choose all that Apply. A) Three Triangles * B) Two Trapezoids C) Five Triangles ** D) One triangle and One Trapezoid *** (My answers are A,C and D).

  2. hi calculus asap

    the graph of a piecewise linear function f, for -1

  3. math

    A triangle is rotated 35 degrees about the origin. What is true about the relationship between the image and the pre-image? A) The lengths of the sides and the measures of angles are preserved, so the triangles are congruent.

  4. pre-algebra

    Figure B is the image of Figure A. Which description explains how Figure A was transformed to create figure B. A. Figure A was Reflected across a horizontal line of reflection to create Figure B. B. Figure A was rotated 180 °

  1. MATH

    Use the figure to answer the following questions. figure for questions 1–3 1. Name a pair of complementary angles. (1 point) angle sign1 and angle sign4 angle sign1 and angle sign2 angle sign3 and angle sign4 angle sign1 and

  2. Geometry

    4. Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number. The figure is not drawn to scale. The bases are right triangles. top(8.94m) side(41m) bottom left

  3. Calculus

    Consider the area between the graphs x+2y=4 and x+4=y2. This area can be computed in two different ways using integrals 1) Compute as a sum of two integrals 2) Compute as a single integral 3) Either way, what is the area? __ So

  4. math

    Thirty identical toothpicks were used to create the figure below. There are over 25 triangles in the figure. What is the fewest number of toothpicks that could be removed so that no triangles remain? The image is an equilateral

  1. math

    The figure shows 2 similar squares, A and B which overlap each other. The ratio of the shaded area to the total area of square B is 3:5. The ratio of the shaded area to the total area of square A is 9:17. What is the ratio of the

  2. Linear Algebra

    I need help please!! How many solutions does the system of equations have? 2x=-10y+6 and x+5y=3 a. one b. two c. infinitely many d. none y=4x+3 and y=4x+4 a. one b. two c. infinitely many d. none x-4y=12 and y=1/4x-3 a. one b. two

  3. Math

    The equilateral triangle with 4 cm side is decreasing infinitely by 1/2. Determine the area of the triangles.

  4. Math

    Find the area of a regular pentagon if its apothem is approximately 4 ft long and each of its sides are 5.8 ft long. So I tried dividing the pentagon into triangles...but then I came up with the answer 24.41? I know that's not

You can view more similar questions or ask a new question.