ALGEBRA 1 HELP

Your hole punch makes holes in your that have diameter of 4^-1 inch.

a.Write an expression for the area of one punched hole. Use the formula for the area
of a circle A=:r^2.
(: is pi sign)

b.Your hole punch makes three holes in a page . Write an expression for the total
area punched out of one sheet of paper.

  1. 👍 0
  2. 👎 0
  3. 👁 264
  1. a). 4^(-1) is the same as 1/4. Since this is the diameter, you divided it by the 2 to get the radius. So the radius is 1/8. Now the expression is:
    A= pi*(1/8)^2 or A=(1/64)*pi
    b). In part a, the expression is for the area of one punched hole. Since you have three punched holes now, you multiply the expression in part A by 3. So now the expression is: A=3pi*(1/8)^2 or A=(3/64)*pi

    1. 👍 0
    2. 👎 0
  2. Thank you it help a lot

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Probability and Statistics

    An oil prospector will drill a succession of holes in a given area to find a productive well. The probability that he is successful on a given trial is 0.2. a) What's the probability that that the third hole drilled is the first

  2. Physics

    A ball and a thin plate are made from different materials and have the same initial temperature. The ball does not fit through a hole in the plate, because the diameter of the ball is slightly larger than the diameter of the hole.

  3. math

    Determine which pizza is the better buy: A 10-inch diameter pizza for $8.99 or a 6-inch diameter pizza for $5 10-inch diameter pizza for $8.99 6-inch diameter pizza for $5 p.s. There are only two options

  4. Math

    cameron is playing 9 holes of golf. He needs to score a total of at most 15 over par on the last four holes to beat his best golf score. On the last four holes, he scores 5 over par, 1 under par, 6 over par and 1 under par. a.

  1. physics

    Comic-book superheroes are sometimes able to punch holes through steel walls. (a) If the ultimate shear strength of steel is taken to be 3.00 x 10^9 Pa, what force is required to punch through a steel plate 1.90 cm thick? Assume

  2. Math

    Twelve equally spaced holes are to be drilled in a 34 1/4 inch metal strip, after 2 inches are cut off on each end. What is the distance, to the nearest hundredth of an inch, from center to center of 2 consecutive holes? _______

  3. Physics 4B

    To make a secure fit, rivets that are larger than the rivet hole are often used and the rivet is cooled (usually in dry ice) before it is placed in the hole. A steel rivet 1.873 cm in diameter is to be placed in a hole 1.871 cm in

  4. Mathematics -- Geometry --

    A bowling ball is a solid ball with a spherical surface and diameter 30 cm. To custom fit a bowling ball for each bowler, three holes are drilled in the ball. Bowler Kris has holes drilled that are 8 cm deep and have diameters of

  1. Elementary education

    A napkin ring is being made of cast silver. It has the shape of a cylinder 1.25 inches high, with a cylindrical hole 2 inch in diameter and a thickness of 1/16 inch. How many ounces of silver are needed? [silver weighs 6 ounces

  2. Algebra

    On an 18-hole golf course, there are par-3 holes, par-4 holes, and par-5 holes. A golfer who shoots par on every hole has a total of 66. There are twice as many par-4 holes as there are par-5 holes. How many of each type of hole

  3. math

    6. Joe played golf with Sam on a speacial par 3 course.. They played nine holes. The expected number of strokes on hole was 3. A birdie is 1 below par. On nine holes Frank made par on 1 hole, got 2 birdies, one eagle, four bogies

  4. Theory of machine

    A punching machine carries out 5 holes per minute. Each hole of 30 mm dia in 40 mm thick plate requires 10 NM of energy per mm^2 of the sheared area. The punch has a stroke of 90 mm. find the power of the motor required if the

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