The area of the smallest equilateral triangle with one vertex on each of the sides of the right triangle with side lengths and as shown, is where m, n, and p are positive integers, m and n are relatively prime, and p is not divisible by the square of any prime. what is m + n + p?

The box plot shows the number of raisins found in sample boxes from brand c and from brand d. each box weighs the same. what could you infer by comparing the range of the data for each brand? a) a box of raisins from either brand has about 28 raisins. b) the number of raisins in boxes from brand c varies more than boxes from brand d. c) the number of raisins in boxes from brand d varies more than boxes from brand c. d) the number of raisins in boxes from either brand varies about the same.

You are making a blueprint of your bedroom and you plan to use a scale factor of 18 . the actual width of your room is 14 feet and the actual length of your room is 16 feet. determine the width and length of your room on the blueprint. on the blueprint, your room will have a width of feet and a length of feet.

Arefrigeration system at your company uses temperature sensors fixed to read celsius (°c) values, but the system operators in your control room understand only the fahrenheit scale. you have been asked to make a fahrenheit (°f) label for the high temperature alarm, which is set to ring whenever the system temperature rises above –10°c. what fahrenheit value should you write on the label