Algebra 2 Honors
Assignment #16
Due: B Day
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Name:_______________
Please remember to show all of your work.
Please do your work on a SEPARATE PIECE of paper.
If necessary round your answers to 2 decimal places.
Label all your answers.
1. A rectangular door measures 5 feet by 6 feet 8 inches. What is the distance from one
corner of the door to the diagonally opposite corner?
2. Three times the first of three consecutive integers is three more than twice the third. Find
the third integer.
3.
Jacob is standing at the edge of a 3000-ft deep canyon. He kicks a ball into the air with
an initial upward velocity of 32 feet per second. What is the greatest height above the
canyon’s edge the ball will reach?
4. One measure of the quality of an egg is the Haugh unit. An egg’s Haugh rating is given
by
where w is the weight of the egg in grams
and H is the height of the albumen in millimeters when the egg is broken on a flat
surface. Find the Haugh rating of an egg that weighs 48.7 grams if H = 5 millimeters.
5. A hard-boiled egg has a temperature of 98° C. If it is put into a sink that maintains a
temperature of 18° C, its temperature x minutes later is given by
.
Hilda needs her egg to be at exactly 30° C for decorating. How long should she leave it
in the water?
6. Find the ratio of the volume of the small box to that of the large box.
y
z4
3
x11y2z
x5y
z19
x15y10
7. Find the value of c if the line through (7, 2c – 5) and (3, -2) is parallel to the line through
(-6, c + 4) and (-9, 5).
8. The average of three fractions is 1/3. If two of the fractions are 2/5 and 1/4, what is the
value of the third fraction?
9. A gardener completes 5/8 of his landscaping job in 10 days. At this rate, how many days
will it take him to finish the job? Be sure to show your work or explain your answer.
10. If
, then what is the value of nn?