26. The angles of a triangle are in the ratio 1:3:5. What is the measure, in degrees, of the largest angle of the
triangle?
27. Each face of a cube is identical to two faces of rectangular prism whose edges are all integers larger than
one unit in measure. If the surface area of one face of the prism is 9 square units and the surface area of
another face of the prism is 21 square units, find the possible surface area of the cube.
28. The numbers 1 through 40 are written on 40 cards, one number on each card, and stacked in a deck. The
cards numbered 2, 8, 12, 16, 24, 30, and 38 are removed from the deck. If Jodi now selects a card at random
from the deck, what is the probability that the card’s number is a multiple of 4 and a factor of 40?
29. Suppose the amount of radiation that could be received from a microwave oven varies inversely as the
square of the distance from it. How many feet away must you stand to reduce your potential radiation
exposure to
1
1
6
the amount you could have received standing 1 foot away?
30. The variable
x represents Cindy’s favorite number and the variable
y represents Wendy’s favorite number.
For this given
x and
y , if
x >
y > 1,
x and
y are both prime numbers, and
x and
y are both whole numbers,
how many whole number factors exist for the product of the girls’ favorite numbers?
RECYCLER ALUMINUM CARDBOARD GLASS PLASTIC x .06/pound .03/pound .08/pound .02/pound y .07/pound .04/pound .07/pound
